[{"data":1,"prerenderedAt":19554},["ShallowReactive",2],{"series:index":3,"content:\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture3":225,"surround:\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture3":19551},[4,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,84,89,94,98,103,108,113,118,123,128,133,138,143,148,153,158,163,168,173,178,182,186,190,195,200,204,208,212,216,220],{"stem":5,"path":6,"title":7,"date":8,"collapsed":9},"posts\u002F2024\u002FXZZD-Aquire-Score","\u002F2024\u002F10\u002F23\u002FXZZD-Aquire-Score","XZZD_Aquire_Score","2024-10-23 15:08:30",false,{"stem":11,"path":12,"title":13,"date":14,"collapsed":9},"posts\u002F2024\u002Felec-design-contest-2024","\u002F2024\u002F07\u002F07\u002Felec-design-contest-2024","东四——隐秘的角落","2024-07-07 11:44:32",{"stem":16,"path":17,"title":18,"date":19,"collapsed":9},"posts\u002F2024\u002Fmechanics","\u002F2024\u002F07\u002F08\u002Fmechanics","about力学","2024-07-08 14:14:07",{"stem":21,"path":22,"title":23,"date":24,"collapsed":9},"posts\u002F2025\u002F25GElecDesignContest","\u002F2025\u002F08\u002F26\u002F25GElecDesignContest","纪念最好的大二五组 - Soleil 的 电赛回忆录","2025-08-26 11:06:33",{"stem":26,"path":27,"title":28,"date":29,"collapsed":9},"posts\u002F2025\u002FEngineering-Innovation","\u002F2025\u002F01\u002F20\u002FEngineering-Innovation","工程实践与创新能力大赛","2025-01-20 22:20:59",{"stem":31,"path":32,"title":33,"date":34,"collapsed":9},"posts\u002F2025\u002FTOP","\u002F2025\u002F01\u002F20\u002FTOP","置顶","3025-01-20 21:53:36",{"stem":36,"path":37,"title":38,"date":39,"collapsed":9},"posts\u002FUGCourses\u002F1.freshman-spring\u002Fengineering-drawing-notes","\u002F2024\u002F06\u002F30\u002Fengineering-drawing-notes","工程图学期末复习","2024-06-30 21:02:09",{"stem":41,"path":42,"title":43,"date":44,"collapsed":9},"posts\u002FUGCourses\u002F1.freshman-spring\u002Findex","\u002Fugcourses\u002Ffreshman-spring","大一春夏","2024-06-30 19:15:28",{"stem":46,"path":47,"title":48,"date":49,"collapsed":9},"posts\u002FUGCourses\u002F2.sophomore-autumn\u002FComplex-Analysis","\u002F2025\u002F01\u002F21\u002FComplex-Analysis","复变函数与积分变换","2025-01-21 13:23:59",{"stem":51,"path":52,"title":53,"date":54,"collapsed":9},"posts\u002FUGCourses\u002F2.sophomore-autumn\u002FFundamentalsMarxism","\u002F2025\u002F06\u002F06\u002FFundamentalsMarxism","马克思主义基本原理","2025-06-06 00:22:45",{"stem":56,"path":57,"title":58,"date":59,"collapsed":9},"posts\u002FUGCourses\u002F2.sophomore-autumn\u002FMathematical-Modeling","\u002F2024\u002F09\u002F22\u002FMathematical-Modeling","数学建模（课程）","2024-09-22 19:07:42",{"stem":61,"path":62,"title":63,"date":64,"collapsed":9},"posts\u002FUGCourses\u002F2.sophomore-autumn\u002FMicroelectronic-Circuits","\u002F2025\u002F01\u002F20\u002FMicroelectronic-Circuits","电基小子","2025-01-20 23:02:49",{"stem":66,"path":67,"title":68,"date":69,"collapsed":9},"posts\u002FUGCourses\u002F2.sophomore-autumn\u002FMumerical-Analysis","\u002F2024\u002F09\u002F19\u002FMumerical-Analysis","数值分析方法","2024-09-19 17:12:56",{"stem":71,"path":72,"title":73,"date":74,"collapsed":9},"posts\u002FUGCourses\u002F2.sophomore-autumn\u002FProbability-Theory","\u002F2025\u002F01\u002F21\u002FProbability-Theory","概率论与数理统计","2025-01-21 12:52:11",{"stem":76,"path":77,"title":78,"date":79,"collapsed":9},"posts\u002FUGCourses\u002F2.sophomore-autumn\u002Fengineering-training","\u002F2024\u002F09\u002F17\u002Fengineering-training","工程训练","2024-09-17 21:40:26",{"stem":81,"path":82,"title":83,"date":44,"collapsed":9},"posts\u002FUGCourses\u002F2.sophomore-autumn\u002Findex","\u002Fugcourses\u002Fsophomore-autumn","大二秋冬",{"stem":85,"path":86,"title":87,"date":88,"collapsed":9},"posts\u002FUGCourses\u002F2.sophomore-autumn\u002Fsolid-state-physics","\u002F2024\u002F09\u002F11\u002Fsolid-state-physics","固体物理基础","2024-09-11 19:15:26",{"stem":90,"path":91,"title":92,"date":93,"collapsed":9},"posts\u002FUGCourses\u002F3.sophomore-spring\u002FMaoTheory","\u002F2025\u002F06\u002F12\u002FMaoTheory","毛概","2025-06-12 14:58:16",{"stem":95,"path":96,"title":97,"date":44,"collapsed":9},"posts\u002FUGCourses\u002F3.sophomore-spring\u002Findex","\u002Fugcourses\u002Fsophomore-spring","大二春夏",{"stem":99,"path":100,"title":101,"date":102,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FLecture1","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture1","Lecture 1：摩尔定律与 CMOS","2026-09-09 19:39:00",{"stem":104,"path":105,"title":106,"date":107,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FLecture10","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture10","Lecture 10：从 MOS 电容到 MOSFET","2026-09-10 00:10:00",{"stem":109,"path":110,"title":111,"date":112,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FLecture11","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture11","Lecture 11：亚阈值效应与 MOSFET 尺寸缩放","2026-09-10 00:20:00",{"stem":114,"path":115,"title":116,"date":117,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FLecture12","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture12","Lecture 12：MOSFET 尺寸缩微","2026-09-10 00:30:00",{"stem":119,"path":120,"title":121,"date":122,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FLecture13","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture13","Lecture 13：MOS 新范式","2026-09-10 00:40:00",{"stem":124,"path":125,"title":126,"date":127,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FLecture2","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture2","Lecture 2：半导体基础","2026-09-09 19:39:31",{"stem":129,"path":130,"title":131,"date":132,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FLecture3","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture3","Lecture 3：费米能级、载流子散射与迁移率","2026-09-09 21:00:00",{"stem":134,"path":135,"title":136,"date":137,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FLecture4","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture4","Lecture 4：漂移电流、扩散电流与产生复合","2026-09-09 23:00:00",{"stem":139,"path":140,"title":141,"date":142,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FLecture5","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture5","Lecture 5：PN 结与耗尽区","2026-09-09 23:10:00",{"stem":144,"path":145,"title":146,"date":147,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FLecture6","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture6","Lecture 6：正向偏置 PN 结与理想二极管方程","2026-09-09 23:20:00",{"stem":149,"path":150,"title":151,"date":152,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FLecture7","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture7","Lecture 7：金半接触","2026-09-09 23:40:00",{"stem":154,"path":155,"title":156,"date":157,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FLecture8","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture8","Lecture 8：PN 结在光电领域的应用","2026-09-09 23:50:00",{"stem":159,"path":160,"title":161,"date":162,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FLecture9","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Flecture9","Lecture 9：MOS 电容","2026-09-10 00:00:00",{"stem":164,"path":165,"title":166,"date":167,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FMidtermExam","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Fmidtermexam","期中复习题","2026-09-09 23:30:00",{"stem":169,"path":170,"title":171,"date":172,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FMockExam","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices\u002Fmockexam","押题密卷","2026-09-10 00:50:00",{"stem":174,"path":175,"title":176,"date":102,"collapsed":177},"posts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002Findex","\u002Fugcourses\u002Fjunior-autumn\u002Fmicroelectronic-devices","微电子器件",true,{"stem":179,"path":180,"title":181,"date":44,"collapsed":9},"posts\u002FUGCourses\u002F4.junior-autumn\u002Findex","\u002Fugcourses\u002Fjunior-autumn","大三秋冬",{"stem":183,"path":184,"title":185,"date":44,"collapsed":9},"posts\u002FUGCourses\u002F5.junior-spring\u002Findex","\u002Fugcourses\u002Fjunior-spring","大三春夏",{"stem":187,"path":188,"title":189,"date":44,"collapsed":9},"posts\u002FUGCourses\u002Findex","\u002Fugcourses","本科课程",{"stem":191,"path":192,"title":193,"date":194,"collapsed":9},"posts\u002Fubuntu\u002F1.config","\u002Fubuntu\u002Fconfig","ubuntu 系统配置","2025-08-26 19:38:06",{"stem":196,"path":197,"title":198,"date":199,"collapsed":9},"posts\u002Fubuntu\u002F2.cadence\u002F1.mmsim","\u002Fubuntu\u002Fcadence\u002Fmmsim","在 Ubuntu 24.04 上安装 Cadence MMSIM 15.1 的兼容性问题","2026-09-09 14:06:40",{"stem":201,"path":202,"title":203,"date":199,"collapsed":9},"posts\u002Fubuntu\u002F2.cadence\u002F2.innovus","\u002Fubuntu\u002Fcadence\u002Finnovus","Innovus安装",{"stem":205,"path":206,"title":207,"date":199,"collapsed":9},"posts\u002Fubuntu\u002F2.cadence\u002Findex","\u002Fubuntu\u002Fcadence","Ubuntu24.04安装Cadence 系列软件",{"stem":209,"path":210,"title":211,"date":199,"collapsed":9},"posts\u002Fubuntu\u002F3.synopsys","\u002Fubuntu\u002Fsynopsys","Ubuntu 24.04 安装 Synopsys",{"stem":213,"path":214,"title":215,"date":199,"collapsed":9},"posts\u002Fubuntu\u002F4.vivado","\u002Fubuntu\u002Fvivado","Ubuntu 24.04 安装 Vivado 2020.1",{"stem":217,"path":218,"title":219,"date":199,"collapsed":9},"posts\u002Fubuntu\u002F5.migrate","\u002Fubuntu\u002Fmigrate","硬盘迁移系统",{"stem":221,"path":222,"title":223,"date":224,"collapsed":9},"posts\u002Fubuntu\u002Findex","\u002Fubuntu","Ubuntu装进移动硬盘","2025-08-25 19:38:06",{"id":226,"title":131,"body":227,"categories":19506,"collapsed":9,"date":132,"description":19507,"draft":9,"extension":19508,"hideInArchive":177,"hideInList":177,"image":19509,"meta":19510,"navigation":177,"path":130,"permalink":19509,"published":19509,"readingTime":19512,"recommend":19509,"references":19509,"seo":19517,"sitemap":19518,"stem":129,"tags":19546,"type":19549,"updated":132,"__hash__":19550},"content\u002Fposts\u002FUGCourses\u002F4.junior-autumn\u002F1.microelectronic-devices\u002FLecture3.md",{"type":228,"value":229,"toc":19463},"minimark",[230,344,493,500,503,1096,1386,1462,1588,2048,2631,3377,3640,4069,4324,4938,5551,5554,6661,7756,7759,8252,8255,8669,8673,8683,8952,8958,8962,8969,8975,8978,9320,9324,9404,9763,9769,9956,9961,9965,9968,9974,11431,11492,11495,11677,11680,11794,11797,12391,12974,13341,13347,13350,13354,13360,13363,14235,14239,14245,14256,14327,15778,15782,15785,15824,15829,15835,15841,15845,15851,15855,15861,15876,15972,15976,15982,16067,16071,16075,16081,16095,16100,16104,16110,16130,16135,16138,16142,16157,16173,16178,16321,16325,16331,16336,16343,16420,16429,16438,16442,16445,16449,16455,16774,17002,17354,17357,17625,17630,17634,17637,17643,17648,17801,17806,17812,17817,17821,17858,18273,18279,18341,18797,19062,19066,19072,19078,19084,19222,19228,19235,19239,19245,19255,19364,19377,19381,19460],[231,232,234,235,343],"h2",{"id":233},"dependence-of-efe_fef-on-net-dopant-concentration-and-temperature-费米能级与净掺杂浓度温度的关系","Dependence of ",[236,237,240,269],"span",{"className":238},[239],"katex",[236,241,244],{"className":242},[243],"katex-mathml",[245,246,248],"math",{"xmlns":247},"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML",[249,250,251,264],"semantics",{},[252,253,254],"mrow",{},[255,256,257,261],"msub",{},[258,259,260],"mi",{},"E",[258,262,263],{},"F",[265,266,268],"annotation",{"encoding":267},"application\u002Fx-tex","E_F",[236,270,274],{"className":271,"ariaHidden":273},[272],"katex-html","true",[236,275,278,283],{"className":276},[277],"base",[236,279],{"className":280,"style":282},[281],"strut","height:0.8333em;vertical-align:-0.15em;",[236,284,287,292],{"className":285},[286],"mord",[236,288,260],{"className":289,"style":291},[286,290],"mathnormal","margin-right:0.0576em;",[236,293,296],{"className":294},[295],"msupsub",[236,297,301,334],{"className":298},[299,300],"vlist-t","vlist-t2",[236,302,305,329],{"className":303},[304],"vlist-r",[236,306,310],{"className":307,"style":309},[308],"vlist","height:0.3283em;",[236,311,313,318],{"style":312},"top:-2.55em;margin-left:-0.0576em;margin-right:0.05em;",[236,314],{"className":315,"style":317},[316],"pstrut","height:2.7em;",[236,319,325],{"className":320},[321,322,323,324],"sizing","reset-size6","size3","mtight",[236,326,263],{"className":327,"style":328},[286,290,324],"margin-right:0.1389em;",[236,330,333],{"className":331},[332],"vlist-s","​",[236,335,337],{"className":336},[304],[236,338,341],{"className":339,"style":340},[308],"height:0.15em;",[236,342],{}," on Net Dopant Concentration and Temperature ｜ 费米能级与净掺杂浓度、温度的关系",[345,346,347,348,492],"p",{},"净掺杂浓度：对于 N 型，为 ",[236,349,351,382],{"className":350},[239],[236,352,354],{"className":353},[243],[245,355,356],{"xmlns":247},[249,357,358,379],{},[252,359,360,368,372],{},[255,361,362,365],{},[258,363,364],{},"N",[258,366,367],{},"D",[369,370,371],"mo",{},"−",[255,373,374,376],{},[258,375,364],{},[258,377,378],{},"A",[265,380,381],{"encoding":267},"N_D - N_A",[236,383,385,446],{"className":384,"ariaHidden":273},[272],[236,386,388,391,434,439,443],{"className":387},[277],[236,389],{"className":390,"style":282},[281],[236,392,394,398],{"className":393},[286],[236,395,364],{"className":396,"style":397},[286,290],"margin-right:0.109em;",[236,399,401],{"className":400},[295],[236,402,404,426],{"className":403},[299,300],[236,405,407,423],{"className":406},[304],[236,408,410],{"className":409,"style":309},[308],[236,411,413,416],{"style":412},"top:-2.55em;margin-left:-0.109em;margin-right:0.05em;",[236,414],{"className":415,"style":317},[316],[236,417,419],{"className":418},[321,322,323,324],[236,420,367],{"className":421,"style":422},[286,290,324],"margin-right:0.0278em;",[236,424,333],{"className":425},[332],[236,427,429],{"className":428},[304],[236,430,432],{"className":431,"style":340},[308],[236,433],{},[236,435],{"className":436,"style":438},[437],"mspace","margin-right:0.2222em;",[236,440,371],{"className":441},[442],"mbin",[236,444],{"className":445,"style":438},[437],[236,447,449,452],{"className":448},[277],[236,450],{"className":451,"style":282},[281],[236,453,455,458],{"className":454},[286],[236,456,364],{"className":457,"style":397},[286,290],[236,459,461],{"className":460},[295],[236,462,464,484],{"className":463},[299,300],[236,465,467,481],{"className":466},[304],[236,468,470],{"className":469,"style":309},[308],[236,471,472,475],{"style":412},[236,473],{"className":474,"style":317},[316],[236,476,478],{"className":477},[321,322,323,324],[236,479,378],{"className":480},[286,290,324],[236,482,333],{"className":483},[332],[236,485,487],{"className":486},[304],[236,488,490],{"className":489,"style":340},[308],[236,491],{},"。",[345,494,495],{},[496,497],"img",{"alt":498,"src":499},"Ef vs dopant concentration and temperature","\u002Fimg\u002FMicroelectronicDevices\u002FLecture3-01.png",[345,501,502],{},"For N-type:",[236,504,507],{"className":505},[506],"katex-display",[236,508,510,623],{"className":509},[239],[236,511,513],{"className":512},[243],[245,514,516],{"xmlns":247,"display":515},"block",[249,517,518,620],{},[252,519,520,523,526,533,574,578,581,583,589,591,597,599,601,603,606,609],{},[258,521,522],{},"n",[369,524,525],{},"=",[255,527,528,530],{},[258,529,364],{},[258,531,532],{},"c",[534,535,536,539],"msup",{},[258,537,538],{},"e",[252,540,541,543,547,553,555,561,564,568,571],{},[369,542,371],{},[369,544,546],{"stretchy":545},"false","(",[255,548,549,551],{},[258,550,260],{},[258,552,532],{},[369,554,371],{},[255,556,557,559],{},[258,558,260],{},[258,560,263],{},[369,562,563],{"stretchy":545},")",[258,565,567],{"mathvariant":566},"normal","\u002F",[258,569,570],{},"k",[258,572,573],{},"T",[575,576,577],"mtext",{},"  ",[369,579,580],{},"⇒",[575,582,577],{},[255,584,585,587],{},[258,586,260],{},[258,588,263],{},[369,590,525],{},[255,592,593,595],{},[258,594,260],{},[258,596,532],{},[369,598,371],{},[258,600,570],{},[258,602,573],{},[258,604,605],{},"ln",[369,607,608],{},"⁡",[610,611,612,618],"mfrac",{},[255,613,614,616],{},[258,615,364],{},[258,617,532],{},[258,619,522],{},[265,621,622],{"encoding":267},"n = N_c e^{-(E_c - E_F)\u002FkT} \\;\\Rightarrow\\; E_F = E_c - kT \\ln\\frac{N_c}{n}",[236,624,626,647,854,909,964],{"className":625,"ariaHidden":273},[272],[236,627,629,633,636,640,644],{"className":628},[277],[236,630],{"className":631,"style":632},[281],"height:0.4306em;",[236,634,522],{"className":635},[286,290],[236,637],{"className":638,"style":639},[437],"margin-right:0.2778em;",[236,641,525],{"className":642},[643],"mrel",[236,645],{"className":646,"style":639},[437],[236,648,650,654,695,839,842,845,848,851],{"className":649},[277],[236,651],{"className":652,"style":653},[281],"height:1.088em;vertical-align:-0.15em;",[236,655,657,660],{"className":656},[286],[236,658,364],{"className":659,"style":397},[286,290],[236,661,663],{"className":662},[295],[236,664,666,687],{"className":665},[299,300],[236,667,669,684],{"className":668},[304],[236,670,673],{"className":671,"style":672},[308],"height:0.1514em;",[236,674,675,678],{"style":412},[236,676],{"className":677,"style":317},[316],[236,679,681],{"className":680},[321,322,323,324],[236,682,532],{"className":683},[286,290,324],[236,685,333],{"className":686},[332],[236,688,690],{"className":689},[304],[236,691,693],{"className":692,"style":340},[308],[236,694],{},[236,696,698,701],{"className":697},[286],[236,699,538],{"className":700},[286,290],[236,702,704],{"className":703},[295],[236,705,707],{"className":706},[299],[236,708,710],{"className":709},[304],[236,711,714],{"className":712,"style":713},[308],"height:0.938em;",[236,715,717,720],{"style":716},"top:-3.113em;margin-right:0.05em;",[236,718],{"className":719,"style":317},[316],[236,721,723],{"className":722},[321,322,323,324],[236,724,726,729,733,779,782,825,829,832,836],{"className":725},[286,324],[236,727,371],{"className":728},[286,324],[236,730,546],{"className":731},[732,324],"mopen",[236,734,736,739],{"className":735},[286,324],[236,737,260],{"className":738,"style":291},[286,290,324],[236,740,742],{"className":741},[295],[236,743,745,770],{"className":744},[299,300],[236,746,748,767],{"className":747},[304],[236,749,752],{"className":750,"style":751},[308],"height:0.1645em;",[236,753,755,759],{"style":754},"top:-2.357em;margin-left:-0.0576em;margin-right:0.0714em;",[236,756],{"className":757,"style":758},[316],"height:2.5em;",[236,760,764],{"className":761},[321,762,763,324],"reset-size3","size1",[236,765,532],{"className":766},[286,290,324],[236,768,333],{"className":769},[332],[236,771,773],{"className":772},[304],[236,774,777],{"className":775,"style":776},[308],"height:0.143em;",[236,778],{},[236,780,371],{"className":781},[442,324],[236,783,785,788],{"className":784},[286,324],[236,786,260],{"className":787,"style":291},[286,290,324],[236,789,791],{"className":790},[295],[236,792,794,816],{"className":793},[299,300],[236,795,797,813],{"className":796},[304],[236,798,801],{"className":799,"style":800},[308],"height:0.3448em;",[236,802,804,807],{"style":803},"top:-2.3567em;margin-left:-0.0576em;margin-right:0.0714em;",[236,805],{"className":806,"style":758},[316],[236,808,810],{"className":809},[321,762,763,324],[236,811,263],{"className":812,"style":328},[286,290,324],[236,814,333],{"className":815},[332],[236,817,819],{"className":818},[304],[236,820,823],{"className":821,"style":822},[308],"height:0.1433em;",[236,824],{},[236,826,563],{"className":827},[828,324],"mclose",[236,830,567],{"className":831},[286,324],[236,833,570],{"className":834,"style":835},[286,290,324],"margin-right:0.0315em;",[236,837,573],{"className":838,"style":328},[286,290,324],[236,840],{"className":841,"style":639},[437],[236,843],{"className":844,"style":639},[437],[236,846,580],{"className":847},[643],[236,849],{"className":850,"style":639},[437],[236,852],{"className":853,"style":639},[437],[236,855,857,860,900,903,906],{"className":856},[277],[236,858],{"className":859,"style":282},[281],[236,861,863,866],{"className":862},[286],[236,864,260],{"className":865,"style":291},[286,290],[236,867,869],{"className":868},[295],[236,870,872,892],{"className":871},[299,300],[236,873,875,889],{"className":874},[304],[236,876,878],{"className":877,"style":309},[308],[236,879,880,883],{"style":312},[236,881],{"className":882,"style":317},[316],[236,884,886],{"className":885},[321,322,323,324],[236,887,263],{"className":888,"style":328},[286,290,324],[236,890,333],{"className":891},[332],[236,893,895],{"className":894},[304],[236,896,898],{"className":897,"style":340},[308],[236,899],{},[236,901],{"className":902,"style":639},[437],[236,904,525],{"className":905},[643],[236,907],{"className":908,"style":639},[437],[236,910,912,915,955,958,961],{"className":911},[277],[236,913],{"className":914,"style":282},[281],[236,916,918,921],{"className":917},[286],[236,919,260],{"className":920,"style":291},[286,290],[236,922,924],{"className":923},[295],[236,925,927,947],{"className":926},[299,300],[236,928,930,944],{"className":929},[304],[236,931,933],{"className":932,"style":672},[308],[236,934,935,938],{"style":312},[236,936],{"className":937,"style":317},[316],[236,939,941],{"className":940},[321,322,323,324],[236,942,532],{"className":943},[286,290,324],[236,945,333],{"className":946},[332],[236,948,950],{"className":949},[304],[236,951,953],{"className":952,"style":340},[308],[236,954],{},[236,956],{"className":957,"style":438},[437],[236,959,371],{"className":960},[442],[236,962],{"className":963,"style":438},[437],[236,965,967,971,974,977,981,985,988],{"className":966},[277],[236,968],{"className":969,"style":970},[281],"height:2.0463em;vertical-align:-0.686em;",[236,972,570],{"className":973,"style":835},[286,290],[236,975,573],{"className":976,"style":328},[286,290],[236,978],{"className":979,"style":980},[437],"margin-right:0.1667em;",[236,982,605],{"className":983},[984],"mop",[236,986],{"className":987,"style":980},[437],[236,989,991,995,1093],{"className":990},[286],[236,992],{"className":993},[732,994],"nulldelimiter",[236,996,998],{"className":997},[610],[236,999,1001,1084],{"className":1000},[299,300],[236,1002,1004,1081],{"className":1003},[304],[236,1005,1008,1021,1032],{"className":1006,"style":1007},[308],"height:1.3603em;",[236,1009,1011,1015],{"style":1010},"top:-2.314em;",[236,1012],{"className":1013,"style":1014},[316],"height:3em;",[236,1016,1018],{"className":1017},[286],[236,1019,522],{"className":1020},[286,290],[236,1022,1024,1027],{"style":1023},"top:-3.23em;",[236,1025],{"className":1026,"style":1014},[316],[236,1028],{"className":1029,"style":1031},[1030],"frac-line","border-bottom-width:0.04em;",[236,1033,1035,1038],{"style":1034},"top:-3.677em;",[236,1036],{"className":1037,"style":1014},[316],[236,1039,1041],{"className":1040},[286],[236,1042,1044,1047],{"className":1043},[286],[236,1045,364],{"className":1046,"style":397},[286,290],[236,1048,1050],{"className":1049},[295],[236,1051,1053,1073],{"className":1052},[299,300],[236,1054,1056,1070],{"className":1055},[304],[236,1057,1059],{"className":1058,"style":672},[308],[236,1060,1061,1064],{"style":412},[236,1062],{"className":1063,"style":317},[316],[236,1065,1067],{"className":1066},[321,322,323,324],[236,1068,532],{"className":1069},[286,290,324],[236,1071,333],{"className":1072},[332],[236,1074,1076],{"className":1075},[304],[236,1077,1079],{"className":1078,"style":340},[308],[236,1080],{},[236,1082,333],{"className":1083},[332],[236,1085,1087],{"className":1086},[304],[236,1088,1091],{"className":1089,"style":1090},[308],"height:0.686em;",[236,1092],{},[236,1094],{"className":1095},[828,994],[1097,1098,1099],"blockquote",{},[345,1100,1101,1102,1171,1172,1242,1243,1315,1316,1385],{},"非简并模型：掺得越多，",[236,1103,1105,1122],{"className":1104},[239],[236,1106,1108],{"className":1107},[243],[245,1109,1110],{"xmlns":247},[249,1111,1112,1120],{},[252,1113,1114],{},[255,1115,1116,1118],{},[258,1117,260],{},[258,1119,263],{},[265,1121,268],{"encoding":267},[236,1123,1125],{"className":1124,"ariaHidden":273},[272],[236,1126,1128,1131],{"className":1127},[277],[236,1129],{"className":1130,"style":282},[281],[236,1132,1134,1137],{"className":1133},[286],[236,1135,260],{"className":1136,"style":291},[286,290],[236,1138,1140],{"className":1139},[295],[236,1141,1143,1163],{"className":1142},[299,300],[236,1144,1146,1160],{"className":1145},[304],[236,1147,1149],{"className":1148,"style":309},[308],[236,1150,1151,1154],{"style":312},[236,1152],{"className":1153,"style":317},[316],[236,1155,1157],{"className":1156},[321,322,323,324],[236,1158,263],{"className":1159,"style":328},[286,290,324],[236,1161,333],{"className":1162},[332],[236,1164,1166],{"className":1165},[304],[236,1167,1169],{"className":1168,"style":340},[308],[236,1170],{}," 就越靠近你引入的杂质的那一侧带边（n 型靠 ",[236,1173,1175,1193],{"className":1174},[239],[236,1176,1178],{"className":1177},[243],[245,1179,1180],{"xmlns":247},[249,1181,1182,1190],{},[252,1183,1184],{},[255,1185,1186,1188],{},[258,1187,260],{},[258,1189,532],{},[265,1191,1192],{"encoding":267},"E_c",[236,1194,1196],{"className":1195,"ariaHidden":273},[272],[236,1197,1199,1202],{"className":1198},[277],[236,1200],{"className":1201,"style":282},[281],[236,1203,1205,1208],{"className":1204},[286],[236,1206,260],{"className":1207,"style":291},[286,290],[236,1209,1211],{"className":1210},[295],[236,1212,1214,1234],{"className":1213},[299,300],[236,1215,1217,1231],{"className":1216},[304],[236,1218,1220],{"className":1219,"style":672},[308],[236,1221,1222,1225],{"style":312},[236,1223],{"className":1224,"style":317},[316],[236,1226,1228],{"className":1227},[321,322,323,324],[236,1229,532],{"className":1230},[286,290,324],[236,1232,333],{"className":1233},[332],[236,1235,1237],{"className":1236},[304],[236,1238,1240],{"className":1239,"style":340},[308],[236,1241],{},"，p 型靠 ",[236,1244,1246,1265],{"className":1245},[239],[236,1247,1249],{"className":1248},[243],[245,1250,1251],{"xmlns":247},[249,1252,1253,1262],{},[252,1254,1255],{},[255,1256,1257,1259],{},[258,1258,260],{},[258,1260,1261],{},"v",[265,1263,1264],{"encoding":267},"E_v",[236,1266,1268],{"className":1267,"ariaHidden":273},[272],[236,1269,1271,1274],{"className":1270},[277],[236,1272],{"className":1273,"style":282},[281],[236,1275,1277,1280],{"className":1276},[286],[236,1278,260],{"className":1279,"style":291},[286,290],[236,1281,1283],{"className":1282},[295],[236,1284,1286,1307],{"className":1285},[299,300],[236,1287,1289,1304],{"className":1288},[304],[236,1290,1292],{"className":1291,"style":672},[308],[236,1293,1294,1297],{"style":312},[236,1295],{"className":1296,"style":317},[316],[236,1298,1300],{"className":1299},[321,322,323,324],[236,1301,1261],{"className":1302,"style":1303},[286,290,324],"margin-right:0.0359em;",[236,1305,333],{"className":1306},[332],[236,1308,1310],{"className":1309},[304],[236,1311,1313],{"className":1312,"style":340},[308],[236,1314],{},"）；温度越高，",[236,1317,1319,1336],{"className":1318},[239],[236,1320,1322],{"className":1321},[243],[245,1323,1324],{"xmlns":247},[249,1325,1326,1334],{},[252,1327,1328],{},[255,1329,1330,1332],{},[258,1331,260],{},[258,1333,263],{},[265,1335,268],{"encoding":267},[236,1337,1339],{"className":1338,"ariaHidden":273},[272],[236,1340,1342,1345],{"className":1341},[277],[236,1343],{"className":1344,"style":282},[281],[236,1346,1348,1351],{"className":1347},[286],[236,1349,260],{"className":1350,"style":291},[286,290],[236,1352,1354],{"className":1353},[295],[236,1355,1357,1377],{"className":1356},[299,300],[236,1358,1360,1374],{"className":1359},[304],[236,1361,1363],{"className":1362,"style":309},[308],[236,1364,1365,1368],{"style":312},[236,1366],{"className":1367,"style":317},[316],[236,1369,1371],{"className":1370},[321,322,323,324],[236,1372,263],{"className":1373,"style":328},[286,290,324],[236,1375,333],{"className":1376},[332],[236,1378,1380],{"className":1379},[304],[236,1381,1383],{"className":1382,"style":340},[308],[236,1384],{}," 又会往带隙中部\"退\"一些；到重掺杂时需用简并模型。",[231,1387,1389,1390],{"id":1388},"intrinsic-fermi-level-本征费米能级-eie_iei","Intrinsic Fermi Level ｜ 本征费米能级 ",[236,1391,1393,1412],{"className":1392},[239],[236,1394,1396],{"className":1395},[243],[245,1397,1398],{"xmlns":247},[249,1399,1400,1409],{},[252,1401,1402],{},[255,1403,1404,1406],{},[258,1405,260],{},[258,1407,1408],{},"i",[265,1410,1411],{"encoding":267},"E_i",[236,1413,1415],{"className":1414,"ariaHidden":273},[272],[236,1416,1418,1421],{"className":1417},[277],[236,1419],{"className":1420,"style":282},[281],[236,1422,1424,1427],{"className":1423},[286],[236,1425,260],{"className":1426,"style":291},[286,290],[236,1428,1430],{"className":1429},[295],[236,1431,1433,1454],{"className":1432},[299,300],[236,1434,1436,1451],{"className":1435},[304],[236,1437,1440],{"className":1438,"style":1439},[308],"height:0.3117em;",[236,1441,1442,1445],{"style":312},[236,1443],{"className":1444,"style":317},[316],[236,1446,1448],{"className":1447},[321,322,323,324],[236,1449,1408],{"className":1450},[286,290,324],[236,1452,333],{"className":1453},[332],[236,1455,1457],{"className":1456},[304],[236,1458,1460],{"className":1459,"style":340},[308],[236,1461],{},[345,1463,1464,1465,1534,1535,1587],{},"To find ",[236,1466,1468,1485],{"className":1467},[239],[236,1469,1471],{"className":1470},[243],[245,1472,1473],{"xmlns":247},[249,1474,1475,1483],{},[252,1476,1477],{},[255,1478,1479,1481],{},[258,1480,260],{},[258,1482,263],{},[265,1484,268],{"encoding":267},[236,1486,1488],{"className":1487,"ariaHidden":273},[272],[236,1489,1491,1494],{"className":1490},[277],[236,1492],{"className":1493,"style":282},[281],[236,1495,1497,1500],{"className":1496},[286],[236,1498,260],{"className":1499,"style":291},[286,290],[236,1501,1503],{"className":1502},[295],[236,1504,1506,1526],{"className":1505},[299,300],[236,1507,1509,1523],{"className":1508},[304],[236,1510,1512],{"className":1511,"style":309},[308],[236,1513,1514,1517],{"style":312},[236,1515],{"className":1516,"style":317},[316],[236,1518,1520],{"className":1519},[321,322,323,324],[236,1521,263],{"className":1522,"style":328},[286,290,324],[236,1524,333],{"className":1525},[332],[236,1527,1529],{"className":1528},[304],[236,1530,1532],{"className":1531,"style":340},[308],[236,1533],{}," for an intrinsic semiconductor, use the fact that ",[236,1536,1538,1556],{"className":1537},[239],[236,1539,1541],{"className":1540},[243],[245,1542,1543],{"xmlns":247},[249,1544,1545,1553],{},[252,1546,1547,1549,1551],{},[258,1548,522],{},[369,1550,525],{},[258,1552,345],{},[265,1554,1555],{"encoding":267},"n = p",[236,1557,1559,1577],{"className":1558,"ariaHidden":273},[272],[236,1560,1562,1565,1568,1571,1574],{"className":1561},[277],[236,1563],{"className":1564,"style":632},[281],[236,1566,522],{"className":1567},[286,290],[236,1569],{"className":1570,"style":639},[437],[236,1572,525],{"className":1573},[643],[236,1575],{"className":1576,"style":639},[437],[236,1578,1580,1584],{"className":1579},[277],[236,1581],{"className":1582,"style":1583},[281],"height:0.625em;vertical-align:-0.1944em;",[236,1585,345],{"className":1586},[286,290],":",[236,1589,1591],{"className":1590},[506],[236,1592,1594,1684],{"className":1593},[239],[236,1595,1597],{"className":1596},[243],[245,1598,1599],{"xmlns":247,"display":515},[249,1600,1601,1681],{},[252,1602,1603,1609,1641,1643,1649],{},[255,1604,1605,1607],{},[258,1606,364],{},[258,1608,532],{},[534,1610,1611,1613],{},[258,1612,538],{},[252,1614,1615,1617,1619,1625,1627,1633,1635,1637,1639],{},[369,1616,371],{},[369,1618,546],{"stretchy":545},[255,1620,1621,1623],{},[258,1622,260],{},[258,1624,532],{},[369,1626,371],{},[255,1628,1629,1631],{},[258,1630,260],{},[258,1632,263],{},[369,1634,563],{"stretchy":545},[258,1636,567],{"mathvariant":566},[258,1638,570],{},[258,1640,573],{},[369,1642,525],{},[255,1644,1645,1647],{},[258,1646,364],{},[258,1648,1261],{},[534,1650,1651,1653],{},[258,1652,538],{},[252,1654,1655,1657,1659,1665,1667,1673,1675,1677,1679],{},[369,1656,371],{},[369,1658,546],{"stretchy":545},[255,1660,1661,1663],{},[258,1662,260],{},[258,1664,263],{},[369,1666,371],{},[255,1668,1669,1671],{},[258,1670,260],{},[258,1672,1261],{},[369,1674,563],{"stretchy":545},[258,1676,567],{"mathvariant":566},[258,1678,570],{},[258,1680,573],{},[265,1682,1683],{"encoding":267},"N_c e^{-(E_c - E_F)\u002FkT} = N_v e^{-(E_F - E_v)\u002FkT}",[236,1685,1687,1872],{"className":1686,"ariaHidden":273},[272],[236,1688,1690,1693,1733,1863,1866,1869],{"className":1689},[277],[236,1691],{"className":1692,"style":653},[281],[236,1694,1696,1699],{"className":1695},[286],[236,1697,364],{"className":1698,"style":397},[286,290],[236,1700,1702],{"className":1701},[295],[236,1703,1705,1725],{"className":1704},[299,300],[236,1706,1708,1722],{"className":1707},[304],[236,1709,1711],{"className":1710,"style":672},[308],[236,1712,1713,1716],{"style":412},[236,1714],{"className":1715,"style":317},[316],[236,1717,1719],{"className":1718},[321,322,323,324],[236,1720,532],{"className":1721},[286,290,324],[236,1723,333],{"className":1724},[332],[236,1726,1728],{"className":1727},[304],[236,1729,1731],{"className":1730,"style":340},[308],[236,1732],{},[236,1734,1736,1739],{"className":1735},[286],[236,1737,538],{"className":1738},[286,290],[236,1740,1742],{"className":1741},[295],[236,1743,1745],{"className":1744},[299],[236,1746,1748],{"className":1747},[304],[236,1749,1751],{"className":1750,"style":713},[308],[236,1752,1753,1756],{"style":716},[236,1754],{"className":1755,"style":317},[316],[236,1757,1759],{"className":1758},[321,322,323,324],[236,1760,1762,1765,1768,1808,1811,1851,1854,1857,1860],{"className":1761},[286,324],[236,1763,371],{"className":1764},[286,324],[236,1766,546],{"className":1767},[732,324],[236,1769,1771,1774],{"className":1770},[286,324],[236,1772,260],{"className":1773,"style":291},[286,290,324],[236,1775,1777],{"className":1776},[295],[236,1778,1780,1800],{"className":1779},[299,300],[236,1781,1783,1797],{"className":1782},[304],[236,1784,1786],{"className":1785,"style":751},[308],[236,1787,1788,1791],{"style":754},[236,1789],{"className":1790,"style":758},[316],[236,1792,1794],{"className":1793},[321,762,763,324],[236,1795,532],{"className":1796},[286,290,324],[236,1798,333],{"className":1799},[332],[236,1801,1803],{"className":1802},[304],[236,1804,1806],{"className":1805,"style":776},[308],[236,1807],{},[236,1809,371],{"className":1810},[442,324],[236,1812,1814,1817],{"className":1813},[286,324],[236,1815,260],{"className":1816,"style":291},[286,290,324],[236,1818,1820],{"className":1819},[295],[236,1821,1823,1843],{"className":1822},[299,300],[236,1824,1826,1840],{"className":1825},[304],[236,1827,1829],{"className":1828,"style":800},[308],[236,1830,1831,1834],{"style":803},[236,1832],{"className":1833,"style":758},[316],[236,1835,1837],{"className":1836},[321,762,763,324],[236,1838,263],{"className":1839,"style":328},[286,290,324],[236,1841,333],{"className":1842},[332],[236,1844,1846],{"className":1845},[304],[236,1847,1849],{"className":1848,"style":822},[308],[236,1850],{},[236,1852,563],{"className":1853},[828,324],[236,1855,567],{"className":1856},[286,324],[236,1858,570],{"className":1859,"style":835},[286,290,324],[236,1861,573],{"className":1862,"style":328},[286,290,324],[236,1864],{"className":1865,"style":639},[437],[236,1867,525],{"className":1868},[643],[236,1870],{"className":1871,"style":639},[437],[236,1873,1875,1878,1918],{"className":1874},[277],[236,1876],{"className":1877,"style":653},[281],[236,1879,1881,1884],{"className":1880},[286],[236,1882,364],{"className":1883,"style":397},[286,290],[236,1885,1887],{"className":1886},[295],[236,1888,1890,1910],{"className":1889},[299,300],[236,1891,1893,1907],{"className":1892},[304],[236,1894,1896],{"className":1895,"style":672},[308],[236,1897,1898,1901],{"style":412},[236,1899],{"className":1900,"style":317},[316],[236,1902,1904],{"className":1903},[321,322,323,324],[236,1905,1261],{"className":1906,"style":1303},[286,290,324],[236,1908,333],{"className":1909},[332],[236,1911,1913],{"className":1912},[304],[236,1914,1916],{"className":1915,"style":340},[308],[236,1917],{},[236,1919,1921,1924],{"className":1920},[286],[236,1922,538],{"className":1923},[286,290],[236,1925,1927],{"className":1926},[295],[236,1928,1930],{"className":1929},[299],[236,1931,1933],{"className":1932},[304],[236,1934,1936],{"className":1935,"style":713},[308],[236,1937,1938,1941],{"style":716},[236,1939],{"className":1940,"style":317},[316],[236,1942,1944],{"className":1943},[321,322,323,324],[236,1945,1947,1950,1953,1993,1996,2036,2039,2042,2045],{"className":1946},[286,324],[236,1948,371],{"className":1949},[286,324],[236,1951,546],{"className":1952},[732,324],[236,1954,1956,1959],{"className":1955},[286,324],[236,1957,260],{"className":1958,"style":291},[286,290,324],[236,1960,1962],{"className":1961},[295],[236,1963,1965,1985],{"className":1964},[299,300],[236,1966,1968,1982],{"className":1967},[304],[236,1969,1971],{"className":1970,"style":800},[308],[236,1972,1973,1976],{"style":803},[236,1974],{"className":1975,"style":758},[316],[236,1977,1979],{"className":1978},[321,762,763,324],[236,1980,263],{"className":1981,"style":328},[286,290,324],[236,1983,333],{"className":1984},[332],[236,1986,1988],{"className":1987},[304],[236,1989,1991],{"className":1990,"style":822},[308],[236,1992],{},[236,1994,371],{"className":1995},[442,324],[236,1997,1999,2002],{"className":1998},[286,324],[236,2000,260],{"className":2001,"style":291},[286,290,324],[236,2003,2005],{"className":2004},[295],[236,2006,2008,2028],{"className":2007},[299,300],[236,2009,2011,2025],{"className":2010},[304],[236,2012,2014],{"className":2013,"style":751},[308],[236,2015,2016,2019],{"style":754},[236,2017],{"className":2018,"style":758},[316],[236,2020,2022],{"className":2021},[321,762,763,324],[236,2023,1261],{"className":2024,"style":1303},[286,290,324],[236,2026,333],{"className":2027},[332],[236,2029,2031],{"className":2030},[304],[236,2032,2034],{"className":2033,"style":776},[308],[236,2035],{},[236,2037,563],{"className":2038},[828,324],[236,2040,567],{"className":2041},[286,324],[236,2043,570],{"className":2044,"style":835},[286,290,324],[236,2046,573],{"className":2047,"style":328},[286,290,324],[236,2049,2051],{"className":2050},[506],[236,2052,2054,2136],{"className":2053},[239],[236,2055,2057],{"className":2056},[243],[245,2058,2059],{"xmlns":247,"display":515},[249,2060,2061,2133],{},[252,2062,2063,2069,2071,2094,2096,2106,2108,2110,2124,2127],{},[255,2064,2065,2067],{},[258,2066,260],{},[258,2068,263],{},[369,2070,525],{},[610,2072,2073,2090],{},[252,2074,2075,2081,2084],{},[255,2076,2077,2079],{},[258,2078,260],{},[258,2080,532],{},[369,2082,2083],{},"+",[255,2085,2086,2088],{},[258,2087,260],{},[258,2089,1261],{},[2091,2092,2093],"mn",{},"2",[369,2095,2083],{},[610,2097,2098,2104],{},[252,2099,2100,2102],{},[258,2101,570],{},[258,2103,573],{},[2091,2105,2093],{},[258,2107,605],{},[369,2109,608],{},[610,2111,2112,2118],{},[255,2113,2114,2116],{},[258,2115,364],{},[258,2117,1261],{},[255,2119,2120,2122],{},[258,2121,364],{},[258,2123,532],{},[369,2125,2126],{},"≡",[255,2128,2129,2131],{},[258,2130,260],{},[258,2132,1408],{},[265,2134,2135],{"encoding":267},"E_F = \\frac{E_c + E_v}{2} + \\frac{kT}{2} \\ln\\frac{N_v}{N_c} \\equiv E_i",[236,2137,2139,2194,2357,2585],{"className":2138,"ariaHidden":273},[272],[236,2140,2142,2145,2185,2188,2191],{"className":2141},[277],[236,2143],{"className":2144,"style":282},[281],[236,2146,2148,2151],{"className":2147},[286],[236,2149,260],{"className":2150,"style":291},[286,290],[236,2152,2154],{"className":2153},[295],[236,2155,2157,2177],{"className":2156},[299,300],[236,2158,2160,2174],{"className":2159},[304],[236,2161,2163],{"className":2162,"style":309},[308],[236,2164,2165,2168],{"style":312},[236,2166],{"className":2167,"style":317},[316],[236,2169,2171],{"className":2170},[321,322,323,324],[236,2172,263],{"className":2173,"style":328},[286,290,324],[236,2175,333],{"className":2176},[332],[236,2178,2180],{"className":2179},[304],[236,2181,2183],{"className":2182,"style":340},[308],[236,2184],{},[236,2186],{"className":2187,"style":639},[437],[236,2189,525],{"className":2190},[643],[236,2192],{"className":2193,"style":639},[437],[236,2195,2197,2200,2348,2351,2354],{"className":2196},[277],[236,2198],{"className":2199,"style":970},[281],[236,2201,2203,2206,2345],{"className":2202},[286],[236,2204],{"className":2205},[732,994],[236,2207,2209],{"className":2208},[610],[236,2210,2212,2337],{"className":2211},[299,300],[236,2213,2215,2334],{"className":2214},[304],[236,2216,2218,2229,2237],{"className":2217,"style":1007},[308],[236,2219,2220,2223],{"style":1010},[236,2221],{"className":2222,"style":1014},[316],[236,2224,2226],{"className":2225},[286],[236,2227,2093],{"className":2228},[286],[236,2230,2231,2234],{"style":1023},[236,2232],{"className":2233,"style":1014},[316],[236,2235],{"className":2236,"style":1031},[1030],[236,2238,2239,2242],{"style":1034},[236,2240],{"className":2241,"style":1014},[316],[236,2243,2245,2285,2288,2291,2294],{"className":2244},[286],[236,2246,2248,2251],{"className":2247},[286],[236,2249,260],{"className":2250,"style":291},[286,290],[236,2252,2254],{"className":2253},[295],[236,2255,2257,2277],{"className":2256},[299,300],[236,2258,2260,2274],{"className":2259},[304],[236,2261,2263],{"className":2262,"style":672},[308],[236,2264,2265,2268],{"style":312},[236,2266],{"className":2267,"style":317},[316],[236,2269,2271],{"className":2270},[321,322,323,324],[236,2272,532],{"className":2273},[286,290,324],[236,2275,333],{"className":2276},[332],[236,2278,2280],{"className":2279},[304],[236,2281,2283],{"className":2282,"style":340},[308],[236,2284],{},[236,2286],{"className":2287,"style":438},[437],[236,2289,2083],{"className":2290},[442],[236,2292],{"className":2293,"style":438},[437],[236,2295,2297,2300],{"className":2296},[286],[236,2298,260],{"className":2299,"style":291},[286,290],[236,2301,2303],{"className":2302},[295],[236,2304,2306,2326],{"className":2305},[299,300],[236,2307,2309,2323],{"className":2308},[304],[236,2310,2312],{"className":2311,"style":672},[308],[236,2313,2314,2317],{"style":312},[236,2315],{"className":2316,"style":317},[316],[236,2318,2320],{"className":2319},[321,322,323,324],[236,2321,1261],{"className":2322,"style":1303},[286,290,324],[236,2324,333],{"className":2325},[332],[236,2327,2329],{"className":2328},[304],[236,2330,2332],{"className":2331,"style":340},[308],[236,2333],{},[236,2335,333],{"className":2336},[332],[236,2338,2340],{"className":2339},[304],[236,2341,2343],{"className":2342,"style":1090},[308],[236,2344],{},[236,2346],{"className":2347},[828,994],[236,2349],{"className":2350,"style":438},[437],[236,2352,2083],{"className":2353},[442],[236,2355],{"className":2356,"style":438},[437],[236,2358,2360,2364,2430,2433,2436,2439,2576,2579,2582],{"className":2359},[277],[236,2361],{"className":2362,"style":2363},[281],"height:2.2074em;vertical-align:-0.836em;",[236,2365,2367,2370,2427],{"className":2366},[286],[236,2368],{"className":2369},[732,994],[236,2371,2373],{"className":2372},[610],[236,2374,2376,2419],{"className":2375},[299,300],[236,2377,2379,2416],{"className":2378},[304],[236,2380,2383,2394,2402],{"className":2381,"style":2382},[308],"height:1.3714em;",[236,2384,2385,2388],{"style":1010},[236,2386],{"className":2387,"style":1014},[316],[236,2389,2391],{"className":2390},[286],[236,2392,2093],{"className":2393},[286],[236,2395,2396,2399],{"style":1023},[236,2397],{"className":2398,"style":1014},[316],[236,2400],{"className":2401,"style":1031},[1030],[236,2403,2404,2407],{"style":1034},[236,2405],{"className":2406,"style":1014},[316],[236,2408,2410,2413],{"className":2409},[286],[236,2411,570],{"className":2412,"style":835},[286,290],[236,2414,573],{"className":2415,"style":328},[286,290],[236,2417,333],{"className":2418},[332],[236,2420,2422],{"className":2421},[304],[236,2423,2425],{"className":2424,"style":1090},[308],[236,2426],{},[236,2428],{"className":2429},[828,994],[236,2431],{"className":2432,"style":980},[437],[236,2434,605],{"className":2435},[984],[236,2437],{"className":2438,"style":980},[437],[236,2440,2442,2445,2573],{"className":2441},[286],[236,2443],{"className":2444},[732,994],[236,2446,2448],{"className":2447},[610],[236,2449,2451,2564],{"className":2450},[299,300],[236,2452,2454,2561],{"className":2453},[304],[236,2455,2457,2505,2513],{"className":2456,"style":1007},[308],[236,2458,2459,2462],{"style":1010},[236,2460],{"className":2461,"style":1014},[316],[236,2463,2465],{"className":2464},[286],[236,2466,2468,2471],{"className":2467},[286],[236,2469,364],{"className":2470,"style":397},[286,290],[236,2472,2474],{"className":2473},[295],[236,2475,2477,2497],{"className":2476},[299,300],[236,2478,2480,2494],{"className":2479},[304],[236,2481,2483],{"className":2482,"style":672},[308],[236,2484,2485,2488],{"style":412},[236,2486],{"className":2487,"style":317},[316],[236,2489,2491],{"className":2490},[321,322,323,324],[236,2492,532],{"className":2493},[286,290,324],[236,2495,333],{"className":2496},[332],[236,2498,2500],{"className":2499},[304],[236,2501,2503],{"className":2502,"style":340},[308],[236,2504],{},[236,2506,2507,2510],{"style":1023},[236,2508],{"className":2509,"style":1014},[316],[236,2511],{"className":2512,"style":1031},[1030],[236,2514,2515,2518],{"style":1034},[236,2516],{"className":2517,"style":1014},[316],[236,2519,2521],{"className":2520},[286],[236,2522,2524,2527],{"className":2523},[286],[236,2525,364],{"className":2526,"style":397},[286,290],[236,2528,2530],{"className":2529},[295],[236,2531,2533,2553],{"className":2532},[299,300],[236,2534,2536,2550],{"className":2535},[304],[236,2537,2539],{"className":2538,"style":672},[308],[236,2540,2541,2544],{"style":412},[236,2542],{"className":2543,"style":317},[316],[236,2545,2547],{"className":2546},[321,322,323,324],[236,2548,1261],{"className":2549,"style":1303},[286,290,324],[236,2551,333],{"className":2552},[332],[236,2554,2556],{"className":2555},[304],[236,2557,2559],{"className":2558,"style":340},[308],[236,2560],{},[236,2562,333],{"className":2563},[332],[236,2565,2567],{"className":2566},[304],[236,2568,2571],{"className":2569,"style":2570},[308],"height:0.836em;",[236,2572],{},[236,2574],{"className":2575},[828,994],[236,2577],{"className":2578,"style":639},[437],[236,2580,2126],{"className":2581},[643],[236,2583],{"className":2584,"style":639},[437],[236,2586,2588,2591],{"className":2587},[277],[236,2589],{"className":2590,"style":282},[281],[236,2592,2594,2597],{"className":2593},[286],[236,2595,260],{"className":2596,"style":291},[286,290],[236,2598,2600],{"className":2599},[295],[236,2601,2603,2623],{"className":2602},[299,300],[236,2604,2606,2620],{"className":2605},[304],[236,2607,2609],{"className":2608,"style":1439},[308],[236,2610,2611,2614],{"style":312},[236,2612],{"className":2613,"style":317},[316],[236,2615,2617],{"className":2616},[321,322,323,324],[236,2618,1408],{"className":2619},[286,290,324],[236,2621,333],{"className":2622},[332],[236,2624,2626],{"className":2625},[304],[236,2627,2629],{"className":2628,"style":340},[308],[236,2630],{},[236,2632,2634],{"className":2633},[506],[236,2635,2637,2741],{"className":2636},[239],[236,2638,2640],{"className":2639},[243],[245,2641,2642],{"xmlns":247,"display":515},[249,2643,2644,2738],{},[252,2645,2646,2652,2654,2674,2676,2690,2692,2694,2715,2718],{},[255,2647,2648,2650],{},[258,2649,260],{},[258,2651,1408],{},[369,2653,525],{},[610,2655,2656,2672],{},[252,2657,2658,2664,2666],{},[255,2659,2660,2662],{},[258,2661,260],{},[258,2663,532],{},[369,2665,2083],{},[255,2667,2668,2670],{},[258,2669,260],{},[258,2671,1261],{},[2091,2673,2093],{},[369,2675,2083],{},[610,2677,2678,2687],{},[252,2679,2680,2683,2685],{},[2091,2681,2682],{},"3",[258,2684,570],{},[258,2686,573],{},[2091,2688,2689],{},"4",[258,2691,605],{},[369,2693,608],{},[610,2695,2696,2707],{},[2697,2698,2699,2702,2704],"msubsup",{},[258,2700,2701],{},"m",[258,2703,345],{},[369,2705,2706],{},"∗",[2697,2708,2709,2711,2713],{},[258,2710,2701],{},[258,2712,522],{},[369,2714,2706],{},[369,2716,2717],{},"≃",[610,2719,2720,2736],{},[252,2721,2722,2728,2730],{},[255,2723,2724,2726],{},[258,2725,260],{},[258,2727,532],{},[369,2729,2083],{},[255,2731,2732,2734],{},[258,2733,260],{},[258,2735,1261],{},[2091,2737,2093],{},[265,2739,2740],{"encoding":267},"E_i = \\frac{E_c + E_v}{2} + \\frac{3kT}{4} \\ln\\frac{m_p^*}{m_n^*} \\simeq \\frac{E_c + E_v}{2}",[236,2742,2744,2799,2962,3223],{"className":2743,"ariaHidden":273},[272],[236,2745,2747,2750,2790,2793,2796],{"className":2746},[277],[236,2748],{"className":2749,"style":282},[281],[236,2751,2753,2756],{"className":2752},[286],[236,2754,260],{"className":2755,"style":291},[286,290],[236,2757,2759],{"className":2758},[295],[236,2760,2762,2782],{"className":2761},[299,300],[236,2763,2765,2779],{"className":2764},[304],[236,2766,2768],{"className":2767,"style":1439},[308],[236,2769,2770,2773],{"style":312},[236,2771],{"className":2772,"style":317},[316],[236,2774,2776],{"className":2775},[321,322,323,324],[236,2777,1408],{"className":2778},[286,290,324],[236,2780,333],{"className":2781},[332],[236,2783,2785],{"className":2784},[304],[236,2786,2788],{"className":2787,"style":340},[308],[236,2789],{},[236,2791],{"className":2792,"style":639},[437],[236,2794,525],{"className":2795},[643],[236,2797],{"className":2798,"style":639},[437],[236,2800,2802,2805,2953,2956,2959],{"className":2801},[277],[236,2803],{"className":2804,"style":970},[281],[236,2806,2808,2811,2950],{"className":2807},[286],[236,2809],{"className":2810},[732,994],[236,2812,2814],{"className":2813},[610],[236,2815,2817,2942],{"className":2816},[299,300],[236,2818,2820,2939],{"className":2819},[304],[236,2821,2823,2834,2842],{"className":2822,"style":1007},[308],[236,2824,2825,2828],{"style":1010},[236,2826],{"className":2827,"style":1014},[316],[236,2829,2831],{"className":2830},[286],[236,2832,2093],{"className":2833},[286],[236,2835,2836,2839],{"style":1023},[236,2837],{"className":2838,"style":1014},[316],[236,2840],{"className":2841,"style":1031},[1030],[236,2843,2844,2847],{"style":1034},[236,2845],{"className":2846,"style":1014},[316],[236,2848,2850,2890,2893,2896,2899],{"className":2849},[286],[236,2851,2853,2856],{"className":2852},[286],[236,2854,260],{"className":2855,"style":291},[286,290],[236,2857,2859],{"className":2858},[295],[236,2860,2862,2882],{"className":2861},[299,300],[236,2863,2865,2879],{"className":2864},[304],[236,2866,2868],{"className":2867,"style":672},[308],[236,2869,2870,2873],{"style":312},[236,2871],{"className":2872,"style":317},[316],[236,2874,2876],{"className":2875},[321,322,323,324],[236,2877,532],{"className":2878},[286,290,324],[236,2880,333],{"className":2881},[332],[236,2883,2885],{"className":2884},[304],[236,2886,2888],{"className":2887,"style":340},[308],[236,2889],{},[236,2891],{"className":2892,"style":438},[437],[236,2894,2083],{"className":2895},[442],[236,2897],{"className":2898,"style":438},[437],[236,2900,2902,2905],{"className":2901},[286],[236,2903,260],{"className":2904,"style":291},[286,290],[236,2906,2908],{"className":2907},[295],[236,2909,2911,2931],{"className":2910},[299,300],[236,2912,2914,2928],{"className":2913},[304],[236,2915,2917],{"className":2916,"style":672},[308],[236,2918,2919,2922],{"style":312},[236,2920],{"className":2921,"style":317},[316],[236,2923,2925],{"className":2924},[321,322,323,324],[236,2926,1261],{"className":2927,"style":1303},[286,290,324],[236,2929,333],{"className":2930},[332],[236,2932,2934],{"className":2933},[304],[236,2935,2937],{"className":2936,"style":340},[308],[236,2938],{},[236,2940,333],{"className":2941},[332],[236,2943,2945],{"className":2944},[304],[236,2946,2948],{"className":2947,"style":1090},[308],[236,2949],{},[236,2951],{"className":2952},[828,994],[236,2954],{"className":2955,"style":438},[437],[236,2957,2083],{"className":2958},[442],[236,2960],{"className":2961,"style":438},[437],[236,2963,2965,2969,3037,3040,3043,3046,3214,3217,3220],{"className":2964},[277],[236,2966],{"className":2967,"style":2968},[281],"height:2.3948em;vertical-align:-0.933em;",[236,2970,2972,2975,3034],{"className":2971},[286],[236,2973],{"className":2974},[732,994],[236,2976,2978],{"className":2977},[610],[236,2979,2981,3026],{"className":2980},[299,300],[236,2982,2984,3023],{"className":2983},[304],[236,2985,2987,2998,3006],{"className":2986,"style":2382},[308],[236,2988,2989,2992],{"style":1010},[236,2990],{"className":2991,"style":1014},[316],[236,2993,2995],{"className":2994},[286],[236,2996,2689],{"className":2997},[286],[236,2999,3000,3003],{"style":1023},[236,3001],{"className":3002,"style":1014},[316],[236,3004],{"className":3005,"style":1031},[1030],[236,3007,3008,3011],{"style":1034},[236,3009],{"className":3010,"style":1014},[316],[236,3012,3014,3017,3020],{"className":3013},[286],[236,3015,2682],{"className":3016},[286],[236,3018,570],{"className":3019,"style":835},[286,290],[236,3021,573],{"className":3022,"style":328},[286,290],[236,3024,333],{"className":3025},[332],[236,3027,3029],{"className":3028},[304],[236,3030,3032],{"className":3031,"style":1090},[308],[236,3033],{},[236,3035],{"className":3036},[828,994],[236,3038],{"className":3039,"style":980},[437],[236,3041,605],{"className":3042},[984],[236,3044],{"className":3045,"style":980},[437],[236,3047,3049,3052,3211],{"className":3048},[286],[236,3050],{"className":3051},[732,994],[236,3053,3055],{"className":3054},[610],[236,3056,3058,3202],{"className":3057},[299,300],[236,3059,3061,3199],{"className":3060},[304],[236,3062,3065,3128,3136],{"className":3063,"style":3064},[308],"height:1.4618em;",[236,3066,3067,3070],{"style":1010},[236,3068],{"className":3069,"style":1014},[316],[236,3071,3073],{"className":3072},[286],[236,3074,3076,3079],{"className":3075},[286],[236,3077,2701],{"className":3078},[286,290],[236,3080,3082],{"className":3081},[295],[236,3083,3085,3119],{"className":3084},[299,300],[236,3086,3088,3116],{"className":3087},[304],[236,3089,3092,3104],{"className":3090,"style":3091},[308],"height:0.6147em;",[236,3093,3095,3098],{"style":3094},"top:-2.453em;margin-left:0em;margin-right:0.05em;",[236,3096],{"className":3097,"style":317},[316],[236,3099,3101],{"className":3100},[321,322,323,324],[236,3102,522],{"className":3103},[286,290,324],[236,3105,3107,3110],{"style":3106},"top:-2.989em;margin-right:0.05em;",[236,3108],{"className":3109,"style":317},[316],[236,3111,3113],{"className":3112},[321,322,323,324],[236,3114,2706],{"className":3115},[442,324],[236,3117,333],{"className":3118},[332],[236,3120,3122],{"className":3121},[304],[236,3123,3126],{"className":3124,"style":3125},[308],"height:0.247em;",[236,3127],{},[236,3129,3130,3133],{"style":1023},[236,3131],{"className":3132,"style":1014},[316],[236,3134],{"className":3135,"style":1031},[1030],[236,3137,3139,3142],{"style":3138},"top:-3.7731em;",[236,3140],{"className":3141,"style":1014},[316],[236,3143,3145],{"className":3144},[286],[236,3146,3148,3151],{"className":3147},[286],[236,3149,2701],{"className":3150},[286,290],[236,3152,3154],{"className":3153},[295],[236,3155,3157,3190],{"className":3156},[299,300],[236,3158,3160,3187],{"className":3159},[304],[236,3161,3164,3175],{"className":3162,"style":3163},[308],"height:0.6887em;",[236,3165,3166,3169],{"style":3094},[236,3167],{"className":3168,"style":317},[316],[236,3170,3172],{"className":3171},[321,322,323,324],[236,3173,345],{"className":3174},[286,290,324],[236,3176,3178,3181],{"style":3177},"top:-3.063em;margin-right:0.05em;",[236,3179],{"className":3180,"style":317},[316],[236,3182,3184],{"className":3183},[321,322,323,324],[236,3185,2706],{"className":3186},[442,324],[236,3188,333],{"className":3189},[332],[236,3191,3193],{"className":3192},[304],[236,3194,3197],{"className":3195,"style":3196},[308],"height:0.3831em;",[236,3198],{},[236,3200,333],{"className":3201},[332],[236,3203,3205],{"className":3204},[304],[236,3206,3209],{"className":3207,"style":3208},[308],"height:0.933em;",[236,3210],{},[236,3212],{"className":3213},[828,994],[236,3215],{"className":3216,"style":639},[437],[236,3218,2717],{"className":3219},[643],[236,3221],{"className":3222,"style":639},[437],[236,3224,3226,3229],{"className":3225},[277],[236,3227],{"className":3228,"style":970},[281],[236,3230,3232,3235,3374],{"className":3231},[286],[236,3233],{"className":3234},[732,994],[236,3236,3238],{"className":3237},[610],[236,3239,3241,3366],{"className":3240},[299,300],[236,3242,3244,3363],{"className":3243},[304],[236,3245,3247,3258,3266],{"className":3246,"style":1007},[308],[236,3248,3249,3252],{"style":1010},[236,3250],{"className":3251,"style":1014},[316],[236,3253,3255],{"className":3254},[286],[236,3256,2093],{"className":3257},[286],[236,3259,3260,3263],{"style":1023},[236,3261],{"className":3262,"style":1014},[316],[236,3264],{"className":3265,"style":1031},[1030],[236,3267,3268,3271],{"style":1034},[236,3269],{"className":3270,"style":1014},[316],[236,3272,3274,3314,3317,3320,3323],{"className":3273},[286],[236,3275,3277,3280],{"className":3276},[286],[236,3278,260],{"className":3279,"style":291},[286,290],[236,3281,3283],{"className":3282},[295],[236,3284,3286,3306],{"className":3285},[299,300],[236,3287,3289,3303],{"className":3288},[304],[236,3290,3292],{"className":3291,"style":672},[308],[236,3293,3294,3297],{"style":312},[236,3295],{"className":3296,"style":317},[316],[236,3298,3300],{"className":3299},[321,322,323,324],[236,3301,532],{"className":3302},[286,290,324],[236,3304,333],{"className":3305},[332],[236,3307,3309],{"className":3308},[304],[236,3310,3312],{"className":3311,"style":340},[308],[236,3313],{},[236,3315],{"className":3316,"style":438},[437],[236,3318,2083],{"className":3319},[442],[236,3321],{"className":3322,"style":438},[437],[236,3324,3326,3329],{"className":3325},[286],[236,3327,260],{"className":3328,"style":291},[286,290],[236,3330,3332],{"className":3331},[295],[236,3333,3335,3355],{"className":3334},[299,300],[236,3336,3338,3352],{"className":3337},[304],[236,3339,3341],{"className":3340,"style":672},[308],[236,3342,3343,3346],{"style":312},[236,3344],{"className":3345,"style":317},[316],[236,3347,3349],{"className":3348},[321,322,323,324],[236,3350,1261],{"className":3351,"style":1303},[286,290,324],[236,3353,333],{"className":3354},[332],[236,3356,3358],{"className":3357},[304],[236,3359,3361],{"className":3360,"style":340},[308],[236,3362],{},[236,3364,333],{"className":3365},[332],[236,3367,3369],{"className":3368},[304],[236,3370,3372],{"className":3371,"style":1090},[308],[236,3373],{},[236,3375],{"className":3376},[828,994],[345,3378,3379,3380,3639],{},"这个只要记住 ",[236,3381,3383,3427],{"className":3382},[239],[236,3384,3386],{"className":3385},[243],[245,3387,3388],{"xmlns":247},[249,3389,3390,3424],{},[252,3391,3392,3398,3400],{},[255,3393,3394,3396],{},[258,3395,260],{},[258,3397,1408],{},[369,3399,525],{},[3401,3402,3404],"mstyle",{"scriptlevel":3403,"displaystyle":273},"0",[610,3405,3406,3422],{},[252,3407,3408,3414,3416],{},[255,3409,3410,3412],{},[258,3411,260],{},[258,3413,532],{},[369,3415,2083],{},[255,3417,3418,3420],{},[258,3419,260],{},[258,3421,1261],{},[2091,3423,2093],{},[265,3425,3426],{"encoding":267},"E_i = \\dfrac{E_c + E_v}{2}",[236,3428,3430,3485],{"className":3429,"ariaHidden":273},[272],[236,3431,3433,3436,3476,3479,3482],{"className":3432},[277],[236,3434],{"className":3435,"style":282},[281],[236,3437,3439,3442],{"className":3438},[286],[236,3440,260],{"className":3441,"style":291},[286,290],[236,3443,3445],{"className":3444},[295],[236,3446,3448,3468],{"className":3447},[299,300],[236,3449,3451,3465],{"className":3450},[304],[236,3452,3454],{"className":3453,"style":1439},[308],[236,3455,3456,3459],{"style":312},[236,3457],{"className":3458,"style":317},[316],[236,3460,3462],{"className":3461},[321,322,323,324],[236,3463,1408],{"className":3464},[286,290,324],[236,3466,333],{"className":3467},[332],[236,3469,3471],{"className":3470},[304],[236,3472,3474],{"className":3473,"style":340},[308],[236,3475],{},[236,3477],{"className":3478,"style":639},[437],[236,3480,525],{"className":3481},[643],[236,3483],{"className":3484,"style":639},[437],[236,3486,3488,3491],{"className":3487},[277],[236,3489],{"className":3490,"style":970},[281],[236,3492,3494,3497,3636],{"className":3493},[286],[236,3495],{"className":3496},[732,994],[236,3498,3500],{"className":3499},[610],[236,3501,3503,3628],{"className":3502},[299,300],[236,3504,3506,3625],{"className":3505},[304],[236,3507,3509,3520,3528],{"className":3508,"style":1007},[308],[236,3510,3511,3514],{"style":1010},[236,3512],{"className":3513,"style":1014},[316],[236,3515,3517],{"className":3516},[286],[236,3518,2093],{"className":3519},[286],[236,3521,3522,3525],{"style":1023},[236,3523],{"className":3524,"style":1014},[316],[236,3526],{"className":3527,"style":1031},[1030],[236,3529,3530,3533],{"style":1034},[236,3531],{"className":3532,"style":1014},[316],[236,3534,3536,3576,3579,3582,3585],{"className":3535},[286],[236,3537,3539,3542],{"className":3538},[286],[236,3540,260],{"className":3541,"style":291},[286,290],[236,3543,3545],{"className":3544},[295],[236,3546,3548,3568],{"className":3547},[299,300],[236,3549,3551,3565],{"className":3550},[304],[236,3552,3554],{"className":3553,"style":672},[308],[236,3555,3556,3559],{"style":312},[236,3557],{"className":3558,"style":317},[316],[236,3560,3562],{"className":3561},[321,322,323,324],[236,3563,532],{"className":3564},[286,290,324],[236,3566,333],{"className":3567},[332],[236,3569,3571],{"className":3570},[304],[236,3572,3574],{"className":3573,"style":340},[308],[236,3575],{},[236,3577],{"className":3578,"style":438},[437],[236,3580,2083],{"className":3581},[442],[236,3583],{"className":3584,"style":438},[437],[236,3586,3588,3591],{"className":3587},[286],[236,3589,260],{"className":3590,"style":291},[286,290],[236,3592,3594],{"className":3593},[295],[236,3595,3597,3617],{"className":3596},[299,300],[236,3598,3600,3614],{"className":3599},[304],[236,3601,3603],{"className":3602,"style":672},[308],[236,3604,3605,3608],{"style":312},[236,3606],{"className":3607,"style":317},[316],[236,3609,3611],{"className":3610},[321,322,323,324],[236,3612,1261],{"className":3613,"style":1303},[286,290,324],[236,3615,333],{"className":3616},[332],[236,3618,3620],{"className":3619},[304],[236,3621,3623],{"className":3622,"style":340},[308],[236,3624],{},[236,3626,333],{"className":3627},[332],[236,3629,3631],{"className":3630},[304],[236,3632,3634],{"className":3633,"style":1090},[308],[236,3635],{},[236,3637],{"className":3638},[828,994]," 应该就 OK 了。",[231,3641,3643,3786,3787,3926,3927,3998,3999,4068],{"id":3642},"nnieinn_i-e_inniei-and-pnieipn_i-e_ipniei-用-nin_inieie_iei-表示载流子浓度",[236,3644,3646,3679],{"className":3645},[239],[236,3647,3649],{"className":3648},[243],[245,3650,3651],{"xmlns":247},[249,3652,3653,3676],{},[252,3654,3655,3657,3659,3665,3668,3674],{},[258,3656,522],{},[369,3658,546],{"stretchy":545},[255,3660,3661,3663],{},[258,3662,522],{},[258,3664,1408],{},[369,3666,3667],{"separator":273},",",[255,3669,3670,3672],{},[258,3671,260],{},[258,3673,1408],{},[369,3675,563],{"stretchy":545},[265,3677,3678],{"encoding":267},"n(n_i, E_i)",[236,3680,3682],{"className":3681,"ariaHidden":273},[272],[236,3683,3685,3689,3692,3695,3736,3740,3743,3783],{"className":3684},[277],[236,3686],{"className":3687,"style":3688},[281],"height:1em;vertical-align:-0.25em;",[236,3690,522],{"className":3691},[286,290],[236,3693,546],{"className":3694},[732],[236,3696,3698,3701],{"className":3697},[286],[236,3699,522],{"className":3700},[286,290],[236,3702,3704],{"className":3703},[295],[236,3705,3707,3728],{"className":3706},[299,300],[236,3708,3710,3725],{"className":3709},[304],[236,3711,3713],{"className":3712,"style":1439},[308],[236,3714,3716,3719],{"style":3715},"top:-2.55em;margin-left:0em;margin-right:0.05em;",[236,3717],{"className":3718,"style":317},[316],[236,3720,3722],{"className":3721},[321,322,323,324],[236,3723,1408],{"className":3724},[286,290,324],[236,3726,333],{"className":3727},[332],[236,3729,3731],{"className":3730},[304],[236,3732,3734],{"className":3733,"style":340},[308],[236,3735],{},[236,3737,3667],{"className":3738},[3739],"mpunct",[236,3741],{"className":3742,"style":980},[437],[236,3744,3746,3749],{"className":3745},[286],[236,3747,260],{"className":3748,"style":291},[286,290],[236,3750,3752],{"className":3751},[295],[236,3753,3755,3775],{"className":3754},[299,300],[236,3756,3758,3772],{"className":3757},[304],[236,3759,3761],{"className":3760,"style":1439},[308],[236,3762,3763,3766],{"style":312},[236,3764],{"className":3765,"style":317},[316],[236,3767,3769],{"className":3768},[321,322,323,324],[236,3770,1408],{"className":3771},[286,290,324],[236,3773,333],{"className":3774},[332],[236,3776,3778],{"className":3777},[304],[236,3779,3781],{"className":3780,"style":340},[308],[236,3782],{},[236,3784,563],{"className":3785},[828]," and ",[236,3788,3790,3822],{"className":3789},[239],[236,3791,3793],{"className":3792},[243],[245,3794,3795],{"xmlns":247},[249,3796,3797,3819],{},[252,3798,3799,3801,3803,3809,3811,3817],{},[258,3800,345],{},[369,3802,546],{"stretchy":545},[255,3804,3805,3807],{},[258,3806,522],{},[258,3808,1408],{},[369,3810,3667],{"separator":273},[255,3812,3813,3815],{},[258,3814,260],{},[258,3816,1408],{},[369,3818,563],{"stretchy":545},[265,3820,3821],{"encoding":267},"p(n_i, E_i)",[236,3823,3825],{"className":3824,"ariaHidden":273},[272],[236,3826,3828,3831,3834,3837,3877,3880,3883,3923],{"className":3827},[277],[236,3829],{"className":3830,"style":3688},[281],[236,3832,345],{"className":3833},[286,290],[236,3835,546],{"className":3836},[732],[236,3838,3840,3843],{"className":3839},[286],[236,3841,522],{"className":3842},[286,290],[236,3844,3846],{"className":3845},[295],[236,3847,3849,3869],{"className":3848},[299,300],[236,3850,3852,3866],{"className":3851},[304],[236,3853,3855],{"className":3854,"style":1439},[308],[236,3856,3857,3860],{"style":3715},[236,3858],{"className":3859,"style":317},[316],[236,3861,3863],{"className":3862},[321,322,323,324],[236,3864,1408],{"className":3865},[286,290,324],[236,3867,333],{"className":3868},[332],[236,3870,3872],{"className":3871},[304],[236,3873,3875],{"className":3874,"style":340},[308],[236,3876],{},[236,3878,3667],{"className":3879},[3739],[236,3881],{"className":3882,"style":980},[437],[236,3884,3886,3889],{"className":3885},[286],[236,3887,260],{"className":3888,"style":291},[286,290],[236,3890,3892],{"className":3891},[295],[236,3893,3895,3915],{"className":3894},[299,300],[236,3896,3898,3912],{"className":3897},[304],[236,3899,3901],{"className":3900,"style":1439},[308],[236,3902,3903,3906],{"style":312},[236,3904],{"className":3905,"style":317},[316],[236,3907,3909],{"className":3908},[321,322,323,324],[236,3910,1408],{"className":3911},[286,290,324],[236,3913,333],{"className":3914},[332],[236,3916,3918],{"className":3917},[304],[236,3919,3921],{"className":3920,"style":340},[308],[236,3922],{},[236,3924,563],{"className":3925},[828]," ｜ 用 ",[236,3928,3930,3948],{"className":3929},[239],[236,3931,3933],{"className":3932},[243],[245,3934,3935],{"xmlns":247},[249,3936,3937,3945],{},[252,3938,3939],{},[255,3940,3941,3943],{},[258,3942,522],{},[258,3944,1408],{},[265,3946,3947],{"encoding":267},"n_i",[236,3949,3951],{"className":3950,"ariaHidden":273},[272],[236,3952,3954,3958],{"className":3953},[277],[236,3955],{"className":3956,"style":3957},[281],"height:0.5806em;vertical-align:-0.15em;",[236,3959,3961,3964],{"className":3960},[286],[236,3962,522],{"className":3963},[286,290],[236,3965,3967],{"className":3966},[295],[236,3968,3970,3990],{"className":3969},[299,300],[236,3971,3973,3987],{"className":3972},[304],[236,3974,3976],{"className":3975,"style":1439},[308],[236,3977,3978,3981],{"style":3715},[236,3979],{"className":3980,"style":317},[316],[236,3982,3984],{"className":3983},[321,322,323,324],[236,3985,1408],{"className":3986},[286,290,324],[236,3988,333],{"className":3989},[332],[236,3991,3993],{"className":3992},[304],[236,3994,3996],{"className":3995,"style":340},[308],[236,3997],{},"、",[236,4000,4002,4019],{"className":4001},[239],[236,4003,4005],{"className":4004},[243],[245,4006,4007],{"xmlns":247},[249,4008,4009,4017],{},[252,4010,4011],{},[255,4012,4013,4015],{},[258,4014,260],{},[258,4016,1408],{},[265,4018,1411],{"encoding":267},[236,4020,4022],{"className":4021,"ariaHidden":273},[272],[236,4023,4025,4028],{"className":4024},[277],[236,4026],{"className":4027,"style":282},[281],[236,4029,4031,4034],{"className":4030},[286],[236,4032,260],{"className":4033,"style":291},[286,290],[236,4035,4037],{"className":4036},[295],[236,4038,4040,4060],{"className":4039},[299,300],[236,4041,4043,4057],{"className":4042},[304],[236,4044,4046],{"className":4045,"style":1439},[308],[236,4047,4048,4051],{"style":312},[236,4049],{"className":4050,"style":317},[316],[236,4052,4054],{"className":4053},[321,322,323,324],[236,4055,1408],{"className":4056},[286,290,324],[236,4058,333],{"className":4059},[332],[236,4061,4063],{"className":4062},[304],[236,4064,4066],{"className":4065,"style":340},[308],[236,4067],{}," 表示载流子浓度",[345,4070,4071,4072,4076,4077,3786,4191,1587],{},"In an ",[4073,4074,4075],"strong",{},"intrinsic semiconductor",", ",[236,4078,4080,4106],{"className":4079},[239],[236,4081,4083],{"className":4082},[243],[245,4084,4085],{"xmlns":247},[249,4086,4087,4103],{},[252,4088,4089,4091,4093,4095,4097],{},[258,4090,522],{},[369,4092,525],{},[258,4094,345],{},[369,4096,525],{},[255,4098,4099,4101],{},[258,4100,522],{},[258,4102,1408],{},[265,4104,4105],{"encoding":267},"n = p = n_i",[236,4107,4109,4127,4145],{"className":4108,"ariaHidden":273},[272],[236,4110,4112,4115,4118,4121,4124],{"className":4111},[277],[236,4113],{"className":4114,"style":632},[281],[236,4116,522],{"className":4117},[286,290],[236,4119],{"className":4120,"style":639},[437],[236,4122,525],{"className":4123},[643],[236,4125],{"className":4126,"style":639},[437],[236,4128,4130,4133,4136,4139,4142],{"className":4129},[277],[236,4131],{"className":4132,"style":1583},[281],[236,4134,345],{"className":4135},[286,290],[236,4137],{"className":4138,"style":639},[437],[236,4140,525],{"className":4141},[643],[236,4143],{"className":4144,"style":639},[437],[236,4146,4148,4151],{"className":4147},[277],[236,4149],{"className":4150,"style":3957},[281],[236,4152,4154,4157],{"className":4153},[286],[236,4155,522],{"className":4156},[286,290],[236,4158,4160],{"className":4159},[295],[236,4161,4163,4183],{"className":4162},[299,300],[236,4164,4166,4180],{"className":4165},[304],[236,4167,4169],{"className":4168,"style":1439},[308],[236,4170,4171,4174],{"style":3715},[236,4172],{"className":4173,"style":317},[316],[236,4175,4177],{"className":4176},[321,322,323,324],[236,4178,1408],{"className":4179},[286,290,324],[236,4181,333],{"className":4182},[332],[236,4184,4186],{"className":4185},[304],[236,4187,4189],{"className":4188,"style":340},[308],[236,4190],{},[236,4192,4194,4220],{"className":4193},[239],[236,4195,4197],{"className":4196},[243],[245,4198,4199],{"xmlns":247},[249,4200,4201,4217],{},[252,4202,4203,4209,4211],{},[255,4204,4205,4207],{},[258,4206,260],{},[258,4208,263],{},[369,4210,525],{},[255,4212,4213,4215],{},[258,4214,260],{},[258,4216,1408],{},[265,4218,4219],{"encoding":267},"E_F = E_i",[236,4221,4223,4278],{"className":4222,"ariaHidden":273},[272],[236,4224,4226,4229,4269,4272,4275],{"className":4225},[277],[236,4227],{"className":4228,"style":282},[281],[236,4230,4232,4235],{"className":4231},[286],[236,4233,260],{"className":4234,"style":291},[286,290],[236,4236,4238],{"className":4237},[295],[236,4239,4241,4261],{"className":4240},[299,300],[236,4242,4244,4258],{"className":4243},[304],[236,4245,4247],{"className":4246,"style":309},[308],[236,4248,4249,4252],{"style":312},[236,4250],{"className":4251,"style":317},[316],[236,4253,4255],{"className":4254},[321,322,323,324],[236,4256,263],{"className":4257,"style":328},[286,290,324],[236,4259,333],{"className":4260},[332],[236,4262,4264],{"className":4263},[304],[236,4265,4267],{"className":4266,"style":340},[308],[236,4268],{},[236,4270],{"className":4271,"style":639},[437],[236,4273,525],{"className":4274},[643],[236,4276],{"className":4277,"style":639},[437],[236,4279,4281,4284],{"className":4280},[277],[236,4282],{"className":4283,"style":282},[281],[236,4285,4287,4290],{"className":4286},[286],[236,4288,260],{"className":4289,"style":291},[286,290],[236,4291,4293],{"className":4292},[295],[236,4294,4296,4316],{"className":4295},[299,300],[236,4297,4299,4313],{"className":4298},[304],[236,4300,4302],{"className":4301,"style":1439},[308],[236,4303,4304,4307],{"style":312},[236,4305],{"className":4306,"style":317},[316],[236,4308,4310],{"className":4309},[321,322,323,324],[236,4311,1408],{"className":4312},[286,290,324],[236,4314,333],{"className":4315},[332],[236,4317,4319],{"className":4318},[304],[236,4320,4322],{"className":4321,"style":340},[308],[236,4323],{},[236,4325,4327],{"className":4326},[506],[236,4328,4330,4442],{"className":4329},[239],[236,4331,4333],{"className":4332},[243],[245,4334,4335],{"xmlns":247,"display":515},[249,4336,4337,4439],{},[252,4338,4339,4341,4343,4349,4351,4357,4389,4391,4393,4395,4401,4403,4409],{},[258,4340,522],{},[369,4342,525],{},[255,4344,4345,4347],{},[258,4346,522],{},[258,4348,1408],{},[369,4350,525],{},[255,4352,4353,4355],{},[258,4354,364],{},[258,4356,532],{},[534,4358,4359,4361],{},[258,4360,538],{},[252,4362,4363,4365,4367,4373,4375,4381,4383,4385,4387],{},[369,4364,371],{},[369,4366,546],{"stretchy":545},[255,4368,4369,4371],{},[258,4370,260],{},[258,4372,532],{},[369,4374,371],{},[255,4376,4377,4379],{},[258,4378,260],{},[258,4380,1408],{},[369,4382,563],{"stretchy":545},[258,4384,567],{"mathvariant":566},[258,4386,570],{},[258,4388,573],{},[575,4390,577],{},[369,4392,580],{},[575,4394,577],{},[255,4396,4397,4399],{},[258,4398,364],{},[258,4400,532],{},[369,4402,525],{},[255,4404,4405,4407],{},[258,4406,522],{},[258,4408,1408],{},[534,4410,4411,4413],{},[258,4412,538],{},[252,4414,4415,4417,4423,4425,4431,4433,4435,4437],{},[369,4416,546],{"stretchy":545},[255,4418,4419,4421],{},[258,4420,260],{},[258,4422,532],{},[369,4424,371],{},[255,4426,4427,4429],{},[258,4428,260],{},[258,4430,1408],{},[369,4432,563],{"stretchy":545},[258,4434,567],{"mathvariant":566},[258,4436,570],{},[258,4438,573],{},[265,4440,4441],{"encoding":267},"n = n_i = N_c e^{-(E_c - E_i)\u002FkT} \\;\\Rightarrow\\; N_c = n_i e^{(E_c - E_i)\u002FkT}",[236,4443,4445,4463,4518,4710,4765],{"className":4444,"ariaHidden":273},[272],[236,4446,4448,4451,4454,4457,4460],{"className":4447},[277],[236,4449],{"className":4450,"style":632},[281],[236,4452,522],{"className":4453},[286,290],[236,4455],{"className":4456,"style":639},[437],[236,4458,525],{"className":4459},[643],[236,4461],{"className":4462,"style":639},[437],[236,4464,4466,4469,4509,4512,4515],{"className":4465},[277],[236,4467],{"className":4468,"style":3957},[281],[236,4470,4472,4475],{"className":4471},[286],[236,4473,522],{"className":4474},[286,290],[236,4476,4478],{"className":4477},[295],[236,4479,4481,4501],{"className":4480},[299,300],[236,4482,4484,4498],{"className":4483},[304],[236,4485,4487],{"className":4486,"style":1439},[308],[236,4488,4489,4492],{"style":3715},[236,4490],{"className":4491,"style":317},[316],[236,4493,4495],{"className":4494},[321,322,323,324],[236,4496,1408],{"className":4497},[286,290,324],[236,4499,333],{"className":4500},[332],[236,4502,4504],{"className":4503},[304],[236,4505,4507],{"className":4506,"style":340},[308],[236,4508],{},[236,4510],{"className":4511,"style":639},[437],[236,4513,525],{"className":4514},[643],[236,4516],{"className":4517,"style":639},[437],[236,4519,4521,4524,4564,4695,4698,4701,4704,4707],{"className":4520},[277],[236,4522],{"className":4523,"style":653},[281],[236,4525,4527,4530],{"className":4526},[286],[236,4528,364],{"className":4529,"style":397},[286,290],[236,4531,4533],{"className":4532},[295],[236,4534,4536,4556],{"className":4535},[299,300],[236,4537,4539,4553],{"className":4538},[304],[236,4540,4542],{"className":4541,"style":672},[308],[236,4543,4544,4547],{"style":412},[236,4545],{"className":4546,"style":317},[316],[236,4548,4550],{"className":4549},[321,322,323,324],[236,4551,532],{"className":4552},[286,290,324],[236,4554,333],{"className":4555},[332],[236,4557,4559],{"className":4558},[304],[236,4560,4562],{"className":4561,"style":340},[308],[236,4563],{},[236,4565,4567,4570],{"className":4566},[286],[236,4568,538],{"className":4569},[286,290],[236,4571,4573],{"className":4572},[295],[236,4574,4576],{"className":4575},[299],[236,4577,4579],{"className":4578},[304],[236,4580,4582],{"className":4581,"style":713},[308],[236,4583,4584,4587],{"style":716},[236,4585],{"className":4586,"style":317},[316],[236,4588,4590],{"className":4589},[321,322,323,324],[236,4591,4593,4596,4599,4639,4642,4683,4686,4689,4692],{"className":4592},[286,324],[236,4594,371],{"className":4595},[286,324],[236,4597,546],{"className":4598},[732,324],[236,4600,4602,4605],{"className":4601},[286,324],[236,4603,260],{"className":4604,"style":291},[286,290,324],[236,4606,4608],{"className":4607},[295],[236,4609,4611,4631],{"className":4610},[299,300],[236,4612,4614,4628],{"className":4613},[304],[236,4615,4617],{"className":4616,"style":751},[308],[236,4618,4619,4622],{"style":754},[236,4620],{"className":4621,"style":758},[316],[236,4623,4625],{"className":4624},[321,762,763,324],[236,4626,532],{"className":4627},[286,290,324],[236,4629,333],{"className":4630},[332],[236,4632,4634],{"className":4633},[304],[236,4635,4637],{"className":4636,"style":776},[308],[236,4638],{},[236,4640,371],{"className":4641},[442,324],[236,4643,4645,4648],{"className":4644},[286,324],[236,4646,260],{"className":4647,"style":291},[286,290,324],[236,4649,4651],{"className":4650},[295],[236,4652,4654,4675],{"className":4653},[299,300],[236,4655,4657,4672],{"className":4656},[304],[236,4658,4661],{"className":4659,"style":4660},[308],"height:0.3281em;",[236,4662,4663,4666],{"style":754},[236,4664],{"className":4665,"style":758},[316],[236,4667,4669],{"className":4668},[321,762,763,324],[236,4670,1408],{"className":4671},[286,290,324],[236,4673,333],{"className":4674},[332],[236,4676,4678],{"className":4677},[304],[236,4679,4681],{"className":4680,"style":776},[308],[236,4682],{},[236,4684,563],{"className":4685},[828,324],[236,4687,567],{"className":4688},[286,324],[236,4690,570],{"className":4691,"style":835},[286,290,324],[236,4693,573],{"className":4694,"style":328},[286,290,324],[236,4696],{"className":4697,"style":639},[437],[236,4699],{"className":4700,"style":639},[437],[236,4702,580],{"className":4703},[643],[236,4705],{"className":4706,"style":639},[437],[236,4708],{"className":4709,"style":639},[437],[236,4711,4713,4716,4756,4759,4762],{"className":4712},[277],[236,4714],{"className":4715,"style":282},[281],[236,4717,4719,4722],{"className":4718},[286],[236,4720,364],{"className":4721,"style":397},[286,290],[236,4723,4725],{"className":4724},[295],[236,4726,4728,4748],{"className":4727},[299,300],[236,4729,4731,4745],{"className":4730},[304],[236,4732,4734],{"className":4733,"style":672},[308],[236,4735,4736,4739],{"style":412},[236,4737],{"className":4738,"style":317},[316],[236,4740,4742],{"className":4741},[321,322,323,324],[236,4743,532],{"className":4744},[286,290,324],[236,4746,333],{"className":4747},[332],[236,4749,4751],{"className":4750},[304],[236,4752,4754],{"className":4753,"style":340},[308],[236,4755],{},[236,4757],{"className":4758,"style":639},[437],[236,4760,525],{"className":4761},[643],[236,4763],{"className":4764,"style":639},[437],[236,4766,4768,4771,4811],{"className":4767},[277],[236,4769],{"className":4770,"style":653},[281],[236,4772,4774,4777],{"className":4773},[286],[236,4775,522],{"className":4776},[286,290],[236,4778,4780],{"className":4779},[295],[236,4781,4783,4803],{"className":4782},[299,300],[236,4784,4786,4800],{"className":4785},[304],[236,4787,4789],{"className":4788,"style":1439},[308],[236,4790,4791,4794],{"style":3715},[236,4792],{"className":4793,"style":317},[316],[236,4795,4797],{"className":4796},[321,322,323,324],[236,4798,1408],{"className":4799},[286,290,324],[236,4801,333],{"className":4802},[332],[236,4804,4806],{"className":4805},[304],[236,4807,4809],{"className":4808,"style":340},[308],[236,4810],{},[236,4812,4814,4817],{"className":4813},[286],[236,4815,538],{"className":4816},[286,290],[236,4818,4820],{"className":4819},[295],[236,4821,4823],{"className":4822},[299],[236,4824,4826],{"className":4825},[304],[236,4827,4829],{"className":4828,"style":713},[308],[236,4830,4831,4834],{"style":716},[236,4832],{"className":4833,"style":317},[316],[236,4835,4837],{"className":4836},[321,322,323,324],[236,4838,4840,4843,4883,4886,4926,4929,4932,4935],{"className":4839},[286,324],[236,4841,546],{"className":4842},[732,324],[236,4844,4846,4849],{"className":4845},[286,324],[236,4847,260],{"className":4848,"style":291},[286,290,324],[236,4850,4852],{"className":4851},[295],[236,4853,4855,4875],{"className":4854},[299,300],[236,4856,4858,4872],{"className":4857},[304],[236,4859,4861],{"className":4860,"style":751},[308],[236,4862,4863,4866],{"style":754},[236,4864],{"className":4865,"style":758},[316],[236,4867,4869],{"className":4868},[321,762,763,324],[236,4870,532],{"className":4871},[286,290,324],[236,4873,333],{"className":4874},[332],[236,4876,4878],{"className":4877},[304],[236,4879,4881],{"className":4880,"style":776},[308],[236,4882],{},[236,4884,371],{"className":4885},[442,324],[236,4887,4889,4892],{"className":4888},[286,324],[236,4890,260],{"className":4891,"style":291},[286,290,324],[236,4893,4895],{"className":4894},[295],[236,4896,4898,4918],{"className":4897},[299,300],[236,4899,4901,4915],{"className":4900},[304],[236,4902,4904],{"className":4903,"style":4660},[308],[236,4905,4906,4909],{"style":754},[236,4907],{"className":4908,"style":758},[316],[236,4910,4912],{"className":4911},[321,762,763,324],[236,4913,1408],{"className":4914},[286,290,324],[236,4916,333],{"className":4917},[332],[236,4919,4921],{"className":4920},[304],[236,4922,4924],{"className":4923,"style":776},[308],[236,4925],{},[236,4927,563],{"className":4928},[828,324],[236,4930,567],{"className":4931},[286,324],[236,4933,570],{"className":4934,"style":835},[286,290,324],[236,4936,573],{"className":4937,"style":328},[286,290,324],[236,4939,4941],{"className":4940},[506],[236,4942,4944,5056],{"className":4943},[239],[236,4945,4947],{"className":4946},[243],[245,4948,4949],{"xmlns":247,"display":515},[249,4950,4951,5053],{},[252,4952,4953,4955,4957,4963,4965,4971,5003,5005,5007,5009,5015,5017,5023],{},[258,4954,345],{},[369,4956,525],{},[255,4958,4959,4961],{},[258,4960,522],{},[258,4962,1408],{},[369,4964,525],{},[255,4966,4967,4969],{},[258,4968,364],{},[258,4970,1261],{},[534,4972,4973,4975],{},[258,4974,538],{},[252,4976,4977,4979,4981,4987,4989,4995,4997,4999,5001],{},[369,4978,371],{},[369,4980,546],{"stretchy":545},[255,4982,4983,4985],{},[258,4984,260],{},[258,4986,1408],{},[369,4988,371],{},[255,4990,4991,4993],{},[258,4992,260],{},[258,4994,1261],{},[369,4996,563],{"stretchy":545},[258,4998,567],{"mathvariant":566},[258,5000,570],{},[258,5002,573],{},[575,5004,577],{},[369,5006,580],{},[575,5008,577],{},[255,5010,5011,5013],{},[258,5012,364],{},[258,5014,1261],{},[369,5016,525],{},[255,5018,5019,5021],{},[258,5020,522],{},[258,5022,1408],{},[534,5024,5025,5027],{},[258,5026,538],{},[252,5028,5029,5031,5037,5039,5045,5047,5049,5051],{},[369,5030,546],{"stretchy":545},[255,5032,5033,5035],{},[258,5034,260],{},[258,5036,1408],{},[369,5038,371],{},[255,5040,5041,5043],{},[258,5042,260],{},[258,5044,1261],{},[369,5046,563],{"stretchy":545},[258,5048,567],{"mathvariant":566},[258,5050,570],{},[258,5052,573],{},[265,5054,5055],{"encoding":267},"p = n_i = N_v e^{-(E_i - E_v)\u002FkT} \\;\\Rightarrow\\; N_v = n_i e^{(E_i - E_v)\u002FkT}",[236,5057,5059,5077,5132,5323,5378],{"className":5058,"ariaHidden":273},[272],[236,5060,5062,5065,5068,5071,5074],{"className":5061},[277],[236,5063],{"className":5064,"style":1583},[281],[236,5066,345],{"className":5067},[286,290],[236,5069],{"className":5070,"style":639},[437],[236,5072,525],{"className":5073},[643],[236,5075],{"className":5076,"style":639},[437],[236,5078,5080,5083,5123,5126,5129],{"className":5079},[277],[236,5081],{"className":5082,"style":3957},[281],[236,5084,5086,5089],{"className":5085},[286],[236,5087,522],{"className":5088},[286,290],[236,5090,5092],{"className":5091},[295],[236,5093,5095,5115],{"className":5094},[299,300],[236,5096,5098,5112],{"className":5097},[304],[236,5099,5101],{"className":5100,"style":1439},[308],[236,5102,5103,5106],{"style":3715},[236,5104],{"className":5105,"style":317},[316],[236,5107,5109],{"className":5108},[321,322,323,324],[236,5110,1408],{"className":5111},[286,290,324],[236,5113,333],{"className":5114},[332],[236,5116,5118],{"className":5117},[304],[236,5119,5121],{"className":5120,"style":340},[308],[236,5122],{},[236,5124],{"className":5125,"style":639},[437],[236,5127,525],{"className":5128},[643],[236,5130],{"className":5131,"style":639},[437],[236,5133,5135,5138,5178,5308,5311,5314,5317,5320],{"className":5134},[277],[236,5136],{"className":5137,"style":653},[281],[236,5139,5141,5144],{"className":5140},[286],[236,5142,364],{"className":5143,"style":397},[286,290],[236,5145,5147],{"className":5146},[295],[236,5148,5150,5170],{"className":5149},[299,300],[236,5151,5153,5167],{"className":5152},[304],[236,5154,5156],{"className":5155,"style":672},[308],[236,5157,5158,5161],{"style":412},[236,5159],{"className":5160,"style":317},[316],[236,5162,5164],{"className":5163},[321,322,323,324],[236,5165,1261],{"className":5166,"style":1303},[286,290,324],[236,5168,333],{"className":5169},[332],[236,5171,5173],{"className":5172},[304],[236,5174,5176],{"className":5175,"style":340},[308],[236,5177],{},[236,5179,5181,5184],{"className":5180},[286],[236,5182,538],{"className":5183},[286,290],[236,5185,5187],{"className":5186},[295],[236,5188,5190],{"className":5189},[299],[236,5191,5193],{"className":5192},[304],[236,5194,5196],{"className":5195,"style":713},[308],[236,5197,5198,5201],{"style":716},[236,5199],{"className":5200,"style":317},[316],[236,5202,5204],{"className":5203},[321,322,323,324],[236,5205,5207,5210,5213,5253,5256,5296,5299,5302,5305],{"className":5206},[286,324],[236,5208,371],{"className":5209},[286,324],[236,5211,546],{"className":5212},[732,324],[236,5214,5216,5219],{"className":5215},[286,324],[236,5217,260],{"className":5218,"style":291},[286,290,324],[236,5220,5222],{"className":5221},[295],[236,5223,5225,5245],{"className":5224},[299,300],[236,5226,5228,5242],{"className":5227},[304],[236,5229,5231],{"className":5230,"style":4660},[308],[236,5232,5233,5236],{"style":754},[236,5234],{"className":5235,"style":758},[316],[236,5237,5239],{"className":5238},[321,762,763,324],[236,5240,1408],{"className":5241},[286,290,324],[236,5243,333],{"className":5244},[332],[236,5246,5248],{"className":5247},[304],[236,5249,5251],{"className":5250,"style":776},[308],[236,5252],{},[236,5254,371],{"className":5255},[442,324],[236,5257,5259,5262],{"className":5258},[286,324],[236,5260,260],{"className":5261,"style":291},[286,290,324],[236,5263,5265],{"className":5264},[295],[236,5266,5268,5288],{"className":5267},[299,300],[236,5269,5271,5285],{"className":5270},[304],[236,5272,5274],{"className":5273,"style":751},[308],[236,5275,5276,5279],{"style":754},[236,5277],{"className":5278,"style":758},[316],[236,5280,5282],{"className":5281},[321,762,763,324],[236,5283,1261],{"className":5284,"style":1303},[286,290,324],[236,5286,333],{"className":5287},[332],[236,5289,5291],{"className":5290},[304],[236,5292,5294],{"className":5293,"style":776},[308],[236,5295],{},[236,5297,563],{"className":5298},[828,324],[236,5300,567],{"className":5301},[286,324],[236,5303,570],{"className":5304,"style":835},[286,290,324],[236,5306,573],{"className":5307,"style":328},[286,290,324],[236,5309],{"className":5310,"style":639},[437],[236,5312],{"className":5313,"style":639},[437],[236,5315,580],{"className":5316},[643],[236,5318],{"className":5319,"style":639},[437],[236,5321],{"className":5322,"style":639},[437],[236,5324,5326,5329,5369,5372,5375],{"className":5325},[277],[236,5327],{"className":5328,"style":282},[281],[236,5330,5332,5335],{"className":5331},[286],[236,5333,364],{"className":5334,"style":397},[286,290],[236,5336,5338],{"className":5337},[295],[236,5339,5341,5361],{"className":5340},[299,300],[236,5342,5344,5358],{"className":5343},[304],[236,5345,5347],{"className":5346,"style":672},[308],[236,5348,5349,5352],{"style":412},[236,5350],{"className":5351,"style":317},[316],[236,5353,5355],{"className":5354},[321,322,323,324],[236,5356,1261],{"className":5357,"style":1303},[286,290,324],[236,5359,333],{"className":5360},[332],[236,5362,5364],{"className":5363},[304],[236,5365,5367],{"className":5366,"style":340},[308],[236,5368],{},[236,5370],{"className":5371,"style":639},[437],[236,5373,525],{"className":5374},[643],[236,5376],{"className":5377,"style":639},[437],[236,5379,5381,5384,5424],{"className":5380},[277],[236,5382],{"className":5383,"style":653},[281],[236,5385,5387,5390],{"className":5386},[286],[236,5388,522],{"className":5389},[286,290],[236,5391,5393],{"className":5392},[295],[236,5394,5396,5416],{"className":5395},[299,300],[236,5397,5399,5413],{"className":5398},[304],[236,5400,5402],{"className":5401,"style":1439},[308],[236,5403,5404,5407],{"style":3715},[236,5405],{"className":5406,"style":317},[316],[236,5408,5410],{"className":5409},[321,322,323,324],[236,5411,1408],{"className":5412},[286,290,324],[236,5414,333],{"className":5415},[332],[236,5417,5419],{"className":5418},[304],[236,5420,5422],{"className":5421,"style":340},[308],[236,5423],{},[236,5425,5427,5430],{"className":5426},[286],[236,5428,538],{"className":5429},[286,290],[236,5431,5433],{"className":5432},[295],[236,5434,5436],{"className":5435},[299],[236,5437,5439],{"className":5438},[304],[236,5440,5442],{"className":5441,"style":713},[308],[236,5443,5444,5447],{"style":716},[236,5445],{"className":5446,"style":317},[316],[236,5448,5450],{"className":5449},[321,322,323,324],[236,5451,5453,5456,5496,5499,5539,5542,5545,5548],{"className":5452},[286,324],[236,5454,546],{"className":5455},[732,324],[236,5457,5459,5462],{"className":5458},[286,324],[236,5460,260],{"className":5461,"style":291},[286,290,324],[236,5463,5465],{"className":5464},[295],[236,5466,5468,5488],{"className":5467},[299,300],[236,5469,5471,5485],{"className":5470},[304],[236,5472,5474],{"className":5473,"style":4660},[308],[236,5475,5476,5479],{"style":754},[236,5477],{"className":5478,"style":758},[316],[236,5480,5482],{"className":5481},[321,762,763,324],[236,5483,1408],{"className":5484},[286,290,324],[236,5486,333],{"className":5487},[332],[236,5489,5491],{"className":5490},[304],[236,5492,5494],{"className":5493,"style":776},[308],[236,5495],{},[236,5497,371],{"className":5498},[442,324],[236,5500,5502,5505],{"className":5501},[286,324],[236,5503,260],{"className":5504,"style":291},[286,290,324],[236,5506,5508],{"className":5507},[295],[236,5509,5511,5531],{"className":5510},[299,300],[236,5512,5514,5528],{"className":5513},[304],[236,5515,5517],{"className":5516,"style":751},[308],[236,5518,5519,5522],{"style":754},[236,5520],{"className":5521,"style":758},[316],[236,5523,5525],{"className":5524},[321,762,763,324],[236,5526,1261],{"className":5527,"style":1303},[286,290,324],[236,5529,333],{"className":5530},[332],[236,5532,5534],{"className":5533},[304],[236,5535,5537],{"className":5536,"style":776},[308],[236,5538],{},[236,5540,563],{"className":5541},[828,324],[236,5543,567],{"className":5544},[286,324],[236,5546,570],{"className":5547,"style":835},[286,290,324],[236,5549,573],{"className":5550,"style":328},[286,290,324],[345,5552,5553],{},"把一般情况与本征情况相除：",[236,5555,5557],{"className":5556},[506],[236,5558,5560,5756],{"className":5559},[239],[236,5561,5563],{"className":5562},[243],[245,5564,5565],{"xmlns":247,"display":515},[249,5566,5567,5753],{},[252,5568,5569,5579,5581,5663,5665,5721,5723],{},[610,5570,5571,5573],{},[258,5572,522],{},[255,5574,5575,5577],{},[258,5576,522],{},[258,5578,1408],{},[369,5580,525],{},[610,5582,5583,5623],{},[252,5584,5585,5591],{},[255,5586,5587,5589],{},[258,5588,364],{},[258,5590,532],{},[534,5592,5593,5595],{},[258,5594,538],{},[252,5596,5597,5599,5601,5607,5609,5615,5617,5619,5621],{},[369,5598,371],{},[369,5600,546],{"stretchy":545},[255,5602,5603,5605],{},[258,5604,260],{},[258,5606,532],{},[369,5608,371],{},[255,5610,5611,5613],{},[258,5612,260],{},[258,5614,263],{},[369,5616,563],{"stretchy":545},[258,5618,567],{"mathvariant":566},[258,5620,570],{},[258,5622,573],{},[252,5624,5625,5631],{},[255,5626,5627,5629],{},[258,5628,364],{},[258,5630,532],{},[534,5632,5633,5635],{},[258,5634,538],{},[252,5636,5637,5639,5641,5647,5649,5655,5657,5659,5661],{},[369,5638,371],{},[369,5640,546],{"stretchy":545},[255,5642,5643,5645],{},[258,5644,260],{},[258,5646,532],{},[369,5648,371],{},[255,5650,5651,5653],{},[258,5652,260],{},[258,5654,1408],{},[369,5656,563],{"stretchy":545},[258,5658,567],{"mathvariant":566},[258,5660,570],{},[258,5662,573],{},[369,5664,525],{},[534,5666,5667,5669],{},[258,5668,538],{},[252,5670,5671,5674,5676,5682,5684,5690,5692,5694,5696,5702,5704,5710,5712,5715,5717,5719],{},[369,5672,5673],{"stretchy":545},"[",[369,5675,546],{"stretchy":545},[255,5677,5678,5680],{},[258,5679,260],{},[258,5681,532],{},[369,5683,371],{},[255,5685,5686,5688],{},[258,5687,260],{},[258,5689,1408],{},[369,5691,563],{"stretchy":545},[369,5693,371],{},[369,5695,546],{"stretchy":545},[255,5697,5698,5700],{},[258,5699,260],{},[258,5701,532],{},[369,5703,371],{},[255,5705,5706,5708],{},[258,5707,260],{},[258,5709,263],{},[369,5711,563],{"stretchy":545},[369,5713,5714],{"stretchy":545},"]",[258,5716,567],{"mathvariant":566},[258,5718,570],{},[258,5720,573],{},[369,5722,525],{},[534,5724,5725,5727],{},[258,5726,538],{},[252,5728,5729,5731,5737,5739,5745,5747,5749,5751],{},[369,5730,546],{"stretchy":545},[255,5732,5733,5735],{},[258,5734,260],{},[258,5736,263],{},[369,5738,371],{},[255,5740,5741,5743],{},[258,5742,260],{},[258,5744,1408],{},[369,5746,563],{"stretchy":545},[258,5748,567],{"mathvariant":566},[258,5750,570],{},[258,5752,573],{},[265,5754,5755],{"encoding":267},"\\frac{n}{n_i} = \\frac{N_c e^{-(E_c - E_F)\u002FkT}}{N_c e^{-(E_c - E_i)\u002FkT}} = e^{[(E_c - E_i) - (E_c - E_F)]\u002FkT} = e^{(E_F - E_i)\u002FkT}",[236,5757,5759,5875,6292,6528],{"className":5758,"ariaHidden":273},[272],[236,5760,5762,5766,5866,5869,5872],{"className":5761},[277],[236,5763],{"className":5764,"style":5765},[281],"height:1.9436em;vertical-align:-0.836em;",[236,5767,5769,5772,5863],{"className":5768},[286],[236,5770],{"className":5771},[732,994],[236,5773,5775],{"className":5774},[610],[236,5776,5778,5855],{"className":5777},[299,300],[236,5779,5781,5852],{"className":5780},[304],[236,5782,5785,5833,5841],{"className":5783,"style":5784},[308],"height:1.1076em;",[236,5786,5787,5790],{"style":1010},[236,5788],{"className":5789,"style":1014},[316],[236,5791,5793],{"className":5792},[286],[236,5794,5796,5799],{"className":5795},[286],[236,5797,522],{"className":5798},[286,290],[236,5800,5802],{"className":5801},[295],[236,5803,5805,5825],{"className":5804},[299,300],[236,5806,5808,5822],{"className":5807},[304],[236,5809,5811],{"className":5810,"style":1439},[308],[236,5812,5813,5816],{"style":3715},[236,5814],{"className":5815,"style":317},[316],[236,5817,5819],{"className":5818},[321,322,323,324],[236,5820,1408],{"className":5821},[286,290,324],[236,5823,333],{"className":5824},[332],[236,5826,5828],{"className":5827},[304],[236,5829,5831],{"className":5830,"style":340},[308],[236,5832],{},[236,5834,5835,5838],{"style":1023},[236,5836],{"className":5837,"style":1014},[316],[236,5839],{"className":5840,"style":1031},[1030],[236,5842,5843,5846],{"style":1034},[236,5844],{"className":5845,"style":1014},[316],[236,5847,5849],{"className":5848},[286],[236,5850,522],{"className":5851},[286,290],[236,5853,333],{"className":5854},[332],[236,5856,5858],{"className":5857},[304],[236,5859,5861],{"className":5860,"style":2570},[308],[236,5862],{},[236,5864],{"className":5865},[828,994],[236,5867],{"className":5868,"style":639},[437],[236,5870,525],{"className":5871},[643],[236,5873],{"className":5874,"style":639},[437],[236,5876,5878,5882,6283,6286,6289],{"className":5877},[277],[236,5879],{"className":5880,"style":5881},[281],"height:2.419em;vertical-align:-0.854em;",[236,5883,5885,5888,6280],{"className":5884},[286],[236,5886],{"className":5887},[732,994],[236,5889,5891],{"className":5890},[610],[236,5892,5894,6271],{"className":5893},[299,300],[236,5895,5897,6268],{"className":5896},[304],[236,5898,5901,6081,6089],{"className":5899,"style":5900},[308],"height:1.565em;",[236,5902,5904,5907],{"style":5903},"top:-2.296em;",[236,5905],{"className":5906,"style":1014},[316],[236,5908,5910,5950],{"className":5909},[286],[236,5911,5913,5916],{"className":5912},[286],[236,5914,364],{"className":5915,"style":397},[286,290],[236,5917,5919],{"className":5918},[295],[236,5920,5922,5942],{"className":5921},[299,300],[236,5923,5925,5939],{"className":5924},[304],[236,5926,5928],{"className":5927,"style":672},[308],[236,5929,5930,5933],{"style":412},[236,5931],{"className":5932,"style":317},[316],[236,5934,5936],{"className":5935},[321,322,323,324],[236,5937,532],{"className":5938},[286,290,324],[236,5940,333],{"className":5941},[332],[236,5943,5945],{"className":5944},[304],[236,5946,5948],{"className":5947,"style":340},[308],[236,5949],{},[236,5951,5953,5956],{"className":5952},[286],[236,5954,538],{"className":5955},[286,290],[236,5957,5959],{"className":5958},[295],[236,5960,5962],{"className":5961},[299],[236,5963,5965],{"className":5964},[304],[236,5966,5969],{"className":5967,"style":5968},[308],"height:0.814em;",[236,5970,5971,5974],{"style":3106},[236,5972],{"className":5973,"style":317},[316],[236,5975,5977],{"className":5976},[321,322,323,324],[236,5978,5980,5983,5986,6026,6029,6069,6072,6075,6078],{"className":5979},[286,324],[236,5981,371],{"className":5982},[286,324],[236,5984,546],{"className":5985},[732,324],[236,5987,5989,5992],{"className":5988},[286,324],[236,5990,260],{"className":5991,"style":291},[286,290,324],[236,5993,5995],{"className":5994},[295],[236,5996,5998,6018],{"className":5997},[299,300],[236,5999,6001,6015],{"className":6000},[304],[236,6002,6004],{"className":6003,"style":751},[308],[236,6005,6006,6009],{"style":754},[236,6007],{"className":6008,"style":758},[316],[236,6010,6012],{"className":6011},[321,762,763,324],[236,6013,532],{"className":6014},[286,290,324],[236,6016,333],{"className":6017},[332],[236,6019,6021],{"className":6020},[304],[236,6022,6024],{"className":6023,"style":776},[308],[236,6025],{},[236,6027,371],{"className":6028},[442,324],[236,6030,6032,6035],{"className":6031},[286,324],[236,6033,260],{"className":6034,"style":291},[286,290,324],[236,6036,6038],{"className":6037},[295],[236,6039,6041,6061],{"className":6040},[299,300],[236,6042,6044,6058],{"className":6043},[304],[236,6045,6047],{"className":6046,"style":4660},[308],[236,6048,6049,6052],{"style":754},[236,6050],{"className":6051,"style":758},[316],[236,6053,6055],{"className":6054},[321,762,763,324],[236,6056,1408],{"className":6057},[286,290,324],[236,6059,333],{"className":6060},[332],[236,6062,6064],{"className":6063},[304],[236,6065,6067],{"className":6066,"style":776},[308],[236,6068],{},[236,6070,563],{"className":6071},[828,324],[236,6073,567],{"className":6074},[286,324],[236,6076,570],{"className":6077,"style":835},[286,290,324],[236,6079,573],{"className":6080,"style":328},[286,290,324],[236,6082,6083,6086],{"style":1023},[236,6084],{"className":6085,"style":1014},[316],[236,6087],{"className":6088,"style":1031},[1030],[236,6090,6091,6094],{"style":1034},[236,6092],{"className":6093,"style":1014},[316],[236,6095,6097,6137],{"className":6096},[286],[236,6098,6100,6103],{"className":6099},[286],[236,6101,364],{"className":6102,"style":397},[286,290],[236,6104,6106],{"className":6105},[295],[236,6107,6109,6129],{"className":6108},[299,300],[236,6110,6112,6126],{"className":6111},[304],[236,6113,6115],{"className":6114,"style":672},[308],[236,6116,6117,6120],{"style":412},[236,6118],{"className":6119,"style":317},[316],[236,6121,6123],{"className":6122},[321,322,323,324],[236,6124,532],{"className":6125},[286,290,324],[236,6127,333],{"className":6128},[332],[236,6130,6132],{"className":6131},[304],[236,6133,6135],{"className":6134,"style":340},[308],[236,6136],{},[236,6138,6140,6143],{"className":6139},[286],[236,6141,538],{"className":6142},[286,290],[236,6144,6146],{"className":6145},[295],[236,6147,6149],{"className":6148},[299],[236,6150,6152],{"className":6151},[304],[236,6153,6156],{"className":6154,"style":6155},[308],"height:0.888em;",[236,6157,6158,6161],{"style":3177},[236,6159],{"className":6160,"style":317},[316],[236,6162,6164],{"className":6163},[321,322,323,324],[236,6165,6167,6170,6173,6213,6216,6256,6259,6262,6265],{"className":6166},[286,324],[236,6168,371],{"className":6169},[286,324],[236,6171,546],{"className":6172},[732,324],[236,6174,6176,6179],{"className":6175},[286,324],[236,6177,260],{"className":6178,"style":291},[286,290,324],[236,6180,6182],{"className":6181},[295],[236,6183,6185,6205],{"className":6184},[299,300],[236,6186,6188,6202],{"className":6187},[304],[236,6189,6191],{"className":6190,"style":751},[308],[236,6192,6193,6196],{"style":754},[236,6194],{"className":6195,"style":758},[316],[236,6197,6199],{"className":6198},[321,762,763,324],[236,6200,532],{"className":6201},[286,290,324],[236,6203,333],{"className":6204},[332],[236,6206,6208],{"className":6207},[304],[236,6209,6211],{"className":6210,"style":776},[308],[236,6212],{},[236,6214,371],{"className":6215},[442,324],[236,6217,6219,6222],{"className":6218},[286,324],[236,6220,260],{"className":6221,"style":291},[286,290,324],[236,6223,6225],{"className":6224},[295],[236,6226,6228,6248],{"className":6227},[299,300],[236,6229,6231,6245],{"className":6230},[304],[236,6232,6234],{"className":6233,"style":800},[308],[236,6235,6236,6239],{"style":803},[236,6237],{"className":6238,"style":758},[316],[236,6240,6242],{"className":6241},[321,762,763,324],[236,6243,263],{"className":6244,"style":328},[286,290,324],[236,6246,333],{"className":6247},[332],[236,6249,6251],{"className":6250},[304],[236,6252,6254],{"className":6253,"style":822},[308],[236,6255],{},[236,6257,563],{"className":6258},[828,324],[236,6260,567],{"className":6261},[286,324],[236,6263,570],{"className":6264,"style":835},[286,290,324],[236,6266,573],{"className":6267,"style":328},[286,290,324],[236,6269,333],{"className":6270},[332],[236,6272,6274],{"className":6273},[304],[236,6275,6278],{"className":6276,"style":6277},[308],"height:0.854em;",[236,6279],{},[236,6281],{"className":6282},[828,994],[236,6284],{"className":6285,"style":639},[437],[236,6287,525],{"className":6288},[643],[236,6290],{"className":6291,"style":639},[437],[236,6293,6295,6298,6519,6522,6525],{"className":6294},[277],[236,6296],{"className":6297,"style":713},[281],[236,6299,6301,6304],{"className":6300},[286],[236,6302,538],{"className":6303},[286,290],[236,6305,6307],{"className":6306},[295],[236,6308,6310],{"className":6309},[299],[236,6311,6313],{"className":6312},[304],[236,6314,6316],{"className":6315,"style":713},[308],[236,6317,6318,6321],{"style":716},[236,6319],{"className":6320,"style":317},[316],[236,6322,6324],{"className":6323},[321,322,323,324],[236,6325,6327,6331,6371,6374,6414,6417,6420,6423,6463,6466,6506,6510,6513,6516],{"className":6326},[286,324],[236,6328,6330],{"className":6329},[732,324],"[(",[236,6332,6334,6337],{"className":6333},[286,324],[236,6335,260],{"className":6336,"style":291},[286,290,324],[236,6338,6340],{"className":6339},[295],[236,6341,6343,6363],{"className":6342},[299,300],[236,6344,6346,6360],{"className":6345},[304],[236,6347,6349],{"className":6348,"style":751},[308],[236,6350,6351,6354],{"style":754},[236,6352],{"className":6353,"style":758},[316],[236,6355,6357],{"className":6356},[321,762,763,324],[236,6358,532],{"className":6359},[286,290,324],[236,6361,333],{"className":6362},[332],[236,6364,6366],{"className":6365},[304],[236,6367,6369],{"className":6368,"style":776},[308],[236,6370],{},[236,6372,371],{"className":6373},[442,324],[236,6375,6377,6380],{"className":6376},[286,324],[236,6378,260],{"className":6379,"style":291},[286,290,324],[236,6381,6383],{"className":6382},[295],[236,6384,6386,6406],{"className":6385},[299,300],[236,6387,6389,6403],{"className":6388},[304],[236,6390,6392],{"className":6391,"style":4660},[308],[236,6393,6394,6397],{"style":754},[236,6395],{"className":6396,"style":758},[316],[236,6398,6400],{"className":6399},[321,762,763,324],[236,6401,1408],{"className":6402},[286,290,324],[236,6404,333],{"className":6405},[332],[236,6407,6409],{"className":6408},[304],[236,6410,6412],{"className":6411,"style":776},[308],[236,6413],{},[236,6415,563],{"className":6416},[828,324],[236,6418,371],{"className":6419},[442,324],[236,6421,546],{"className":6422},[732,324],[236,6424,6426,6429],{"className":6425},[286,324],[236,6427,260],{"className":6428,"style":291},[286,290,324],[236,6430,6432],{"className":6431},[295],[236,6433,6435,6455],{"className":6434},[299,300],[236,6436,6438,6452],{"className":6437},[304],[236,6439,6441],{"className":6440,"style":751},[308],[236,6442,6443,6446],{"style":754},[236,6444],{"className":6445,"style":758},[316],[236,6447,6449],{"className":6448},[321,762,763,324],[236,6450,532],{"className":6451},[286,290,324],[236,6453,333],{"className":6454},[332],[236,6456,6458],{"className":6457},[304],[236,6459,6461],{"className":6460,"style":776},[308],[236,6462],{},[236,6464,371],{"className":6465},[442,324],[236,6467,6469,6472],{"className":6468},[286,324],[236,6470,260],{"className":6471,"style":291},[286,290,324],[236,6473,6475],{"className":6474},[295],[236,6476,6478,6498],{"className":6477},[299,300],[236,6479,6481,6495],{"className":6480},[304],[236,6482,6484],{"className":6483,"style":800},[308],[236,6485,6486,6489],{"style":803},[236,6487],{"className":6488,"style":758},[316],[236,6490,6492],{"className":6491},[321,762,763,324],[236,6493,263],{"className":6494,"style":328},[286,290,324],[236,6496,333],{"className":6497},[332],[236,6499,6501],{"className":6500},[304],[236,6502,6504],{"className":6503,"style":822},[308],[236,6505],{},[236,6507,6509],{"className":6508},[828,324],")]",[236,6511,567],{"className":6512},[286,324],[236,6514,570],{"className":6515,"style":835},[286,290,324],[236,6517,573],{"className":6518,"style":328},[286,290,324],[236,6520],{"className":6521,"style":639},[437],[236,6523,525],{"className":6524},[643],[236,6526],{"className":6527,"style":639},[437],[236,6529,6531,6534],{"className":6530},[277],[236,6532],{"className":6533,"style":713},[281],[236,6535,6537,6540],{"className":6536},[286],[236,6538,538],{"className":6539},[286,290],[236,6541,6543],{"className":6542},[295],[236,6544,6546],{"className":6545},[299],[236,6547,6549],{"className":6548},[304],[236,6550,6552],{"className":6551,"style":713},[308],[236,6553,6554,6557],{"style":716},[236,6555],{"className":6556,"style":317},[316],[236,6558,6560],{"className":6559},[321,322,323,324],[236,6561,6563,6566,6606,6609,6649,6652,6655,6658],{"className":6562},[286,324],[236,6564,546],{"className":6565},[732,324],[236,6567,6569,6572],{"className":6568},[286,324],[236,6570,260],{"className":6571,"style":291},[286,290,324],[236,6573,6575],{"className":6574},[295],[236,6576,6578,6598],{"className":6577},[299,300],[236,6579,6581,6595],{"className":6580},[304],[236,6582,6584],{"className":6583,"style":800},[308],[236,6585,6586,6589],{"style":803},[236,6587],{"className":6588,"style":758},[316],[236,6590,6592],{"className":6591},[321,762,763,324],[236,6593,263],{"className":6594,"style":328},[286,290,324],[236,6596,333],{"className":6597},[332],[236,6599,6601],{"className":6600},[304],[236,6602,6604],{"className":6603,"style":822},[308],[236,6605],{},[236,6607,371],{"className":6608},[442,324],[236,6610,6612,6615],{"className":6611},[286,324],[236,6613,260],{"className":6614,"style":291},[286,290,324],[236,6616,6618],{"className":6617},[295],[236,6619,6621,6641],{"className":6620},[299,300],[236,6622,6624,6638],{"className":6623},[304],[236,6625,6627],{"className":6626,"style":4660},[308],[236,6628,6629,6632],{"style":754},[236,6630],{"className":6631,"style":758},[316],[236,6633,6635],{"className":6634},[321,762,763,324],[236,6636,1408],{"className":6637},[286,290,324],[236,6639,333],{"className":6640},[332],[236,6642,6644],{"className":6643},[304],[236,6645,6647],{"className":6646,"style":776},[308],[236,6648],{},[236,6650,563],{"className":6651},[828,324],[236,6653,567],{"className":6654},[286,324],[236,6656,570],{"className":6657,"style":835},[286,290,324],[236,6659,573],{"className":6660,"style":328},[286,290,324],[236,6662,6664],{"className":6663},[506],[236,6665,6667,6861],{"className":6666},[239],[236,6668,6670],{"className":6669},[243],[245,6671,6672],{"xmlns":247,"display":515},[249,6673,6674,6858],{},[252,6675,6676,6686,6688,6770,6772,6826,6828],{},[610,6677,6678,6680],{},[258,6679,345],{},[255,6681,6682,6684],{},[258,6683,522],{},[258,6685,1408],{},[369,6687,525],{},[610,6689,6690,6730],{},[252,6691,6692,6698],{},[255,6693,6694,6696],{},[258,6695,364],{},[258,6697,1261],{},[534,6699,6700,6702],{},[258,6701,538],{},[252,6703,6704,6706,6708,6714,6716,6722,6724,6726,6728],{},[369,6705,371],{},[369,6707,546],{"stretchy":545},[255,6709,6710,6712],{},[258,6711,260],{},[258,6713,263],{},[369,6715,371],{},[255,6717,6718,6720],{},[258,6719,260],{},[258,6721,1261],{},[369,6723,563],{"stretchy":545},[258,6725,567],{"mathvariant":566},[258,6727,570],{},[258,6729,573],{},[252,6731,6732,6738],{},[255,6733,6734,6736],{},[258,6735,364],{},[258,6737,1261],{},[534,6739,6740,6742],{},[258,6741,538],{},[252,6743,6744,6746,6748,6754,6756,6762,6764,6766,6768],{},[369,6745,371],{},[369,6747,546],{"stretchy":545},[255,6749,6750,6752],{},[258,6751,260],{},[258,6753,1408],{},[369,6755,371],{},[255,6757,6758,6760],{},[258,6759,260],{},[258,6761,1261],{},[369,6763,563],{"stretchy":545},[258,6765,567],{"mathvariant":566},[258,6767,570],{},[258,6769,573],{},[369,6771,525],{},[534,6773,6774,6776],{},[258,6775,538],{},[252,6777,6778,6780,6782,6788,6790,6796,6798,6800,6802,6808,6810,6816,6818,6820,6822,6824],{},[369,6779,5673],{"stretchy":545},[369,6781,546],{"stretchy":545},[255,6783,6784,6786],{},[258,6785,260],{},[258,6787,1408],{},[369,6789,371],{},[255,6791,6792,6794],{},[258,6793,260],{},[258,6795,1261],{},[369,6797,563],{"stretchy":545},[369,6799,371],{},[369,6801,546],{"stretchy":545},[255,6803,6804,6806],{},[258,6805,260],{},[258,6807,263],{},[369,6809,371],{},[255,6811,6812,6814],{},[258,6813,260],{},[258,6815,1261],{},[369,6817,563],{"stretchy":545},[369,6819,5714],{"stretchy":545},[258,6821,567],{"mathvariant":566},[258,6823,570],{},[258,6825,573],{},[369,6827,525],{},[534,6829,6830,6832],{},[258,6831,538],{},[252,6833,6834,6836,6842,6844,6850,6852,6854,6856],{},[369,6835,546],{"stretchy":545},[255,6837,6838,6840],{},[258,6839,260],{},[258,6841,1408],{},[369,6843,371],{},[255,6845,6846,6848],{},[258,6847,260],{},[258,6849,263],{},[369,6851,563],{"stretchy":545},[258,6853,567],{"mathvariant":566},[258,6855,570],{},[258,6857,573],{},[265,6859,6860],{"encoding":267},"\\frac{p}{n_i} = \\frac{N_v e^{-(E_F - E_v)\u002FkT}}{N_v e^{-(E_i - E_v)\u002FkT}} = e^{[(E_i - E_v) - (E_F - E_v)]\u002FkT} = e^{(E_i - E_F)\u002FkT}",[236,6862,6864,6978,7389,7623],{"className":6863,"ariaHidden":273},[272],[236,6865,6867,6870,6969,6972,6975],{"className":6866},[277],[236,6868],{"className":6869,"style":5765},[281],[236,6871,6873,6876,6966],{"className":6872},[286],[236,6874],{"className":6875},[732,994],[236,6877,6879],{"className":6878},[610],[236,6880,6882,6958],{"className":6881},[299,300],[236,6883,6885,6955],{"className":6884},[304],[236,6886,6888,6936,6944],{"className":6887,"style":5784},[308],[236,6889,6890,6893],{"style":1010},[236,6891],{"className":6892,"style":1014},[316],[236,6894,6896],{"className":6895},[286],[236,6897,6899,6902],{"className":6898},[286],[236,6900,522],{"className":6901},[286,290],[236,6903,6905],{"className":6904},[295],[236,6906,6908,6928],{"className":6907},[299,300],[236,6909,6911,6925],{"className":6910},[304],[236,6912,6914],{"className":6913,"style":1439},[308],[236,6915,6916,6919],{"style":3715},[236,6917],{"className":6918,"style":317},[316],[236,6920,6922],{"className":6921},[321,322,323,324],[236,6923,1408],{"className":6924},[286,290,324],[236,6926,333],{"className":6927},[332],[236,6929,6931],{"className":6930},[304],[236,6932,6934],{"className":6933,"style":340},[308],[236,6935],{},[236,6937,6938,6941],{"style":1023},[236,6939],{"className":6940,"style":1014},[316],[236,6942],{"className":6943,"style":1031},[1030],[236,6945,6946,6949],{"style":1034},[236,6947],{"className":6948,"style":1014},[316],[236,6950,6952],{"className":6951},[286],[236,6953,345],{"className":6954},[286,290],[236,6956,333],{"className":6957},[332],[236,6959,6961],{"className":6960},[304],[236,6962,6964],{"className":6963,"style":2570},[308],[236,6965],{},[236,6967],{"className":6968},[828,994],[236,6970],{"className":6971,"style":639},[437],[236,6973,525],{"className":6974},[643],[236,6976],{"className":6977,"style":639},[437],[236,6979,6981,6984,7380,7383,7386],{"className":6980},[277],[236,6982],{"className":6983,"style":5881},[281],[236,6985,6987,6990,7377],{"className":6986},[286],[236,6988],{"className":6989},[732,994],[236,6991,6993],{"className":6992},[610],[236,6994,6996,7369],{"className":6995},[299,300],[236,6997,6999,7366],{"className":6998},[304],[236,7000,7002,7180,7188],{"className":7001,"style":5900},[308],[236,7003,7004,7007],{"style":5903},[236,7005],{"className":7006,"style":1014},[316],[236,7008,7010,7050],{"className":7009},[286],[236,7011,7013,7016],{"className":7012},[286],[236,7014,364],{"className":7015,"style":397},[286,290],[236,7017,7019],{"className":7018},[295],[236,7020,7022,7042],{"className":7021},[299,300],[236,7023,7025,7039],{"className":7024},[304],[236,7026,7028],{"className":7027,"style":672},[308],[236,7029,7030,7033],{"style":412},[236,7031],{"className":7032,"style":317},[316],[236,7034,7036],{"className":7035},[321,322,323,324],[236,7037,1261],{"className":7038,"style":1303},[286,290,324],[236,7040,333],{"className":7041},[332],[236,7043,7045],{"className":7044},[304],[236,7046,7048],{"className":7047,"style":340},[308],[236,7049],{},[236,7051,7053,7056],{"className":7052},[286],[236,7054,538],{"className":7055},[286,290],[236,7057,7059],{"className":7058},[295],[236,7060,7062],{"className":7061},[299],[236,7063,7065],{"className":7064},[304],[236,7066,7068],{"className":7067,"style":5968},[308],[236,7069,7070,7073],{"style":3106},[236,7071],{"className":7072,"style":317},[316],[236,7074,7076],{"className":7075},[321,322,323,324],[236,7077,7079,7082,7085,7125,7128,7168,7171,7174,7177],{"className":7078},[286,324],[236,7080,371],{"className":7081},[286,324],[236,7083,546],{"className":7084},[732,324],[236,7086,7088,7091],{"className":7087},[286,324],[236,7089,260],{"className":7090,"style":291},[286,290,324],[236,7092,7094],{"className":7093},[295],[236,7095,7097,7117],{"className":7096},[299,300],[236,7098,7100,7114],{"className":7099},[304],[236,7101,7103],{"className":7102,"style":4660},[308],[236,7104,7105,7108],{"style":754},[236,7106],{"className":7107,"style":758},[316],[236,7109,7111],{"className":7110},[321,762,763,324],[236,7112,1408],{"className":7113},[286,290,324],[236,7115,333],{"className":7116},[332],[236,7118,7120],{"className":7119},[304],[236,7121,7123],{"className":7122,"style":776},[308],[236,7124],{},[236,7126,371],{"className":7127},[442,324],[236,7129,7131,7134],{"className":7130},[286,324],[236,7132,260],{"className":7133,"style":291},[286,290,324],[236,7135,7137],{"className":7136},[295],[236,7138,7140,7160],{"className":7139},[299,300],[236,7141,7143,7157],{"className":7142},[304],[236,7144,7146],{"className":7145,"style":751},[308],[236,7147,7148,7151],{"style":754},[236,7149],{"className":7150,"style":758},[316],[236,7152,7154],{"className":7153},[321,762,763,324],[236,7155,1261],{"className":7156,"style":1303},[286,290,324],[236,7158,333],{"className":7159},[332],[236,7161,7163],{"className":7162},[304],[236,7164,7166],{"className":7165,"style":776},[308],[236,7167],{},[236,7169,563],{"className":7170},[828,324],[236,7172,567],{"className":7173},[286,324],[236,7175,570],{"className":7176,"style":835},[286,290,324],[236,7178,573],{"className":7179,"style":328},[286,290,324],[236,7181,7182,7185],{"style":1023},[236,7183],{"className":7184,"style":1014},[316],[236,7186],{"className":7187,"style":1031},[1030],[236,7189,7190,7193],{"style":1034},[236,7191],{"className":7192,"style":1014},[316],[236,7194,7196,7236],{"className":7195},[286],[236,7197,7199,7202],{"className":7198},[286],[236,7200,364],{"className":7201,"style":397},[286,290],[236,7203,7205],{"className":7204},[295],[236,7206,7208,7228],{"className":7207},[299,300],[236,7209,7211,7225],{"className":7210},[304],[236,7212,7214],{"className":7213,"style":672},[308],[236,7215,7216,7219],{"style":412},[236,7217],{"className":7218,"style":317},[316],[236,7220,7222],{"className":7221},[321,322,323,324],[236,7223,1261],{"className":7224,"style":1303},[286,290,324],[236,7226,333],{"className":7227},[332],[236,7229,7231],{"className":7230},[304],[236,7232,7234],{"className":7233,"style":340},[308],[236,7235],{},[236,7237,7239,7242],{"className":7238},[286],[236,7240,538],{"className":7241},[286,290],[236,7243,7245],{"className":7244},[295],[236,7246,7248],{"className":7247},[299],[236,7249,7251],{"className":7250},[304],[236,7252,7254],{"className":7253,"style":6155},[308],[236,7255,7256,7259],{"style":3177},[236,7257],{"className":7258,"style":317},[316],[236,7260,7262],{"className":7261},[321,322,323,324],[236,7263,7265,7268,7271,7311,7314,7354,7357,7360,7363],{"className":7264},[286,324],[236,7266,371],{"className":7267},[286,324],[236,7269,546],{"className":7270},[732,324],[236,7272,7274,7277],{"className":7273},[286,324],[236,7275,260],{"className":7276,"style":291},[286,290,324],[236,7278,7280],{"className":7279},[295],[236,7281,7283,7303],{"className":7282},[299,300],[236,7284,7286,7300],{"className":7285},[304],[236,7287,7289],{"className":7288,"style":800},[308],[236,7290,7291,7294],{"style":803},[236,7292],{"className":7293,"style":758},[316],[236,7295,7297],{"className":7296},[321,762,763,324],[236,7298,263],{"className":7299,"style":328},[286,290,324],[236,7301,333],{"className":7302},[332],[236,7304,7306],{"className":7305},[304],[236,7307,7309],{"className":7308,"style":822},[308],[236,7310],{},[236,7312,371],{"className":7313},[442,324],[236,7315,7317,7320],{"className":7316},[286,324],[236,7318,260],{"className":7319,"style":291},[286,290,324],[236,7321,7323],{"className":7322},[295],[236,7324,7326,7346],{"className":7325},[299,300],[236,7327,7329,7343],{"className":7328},[304],[236,7330,7332],{"className":7331,"style":751},[308],[236,7333,7334,7337],{"style":754},[236,7335],{"className":7336,"style":758},[316],[236,7338,7340],{"className":7339},[321,762,763,324],[236,7341,1261],{"className":7342,"style":1303},[286,290,324],[236,7344,333],{"className":7345},[332],[236,7347,7349],{"className":7348},[304],[236,7350,7352],{"className":7351,"style":776},[308],[236,7353],{},[236,7355,563],{"className":7356},[828,324],[236,7358,567],{"className":7359},[286,324],[236,7361,570],{"className":7362,"style":835},[286,290,324],[236,7364,573],{"className":7365,"style":328},[286,290,324],[236,7367,333],{"className":7368},[332],[236,7370,7372],{"className":7371},[304],[236,7373,7375],{"className":7374,"style":6277},[308],[236,7376],{},[236,7378],{"className":7379},[828,994],[236,7381],{"className":7382,"style":639},[437],[236,7384,525],{"className":7385},[643],[236,7387],{"className":7388,"style":639},[437],[236,7390,7392,7395,7614,7617,7620],{"className":7391},[277],[236,7393],{"className":7394,"style":713},[281],[236,7396,7398,7401],{"className":7397},[286],[236,7399,538],{"className":7400},[286,290],[236,7402,7404],{"className":7403},[295],[236,7405,7407],{"className":7406},[299],[236,7408,7410],{"className":7409},[304],[236,7411,7413],{"className":7412,"style":713},[308],[236,7414,7415,7418],{"style":716},[236,7416],{"className":7417,"style":317},[316],[236,7419,7421],{"className":7420},[321,322,323,324],[236,7422,7424,7427,7467,7470,7510,7513,7516,7519,7559,7562,7602,7605,7608,7611],{"className":7423},[286,324],[236,7425,6330],{"className":7426},[732,324],[236,7428,7430,7433],{"className":7429},[286,324],[236,7431,260],{"className":7432,"style":291},[286,290,324],[236,7434,7436],{"className":7435},[295],[236,7437,7439,7459],{"className":7438},[299,300],[236,7440,7442,7456],{"className":7441},[304],[236,7443,7445],{"className":7444,"style":4660},[308],[236,7446,7447,7450],{"style":754},[236,7448],{"className":7449,"style":758},[316],[236,7451,7453],{"className":7452},[321,762,763,324],[236,7454,1408],{"className":7455},[286,290,324],[236,7457,333],{"className":7458},[332],[236,7460,7462],{"className":7461},[304],[236,7463,7465],{"className":7464,"style":776},[308],[236,7466],{},[236,7468,371],{"className":7469},[442,324],[236,7471,7473,7476],{"className":7472},[286,324],[236,7474,260],{"className":7475,"style":291},[286,290,324],[236,7477,7479],{"className":7478},[295],[236,7480,7482,7502],{"className":7481},[299,300],[236,7483,7485,7499],{"className":7484},[304],[236,7486,7488],{"className":7487,"style":751},[308],[236,7489,7490,7493],{"style":754},[236,7491],{"className":7492,"style":758},[316],[236,7494,7496],{"className":7495},[321,762,763,324],[236,7497,1261],{"className":7498,"style":1303},[286,290,324],[236,7500,333],{"className":7501},[332],[236,7503,7505],{"className":7504},[304],[236,7506,7508],{"className":7507,"style":776},[308],[236,7509],{},[236,7511,563],{"className":7512},[828,324],[236,7514,371],{"className":7515},[442,324],[236,7517,546],{"className":7518},[732,324],[236,7520,7522,7525],{"className":7521},[286,324],[236,7523,260],{"className":7524,"style":291},[286,290,324],[236,7526,7528],{"className":7527},[295],[236,7529,7531,7551],{"className":7530},[299,300],[236,7532,7534,7548],{"className":7533},[304],[236,7535,7537],{"className":7536,"style":800},[308],[236,7538,7539,7542],{"style":803},[236,7540],{"className":7541,"style":758},[316],[236,7543,7545],{"className":7544},[321,762,763,324],[236,7546,263],{"className":7547,"style":328},[286,290,324],[236,7549,333],{"className":7550},[332],[236,7552,7554],{"className":7553},[304],[236,7555,7557],{"className":7556,"style":822},[308],[236,7558],{},[236,7560,371],{"className":7561},[442,324],[236,7563,7565,7568],{"className":7564},[286,324],[236,7566,260],{"className":7567,"style":291},[286,290,324],[236,7569,7571],{"className":7570},[295],[236,7572,7574,7594],{"className":7573},[299,300],[236,7575,7577,7591],{"className":7576},[304],[236,7578,7580],{"className":7579,"style":751},[308],[236,7581,7582,7585],{"style":754},[236,7583],{"className":7584,"style":758},[316],[236,7586,7588],{"className":7587},[321,762,763,324],[236,7589,1261],{"className":7590,"style":1303},[286,290,324],[236,7592,333],{"className":7593},[332],[236,7595,7597],{"className":7596},[304],[236,7598,7600],{"className":7599,"style":776},[308],[236,7601],{},[236,7603,6509],{"className":7604},[828,324],[236,7606,567],{"className":7607},[286,324],[236,7609,570],{"className":7610,"style":835},[286,290,324],[236,7612,573],{"className":7613,"style":328},[286,290,324],[236,7615],{"className":7616,"style":639},[437],[236,7618,525],{"className":7619},[643],[236,7621],{"className":7622,"style":639},[437],[236,7624,7626,7629],{"className":7625},[277],[236,7627],{"className":7628,"style":713},[281],[236,7630,7632,7635],{"className":7631},[286],[236,7633,538],{"className":7634},[286,290],[236,7636,7638],{"className":7637},[295],[236,7639,7641],{"className":7640},[299],[236,7642,7644],{"className":7643},[304],[236,7645,7647],{"className":7646,"style":713},[308],[236,7648,7649,7652],{"style":716},[236,7650],{"className":7651,"style":317},[316],[236,7653,7655],{"className":7654},[321,322,323,324],[236,7656,7658,7661,7701,7704,7744,7747,7750,7753],{"className":7657},[286,324],[236,7659,546],{"className":7660},[732,324],[236,7662,7664,7667],{"className":7663},[286,324],[236,7665,260],{"className":7666,"style":291},[286,290,324],[236,7668,7670],{"className":7669},[295],[236,7671,7673,7693],{"className":7672},[299,300],[236,7674,7676,7690],{"className":7675},[304],[236,7677,7679],{"className":7678,"style":4660},[308],[236,7680,7681,7684],{"style":754},[236,7682],{"className":7683,"style":758},[316],[236,7685,7687],{"className":7686},[321,762,763,324],[236,7688,1408],{"className":7689},[286,290,324],[236,7691,333],{"className":7692},[332],[236,7694,7696],{"className":7695},[304],[236,7697,7699],{"className":7698,"style":776},[308],[236,7700],{},[236,7702,371],{"className":7703},[442,324],[236,7705,7707,7710],{"className":7706},[286,324],[236,7708,260],{"className":7709,"style":291},[286,290,324],[236,7711,7713],{"className":7712},[295],[236,7714,7716,7736],{"className":7715},[299,300],[236,7717,7719,7733],{"className":7718},[304],[236,7720,7722],{"className":7721,"style":800},[308],[236,7723,7724,7727],{"style":803},[236,7725],{"className":7726,"style":758},[316],[236,7728,7730],{"className":7729},[321,762,763,324],[236,7731,263],{"className":7732,"style":328},[286,290,324],[236,7734,333],{"className":7735},[332],[236,7737,7739],{"className":7738},[304],[236,7740,7742],{"className":7741,"style":822},[308],[236,7743],{},[236,7745,563],{"className":7746},[828,324],[236,7748,567],{"className":7749},[286,324],[236,7751,570],{"className":7752,"style":835},[286,290,324],[236,7754,573],{"className":7755,"style":328},[286,290,324],[345,7757,7758],{},"即可得到：",[236,7760,7762],{"className":7761},[506],[236,7763,7765,7862],{"className":7764},[239],[236,7766,7768],{"className":7767},[243],[245,7769,7770],{"xmlns":247,"display":515},[249,7771,7772,7859],{},[252,7773,7774,7776,7778,7784,7814,7816,7819,7821,7823,7829],{},[258,7775,522],{},[369,7777,525],{},[255,7779,7780,7782],{},[258,7781,522],{},[258,7783,1408],{},[534,7785,7786,7788],{},[258,7787,538],{},[252,7789,7790,7792,7798,7800,7806,7808,7810,7812],{},[369,7791,546],{"stretchy":545},[255,7793,7794,7796],{},[258,7795,260],{},[258,7797,263],{},[369,7799,371],{},[255,7801,7802,7804],{},[258,7803,260],{},[258,7805,1408],{},[369,7807,563],{"stretchy":545},[258,7809,567],{"mathvariant":566},[258,7811,570],{},[258,7813,573],{},[369,7815,3667],{"separator":273},[437,7817],{"width":7818},"2em",[258,7820,345],{},[369,7822,525],{},[255,7824,7825,7827],{},[258,7826,522],{},[258,7828,1408],{},[534,7830,7831,7833],{},[258,7832,538],{},[252,7834,7835,7837,7843,7845,7851,7853,7855,7857],{},[369,7836,546],{"stretchy":545},[255,7838,7839,7841],{},[258,7840,260],{},[258,7842,1408],{},[369,7844,371],{},[255,7846,7847,7849],{},[258,7848,260],{},[258,7850,263],{},[369,7852,563],{"stretchy":545},[258,7854,567],{"mathvariant":566},[258,7856,570],{},[258,7858,573],{},[265,7860,7861],{"encoding":267},"n = n_i e^{(E_F - E_i)\u002FkT}, \\qquad p = n_i e^{(E_i - E_F)\u002FkT}",[236,7863,7865,7883,8079],{"className":7864,"ariaHidden":273},[272],[236,7866,7868,7871,7874,7877,7880],{"className":7867},[277],[236,7869],{"className":7870,"style":632},[281],[236,7872,522],{"className":7873},[286,290],[236,7875],{"className":7876,"style":639},[437],[236,7878,525],{"className":7879},[643],[236,7881],{"className":7882,"style":639},[437],[236,7884,7886,7890,7930,8057,8060,8064,8067,8070,8073,8076],{"className":7885},[277],[236,7887],{"className":7888,"style":7889},[281],"height:1.1324em;vertical-align:-0.1944em;",[236,7891,7893,7896],{"className":7892},[286],[236,7894,522],{"className":7895},[286,290],[236,7897,7899],{"className":7898},[295],[236,7900,7902,7922],{"className":7901},[299,300],[236,7903,7905,7919],{"className":7904},[304],[236,7906,7908],{"className":7907,"style":1439},[308],[236,7909,7910,7913],{"style":3715},[236,7911],{"className":7912,"style":317},[316],[236,7914,7916],{"className":7915},[321,322,323,324],[236,7917,1408],{"className":7918},[286,290,324],[236,7920,333],{"className":7921},[332],[236,7923,7925],{"className":7924},[304],[236,7926,7928],{"className":7927,"style":340},[308],[236,7929],{},[236,7931,7933,7936],{"className":7932},[286],[236,7934,538],{"className":7935},[286,290],[236,7937,7939],{"className":7938},[295],[236,7940,7942],{"className":7941},[299],[236,7943,7945],{"className":7944},[304],[236,7946,7948],{"className":7947,"style":713},[308],[236,7949,7950,7953],{"style":716},[236,7951],{"className":7952,"style":317},[316],[236,7954,7956],{"className":7955},[321,322,323,324],[236,7957,7959,7962,8002,8005,8045,8048,8051,8054],{"className":7958},[286,324],[236,7960,546],{"className":7961},[732,324],[236,7963,7965,7968],{"className":7964},[286,324],[236,7966,260],{"className":7967,"style":291},[286,290,324],[236,7969,7971],{"className":7970},[295],[236,7972,7974,7994],{"className":7973},[299,300],[236,7975,7977,7991],{"className":7976},[304],[236,7978,7980],{"className":7979,"style":800},[308],[236,7981,7982,7985],{"style":803},[236,7983],{"className":7984,"style":758},[316],[236,7986,7988],{"className":7987},[321,762,763,324],[236,7989,263],{"className":7990,"style":328},[286,290,324],[236,7992,333],{"className":7993},[332],[236,7995,7997],{"className":7996},[304],[236,7998,8000],{"className":7999,"style":822},[308],[236,8001],{},[236,8003,371],{"className":8004},[442,324],[236,8006,8008,8011],{"className":8007},[286,324],[236,8009,260],{"className":8010,"style":291},[286,290,324],[236,8012,8014],{"className":8013},[295],[236,8015,8017,8037],{"className":8016},[299,300],[236,8018,8020,8034],{"className":8019},[304],[236,8021,8023],{"className":8022,"style":4660},[308],[236,8024,8025,8028],{"style":754},[236,8026],{"className":8027,"style":758},[316],[236,8029,8031],{"className":8030},[321,762,763,324],[236,8032,1408],{"className":8033},[286,290,324],[236,8035,333],{"className":8036},[332],[236,8038,8040],{"className":8039},[304],[236,8041,8043],{"className":8042,"style":776},[308],[236,8044],{},[236,8046,563],{"className":8047},[828,324],[236,8049,567],{"className":8050},[286,324],[236,8052,570],{"className":8053,"style":835},[286,290,324],[236,8055,573],{"className":8056,"style":328},[286,290,324],[236,8058,3667],{"className":8059},[3739],[236,8061],{"className":8062,"style":8063},[437],"margin-right:2em;",[236,8065],{"className":8066,"style":980},[437],[236,8068,345],{"className":8069},[286,290],[236,8071],{"className":8072,"style":639},[437],[236,8074,525],{"className":8075},[643],[236,8077],{"className":8078,"style":639},[437],[236,8080,8082,8085,8125],{"className":8081},[277],[236,8083],{"className":8084,"style":653},[281],[236,8086,8088,8091],{"className":8087},[286],[236,8089,522],{"className":8090},[286,290],[236,8092,8094],{"className":8093},[295],[236,8095,8097,8117],{"className":8096},[299,300],[236,8098,8100,8114],{"className":8099},[304],[236,8101,8103],{"className":8102,"style":1439},[308],[236,8104,8105,8108],{"style":3715},[236,8106],{"className":8107,"style":317},[316],[236,8109,8111],{"className":8110},[321,322,323,324],[236,8112,1408],{"className":8113},[286,290,324],[236,8115,333],{"className":8116},[332],[236,8118,8120],{"className":8119},[304],[236,8121,8123],{"className":8122,"style":340},[308],[236,8124],{},[236,8126,8128,8131],{"className":8127},[286],[236,8129,538],{"className":8130},[286,290],[236,8132,8134],{"className":8133},[295],[236,8135,8137],{"className":8136},[299],[236,8138,8140],{"className":8139},[304],[236,8141,8143],{"className":8142,"style":713},[308],[236,8144,8145,8148],{"style":716},[236,8146],{"className":8147,"style":317},[316],[236,8149,8151],{"className":8150},[321,322,323,324],[236,8152,8154,8157,8197,8200,8240,8243,8246,8249],{"className":8153},[286,324],[236,8155,546],{"className":8156},[732,324],[236,8158,8160,8163],{"className":8159},[286,324],[236,8161,260],{"className":8162,"style":291},[286,290,324],[236,8164,8166],{"className":8165},[295],[236,8167,8169,8189],{"className":8168},[299,300],[236,8170,8172,8186],{"className":8171},[304],[236,8173,8175],{"className":8174,"style":4660},[308],[236,8176,8177,8180],{"style":754},[236,8178],{"className":8179,"style":758},[316],[236,8181,8183],{"className":8182},[321,762,763,324],[236,8184,1408],{"className":8185},[286,290,324],[236,8187,333],{"className":8188},[332],[236,8190,8192],{"className":8191},[304],[236,8193,8195],{"className":8194,"style":776},[308],[236,8196],{},[236,8198,371],{"className":8199},[442,324],[236,8201,8203,8206],{"className":8202},[286,324],[236,8204,260],{"className":8205,"style":291},[286,290,324],[236,8207,8209],{"className":8208},[295],[236,8210,8212,8232],{"className":8211},[299,300],[236,8213,8215,8229],{"className":8214},[304],[236,8216,8218],{"className":8217,"style":800},[308],[236,8219,8220,8223],{"style":803},[236,8221],{"className":8222,"style":758},[316],[236,8224,8226],{"className":8225},[321,762,763,324],[236,8227,263],{"className":8228,"style":328},[286,290,324],[236,8230,333],{"className":8231},[332],[236,8233,8235],{"className":8234},[304],[236,8236,8238],{"className":8237,"style":822},[308],[236,8239],{},[236,8241,563],{"className":8242},[828,324],[236,8244,567],{"className":8245},[286,324],[236,8247,570],{"className":8248,"style":835},[286,290,324],[236,8250,573],{"className":8251,"style":328},[286,290,324],[345,8253,8254],{},"These two are very important relations.",[1097,8256,8257,8262,8297,8331,8337,8343,8349,8355,8474],{},[345,8258,8259],{},[4073,8260,8261],{},"Summary: Important Terminology",[345,8263,8264,8267,8268,8296],{},[4073,8265,8266],{},"donor:"," impurity atom that increases ",[236,8269,8271,8284],{"className":8270},[239],[236,8272,8274],{"className":8273},[243],[245,8275,8276],{"xmlns":247},[249,8277,8278,8282],{},[252,8279,8280],{},[258,8281,522],{},[265,8283,522],{"encoding":267},[236,8285,8287],{"className":8286,"ariaHidden":273},[272],[236,8288,8290,8293],{"className":8289},[277],[236,8291],{"className":8292,"style":632},[281],[236,8294,522],{"className":8295},[286,290],", for example Group-V elements",[345,8298,8299,8267,8302,8330],{},[4073,8300,8301],{},"acceptor:",[236,8303,8305,8318],{"className":8304},[239],[236,8306,8308],{"className":8307},[243],[245,8309,8310],{"xmlns":247},[249,8311,8312,8316],{},[252,8313,8314],{},[258,8315,345],{},[265,8317,345],{"encoding":267},[236,8319,8321],{"className":8320,"ariaHidden":273},[272],[236,8322,8324,8327],{"className":8323},[277],[236,8325],{"className":8326,"style":1583},[281],[236,8328,345],{"className":8329},[286,290],", for example Group-III elements",[345,8332,8333,8336],{},[4073,8334,8335],{},"n-type material:"," contains more electrons than holes",[345,8338,8339,8342],{},[4073,8340,8341],{},"p-type material:"," contains more holes than electrons",[345,8344,8345,8348],{},[4073,8346,8347],{},"majority carrier:"," the most abundant carrier",[345,8350,8351,8354],{},[4073,8352,8353],{},"minority carrier:"," the least abundant carrier",[345,8356,8357,8360,8361],{},[4073,8358,8359],{},"intrinsic semiconductor:"," ",[236,8362,8364,8389],{"className":8363},[239],[236,8365,8367],{"className":8366},[243],[245,8368,8369],{"xmlns":247},[249,8370,8371,8387],{},[252,8372,8373,8375,8377,8379,8381],{},[258,8374,522],{},[369,8376,525],{},[258,8378,345],{},[369,8380,525],{},[255,8382,8383,8385],{},[258,8384,522],{},[258,8386,1408],{},[265,8388,4105],{"encoding":267},[236,8390,8392,8410,8428],{"className":8391,"ariaHidden":273},[272],[236,8393,8395,8398,8401,8404,8407],{"className":8394},[277],[236,8396],{"className":8397,"style":632},[281],[236,8399,522],{"className":8400},[286,290],[236,8402],{"className":8403,"style":639},[437],[236,8405,525],{"className":8406},[643],[236,8408],{"className":8409,"style":639},[437],[236,8411,8413,8416,8419,8422,8425],{"className":8412},[277],[236,8414],{"className":8415,"style":1583},[281],[236,8417,345],{"className":8418},[286,290],[236,8420],{"className":8421,"style":639},[437],[236,8423,525],{"className":8424},[643],[236,8426],{"className":8427,"style":639},[437],[236,8429,8431,8434],{"className":8430},[277],[236,8432],{"className":8433,"style":3957},[281],[236,8435,8437,8440],{"className":8436},[286],[236,8438,522],{"className":8439},[286,290],[236,8441,8443],{"className":8442},[295],[236,8444,8446,8466],{"className":8445},[299,300],[236,8447,8449,8463],{"className":8448},[304],[236,8450,8452],{"className":8451,"style":1439},[308],[236,8453,8454,8457],{"style":3715},[236,8455],{"className":8456,"style":317},[316],[236,8458,8460],{"className":8459},[321,322,323,324],[236,8461,1408],{"className":8462},[286,290,324],[236,8464,333],{"className":8465},[332],[236,8467,8469],{"className":8468},[304],[236,8470,8472],{"className":8471,"style":340},[308],[236,8473],{},[345,8475,8476,8479,8480],{},[4073,8477,8478],{},"extrinsic semiconductor:"," doped semiconductor, ",[236,8481,8483,8510],{"className":8482},[239],[236,8484,8486],{"className":8485},[243],[245,8487,8488],{"xmlns":247},[249,8489,8490,8507],{},[252,8491,8492,8494,8497,8499,8501],{},[258,8493,522],{},[369,8495,8496],{"mathvariant":566},"≠",[258,8498,345],{},[369,8500,8496],{"mathvariant":566},[255,8502,8503,8505],{},[258,8504,522],{},[258,8506,1408],{},[265,8508,8509],{"encoding":267},"n \\ne p \\ne n_i",[236,8511,8513,8572,8623],{"className":8512,"ariaHidden":273},[272],[236,8514,8516,8520,8523,8526,8569],{"className":8515},[277],[236,8517],{"className":8518,"style":8519},[281],"height:0.8889em;vertical-align:-0.1944em;",[236,8521,522],{"className":8522},[286,290],[236,8524],{"className":8525,"style":639},[437],[236,8527,8529,8562,8566],{"className":8528},[643],[236,8530,8532],{"className":8531},[643],[236,8533,8536],{"className":8534},[286,8535],"vbox",[236,8537,8540],{"className":8538},[8539],"thinbox",[236,8541,8544,8547,8558],{"className":8542},[8543],"rlap",[236,8545],{"className":8546,"style":8519},[281],[236,8548,8551],{"className":8549},[8550],"inner",[236,8552,8554],{"className":8553},[286],[236,8555,8557],{"className":8556},[643],"",[236,8559],{"className":8560},[8561],"fix",[236,8563],{"className":8564},[437,8565],"nobreak",[236,8567,525],{"className":8568},[643],[236,8570],{"className":8571,"style":639},[437],[236,8573,8575,8578,8581,8584,8620],{"className":8574},[277],[236,8576],{"className":8577,"style":8519},[281],[236,8579,345],{"className":8580},[286,290],[236,8582],{"className":8583,"style":639},[437],[236,8585,8587,8614,8617],{"className":8586},[643],[236,8588,8590],{"className":8589},[643],[236,8591,8593],{"className":8592},[286,8535],[236,8594,8596],{"className":8595},[8539],[236,8597,8599,8602,8611],{"className":8598},[8543],[236,8600],{"className":8601,"style":8519},[281],[236,8603,8605],{"className":8604},[8550],[236,8606,8608],{"className":8607},[286],[236,8609,8557],{"className":8610},[643],[236,8612],{"className":8613},[8561],[236,8615],{"className":8616},[437,8565],[236,8618,525],{"className":8619},[643],[236,8621],{"className":8622,"style":639},[437],[236,8624,8626,8629],{"className":8625},[277],[236,8627],{"className":8628,"style":3957},[281],[236,8630,8632,8635],{"className":8631},[286],[236,8633,522],{"className":8634},[286,290],[236,8636,8638],{"className":8637},[295],[236,8639,8641,8661],{"className":8640},[299,300],[236,8642,8644,8658],{"className":8643},[304],[236,8645,8647],{"className":8646,"style":1439},[308],[236,8648,8649,8652],{"style":3715},[236,8650],{"className":8651,"style":317},[316],[236,8653,8655],{"className":8654},[321,322,323,324],[236,8656,1408],{"className":8657},[286,290,324],[236,8659,333],{"className":8660},[332],[236,8662,8664],{"className":8663},[304],[236,8665,8667],{"className":8666,"style":340},[308],[236,8668],{},[231,8670,8672],{"id":8671},"nondegenerately-doped-semiconductor-非简并半导体","Nondegenerately Doped Semiconductor ｜ 非简并半导体",[345,8674,8675,8678,8679,8682],{},[4073,8676,8677],{},"Non","degenerately doped: ",[4073,8680,8681],{},"not very heavily doped",".",[345,8684,8685,8688,8689],{},[4073,8686,8687],{},"经验判据","：",[236,8690,8692,8743],{"className":8691},[239],[236,8693,8695],{"className":8694},[243],[245,8696,8697],{"xmlns":247},[249,8698,8699,8740],{},[252,8700,8701,8707,8709,8711,8713,8715,8718,8724,8726,8732,8734,8736,8738],{},[255,8702,8703,8705],{},[258,8704,260],{},[258,8706,1261],{},[369,8708,2083],{},[2091,8710,2682],{},[258,8712,570],{},[258,8714,573],{},[369,8716,8717],{},"≤",[255,8719,8720,8722],{},[258,8721,260],{},[258,8723,263],{},[369,8725,8717],{},[255,8727,8728,8730],{},[258,8729,260],{},[258,8731,532],{},[369,8733,371],{},[2091,8735,2682],{},[258,8737,570],{},[258,8739,573],{},[265,8741,8742],{"encoding":267},"E_v + 3kT \\le E_F \\le E_c - 3kT",[236,8744,8746,8801,8826,8881,8936],{"className":8745,"ariaHidden":273},[272],[236,8747,8749,8752,8792,8795,8798],{"className":8748},[277],[236,8750],{"className":8751,"style":282},[281],[236,8753,8755,8758],{"className":8754},[286],[236,8756,260],{"className":8757,"style":291},[286,290],[236,8759,8761],{"className":8760},[295],[236,8762,8764,8784],{"className":8763},[299,300],[236,8765,8767,8781],{"className":8766},[304],[236,8768,8770],{"className":8769,"style":672},[308],[236,8771,8772,8775],{"style":312},[236,8773],{"className":8774,"style":317},[316],[236,8776,8778],{"className":8777},[321,322,323,324],[236,8779,1261],{"className":8780,"style":1303},[286,290,324],[236,8782,333],{"className":8783},[332],[236,8785,8787],{"className":8786},[304],[236,8788,8790],{"className":8789,"style":340},[308],[236,8791],{},[236,8793],{"className":8794,"style":438},[437],[236,8796,2083],{"className":8797},[442],[236,8799],{"className":8800,"style":438},[437],[236,8802,8804,8808,8811,8814,8817,8820,8823],{"className":8803},[277],[236,8805],{"className":8806,"style":8807},[281],"height:0.8304em;vertical-align:-0.136em;",[236,8809,2682],{"className":8810},[286],[236,8812,570],{"className":8813,"style":835},[286,290],[236,8815,573],{"className":8816,"style":328},[286,290],[236,8818],{"className":8819,"style":639},[437],[236,8821,8717],{"className":8822},[643],[236,8824],{"className":8825,"style":639},[437],[236,8827,8829,8832,8872,8875,8878],{"className":8828},[277],[236,8830],{"className":8831,"style":282},[281],[236,8833,8835,8838],{"className":8834},[286],[236,8836,260],{"className":8837,"style":291},[286,290],[236,8839,8841],{"className":8840},[295],[236,8842,8844,8864],{"className":8843},[299,300],[236,8845,8847,8861],{"className":8846},[304],[236,8848,8850],{"className":8849,"style":309},[308],[236,8851,8852,8855],{"style":312},[236,8853],{"className":8854,"style":317},[316],[236,8856,8858],{"className":8857},[321,322,323,324],[236,8859,263],{"className":8860,"style":328},[286,290,324],[236,8862,333],{"className":8863},[332],[236,8865,8867],{"className":8866},[304],[236,8868,8870],{"className":8869,"style":340},[308],[236,8871],{},[236,8873],{"className":8874,"style":639},[437],[236,8876,8717],{"className":8877},[643],[236,8879],{"className":8880,"style":639},[437],[236,8882,8884,8887,8927,8930,8933],{"className":8883},[277],[236,8885],{"className":8886,"style":282},[281],[236,8888,8890,8893],{"className":8889},[286],[236,8891,260],{"className":8892,"style":291},[286,290],[236,8894,8896],{"className":8895},[295],[236,8897,8899,8919],{"className":8898},[299,300],[236,8900,8902,8916],{"className":8901},[304],[236,8903,8905],{"className":8904,"style":672},[308],[236,8906,8907,8910],{"style":312},[236,8908],{"className":8909,"style":317},[316],[236,8911,8913],{"className":8912},[321,322,323,324],[236,8914,532],{"className":8915},[286,290,324],[236,8917,333],{"className":8918},[332],[236,8920,8922],{"className":8921},[304],[236,8923,8925],{"className":8924,"style":340},[308],[236,8926],{},[236,8928],{"className":8929,"style":438},[437],[236,8931,371],{"className":8932},[442],[236,8934],{"className":8935,"style":438},[437],[236,8937,8939,8943,8946,8949],{"className":8938},[277],[236,8940],{"className":8941,"style":8942},[281],"height:0.6944em;",[236,8944,2682],{"className":8945},[286],[236,8947,570],{"className":8948,"style":835},[286,290],[236,8950,573],{"className":8951,"style":328},[286,290],[345,8953,8954],{},[496,8955],{"alt":8956,"src":8957},"Nondegenerately doped","\u002Fimg\u002FMicroelectronicDevices\u002FLecture3-02.png",[231,8959,8961],{"id":8960},"degenerately-doped-semiconductor-简并半导体","Degenerately Doped Semiconductor ｜ 简并半导体",[345,8963,8964,8965,8968],{},"If ",[4073,8966,8967],{},"a semiconductor is very heavily doped",", the Boltzmann approximation is not valid.",[345,8970,8971],{},[496,8972],{"alt":8973,"src":8974},"Degenerately doped","\u002Fimg\u002FMicroelectronicDevices\u002FLecture3-03.png",[345,8976,8977],{},"Terminology:",[8979,8980,8981,9153],"ul",{},[8982,8983,8984,8985,8360,9016,4076,9019],"li",{},"\"n+\" ",[236,8986,8988,9003],{"className":8987},[239],[236,8989,8991],{"className":8990},[243],[245,8992,8993],{"xmlns":247},[249,8994,8995,9000],{},[252,8996,8997],{},[369,8998,8999],{},"→",[265,9001,9002],{"encoding":267},"\\rightarrow",[236,9004,9006],{"className":9005,"ariaHidden":273},[272],[236,9007,9009,9013],{"className":9008},[277],[236,9010],{"className":9011,"style":9012},[281],"height:0.3669em;",[236,9014,8999],{"className":9015},[643],[4073,9017,9018],{},"degenerately n-type doped",[236,9020,9022,9049],{"className":9021},[239],[236,9023,9025],{"className":9024},[243],[245,9026,9027],{"xmlns":247},[249,9028,9029,9046],{},[252,9030,9031,9037,9040],{},[255,9032,9033,9035],{},[258,9034,260],{},[258,9036,263],{},[369,9038,9039],{},"≅",[255,9041,9042,9044],{},[258,9043,260],{},[258,9045,532],{},[265,9047,9048],{"encoding":267},"E_F \\cong E_c",[236,9050,9052,9107],{"className":9051,"ariaHidden":273},[272],[236,9053,9055,9058,9098,9101,9104],{"className":9054},[277],[236,9056],{"className":9057,"style":282},[281],[236,9059,9061,9064],{"className":9060},[286],[236,9062,260],{"className":9063,"style":291},[286,290],[236,9065,9067],{"className":9066},[295],[236,9068,9070,9090],{"className":9069},[299,300],[236,9071,9073,9087],{"className":9072},[304],[236,9074,9076],{"className":9075,"style":309},[308],[236,9077,9078,9081],{"style":312},[236,9079],{"className":9080,"style":317},[316],[236,9082,9084],{"className":9083},[321,322,323,324],[236,9085,263],{"className":9086,"style":328},[286,290,324],[236,9088,333],{"className":9089},[332],[236,9091,9093],{"className":9092},[304],[236,9094,9096],{"className":9095,"style":340},[308],[236,9097],{},[236,9099],{"className":9100,"style":639},[437],[236,9102,9039],{"className":9103},[643],[236,9105],{"className":9106,"style":639},[437],[236,9108,9110,9113],{"className":9109},[277],[236,9111],{"className":9112,"style":282},[281],[236,9114,9116,9119],{"className":9115},[286],[236,9117,260],{"className":9118,"style":291},[286,290],[236,9120,9122],{"className":9121},[295],[236,9123,9125,9145],{"className":9124},[299,300],[236,9126,9128,9142],{"className":9127},[304],[236,9129,9131],{"className":9130,"style":672},[308],[236,9132,9133,9136],{"style":312},[236,9134],{"className":9135,"style":317},[316],[236,9137,9139],{"className":9138},[321,322,323,324],[236,9140,532],{"className":9141},[286,290,324],[236,9143,333],{"className":9144},[332],[236,9146,9148],{"className":9147},[304],[236,9149,9151],{"className":9150,"style":340},[308],[236,9152],{},[8982,9154,9155,9156,8360,9184,4076,9187],{},"\"p+\" ",[236,9157,9159,9172],{"className":9158},[239],[236,9160,9162],{"className":9161},[243],[245,9163,9164],{"xmlns":247},[249,9165,9166,9170],{},[252,9167,9168],{},[369,9169,8999],{},[265,9171,9002],{"encoding":267},[236,9173,9175],{"className":9174,"ariaHidden":273},[272],[236,9176,9178,9181],{"className":9177},[277],[236,9179],{"className":9180,"style":9012},[281],[236,9182,8999],{"className":9183},[643],[4073,9185,9186],{},"degenerately p-type doped",[236,9188,9190,9216],{"className":9189},[239],[236,9191,9193],{"className":9192},[243],[245,9194,9195],{"xmlns":247},[249,9196,9197,9213],{},[252,9198,9199,9205,9207],{},[255,9200,9201,9203],{},[258,9202,260],{},[258,9204,263],{},[369,9206,9039],{},[255,9208,9209,9211],{},[258,9210,260],{},[258,9212,1261],{},[265,9214,9215],{"encoding":267},"E_F \\cong E_v",[236,9217,9219,9274],{"className":9218,"ariaHidden":273},[272],[236,9220,9222,9225,9265,9268,9271],{"className":9221},[277],[236,9223],{"className":9224,"style":282},[281],[236,9226,9228,9231],{"className":9227},[286],[236,9229,260],{"className":9230,"style":291},[286,290],[236,9232,9234],{"className":9233},[295],[236,9235,9237,9257],{"className":9236},[299,300],[236,9238,9240,9254],{"className":9239},[304],[236,9241,9243],{"className":9242,"style":309},[308],[236,9244,9245,9248],{"style":312},[236,9246],{"className":9247,"style":317},[316],[236,9249,9251],{"className":9250},[321,322,323,324],[236,9252,263],{"className":9253,"style":328},[286,290,324],[236,9255,333],{"className":9256},[332],[236,9258,9260],{"className":9259},[304],[236,9261,9263],{"className":9262,"style":340},[308],[236,9264],{},[236,9266],{"className":9267,"style":639},[437],[236,9269,9039],{"className":9270},[643],[236,9272],{"className":9273,"style":639},[437],[236,9275,9277,9280],{"className":9276},[277],[236,9278],{"className":9279,"style":282},[281],[236,9281,9283,9286],{"className":9282},[286],[236,9284,260],{"className":9285,"style":291},[286,290],[236,9287,9289],{"className":9288},[295],[236,9290,9292,9312],{"className":9291},[299,300],[236,9293,9295,9309],{"className":9294},[304],[236,9296,9298],{"className":9297,"style":672},[308],[236,9299,9300,9303],{"style":312},[236,9301],{"className":9302,"style":317},[316],[236,9304,9306],{"className":9305},[321,322,323,324],[236,9307,1261],{"className":9308,"style":1303},[286,290,324],[236,9310,333],{"className":9311},[332],[236,9313,9315],{"className":9314},[304],[236,9316,9318],{"className":9317,"style":340},[308],[236,9319],{},[231,9321,9323],{"id":9322},"band-gap-narrowing-带隙变窄","Band Gap Narrowing ｜ 带隙变窄",[345,9325,9326,9327,1587],{},"If the dopant concentration is a significant fraction of the silicon atomic density, the energy-band structure is perturbed and the band gap is reduced by ",[236,9328,9330,9352],{"className":9329},[239],[236,9331,9333],{"className":9332},[243],[245,9334,9335],{"xmlns":247},[249,9336,9337,9349],{},[252,9338,9339,9342],{},[258,9340,9341],{"mathvariant":566},"Δ",[255,9343,9344,9346],{},[258,9345,260],{},[258,9347,9348],{},"G",[265,9350,9351],{"encoding":267},"\\Delta E_G",[236,9353,9355],{"className":9354,"ariaHidden":273},[272],[236,9356,9358,9361,9364],{"className":9357},[277],[236,9359],{"className":9360,"style":282},[281],[236,9362,9341],{"className":9363},[286],[236,9365,9367,9370],{"className":9366},[286],[236,9368,260],{"className":9369,"style":291},[286,290],[236,9371,9373],{"className":9372},[295],[236,9374,9376,9396],{"className":9375},[299,300],[236,9377,9379,9393],{"className":9378},[304],[236,9380,9382],{"className":9381,"style":309},[308],[236,9383,9384,9387],{"style":312},[236,9385],{"className":9386,"style":317},[316],[236,9388,9390],{"className":9389},[321,322,323,324],[236,9391,9348],{"className":9392},[286,290,324],[236,9394,333],{"className":9395},[332],[236,9397,9399],{"className":9398},[304],[236,9400,9402],{"className":9401,"style":340},[308],[236,9403],{},[236,9405,9407],{"className":9406},[506],[236,9408,9410,9476],{"className":9409},[239],[236,9411,9413],{"className":9412},[243],[245,9414,9415],{"xmlns":247,"display":515},[249,9416,9417,9473],{},[252,9418,9419,9421,9427,9429,9432,9435,9447,9450,9463],{},[258,9420,9341],{"mathvariant":566},[255,9422,9423,9425],{},[258,9424,260],{},[258,9426,9348],{},[369,9428,9039],{},[2091,9430,9431],{},"3.5",[369,9433,9434],{},"×",[534,9436,9437,9440],{},[2091,9438,9439],{},"10",[252,9441,9442,9444],{},[369,9443,371],{},[2091,9445,9446],{},"8",[575,9448,9449],{}," ",[534,9451,9452,9454],{},[258,9453,364],{},[252,9455,9456,9459,9461],{},[2091,9457,9458],{},"1",[258,9460,567],{"mathvariant":566},[2091,9462,2682],{},[9464,9465,9466],"msqrt",{},[610,9467,9468,9471],{},[2091,9469,9470],{},"300",[258,9472,573],{},[265,9474,9475],{"encoding":267},"\\Delta E_G \\cong 3.5 \\times 10^{-8}\\, N^{1\u002F3} \\sqrt{\\frac{300}{T}}",[236,9477,9479,9537,9556],{"className":9478,"ariaHidden":273},[272],[236,9480,9482,9485,9488,9528,9531,9534],{"className":9481},[277],[236,9483],{"className":9484,"style":282},[281],[236,9486,9341],{"className":9487},[286],[236,9489,9491,9494],{"className":9490},[286],[236,9492,260],{"className":9493,"style":291},[286,290],[236,9495,9497],{"className":9496},[295],[236,9498,9500,9520],{"className":9499},[299,300],[236,9501,9503,9517],{"className":9502},[304],[236,9504,9506],{"className":9505,"style":309},[308],[236,9507,9508,9511],{"style":312},[236,9509],{"className":9510,"style":317},[316],[236,9512,9514],{"className":9513},[321,322,323,324],[236,9515,9348],{"className":9516},[286,290,324],[236,9518,333],{"className":9519},[332],[236,9521,9523],{"className":9522},[304],[236,9524,9526],{"className":9525,"style":340},[308],[236,9527],{},[236,9529],{"className":9530,"style":639},[437],[236,9532,9039],{"className":9533},[643],[236,9535],{"className":9536,"style":639},[437],[236,9538,9540,9544,9547,9550,9553],{"className":9539},[277],[236,9541],{"className":9542,"style":9543},[281],"height:0.7278em;vertical-align:-0.0833em;",[236,9545,9431],{"className":9546},[286],[236,9548],{"className":9549,"style":438},[437],[236,9551,9434],{"className":9552},[442],[236,9554],{"className":9555,"style":438},[437],[236,9557,9559,9563,9566,9602,9605,9638],{"className":9558},[277],[236,9560],{"className":9561,"style":9562},[281],"height:2.44em;vertical-align:-0.7884em;",[236,9564,9458],{"className":9565},[286],[236,9567,9569,9572],{"className":9568},[286],[236,9570,3403],{"className":9571},[286],[236,9573,9575],{"className":9574},[295],[236,9576,9578],{"className":9577},[299],[236,9579,9581],{"className":9580},[304],[236,9582,9585],{"className":9583,"style":9584},[308],"height:0.8641em;",[236,9586,9587,9590],{"style":716},[236,9588],{"className":9589,"style":317},[316],[236,9591,9593],{"className":9592},[321,322,323,324],[236,9594,9596,9599],{"className":9595},[286,324],[236,9597,371],{"className":9598},[286,324],[236,9600,9446],{"className":9601},[286,324],[236,9603],{"className":9604,"style":980},[437],[236,9606,9608,9611],{"className":9607},[286],[236,9609,364],{"className":9610,"style":397},[286,290],[236,9612,9614],{"className":9613},[295],[236,9615,9617],{"className":9616},[299],[236,9618,9620],{"className":9619},[304],[236,9621,9623],{"className":9622,"style":713},[308],[236,9624,9625,9628],{"style":716},[236,9626],{"className":9627,"style":317},[316],[236,9629,9631],{"className":9630},[321,322,323,324],[236,9632,9634],{"className":9633},[286,324],[236,9635,9637],{"className":9636},[286,324],"1\u002F3",[236,9639,9642],{"className":9640},[286,9641],"sqrt",[236,9643,9645,9754],{"className":9644},[299,300],[236,9646,9648,9751],{"className":9647},[304],[236,9649,9652,9728],{"className":9650,"style":9651},[308],"height:1.6516em;",[236,9653,9657,9661],{"className":9654,"style":9656},[9655],"svg-align","top:-4.4em;",[236,9658],{"className":9659,"style":9660},[316],"height:4.4em;",[236,9662,9665],{"className":9663,"style":9664},[286],"padding-left:1em;",[236,9666,9668,9671,9725],{"className":9667},[286],[236,9669],{"className":9670},[732,994],[236,9672,9674],{"className":9673},[610],[236,9675,9677,9717],{"className":9676},[299,300],[236,9678,9680,9714],{"className":9679},[304],[236,9681,9684,9695,9703],{"className":9682,"style":9683},[308],"height:1.3214em;",[236,9685,9686,9689],{"style":1010},[236,9687],{"className":9688,"style":1014},[316],[236,9690,9692],{"className":9691},[286],[236,9693,573],{"className":9694,"style":328},[286,290],[236,9696,9697,9700],{"style":1023},[236,9698],{"className":9699,"style":1014},[316],[236,9701],{"className":9702,"style":1031},[1030],[236,9704,9705,9708],{"style":1034},[236,9706],{"className":9707,"style":1014},[316],[236,9709,9711],{"className":9710},[286],[236,9712,9470],{"className":9713},[286],[236,9715,333],{"className":9716},[332],[236,9718,9720],{"className":9719},[304],[236,9721,9723],{"className":9722,"style":1090},[308],[236,9724],{},[236,9726],{"className":9727},[828,994],[236,9729,9731,9734],{"style":9730},"top:-3.6116em;",[236,9732],{"className":9733,"style":9660},[316],[236,9735,9739],{"className":9736,"style":9738},[9737],"hide-tail","min-width:1.02em;height:2.48em;",[9740,9741,9747],"svg",{"xmlns":9742,"width":9743,"height":9744,"viewBox":9745,"preserveAspectRatio":9746},"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg","400em","2.48em","0 0 400000 2592","xMinYMin slice",[9748,9749],"path",{"d":9750},"M424,2478\nc-1.3,-0.7,-38.5,-172,-111.5,-514c-73,-342,-109.8,-513.3,-110.5,-514\nc0,-2,-10.7,14.3,-32,49c-4.7,7.3,-9.8,15.7,-15.5,25c-5.7,9.3,-9.8,16,-12.5,20\ns-5,7,-5,7c-4,-3.3,-8.3,-7.7,-13,-13s-13,-13,-13,-13s76,-122,76,-122s77,-121,77,-121\ns209,968,209,968c0,-2,84.7,-361.7,254,-1079c169.3,-717.3,254.7,-1077.7,256,-1081\nl0 -0c4,-6.7,10,-10,18,-10 H400000\nv40H1014.6\ns-87.3,378.7,-272.6,1166c-185.3,787.3,-279.3,1182.3,-282,1185\nc-2,6,-10,9,-24,9\nc-8,0,-12,-0.7,-12,-2z M1001 80\nh400000v40h-400000z",[236,9752,333],{"className":9753},[332],[236,9755,9757],{"className":9756},[304],[236,9758,9761],{"className":9759,"style":9760},[308],"height:0.7884em;",[236,9762],{},[345,9764,9765],{},[496,9766],{"alt":9767,"src":9768},"Band gap narrowing","\u002Fimg\u002FMicroelectronicDevices\u002FLecture3-04.png",[345,9770,9771,9772,9805,9806,8360,9875,9878,9879,8360,9948,9951,9952,9955],{},"当",[4073,9773,9774,9775,9804],{},"掺杂浓度 ",[236,9776,9778,9791],{"className":9777},[239],[236,9779,9781],{"className":9780},[243],[245,9782,9783],{"xmlns":247},[249,9784,9785,9789],{},[252,9786,9787],{},[258,9788,364],{},[265,9790,364],{"encoding":267},[236,9792,9794],{"className":9793,"ariaHidden":273},[272],[236,9795,9797,9801],{"className":9796},[277],[236,9798],{"className":9799,"style":9800},[281],"height:0.6833em;",[236,9802,364],{"className":9803,"style":397},[286,290],"（施主或受主）高到接近晶体本征原子密度的一小部分","时，杂质带与本征能带发生明显相互作用；同时强电荷屏蔽、交换-相关多体效应会把导带底 ",[236,9807,9809,9826],{"className":9808},[239],[236,9810,9812],{"className":9811},[243],[245,9813,9814],{"xmlns":247},[249,9815,9816,9824],{},[252,9817,9818],{},[255,9819,9820,9822],{},[258,9821,260],{},[258,9823,532],{},[265,9825,1192],{"encoding":267},[236,9827,9829],{"className":9828,"ariaHidden":273},[272],[236,9830,9832,9835],{"className":9831},[277],[236,9833],{"className":9834,"style":282},[281],[236,9836,9838,9841],{"className":9837},[286],[236,9839,260],{"className":9840,"style":291},[286,290],[236,9842,9844],{"className":9843},[295],[236,9845,9847,9867],{"className":9846},[299,300],[236,9848,9850,9864],{"className":9849},[304],[236,9851,9853],{"className":9852,"style":672},[308],[236,9854,9855,9858],{"style":312},[236,9856],{"className":9857,"style":317},[316],[236,9859,9861],{"className":9860},[321,322,323,324],[236,9862,532],{"className":9863},[286,290,324],[236,9865,333],{"className":9866},[332],[236,9868,9870],{"className":9869},[304],[236,9871,9873],{"className":9872,"style":340},[308],[236,9874],{},[4073,9876,9877],{},"下拉","、价带顶 ",[236,9880,9882,9899],{"className":9881},[239],[236,9883,9885],{"className":9884},[243],[245,9886,9887],{"xmlns":247},[249,9888,9889,9897],{},[252,9890,9891],{},[255,9892,9893,9895],{},[258,9894,260],{},[258,9896,1261],{},[265,9898,1264],{"encoding":267},[236,9900,9902],{"className":9901,"ariaHidden":273},[272],[236,9903,9905,9908],{"className":9904},[277],[236,9906],{"className":9907,"style":282},[281],[236,9909,9911,9914],{"className":9910},[286],[236,9912,260],{"className":9913,"style":291},[286,290],[236,9915,9917],{"className":9916},[295],[236,9918,9920,9940],{"className":9919},[299,300],[236,9921,9923,9937],{"className":9922},[304],[236,9924,9926],{"className":9925,"style":672},[308],[236,9927,9928,9931],{"style":312},[236,9929],{"className":9930,"style":317},[316],[236,9932,9934],{"className":9933},[321,322,323,324],[236,9935,1261],{"className":9936,"style":1303},[286,290,324],[236,9938,333],{"className":9939},[332],[236,9941,9943],{"className":9942},[304],[236,9944,9946],{"className":9945,"style":340},[308],[236,9947],{},[4073,9949,9950],{},"上推","，于是",[4073,9953,9954],{},"有效带隙","变小。",[1097,9957,9958],{},[345,9959,9960],{},"掺杂越多、温度越低，收缩越强。这个公式可以抄一下，感觉看公式就可以理解了。",[231,9962,9964],{"id":9963},"dopant-ionization-杂质电离","Dopant Ionization ｜ 杂质电离",[345,9966,9967],{},"不是重点，上课应该没怎么提，看一下就行。",[345,9969,9970],{},[496,9971],{"alt":9972,"src":9973},"Dopant ionization","\u002Fimg\u002FMicroelectronicDevices\u002FLecture3-05.png",[1097,9975,9976,9979,10474,10689,11133,11136],{},[345,9977,9978],{},"计算过程：",[345,9980,9981,9982,10302,10303,492],{},"先假设完全电离（非简并），求费米能级的位置：由 ",[236,9983,9985,10048],{"className":9984},[239],[236,9986,9988],{"className":9987},[243],[245,9989,9990],{"xmlns":247},[249,9991,9992,10045],{},[252,9993,9994,9996,9998,10005,10007,10013],{},[258,9995,522],{},[369,9997,525],{},[255,9999,10000,10002],{},[258,10001,364],{},[258,10003,10004],{},"d",[369,10006,525],{},[255,10008,10009,10011],{},[258,10010,364],{},[258,10012,532],{},[534,10014,10015,10017],{},[258,10016,538],{},[252,10018,10019,10021,10023,10029,10031,10037,10039,10041,10043],{},[369,10020,371],{},[369,10022,546],{"stretchy":545},[255,10024,10025,10027],{},[258,10026,260],{},[258,10028,532],{},[369,10030,371],{},[255,10032,10033,10035],{},[258,10034,260],{},[258,10036,263],{},[369,10038,563],{"stretchy":545},[258,10040,567],{"mathvariant":566},[258,10042,570],{},[258,10044,573],{},[265,10046,10047],{"encoding":267},"n = N_d = N_c e^{-(E_c - E_F)\u002FkT}",[236,10049,10051,10069,10125],{"className":10050,"ariaHidden":273},[272],[236,10052,10054,10057,10060,10063,10066],{"className":10053},[277],[236,10055],{"className":10056,"style":632},[281],[236,10058,522],{"className":10059},[286,290],[236,10061],{"className":10062,"style":639},[437],[236,10064,525],{"className":10065},[643],[236,10067],{"className":10068,"style":639},[437],[236,10070,10072,10075,10116,10119,10122],{"className":10071},[277],[236,10073],{"className":10074,"style":282},[281],[236,10076,10078,10081],{"className":10077},[286],[236,10079,364],{"className":10080,"style":397},[286,290],[236,10082,10084],{"className":10083},[295],[236,10085,10087,10108],{"className":10086},[299,300],[236,10088,10090,10105],{"className":10089},[304],[236,10091,10094],{"className":10092,"style":10093},[308],"height:0.3361em;",[236,10095,10096,10099],{"style":412},[236,10097],{"className":10098,"style":317},[316],[236,10100,10102],{"className":10101},[321,322,323,324],[236,10103,10004],{"className":10104},[286,290,324],[236,10106,333],{"className":10107},[332],[236,10109,10111],{"className":10110},[304],[236,10112,10114],{"className":10113,"style":340},[308],[236,10115],{},[236,10117],{"className":10118,"style":639},[437],[236,10120,525],{"className":10121},[643],[236,10123],{"className":10124,"style":639},[437],[236,10126,10128,10132,10172],{"className":10127},[277],[236,10129],{"className":10130,"style":10131},[281],"height:1.038em;vertical-align:-0.15em;",[236,10133,10135,10138],{"className":10134},[286],[236,10136,364],{"className":10137,"style":397},[286,290],[236,10139,10141],{"className":10140},[295],[236,10142,10144,10164],{"className":10143},[299,300],[236,10145,10147,10161],{"className":10146},[304],[236,10148,10150],{"className":10149,"style":672},[308],[236,10151,10152,10155],{"style":412},[236,10153],{"className":10154,"style":317},[316],[236,10156,10158],{"className":10157},[321,322,323,324],[236,10159,532],{"className":10160},[286,290,324],[236,10162,333],{"className":10163},[332],[236,10165,10167],{"className":10166},[304],[236,10168,10170],{"className":10169,"style":340},[308],[236,10171],{},[236,10173,10175,10178],{"className":10174},[286],[236,10176,538],{"className":10177},[286,290],[236,10179,10181],{"className":10180},[295],[236,10182,10184],{"className":10183},[299],[236,10185,10187],{"className":10186},[304],[236,10188,10190],{"className":10189,"style":6155},[308],[236,10191,10192,10195],{"style":3177},[236,10193],{"className":10194,"style":317},[316],[236,10196,10198],{"className":10197},[321,322,323,324],[236,10199,10201,10204,10207,10247,10250,10290,10293,10296,10299],{"className":10200},[286,324],[236,10202,371],{"className":10203},[286,324],[236,10205,546],{"className":10206},[732,324],[236,10208,10210,10213],{"className":10209},[286,324],[236,10211,260],{"className":10212,"style":291},[286,290,324],[236,10214,10216],{"className":10215},[295],[236,10217,10219,10239],{"className":10218},[299,300],[236,10220,10222,10236],{"className":10221},[304],[236,10223,10225],{"className":10224,"style":751},[308],[236,10226,10227,10230],{"style":754},[236,10228],{"className":10229,"style":758},[316],[236,10231,10233],{"className":10232},[321,762,763,324],[236,10234,532],{"className":10235},[286,290,324],[236,10237,333],{"className":10238},[332],[236,10240,10242],{"className":10241},[304],[236,10243,10245],{"className":10244,"style":776},[308],[236,10246],{},[236,10248,371],{"className":10249},[442,324],[236,10251,10253,10256],{"className":10252},[286,324],[236,10254,260],{"className":10255,"style":291},[286,290,324],[236,10257,10259],{"className":10258},[295],[236,10260,10262,10282],{"className":10261},[299,300],[236,10263,10265,10279],{"className":10264},[304],[236,10266,10268],{"className":10267,"style":800},[308],[236,10269,10270,10273],{"style":803},[236,10271],{"className":10272,"style":758},[316],[236,10274,10276],{"className":10275},[321,762,763,324],[236,10277,263],{"className":10278,"style":328},[286,290,324],[236,10280,333],{"className":10281},[332],[236,10283,10285],{"className":10284},[304],[236,10286,10288],{"className":10287,"style":822},[308],[236,10289],{},[236,10291,563],{"className":10292},[828,324],[236,10294,567],{"className":10295},[286,324],[236,10297,570],{"className":10298,"style":835},[286,290,324],[236,10300,573],{"className":10301,"style":328},[286,290,324]," 可得 ",[236,10304,10306,10342],{"className":10305},[239],[236,10307,10309],{"className":10308},[243],[245,10310,10311],{"xmlns":247},[249,10312,10313,10339],{},[252,10314,10315,10321,10323,10329,10331,10334,10336],{},[255,10316,10317,10319],{},[258,10318,260],{},[258,10320,263],{},[369,10322,525],{},[255,10324,10325,10327],{},[258,10326,260],{},[258,10328,532],{},[369,10330,371],{},[2091,10332,10333],{},"146",[575,10335,9449],{},[575,10337,10338],{},"meV",[265,10340,10341],{"encoding":267},"E_F = E_c - 146\\,\\text{meV}",[236,10343,10345,10400,10455],{"className":10344,"ariaHidden":273},[272],[236,10346,10348,10351,10391,10394,10397],{"className":10347},[277],[236,10349],{"className":10350,"style":282},[281],[236,10352,10354,10357],{"className":10353},[286],[236,10355,260],{"className":10356,"style":291},[286,290],[236,10358,10360],{"className":10359},[295],[236,10361,10363,10383],{"className":10362},[299,300],[236,10364,10366,10380],{"className":10365},[304],[236,10367,10369],{"className":10368,"style":309},[308],[236,10370,10371,10374],{"style":312},[236,10372],{"className":10373,"style":317},[316],[236,10375,10377],{"className":10376},[321,322,323,324],[236,10378,263],{"className":10379,"style":328},[286,290,324],[236,10381,333],{"className":10382},[332],[236,10384,10386],{"className":10385},[304],[236,10387,10389],{"className":10388,"style":340},[308],[236,10390],{},[236,10392],{"className":10393,"style":639},[437],[236,10395,525],{"className":10396},[643],[236,10398],{"className":10399,"style":639},[437],[236,10401,10403,10406,10446,10449,10452],{"className":10402},[277],[236,10404],{"className":10405,"style":282},[281],[236,10407,10409,10412],{"className":10408},[286],[236,10410,260],{"className":10411,"style":291},[286,290],[236,10413,10415],{"className":10414},[295],[236,10416,10418,10438],{"className":10417},[299,300],[236,10419,10421,10435],{"className":10420},[304],[236,10422,10424],{"className":10423,"style":672},[308],[236,10425,10426,10429],{"style":312},[236,10427],{"className":10428,"style":317},[316],[236,10430,10432],{"className":10431},[321,322,323,324],[236,10433,532],{"className":10434},[286,290,324],[236,10436,333],{"className":10437},[332],[236,10439,10441],{"className":10440},[304],[236,10442,10444],{"className":10443,"style":340},[308],[236,10445],{},[236,10447],{"className":10448,"style":438},[437],[236,10450,371],{"className":10451},[442],[236,10453],{"className":10454,"style":438},[437],[236,10456,10458,10461,10464,10467],{"className":10457},[277],[236,10459],{"className":10460,"style":9800},[281],[236,10462,10333],{"className":10463},[286],[236,10465],{"className":10466,"style":980},[437],[236,10468,10471],{"className":10469},[286,10470],"text",[236,10472,10338],{"className":10473},[286],[345,10475,10476,10477,10520,10521,492],{},"对于 Silicon，施主能级一般在导带下方 ",[236,10478,10480,10499],{"className":10479},[239],[236,10481,10483],{"className":10482},[243],[245,10484,10485],{"xmlns":247},[249,10486,10487,10496],{},[252,10488,10489,10492,10494],{},[2091,10490,10491],{},"45",[575,10493,9449],{},[575,10495,10338],{},[265,10497,10498],{"encoding":267},"45\\,\\text{meV}",[236,10500,10502],{"className":10501,"ariaHidden":273},[272],[236,10503,10505,10508,10511,10514],{"className":10504},[277],[236,10506],{"className":10507,"style":9800},[281],[236,10509,10491],{"className":10510},[286],[236,10512],{"className":10513,"style":980},[437],[236,10515,10517],{"className":10516},[286,10470],[236,10518,10338],{"className":10519},[286],"，所以有 ",[236,10522,10524,10558],{"className":10523},[239],[236,10525,10527],{"className":10526},[243],[245,10528,10529],{"xmlns":247},[249,10530,10531,10555],{},[252,10532,10533,10539,10541,10547,10549,10551,10553],{},[255,10534,10535,10537],{},[258,10536,260],{},[258,10538,532],{},[369,10540,371],{},[255,10542,10543,10545],{},[258,10544,260],{},[258,10546,10004],{},[369,10548,525],{},[2091,10550,10491],{},[575,10552,9449],{},[575,10554,10338],{},[265,10556,10557],{"encoding":267},"E_c - E_d = 45\\,\\text{meV}",[236,10559,10561,10616,10671],{"className":10560,"ariaHidden":273},[272],[236,10562,10564,10567,10607,10610,10613],{"className":10563},[277],[236,10565],{"className":10566,"style":282},[281],[236,10568,10570,10573],{"className":10569},[286],[236,10571,260],{"className":10572,"style":291},[286,290],[236,10574,10576],{"className":10575},[295],[236,10577,10579,10599],{"className":10578},[299,300],[236,10580,10582,10596],{"className":10581},[304],[236,10583,10585],{"className":10584,"style":672},[308],[236,10586,10587,10590],{"style":312},[236,10588],{"className":10589,"style":317},[316],[236,10591,10593],{"className":10592},[321,322,323,324],[236,10594,532],{"className":10595},[286,290,324],[236,10597,333],{"className":10598},[332],[236,10600,10602],{"className":10601},[304],[236,10603,10605],{"className":10604,"style":340},[308],[236,10606],{},[236,10608],{"className":10609,"style":438},[437],[236,10611,371],{"className":10612},[442],[236,10614],{"className":10615,"style":438},[437],[236,10617,10619,10622,10662,10665,10668],{"className":10618},[277],[236,10620],{"className":10621,"style":282},[281],[236,10623,10625,10628],{"className":10624},[286],[236,10626,260],{"className":10627,"style":291},[286,290],[236,10629,10631],{"className":10630},[295],[236,10632,10634,10654],{"className":10633},[299,300],[236,10635,10637,10651],{"className":10636},[304],[236,10638,10640],{"className":10639,"style":10093},[308],[236,10641,10642,10645],{"style":312},[236,10643],{"className":10644,"style":317},[316],[236,10646,10648],{"className":10647},[321,322,323,324],[236,10649,10004],{"className":10650},[286,290,324],[236,10652,333],{"className":10653},[332],[236,10655,10657],{"className":10656},[304],[236,10658,10660],{"className":10659,"style":340},[308],[236,10661],{},[236,10663],{"className":10664,"style":639},[437],[236,10666,525],{"className":10667},[643],[236,10669],{"className":10670,"style":639},[437],[236,10672,10674,10677,10680,10683],{"className":10673},[277],[236,10675],{"className":10676,"style":9800},[281],[236,10678,10491],{"className":10679},[286],[236,10681],{"className":10682,"style":980},[437],[236,10684,10686],{"className":10685},[286,10470],[236,10687,10338],{"className":10688},[286],[345,10690,10691,10692,11078,11079,11132],{},"计算 ",[236,10693,10695,10766],{"className":10694},[239],[236,10696,10698],{"className":10697},[243],[245,10699,10700],{"xmlns":247},[249,10701,10702,10763],{},[252,10703,10704,10707,10709,10711,10713,10715],{},[258,10705,10706],{},"f",[369,10708,546],{"stretchy":545},[258,10710,260],{},[369,10712,563],{"stretchy":545},[369,10714,525],{},[3401,10716,10717],{"scriptlevel":3403,"displaystyle":273},[610,10718,10719,10721],{},[2091,10720,9458],{},[252,10722,10723,10725,10727,10733],{},[2091,10724,9458],{},[369,10726,2083],{},[610,10728,10729,10731],{},[2091,10730,9458],{},[2091,10732,2093],{},[534,10734,10735,10737],{},[258,10736,538],{},[252,10738,10739,10741,10747,10749,10755,10757,10759,10761],{},[369,10740,546],{"stretchy":545},[255,10742,10743,10745],{},[258,10744,260],{},[258,10746,10004],{},[369,10748,371],{},[255,10750,10751,10753],{},[258,10752,260],{},[258,10754,263],{},[369,10756,563],{"stretchy":545},[258,10758,567],{"mathvariant":566},[258,10760,570],{},[258,10762,573],{},[265,10764,10765],{"encoding":267},"f(E) = \\dfrac{1}{1 + \\frac{1}{2} e^{(E_d - E_F)\u002FkT}}",[236,10767,10769,10797],{"className":10768,"ariaHidden":273},[272],[236,10770,10772,10775,10779,10782,10785,10788,10791,10794],{"className":10771},[277],[236,10773],{"className":10774,"style":3688},[281],[236,10776,10706],{"className":10777,"style":10778},[286,290],"margin-right:0.1076em;",[236,10780,546],{"className":10781},[732],[236,10783,260],{"className":10784,"style":291},[286,290],[236,10786,563],{"className":10787},[828],[236,10789],{"className":10790,"style":639},[437],[236,10792,525],{"className":10793},[643],[236,10795],{"className":10796,"style":639},[437],[236,10798,10800,10804],{"className":10799},[277],[236,10801],{"className":10802,"style":10803},[281],"height:2.4015em;vertical-align:-1.0801em;",[236,10805,10807,10810,11075],{"className":10806},[286],[236,10808],{"className":10809},[732,994],[236,10811,10813],{"className":10812},[610],[236,10814,10816,11066],{"className":10815},[299,300],[236,10817,10819,11063],{"className":10818},[304],[236,10820,10822,11044,11052],{"className":10821,"style":9683},[308],[236,10823,10825,10828],{"style":10824},"top:-2.2649em;",[236,10826],{"className":10827,"style":1014},[316],[236,10829,10831,10834,10837,10840,10843,10915],{"className":10830},[286],[236,10832,9458],{"className":10833},[286],[236,10835],{"className":10836,"style":438},[437],[236,10838,2083],{"className":10839},[442],[236,10841],{"className":10842,"style":438},[437],[236,10844,10846,10849,10912],{"className":10845},[286],[236,10847],{"className":10848},[732,994],[236,10850,10852],{"className":10851},[610],[236,10853,10855,10903],{"className":10854},[299,300],[236,10856,10858,10900],{"className":10857},[304],[236,10859,10862,10877,10885],{"className":10860,"style":10861},[308],"height:0.8451em;",[236,10863,10865,10868],{"style":10864},"top:-2.655em;",[236,10866],{"className":10867,"style":1014},[316],[236,10869,10871],{"className":10870},[321,322,323,324],[236,10872,10874],{"className":10873},[286,324],[236,10875,2093],{"className":10876},[286,324],[236,10878,10879,10882],{"style":1023},[236,10880],{"className":10881,"style":1014},[316],[236,10883],{"className":10884,"style":1031},[1030],[236,10886,10888,10891],{"style":10887},"top:-3.394em;",[236,10889],{"className":10890,"style":1014},[316],[236,10892,10894],{"className":10893},[321,322,323,324],[236,10895,10897],{"className":10896},[286,324],[236,10898,9458],{"className":10899},[286,324],[236,10901,333],{"className":10902},[332],[236,10904,10906],{"className":10905},[304],[236,10907,10910],{"className":10908,"style":10909},[308],"height:0.345em;",[236,10911],{},[236,10913],{"className":10914},[828,994],[236,10916,10918,10921],{"className":10917},[286],[236,10919,538],{"className":10920},[286,290],[236,10922,10924],{"className":10923},[295],[236,10925,10927],{"className":10926},[299],[236,10928,10930],{"className":10929},[304],[236,10931,10933],{"className":10932,"style":5968},[308],[236,10934,10935,10938],{"style":3106},[236,10936],{"className":10937,"style":317},[316],[236,10939,10941],{"className":10940},[321,322,323,324],[236,10942,10944,10947,10989,10992,11032,11035,11038,11041],{"className":10943},[286,324],[236,10945,546],{"className":10946},[732,324],[236,10948,10950,10953],{"className":10949},[286,324],[236,10951,260],{"className":10952,"style":291},[286,290,324],[236,10954,10956],{"className":10955},[295],[236,10957,10959,10980],{"className":10958},[299,300],[236,10960,10962,10977],{"className":10961},[304],[236,10963,10965],{"className":10964,"style":800},[308],[236,10966,10968,10971],{"style":10967},"top:-2.3488em;margin-left:-0.0576em;margin-right:0.0714em;",[236,10969],{"className":10970,"style":758},[316],[236,10972,10974],{"className":10973},[321,762,763,324],[236,10975,10004],{"className":10976},[286,290,324],[236,10978,333],{"className":10979},[332],[236,10981,10983],{"className":10982},[304],[236,10984,10987],{"className":10985,"style":10986},[308],"height:0.1512em;",[236,10988],{},[236,10990,371],{"className":10991},[442,324],[236,10993,10995,10998],{"className":10994},[286,324],[236,10996,260],{"className":10997,"style":291},[286,290,324],[236,10999,11001],{"className":11000},[295],[236,11002,11004,11024],{"className":11003},[299,300],[236,11005,11007,11021],{"className":11006},[304],[236,11008,11010],{"className":11009,"style":800},[308],[236,11011,11012,11015],{"style":803},[236,11013],{"className":11014,"style":758},[316],[236,11016,11018],{"className":11017},[321,762,763,324],[236,11019,263],{"className":11020,"style":328},[286,290,324],[236,11022,333],{"className":11023},[332],[236,11025,11027],{"className":11026},[304],[236,11028,11030],{"className":11029,"style":822},[308],[236,11031],{},[236,11033,563],{"className":11034},[828,324],[236,11036,567],{"className":11037},[286,324],[236,11039,570],{"className":11040,"style":835},[286,290,324],[236,11042,573],{"className":11043,"style":328},[286,290,324],[236,11045,11046,11049],{"style":1023},[236,11047],{"className":11048,"style":1014},[316],[236,11050],{"className":11051,"style":1031},[1030],[236,11053,11054,11057],{"style":1034},[236,11055],{"className":11056,"style":1014},[316],[236,11058,11060],{"className":11059},[286],[236,11061,9458],{"className":11062},[286],[236,11064,333],{"className":11065},[332],[236,11067,11069],{"className":11068},[304],[236,11070,11073],{"className":11071,"style":11072},[308],"height:1.0801em;",[236,11074],{},[236,11076],{"className":11077},[828,994],"，和 Fermi-Dirac 分布相比多了一个 ",[236,11080,11082,11101],{"className":11081},[239],[236,11083,11085],{"className":11084},[243],[245,11086,11087],{"xmlns":247},[249,11088,11089,11098],{},[252,11090,11091,11094,11096],{},[258,11092,11093],{},"g",[369,11095,525],{},[2091,11097,2093],{},[265,11099,11100],{"encoding":267},"g = 2",[236,11102,11104,11122],{"className":11103,"ariaHidden":273},[272],[236,11105,11107,11110,11113,11116,11119],{"className":11106},[277],[236,11108],{"className":11109,"style":1583},[281],[236,11111,11093],{"className":11112,"style":1303},[286,290],[236,11114],{"className":11115,"style":639},[437],[236,11117,525],{"className":11118},[643],[236,11120],{"className":11121,"style":639},[437],[236,11123,11125,11129],{"className":11124},[277],[236,11126],{"className":11127,"style":11128},[281],"height:0.6444em;",[236,11130,2093],{"className":11131},[286]," 的简并度（这个上课其实没讲）。",[345,11134,11135],{},"然后算出来实际上也只有 4% 左右没电离，所以假设完全电离是合理的。",[345,11137,11138,11139,11295,11296,11430],{},"这个应该是推出一个结论：掺杂的 dopant 基本都能全电离，可以直接让 ",[236,11140,11142,11173],{"className":11141},[239],[236,11143,11145],{"className":11144},[243],[245,11146,11147],{"xmlns":247},[249,11148,11149,11170],{},[252,11150,11151,11153,11155,11161,11163],{},[258,11152,522],{},[369,11154,525],{},[255,11156,11157,11159],{},[258,11158,364],{},[258,11160,10004],{},[369,11162,371],{},[255,11164,11165,11167],{},[258,11166,364],{},[258,11168,11169],{},"a",[265,11171,11172],{"encoding":267},"n = N_d - N_a",[236,11174,11176,11194,11249],{"className":11175,"ariaHidden":273},[272],[236,11177,11179,11182,11185,11188,11191],{"className":11178},[277],[236,11180],{"className":11181,"style":632},[281],[236,11183,522],{"className":11184},[286,290],[236,11186],{"className":11187,"style":639},[437],[236,11189,525],{"className":11190},[643],[236,11192],{"className":11193,"style":639},[437],[236,11195,11197,11200,11240,11243,11246],{"className":11196},[277],[236,11198],{"className":11199,"style":282},[281],[236,11201,11203,11206],{"className":11202},[286],[236,11204,364],{"className":11205,"style":397},[286,290],[236,11207,11209],{"className":11208},[295],[236,11210,11212,11232],{"className":11211},[299,300],[236,11213,11215,11229],{"className":11214},[304],[236,11216,11218],{"className":11217,"style":10093},[308],[236,11219,11220,11223],{"style":412},[236,11221],{"className":11222,"style":317},[316],[236,11224,11226],{"className":11225},[321,322,323,324],[236,11227,10004],{"className":11228},[286,290,324],[236,11230,333],{"className":11231},[332],[236,11233,11235],{"className":11234},[304],[236,11236,11238],{"className":11237,"style":340},[308],[236,11239],{},[236,11241],{"className":11242,"style":438},[437],[236,11244,371],{"className":11245},[442],[236,11247],{"className":11248,"style":438},[437],[236,11250,11252,11255],{"className":11251},[277],[236,11253],{"className":11254,"style":282},[281],[236,11256,11258,11261],{"className":11257},[286],[236,11259,364],{"className":11260,"style":397},[286,290],[236,11262,11264],{"className":11263},[295],[236,11265,11267,11287],{"className":11266},[299,300],[236,11268,11270,11284],{"className":11269},[304],[236,11271,11273],{"className":11272,"style":672},[308],[236,11274,11275,11278],{"style":412},[236,11276],{"className":11277,"style":317},[316],[236,11279,11281],{"className":11280},[321,322,323,324],[236,11282,11169],{"className":11283},[286,290,324],[236,11285,333],{"className":11286},[332],[236,11288,11290],{"className":11289},[304],[236,11291,11293],{"className":11292,"style":340},[308],[236,11294],{},"（",[236,11297,11299,11326],{"className":11298},[239],[236,11300,11302],{"className":11301},[243],[245,11303,11304],{"xmlns":247},[249,11305,11306,11323],{},[252,11307,11308,11314,11317],{},[255,11309,11310,11312],{},[258,11311,364],{},[258,11313,10004],{},[369,11315,11316],{},"≫",[255,11318,11319,11321],{},[258,11320,364],{},[258,11322,11169],{},[265,11324,11325],{"encoding":267},"N_d \\gg N_a",[236,11327,11329,11384],{"className":11328,"ariaHidden":273},[272],[236,11330,11332,11335,11375,11378,11381],{"className":11331},[277],[236,11333],{"className":11334,"style":282},[281],[236,11336,11338,11341],{"className":11337},[286],[236,11339,364],{"className":11340,"style":397},[286,290],[236,11342,11344],{"className":11343},[295],[236,11345,11347,11367],{"className":11346},[299,300],[236,11348,11350,11364],{"className":11349},[304],[236,11351,11353],{"className":11352,"style":10093},[308],[236,11354,11355,11358],{"style":412},[236,11356],{"className":11357,"style":317},[316],[236,11359,11361],{"className":11360},[321,322,323,324],[236,11362,10004],{"className":11363},[286,290,324],[236,11365,333],{"className":11366},[332],[236,11368,11370],{"className":11369},[304],[236,11371,11373],{"className":11372,"style":340},[308],[236,11374],{},[236,11376],{"className":11377,"style":639},[437],[236,11379,11316],{"className":11380},[643],[236,11382],{"className":11383,"style":639},[437],[236,11385,11387,11390],{"className":11386},[277],[236,11388],{"className":11389,"style":282},[281],[236,11391,11393,11396],{"className":11392},[286],[236,11394,364],{"className":11395,"style":397},[286,290],[236,11397,11399],{"className":11398},[295],[236,11400,11402,11422],{"className":11401},[299,300],[236,11403,11405,11419],{"className":11404},[304],[236,11406,11408],{"className":11407,"style":672},[308],[236,11409,11410,11413],{"style":412},[236,11411],{"className":11412,"style":317},[316],[236,11414,11416],{"className":11415},[321,322,323,324],[236,11417,11169],{"className":11418},[286,290,324],[236,11420,333],{"className":11421},[332],[236,11423,11425],{"className":11424},[304],[236,11426,11428],{"className":11427,"style":340},[308],[236,11429],{},"）等等。",[231,11432,11434,11435,3786,11463,11491],{"id":11433},"general-theory-of-nnn-and-ppp-载流子浓度的一般理论","General Theory of ",[236,11436,11438,11451],{"className":11437},[239],[236,11439,11441],{"className":11440},[243],[245,11442,11443],{"xmlns":247},[249,11444,11445,11449],{},[252,11446,11447],{},[258,11448,522],{},[265,11450,522],{"encoding":267},[236,11452,11454],{"className":11453,"ariaHidden":273},[272],[236,11455,11457,11460],{"className":11456},[277],[236,11458],{"className":11459,"style":632},[281],[236,11461,522],{"className":11462},[286,290],[236,11464,11466,11479],{"className":11465},[239],[236,11467,11469],{"className":11468},[243],[245,11470,11471],{"xmlns":247},[249,11472,11473,11477],{},[252,11474,11475],{},[258,11476,345],{},[265,11478,345],{"encoding":267},[236,11480,11482],{"className":11481,"ariaHidden":273},[272],[236,11483,11485,11488],{"className":11484},[277],[236,11486],{"className":11487,"style":1583},[281],[236,11489,345],{"className":11490},[286,290]," ｜ 载流子浓度的一般理论",[345,11493,11494],{},"Charge neutrality ｜ 电中性：",[236,11496,11498],{"className":11497},[506],[236,11499,11501,11535],{"className":11500},[239],[236,11502,11504],{"className":11503},[243],[245,11505,11506],{"xmlns":247,"display":515},[249,11507,11508,11532],{},[252,11509,11510,11512,11514,11520,11522,11524,11526],{},[258,11511,522],{},[369,11513,2083],{},[255,11515,11516,11518],{},[258,11517,364],{},[258,11519,11169],{},[369,11521,525],{},[258,11523,345],{},[369,11525,2083],{},[255,11527,11528,11530],{},[258,11529,364],{},[258,11531,10004],{},[265,11533,11534],{"encoding":267},"n + N_a = p + N_d",[236,11536,11538,11557,11612,11631],{"className":11537,"ariaHidden":273},[272],[236,11539,11541,11545,11548,11551,11554],{"className":11540},[277],[236,11542],{"className":11543,"style":11544},[281],"height:0.6667em;vertical-align:-0.0833em;",[236,11546,522],{"className":11547},[286,290],[236,11549],{"className":11550,"style":438},[437],[236,11552,2083],{"className":11553},[442],[236,11555],{"className":11556,"style":438},[437],[236,11558,11560,11563,11603,11606,11609],{"className":11559},[277],[236,11561],{"className":11562,"style":282},[281],[236,11564,11566,11569],{"className":11565},[286],[236,11567,364],{"className":11568,"style":397},[286,290],[236,11570,11572],{"className":11571},[295],[236,11573,11575,11595],{"className":11574},[299,300],[236,11576,11578,11592],{"className":11577},[304],[236,11579,11581],{"className":11580,"style":672},[308],[236,11582,11583,11586],{"style":412},[236,11584],{"className":11585,"style":317},[316],[236,11587,11589],{"className":11588},[321,322,323,324],[236,11590,11169],{"className":11591},[286,290,324],[236,11593,333],{"className":11594},[332],[236,11596,11598],{"className":11597},[304],[236,11599,11601],{"className":11600,"style":340},[308],[236,11602],{},[236,11604],{"className":11605,"style":639},[437],[236,11607,525],{"className":11608},[643],[236,11610],{"className":11611,"style":639},[437],[236,11613,11615,11619,11622,11625,11628],{"className":11614},[277],[236,11616],{"className":11617,"style":11618},[281],"height:0.7778em;vertical-align:-0.1944em;",[236,11620,345],{"className":11621},[286,290],[236,11623],{"className":11624,"style":438},[437],[236,11626,2083],{"className":11627},[442],[236,11629],{"className":11630,"style":438},[437],[236,11632,11634,11637],{"className":11633},[277],[236,11635],{"className":11636,"style":282},[281],[236,11638,11640,11643],{"className":11639},[286],[236,11641,364],{"className":11642,"style":397},[286,290],[236,11644,11646],{"className":11645},[295],[236,11647,11649,11669],{"className":11648},[299,300],[236,11650,11652,11666],{"className":11651},[304],[236,11653,11655],{"className":11654,"style":10093},[308],[236,11656,11657,11660],{"style":412},[236,11658],{"className":11659,"style":317},[316],[236,11661,11663],{"className":11662},[321,322,323,324],[236,11664,10004],{"className":11665},[286,290,324],[236,11667,333],{"className":11668},[332],[236,11670,11672],{"className":11671},[304],[236,11673,11675],{"className":11674,"style":340},[308],[236,11676],{},[345,11678,11679],{},"Thermal equilibrium ｜ 热平衡：",[236,11681,11683],{"className":11682},[506],[236,11684,11686,11712],{"className":11685},[239],[236,11687,11689],{"className":11688},[243],[245,11690,11691],{"xmlns":247,"display":515},[249,11692,11693,11709],{},[252,11694,11695,11697,11699,11701],{},[258,11696,522],{},[258,11698,345],{},[369,11700,525],{},[2697,11702,11703,11705,11707],{},[258,11704,522],{},[258,11706,1408],{},[2091,11708,2093],{},[265,11710,11711],{"encoding":267},"np = n_i^2",[236,11713,11715,11736],{"className":11714,"ariaHidden":273},[272],[236,11716,11718,11721,11724,11727,11730,11733],{"className":11717},[277],[236,11719],{"className":11720,"style":1583},[281],[236,11722,522],{"className":11723},[286,290],[236,11725,345],{"className":11726},[286,290],[236,11728],{"className":11729,"style":639},[437],[236,11731,525],{"className":11732},[643],[236,11734],{"className":11735,"style":639},[437],[236,11737,11739,11743],{"className":11738},[277],[236,11740],{"className":11741,"style":11742},[281],"height:1.1111em;vertical-align:-0.247em;",[236,11744,11746,11749],{"className":11745},[286],[236,11747,522],{"className":11748},[286,290],[236,11750,11752],{"className":11751},[295],[236,11753,11755,11786],{"className":11754},[299,300],[236,11756,11758,11783],{"className":11757},[304],[236,11759,11761,11772],{"className":11760,"style":9584},[308],[236,11762,11763,11766],{"style":3094},[236,11764],{"className":11765,"style":317},[316],[236,11767,11769],{"className":11768},[321,322,323,324],[236,11770,1408],{"className":11771},[286,290,324],[236,11773,11774,11777],{"style":716},[236,11775],{"className":11776,"style":317},[316],[236,11778,11780],{"className":11779},[321,322,323,324],[236,11781,2093],{"className":11782},[286,324],[236,11784,333],{"className":11785},[332],[236,11787,11789],{"className":11788},[304],[236,11790,11792],{"className":11791,"style":3125},[308],[236,11793],{},[345,11795,11796],{},"然后解方程：",[236,11798,11800],{"className":11799},[506],[236,11801,11803,11897],{"className":11802},[239],[236,11804,11806],{"className":11805},[243],[245,11807,11808],{"xmlns":247,"display":515},[249,11809,11810,11894],{},[252,11811,11812,11814,11816,11836,11838],{},[258,11813,345],{},[369,11815,525],{},[610,11817,11818,11834],{},[252,11819,11820,11826,11828],{},[255,11821,11822,11824],{},[258,11823,364],{},[258,11825,11169],{},[369,11827,371],{},[255,11829,11830,11832],{},[258,11831,364],{},[258,11833,10004],{},[2091,11835,2093],{},[369,11837,2083],{},[534,11839,11840,11886],{},[252,11841,11842,11844,11874,11876,11884],{},[369,11843,5673],{"fence":273},[534,11845,11846,11872],{},[252,11847,11848,11850,11870],{},[369,11849,546],{"fence":273},[610,11851,11852,11868],{},[252,11853,11854,11860,11862],{},[255,11855,11856,11858],{},[258,11857,364],{},[258,11859,11169],{},[369,11861,371],{},[255,11863,11864,11866],{},[258,11865,364],{},[258,11867,10004],{},[2091,11869,2093],{},[369,11871,563],{"fence":273},[2091,11873,2093],{},[369,11875,2083],{},[2697,11877,11878,11880,11882],{},[258,11879,522],{},[258,11881,1408],{},[2091,11883,2093],{},[369,11885,5714],{"fence":273},[252,11887,11888,11890,11892],{},[2091,11889,9458],{},[258,11891,567],{"mathvariant":566},[2091,11893,2093],{},[265,11895,11896],{"encoding":267},"p = \\frac{N_a - N_d}{2} + \\left[\\left(\\frac{N_a - N_d}{2}\\right)^2 + n_i^2\\right]^{1\u002F2}",[236,11898,11900,11918,12081],{"className":11899,"ariaHidden":273},[272],[236,11901,11903,11906,11909,11912,11915],{"className":11902},[277],[236,11904],{"className":11905,"style":1583},[281],[236,11907,345],{"className":11908},[286,290],[236,11910],{"className":11911,"style":639},[437],[236,11913,525],{"className":11914},[643],[236,11916],{"className":11917,"style":639},[437],[236,11919,11921,11924,12072,12075,12078],{"className":11920},[277],[236,11922],{"className":11923,"style":970},[281],[236,11925,11927,11930,12069],{"className":11926},[286],[236,11928],{"className":11929},[732,994],[236,11931,11933],{"className":11932},[610],[236,11934,11936,12061],{"className":11935},[299,300],[236,11937,11939,12058],{"className":11938},[304],[236,11940,11942,11953,11961],{"className":11941,"style":1007},[308],[236,11943,11944,11947],{"style":1010},[236,11945],{"className":11946,"style":1014},[316],[236,11948,11950],{"className":11949},[286],[236,11951,2093],{"className":11952},[286],[236,11954,11955,11958],{"style":1023},[236,11956],{"className":11957,"style":1014},[316],[236,11959],{"className":11960,"style":1031},[1030],[236,11962,11963,11966],{"style":1034},[236,11964],{"className":11965,"style":1014},[316],[236,11967,11969,12009,12012,12015,12018],{"className":11968},[286],[236,11970,11972,11975],{"className":11971},[286],[236,11973,364],{"className":11974,"style":397},[286,290],[236,11976,11978],{"className":11977},[295],[236,11979,11981,12001],{"className":11980},[299,300],[236,11982,11984,11998],{"className":11983},[304],[236,11985,11987],{"className":11986,"style":672},[308],[236,11988,11989,11992],{"style":412},[236,11990],{"className":11991,"style":317},[316],[236,11993,11995],{"className":11994},[321,322,323,324],[236,11996,11169],{"className":11997},[286,290,324],[236,11999,333],{"className":12000},[332],[236,12002,12004],{"className":12003},[304],[236,12005,12007],{"className":12006,"style":340},[308],[236,12008],{},[236,12010],{"className":12011,"style":438},[437],[236,12013,371],{"className":12014},[442],[236,12016],{"className":12017,"style":438},[437],[236,12019,12021,12024],{"className":12020},[286],[236,12022,364],{"className":12023,"style":397},[286,290],[236,12025,12027],{"className":12026},[295],[236,12028,12030,12050],{"className":12029},[299,300],[236,12031,12033,12047],{"className":12032},[304],[236,12034,12036],{"className":12035,"style":10093},[308],[236,12037,12038,12041],{"style":412},[236,12039],{"className":12040,"style":317},[316],[236,12042,12044],{"className":12043},[321,322,323,324],[236,12045,10004],{"className":12046},[286,290,324],[236,12048,333],{"className":12049},[332],[236,12051,12053],{"className":12052},[304],[236,12054,12056],{"className":12055,"style":340},[308],[236,12057],{},[236,12059,333],{"className":12060},[332],[236,12062,12064],{"className":12063},[304],[236,12065,12067],{"className":12066,"style":1090},[308],[236,12068],{},[236,12070],{"className":12071},[828,994],[236,12073],{"className":12074,"style":438},[437],[236,12076,2083],{"className":12077},[442],[236,12079],{"className":12080,"style":438},[437],[236,12082,12084,12088],{"className":12083},[277],[236,12085],{"className":12086,"style":12087},[281],"height:3.2779em;vertical-align:-1.25em;",[236,12089,12092,12362],{"className":12090},[12091],"minner",[236,12093,12095,12105,12296,12299,12302,12305,12356],{"className":12094},[12091],[236,12096,12100],{"className":12097,"style":12099},[732,12098],"delimcenter","top:0em;",[236,12101,5673],{"className":12102},[12103,12104],"delimsizing","size4",[236,12106,12108,12271],{"className":12107},[12091],[236,12109,12111,12117,12265],{"className":12110},[12091],[236,12112,12114],{"className":12113,"style":12099},[732,12098],[236,12115,546],{"className":12116},[12103,323],[236,12118,12120,12123,12262],{"className":12119},[286],[236,12121],{"className":12122},[732,994],[236,12124,12126],{"className":12125},[610],[236,12127,12129,12254],{"className":12128},[299,300],[236,12130,12132,12251],{"className":12131},[304],[236,12133,12135,12146,12154],{"className":12134,"style":1007},[308],[236,12136,12137,12140],{"style":1010},[236,12138],{"className":12139,"style":1014},[316],[236,12141,12143],{"className":12142},[286],[236,12144,2093],{"className":12145},[286],[236,12147,12148,12151],{"style":1023},[236,12149],{"className":12150,"style":1014},[316],[236,12152],{"className":12153,"style":1031},[1030],[236,12155,12156,12159],{"style":1034},[236,12157],{"className":12158,"style":1014},[316],[236,12160,12162,12202,12205,12208,12211],{"className":12161},[286],[236,12163,12165,12168],{"className":12164},[286],[236,12166,364],{"className":12167,"style":397},[286,290],[236,12169,12171],{"className":12170},[295],[236,12172,12174,12194],{"className":12173},[299,300],[236,12175,12177,12191],{"className":12176},[304],[236,12178,12180],{"className":12179,"style":672},[308],[236,12181,12182,12185],{"style":412},[236,12183],{"className":12184,"style":317},[316],[236,12186,12188],{"className":12187},[321,322,323,324],[236,12189,11169],{"className":12190},[286,290,324],[236,12192,333],{"className":12193},[332],[236,12195,12197],{"className":12196},[304],[236,12198,12200],{"className":12199,"style":340},[308],[236,12201],{},[236,12203],{"className":12204,"style":438},[437],[236,12206,371],{"className":12207},[442],[236,12209],{"className":12210,"style":438},[437],[236,12212,12214,12217],{"className":12213},[286],[236,12215,364],{"className":12216,"style":397},[286,290],[236,12218,12220],{"className":12219},[295],[236,12221,12223,12243],{"className":12222},[299,300],[236,12224,12226,12240],{"className":12225},[304],[236,12227,12229],{"className":12228,"style":10093},[308],[236,12230,12231,12234],{"style":412},[236,12232],{"className":12233,"style":317},[316],[236,12235,12237],{"className":12236},[321,322,323,324],[236,12238,10004],{"className":12239},[286,290,324],[236,12241,333],{"className":12242},[332],[236,12244,12246],{"className":12245},[304],[236,12247,12249],{"className":12248,"style":340},[308],[236,12250],{},[236,12252,333],{"className":12253},[332],[236,12255,12257],{"className":12256},[304],[236,12258,12260],{"className":12259,"style":1090},[308],[236,12261],{},[236,12263],{"className":12264},[828,994],[236,12266,12268],{"className":12267,"style":12099},[828,12098],[236,12269,563],{"className":12270},[12103,323],[236,12272,12274],{"className":12273},[295],[236,12275,12277],{"className":12276},[299],[236,12278,12280],{"className":12279},[304],[236,12281,12284],{"className":12282,"style":12283},[308],"height:1.654em;",[236,12285,12287,12290],{"style":12286},"top:-3.9029em;margin-right:0.05em;",[236,12288],{"className":12289,"style":317},[316],[236,12291,12293],{"className":12292},[321,322,323,324],[236,12294,2093],{"className":12295},[286,324],[236,12297],{"className":12298,"style":438},[437],[236,12300,2083],{"className":12301},[442],[236,12303],{"className":12304,"style":438},[437],[236,12306,12308,12311],{"className":12307},[286],[236,12309,522],{"className":12310},[286,290],[236,12312,12314],{"className":12313},[295],[236,12315,12317,12348],{"className":12316},[299,300],[236,12318,12320,12345],{"className":12319},[304],[236,12321,12323,12334],{"className":12322,"style":9584},[308],[236,12324,12325,12328],{"style":3094},[236,12326],{"className":12327,"style":317},[316],[236,12329,12331],{"className":12330},[321,322,323,324],[236,12332,1408],{"className":12333},[286,290,324],[236,12335,12336,12339],{"style":716},[236,12337],{"className":12338,"style":317},[316],[236,12340,12342],{"className":12341},[321,322,323,324],[236,12343,2093],{"className":12344},[286,324],[236,12346,333],{"className":12347},[332],[236,12349,12351],{"className":12350},[304],[236,12352,12354],{"className":12353,"style":3125},[308],[236,12355],{},[236,12357,12359],{"className":12358,"style":12099},[828,12098],[236,12360,5714],{"className":12361},[12103,12104],[236,12363,12365],{"className":12364},[295],[236,12366,12368],{"className":12367},[299],[236,12369,12371],{"className":12370},[304],[236,12372,12375],{"className":12373,"style":12374},[308],"height:2.0279em;",[236,12376,12378,12381],{"style":12377},"top:-4.2029em;margin-right:0.05em;",[236,12379],{"className":12380,"style":317},[316],[236,12382,12384],{"className":12383},[321,322,323,324],[236,12385,12387],{"className":12386},[286,324],[236,12388,12390],{"className":12389},[286,324],"1\u002F2",[236,12392,12394],{"className":12393},[506],[236,12395,12397,12491],{"className":12396},[239],[236,12398,12400],{"className":12399},[243],[245,12401,12402],{"xmlns":247,"display":515},[249,12403,12404,12488],{},[252,12405,12406,12408,12410,12430,12432],{},[258,12407,522],{},[369,12409,525],{},[610,12411,12412,12428],{},[252,12413,12414,12420,12422],{},[255,12415,12416,12418],{},[258,12417,364],{},[258,12419,10004],{},[369,12421,371],{},[255,12423,12424,12426],{},[258,12425,364],{},[258,12427,11169],{},[2091,12429,2093],{},[369,12431,2083],{},[534,12433,12434,12480],{},[252,12435,12436,12438,12468,12470,12478],{},[369,12437,5673],{"fence":273},[534,12439,12440,12466],{},[252,12441,12442,12444,12464],{},[369,12443,546],{"fence":273},[610,12445,12446,12462],{},[252,12447,12448,12454,12456],{},[255,12449,12450,12452],{},[258,12451,364],{},[258,12453,10004],{},[369,12455,371],{},[255,12457,12458,12460],{},[258,12459,364],{},[258,12461,11169],{},[2091,12463,2093],{},[369,12465,563],{"fence":273},[2091,12467,2093],{},[369,12469,2083],{},[2697,12471,12472,12474,12476],{},[258,12473,522],{},[258,12475,1408],{},[2091,12477,2093],{},[369,12479,5714],{"fence":273},[252,12481,12482,12484,12486],{},[2091,12483,9458],{},[258,12485,567],{"mathvariant":566},[2091,12487,2093],{},[265,12489,12490],{"encoding":267},"n = \\frac{N_d - N_a}{2} + \\left[\\left(\\frac{N_d - N_a}{2}\\right)^2 + n_i^2\\right]^{1\u002F2}",[236,12492,12494,12512,12675],{"className":12493,"ariaHidden":273},[272],[236,12495,12497,12500,12503,12506,12509],{"className":12496},[277],[236,12498],{"className":12499,"style":632},[281],[236,12501,522],{"className":12502},[286,290],[236,12504],{"className":12505,"style":639},[437],[236,12507,525],{"className":12508},[643],[236,12510],{"className":12511,"style":639},[437],[236,12513,12515,12518,12666,12669,12672],{"className":12514},[277],[236,12516],{"className":12517,"style":970},[281],[236,12519,12521,12524,12663],{"className":12520},[286],[236,12522],{"className":12523},[732,994],[236,12525,12527],{"className":12526},[610],[236,12528,12530,12655],{"className":12529},[299,300],[236,12531,12533,12652],{"className":12532},[304],[236,12534,12536,12547,12555],{"className":12535,"style":1007},[308],[236,12537,12538,12541],{"style":1010},[236,12539],{"className":12540,"style":1014},[316],[236,12542,12544],{"className":12543},[286],[236,12545,2093],{"className":12546},[286],[236,12548,12549,12552],{"style":1023},[236,12550],{"className":12551,"style":1014},[316],[236,12553],{"className":12554,"style":1031},[1030],[236,12556,12557,12560],{"style":1034},[236,12558],{"className":12559,"style":1014},[316],[236,12561,12563,12603,12606,12609,12612],{"className":12562},[286],[236,12564,12566,12569],{"className":12565},[286],[236,12567,364],{"className":12568,"style":397},[286,290],[236,12570,12572],{"className":12571},[295],[236,12573,12575,12595],{"className":12574},[299,300],[236,12576,12578,12592],{"className":12577},[304],[236,12579,12581],{"className":12580,"style":10093},[308],[236,12582,12583,12586],{"style":412},[236,12584],{"className":12585,"style":317},[316],[236,12587,12589],{"className":12588},[321,322,323,324],[236,12590,10004],{"className":12591},[286,290,324],[236,12593,333],{"className":12594},[332],[236,12596,12598],{"className":12597},[304],[236,12599,12601],{"className":12600,"style":340},[308],[236,12602],{},[236,12604],{"className":12605,"style":438},[437],[236,12607,371],{"className":12608},[442],[236,12610],{"className":12611,"style":438},[437],[236,12613,12615,12618],{"className":12614},[286],[236,12616,364],{"className":12617,"style":397},[286,290],[236,12619,12621],{"className":12620},[295],[236,12622,12624,12644],{"className":12623},[299,300],[236,12625,12627,12641],{"className":12626},[304],[236,12628,12630],{"className":12629,"style":672},[308],[236,12631,12632,12635],{"style":412},[236,12633],{"className":12634,"style":317},[316],[236,12636,12638],{"className":12637},[321,322,323,324],[236,12639,11169],{"className":12640},[286,290,324],[236,12642,333],{"className":12643},[332],[236,12645,12647],{"className":12646},[304],[236,12648,12650],{"className":12649,"style":340},[308],[236,12651],{},[236,12653,333],{"className":12654},[332],[236,12656,12658],{"className":12657},[304],[236,12659,12661],{"className":12660,"style":1090},[308],[236,12662],{},[236,12664],{"className":12665},[828,994],[236,12667],{"className":12668,"style":438},[437],[236,12670,2083],{"className":12671},[442],[236,12673],{"className":12674,"style":438},[437],[236,12676,12678,12681],{"className":12677},[277],[236,12679],{"className":12680,"style":12087},[281],[236,12682,12684,12948],{"className":12683},[12091],[236,12685,12687,12693,12882,12885,12888,12891,12942],{"className":12686},[12091],[236,12688,12690],{"className":12689,"style":12099},[732,12098],[236,12691,5673],{"className":12692},[12103,12104],[236,12694,12696,12859],{"className":12695},[12091],[236,12697,12699,12705,12853],{"className":12698},[12091],[236,12700,12702],{"className":12701,"style":12099},[732,12098],[236,12703,546],{"className":12704},[12103,323],[236,12706,12708,12711,12850],{"className":12707},[286],[236,12709],{"className":12710},[732,994],[236,12712,12714],{"className":12713},[610],[236,12715,12717,12842],{"className":12716},[299,300],[236,12718,12720,12839],{"className":12719},[304],[236,12721,12723,12734,12742],{"className":12722,"style":1007},[308],[236,12724,12725,12728],{"style":1010},[236,12726],{"className":12727,"style":1014},[316],[236,12729,12731],{"className":12730},[286],[236,12732,2093],{"className":12733},[286],[236,12735,12736,12739],{"style":1023},[236,12737],{"className":12738,"style":1014},[316],[236,12740],{"className":12741,"style":1031},[1030],[236,12743,12744,12747],{"style":1034},[236,12745],{"className":12746,"style":1014},[316],[236,12748,12750,12790,12793,12796,12799],{"className":12749},[286],[236,12751,12753,12756],{"className":12752},[286],[236,12754,364],{"className":12755,"style":397},[286,290],[236,12757,12759],{"className":12758},[295],[236,12760,12762,12782],{"className":12761},[299,300],[236,12763,12765,12779],{"className":12764},[304],[236,12766,12768],{"className":12767,"style":10093},[308],[236,12769,12770,12773],{"style":412},[236,12771],{"className":12772,"style":317},[316],[236,12774,12776],{"className":12775},[321,322,323,324],[236,12777,10004],{"className":12778},[286,290,324],[236,12780,333],{"className":12781},[332],[236,12783,12785],{"className":12784},[304],[236,12786,12788],{"className":12787,"style":340},[308],[236,12789],{},[236,12791],{"className":12792,"style":438},[437],[236,12794,371],{"className":12795},[442],[236,12797],{"className":12798,"style":438},[437],[236,12800,12802,12805],{"className":12801},[286],[236,12803,364],{"className":12804,"style":397},[286,290],[236,12806,12808],{"className":12807},[295],[236,12809,12811,12831],{"className":12810},[299,300],[236,12812,12814,12828],{"className":12813},[304],[236,12815,12817],{"className":12816,"style":672},[308],[236,12818,12819,12822],{"style":412},[236,12820],{"className":12821,"style":317},[316],[236,12823,12825],{"className":12824},[321,322,323,324],[236,12826,11169],{"className":12827},[286,290,324],[236,12829,333],{"className":12830},[332],[236,12832,12834],{"className":12833},[304],[236,12835,12837],{"className":12836,"style":340},[308],[236,12838],{},[236,12840,333],{"className":12841},[332],[236,12843,12845],{"className":12844},[304],[236,12846,12848],{"className":12847,"style":1090},[308],[236,12849],{},[236,12851],{"className":12852},[828,994],[236,12854,12856],{"className":12855,"style":12099},[828,12098],[236,12857,563],{"className":12858},[12103,323],[236,12860,12862],{"className":12861},[295],[236,12863,12865],{"className":12864},[299],[236,12866,12868],{"className":12867},[304],[236,12869,12871],{"className":12870,"style":12283},[308],[236,12872,12873,12876],{"style":12286},[236,12874],{"className":12875,"style":317},[316],[236,12877,12879],{"className":12878},[321,322,323,324],[236,12880,2093],{"className":12881},[286,324],[236,12883],{"className":12884,"style":438},[437],[236,12886,2083],{"className":12887},[442],[236,12889],{"className":12890,"style":438},[437],[236,12892,12894,12897],{"className":12893},[286],[236,12895,522],{"className":12896},[286,290],[236,12898,12900],{"className":12899},[295],[236,12901,12903,12934],{"className":12902},[299,300],[236,12904,12906,12931],{"className":12905},[304],[236,12907,12909,12920],{"className":12908,"style":9584},[308],[236,12910,12911,12914],{"style":3094},[236,12912],{"className":12913,"style":317},[316],[236,12915,12917],{"className":12916},[321,322,323,324],[236,12918,1408],{"className":12919},[286,290,324],[236,12921,12922,12925],{"style":716},[236,12923],{"className":12924,"style":317},[316],[236,12926,12928],{"className":12927},[321,322,323,324],[236,12929,2093],{"className":12930},[286,324],[236,12932,333],{"className":12933},[332],[236,12935,12937],{"className":12936},[304],[236,12938,12940],{"className":12939,"style":3125},[308],[236,12941],{},[236,12943,12945],{"className":12944,"style":12099},[828,12098],[236,12946,5714],{"className":12947},[12103,12104],[236,12949,12951],{"className":12950},[295],[236,12952,12954],{"className":12953},[299],[236,12955,12957],{"className":12956},[304],[236,12958,12960],{"className":12959,"style":12374},[308],[236,12961,12962,12965],{"style":12377},[236,12963],{"className":12964,"style":317},[316],[236,12966,12968],{"className":12967},[321,322,323,324],[236,12969,12971],{"className":12970},[286,324],[236,12972,12390],{"className":12973},[286,324],[1097,12975,12976,12981],{},[345,12977,12978],{},[4073,12979,12980],{},"Important concepts",[8979,12982,12983,12989],{},[8982,12984,12985,12986,492],{},"Dopant compensation ｜ 补偿掺杂：同时有施主和受主。一部分施主产生的电子被受主\"中和\"，真正决定导电类型的是两者的",[4073,12987,12988],{},"差",[8982,12990,12991,12992,13205,13206,13340],{},"Net dopant concentration ｜ 净掺杂浓度：",[236,12993,12995,13036],{"className":12994},[239],[236,12996,12998],{"className":12997},[243],[245,12999,13000],{"xmlns":247},[249,13001,13002,13033],{},[252,13003,13004,13017,13019,13025,13027],{},[255,13005,13006,13008],{},[258,13007,364],{},[252,13009,13010,13012,13014],{},[258,13011,522],{},[258,13013,538],{},[258,13015,13016],{},"t",[369,13018,525],{},[255,13020,13021,13023],{},[258,13022,364],{},[258,13024,10004],{},[369,13026,371],{},[255,13028,13029,13031],{},[258,13030,364],{},[258,13032,11169],{},[265,13034,13035],{"encoding":267},"N_{net} = N_d - N_a",[236,13037,13039,13104,13159],{"className":13038,"ariaHidden":273},[272],[236,13040,13042,13045,13095,13098,13101],{"className":13041},[277],[236,13043],{"className":13044,"style":282},[281],[236,13046,13048,13051],{"className":13047},[286],[236,13049,364],{"className":13050,"style":397},[286,290],[236,13052,13054],{"className":13053},[295],[236,13055,13057,13087],{"className":13056},[299,300],[236,13058,13060,13084],{"className":13059},[304],[236,13061,13064],{"className":13062,"style":13063},[308],"height:0.2806em;",[236,13065,13066,13069],{"style":412},[236,13067],{"className":13068,"style":317},[316],[236,13070,13072],{"className":13071},[321,322,323,324],[236,13073,13075,13078,13081],{"className":13074},[286,324],[236,13076,522],{"className":13077},[286,290,324],[236,13079,538],{"className":13080},[286,290,324],[236,13082,13016],{"className":13083},[286,290,324],[236,13085,333],{"className":13086},[332],[236,13088,13090],{"className":13089},[304],[236,13091,13093],{"className":13092,"style":340},[308],[236,13094],{},[236,13096],{"className":13097,"style":639},[437],[236,13099,525],{"className":13100},[643],[236,13102],{"className":13103,"style":639},[437],[236,13105,13107,13110,13150,13153,13156],{"className":13106},[277],[236,13108],{"className":13109,"style":282},[281],[236,13111,13113,13116],{"className":13112},[286],[236,13114,364],{"className":13115,"style":397},[286,290],[236,13117,13119],{"className":13118},[295],[236,13120,13122,13142],{"className":13121},[299,300],[236,13123,13125,13139],{"className":13124},[304],[236,13126,13128],{"className":13127,"style":10093},[308],[236,13129,13130,13133],{"style":412},[236,13131],{"className":13132,"style":317},[316],[236,13134,13136],{"className":13135},[321,322,323,324],[236,13137,10004],{"className":13138},[286,290,324],[236,13140,333],{"className":13141},[332],[236,13143,13145],{"className":13144},[304],[236,13146,13148],{"className":13147,"style":340},[308],[236,13149],{},[236,13151],{"className":13152,"style":438},[437],[236,13154,371],{"className":13155},[442],[236,13157],{"className":13158,"style":438},[437],[236,13160,13162,13165],{"className":13161},[277],[236,13163],{"className":13164,"style":282},[281],[236,13166,13168,13171],{"className":13167},[286],[236,13169,364],{"className":13170,"style":397},[286,290],[236,13172,13174],{"className":13173},[295],[236,13175,13177,13197],{"className":13176},[299,300],[236,13178,13180,13194],{"className":13179},[304],[236,13181,13183],{"className":13182,"style":672},[308],[236,13184,13185,13188],{"style":412},[236,13186],{"className":13187,"style":317},[316],[236,13189,13191],{"className":13190},[321,322,323,324],[236,13192,11169],{"className":13193},[286,290,324],[236,13195,333],{"className":13196},[332],[236,13198,13200],{"className":13199},[304],[236,13201,13203],{"className":13202,"style":340},[308],[236,13204],{},"（if ",[236,13207,13209,13236],{"className":13208},[239],[236,13210,13212],{"className":13211},[243],[245,13213,13214],{"xmlns":247},[249,13215,13216,13233],{},[252,13217,13218,13224,13227],{},[255,13219,13220,13222],{},[258,13221,364],{},[258,13223,10004],{},[369,13225,13226],{},">",[255,13228,13229,13231],{},[258,13230,364],{},[258,13232,11169],{},[265,13234,13235],{"encoding":267},"N_d > N_a",[236,13237,13239,13294],{"className":13238,"ariaHidden":273},[272],[236,13240,13242,13245,13285,13288,13291],{"className":13241},[277],[236,13243],{"className":13244,"style":282},[281],[236,13246,13248,13251],{"className":13247},[286],[236,13249,364],{"className":13250,"style":397},[286,290],[236,13252,13254],{"className":13253},[295],[236,13255,13257,13277],{"className":13256},[299,300],[236,13258,13260,13274],{"className":13259},[304],[236,13261,13263],{"className":13262,"style":10093},[308],[236,13264,13265,13268],{"style":412},[236,13266],{"className":13267,"style":317},[316],[236,13269,13271],{"className":13270},[321,322,323,324],[236,13272,10004],{"className":13273},[286,290,324],[236,13275,333],{"className":13276},[332],[236,13278,13280],{"className":13279},[304],[236,13281,13283],{"className":13282,"style":340},[308],[236,13284],{},[236,13286],{"className":13287,"style":639},[437],[236,13289,13226],{"className":13290},[643],[236,13292],{"className":13293,"style":639},[437],[236,13295,13297,13300],{"className":13296},[277],[236,13298],{"className":13299,"style":282},[281],[236,13301,13303,13306],{"className":13302},[286],[236,13304,364],{"className":13305,"style":397},[286,290],[236,13307,13309],{"className":13308},[295],[236,13310,13312,13332],{"className":13311},[299,300],[236,13313,13315,13329],{"className":13314},[304],[236,13316,13318],{"className":13317,"style":672},[308],[236,13319,13320,13323],{"style":412},[236,13321],{"className":13322,"style":317},[316],[236,13324,13326],{"className":13325},[321,322,323,324],[236,13327,11169],{"className":13328},[286,290,324],[236,13330,333],{"className":13331},[332],[236,13333,13335],{"className":13334},[304],[236,13336,13338],{"className":13337,"style":340},[308],[236,13339],{},"）",[345,13342,13343],{},[496,13344],{"alt":13345,"src":13346},"General theory of n and p","\u002Fimg\u002FMicroelectronicDevices\u002FLecture3-06.png",[345,13348,13349],{},"可抄公式。",[231,13351,13353],{"id":13352},"carrier-concentration-at-extremely-high-and-low-temperatures-极端温度下的载流子浓度","Carrier Concentration at Extremely High and Low Temperatures ｜ 极端温度下的载流子浓度",[345,13355,13356],{},[496,13357],{"alt":13358,"src":13359},"Carrier concentration vs temperature","\u002Fimg\u002FMicroelectronicDevices\u002FLecture3-07.png",[345,13361,13362],{},"就是掺杂半导体载流子浓度如何随温度变化。",[13364,13365,13366,13771],"ol",{},[8982,13367,13368,13369,13372,13373,13376,13377],{},"The temperature is ",[4073,13370,13371],{},"extremely high",": a large number of valence band electrons are excited to the conduction band, and the effect of doping is relatively small, ",[4073,13374,13375],{},"approximate intrinsic behavior",". ｜ 当温度很高时，掺杂的半导体就表现为接近本征半导体未掺杂时的情况了。",[236,13378,13380],{"className":13379},[506],[236,13381,13383,13451],{"className":13382},[239],[236,13384,13386],{"className":13385},[243],[245,13387,13388],{"xmlns":247,"display":515},[249,13389,13390,13448],{},[252,13391,13392,13394,13396,13398,13400,13406,13408,13424,13426],{},[258,13393,522],{},[369,13395,525],{},[258,13397,345],{},[369,13399,525],{},[255,13401,13402,13404],{},[258,13403,522],{},[258,13405,1408],{},[369,13407,525],{},[9464,13409,13410],{},[252,13411,13412,13418],{},[255,13413,13414,13416],{},[258,13415,364],{},[258,13417,532],{},[255,13419,13420,13422],{},[258,13421,364],{},[258,13423,1261],{},[575,13425,9449],{},[534,13427,13428,13430],{},[258,13429,538],{},[252,13431,13432,13434,13440,13442,13444,13446],{},[369,13433,371],{},[255,13435,13436,13438],{},[258,13437,260],{},[258,13439,11093],{},[258,13441,567],{"mathvariant":566},[2091,13443,2093],{},[258,13445,570],{},[258,13447,573],{},[265,13449,13450],{"encoding":267},"n = p = n_i = \\sqrt{N_c N_v}\\, e^{-E_g \u002F 2kT}",[236,13452,13454,13472,13490,13545],{"className":13453,"ariaHidden":273},[272],[236,13455,13457,13460,13463,13466,13469],{"className":13456},[277],[236,13458],{"className":13459,"style":632},[281],[236,13461,522],{"className":13462},[286,290],[236,13464],{"className":13465,"style":639},[437],[236,13467,525],{"className":13468},[643],[236,13470],{"className":13471,"style":639},[437],[236,13473,13475,13478,13481,13484,13487],{"className":13474},[277],[236,13476],{"className":13477,"style":1583},[281],[236,13479,345],{"className":13480},[286,290],[236,13482],{"className":13483,"style":639},[437],[236,13485,525],{"className":13486},[643],[236,13488],{"className":13489,"style":639},[437],[236,13491,13493,13496,13536,13539,13542],{"className":13492},[277],[236,13494],{"className":13495,"style":3957},[281],[236,13497,13499,13502],{"className":13498},[286],[236,13500,522],{"className":13501},[286,290],[236,13503,13505],{"className":13504},[295],[236,13506,13508,13528],{"className":13507},[299,300],[236,13509,13511,13525],{"className":13510},[304],[236,13512,13514],{"className":13513,"style":1439},[308],[236,13515,13516,13519],{"style":3715},[236,13517],{"className":13518,"style":317},[316],[236,13520,13522],{"className":13521},[321,322,323,324],[236,13523,1408],{"className":13524},[286,290,324],[236,13526,333],{"className":13527},[332],[236,13529,13531],{"className":13530},[304],[236,13532,13534],{"className":13533,"style":340},[308],[236,13535],{},[236,13537],{"className":13538,"style":639},[437],[236,13540,525],{"className":13541},[643],[236,13543],{"className":13544,"style":639},[437],[236,13546,13548,13552,13685,13688],{"className":13547},[277],[236,13549],{"className":13550,"style":13551},[281],"height:1.24em;vertical-align:-0.2395em;",[236,13553,13555],{"className":13554},[286,9641],[236,13556,13558,13676],{"className":13557},[299,300],[236,13559,13561,13673],{"className":13560},[304],[236,13562,13565,13656],{"className":13563,"style":13564},[308],"height:1.0005em;",[236,13566,13569,13573],{"className":13567,"style":13568},[9655],"top:-3.2em;",[236,13570],{"className":13571,"style":13572},[316],"height:3.2em;",[236,13574,13576,13616],{"className":13575,"style":9664},[286],[236,13577,13579,13582],{"className":13578},[286],[236,13580,364],{"className":13581,"style":397},[286,290],[236,13583,13585],{"className":13584},[295],[236,13586,13588,13608],{"className":13587},[299,300],[236,13589,13591,13605],{"className":13590},[304],[236,13592,13594],{"className":13593,"style":672},[308],[236,13595,13596,13599],{"style":412},[236,13597],{"className":13598,"style":317},[316],[236,13600,13602],{"className":13601},[321,322,323,324],[236,13603,532],{"className":13604},[286,290,324],[236,13606,333],{"className":13607},[332],[236,13609,13611],{"className":13610},[304],[236,13612,13614],{"className":13613,"style":340},[308],[236,13615],{},[236,13617,13619,13622],{"className":13618},[286],[236,13620,364],{"className":13621,"style":397},[286,290],[236,13623,13625],{"className":13624},[295],[236,13626,13628,13648],{"className":13627},[299,300],[236,13629,13631,13645],{"className":13630},[304],[236,13632,13634],{"className":13633,"style":672},[308],[236,13635,13636,13639],{"style":412},[236,13637],{"className":13638,"style":317},[316],[236,13640,13642],{"className":13641},[321,322,323,324],[236,13643,1261],{"className":13644,"style":1303},[286,290,324],[236,13646,333],{"className":13647},[332],[236,13649,13651],{"className":13650},[304],[236,13652,13654],{"className":13653,"style":340},[308],[236,13655],{},[236,13657,13659,13662],{"style":13658},"top:-2.9605em;",[236,13660],{"className":13661,"style":13572},[316],[236,13663,13666],{"className":13664,"style":13665},[9737],"min-width:1.02em;height:1.28em;",[9740,13667,13670],{"xmlns":9742,"width":9743,"height":13668,"viewBox":13669,"preserveAspectRatio":9746},"1.28em","0 0 400000 1296",[9748,13671],{"d":13672},"M263,681c0.7,0,18,39.7,52,119\nc34,79.3,68.167,158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120\nc340,-704.7,510.7,-1060.3,512,-1067\nl0 -0\nc4.7,-7.3,11,-11,19,-11\nH40000v40H1012.3\ns-271.3,567,-271.3,567c-38.7,80.7,-84,175,-136,283c-52,108,-89.167,185.3,-111.5,232\nc-22.3,46.7,-33.8,70.3,-34.5,71c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1\ns-109,-253,-109,-253c-72.7,-168,-109.3,-252,-110,-252c-10.7,8,-22,16.7,-34,26\nc-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26s76,-59,76,-59s76,-60,76,-60z\nM1001 80h400000v40h-400000z",[236,13674,333],{"className":13675},[332],[236,13677,13679],{"className":13678},[304],[236,13680,13683],{"className":13681,"style":13682},[308],"height:0.2395em;",[236,13684],{},[236,13686],{"className":13687,"style":980},[437],[236,13689,13691,13694],{"className":13690},[286],[236,13692,538],{"className":13693},[286,290],[236,13695,13697],{"className":13696},[295],[236,13698,13700],{"className":13699},[299],[236,13701,13703],{"className":13702},[304],[236,13704,13706],{"className":13705,"style":713},[308],[236,13707,13708,13711],{"style":716},[236,13709],{"className":13710,"style":317},[316],[236,13712,13714],{"className":13713},[321,322,323,324],[236,13715,13717,13720,13761,13765,13768],{"className":13716},[286,324],[236,13718,371],{"className":13719},[286,324],[236,13721,13723,13726],{"className":13722},[286,324],[236,13724,260],{"className":13725,"style":291},[286,290,324],[236,13727,13729],{"className":13728},[295],[236,13730,13732,13752],{"className":13731},[299,300],[236,13733,13735,13749],{"className":13734},[304],[236,13736,13738],{"className":13737,"style":751},[308],[236,13739,13740,13743],{"style":754},[236,13741],{"className":13742,"style":758},[316],[236,13744,13746],{"className":13745},[321,762,763,324],[236,13747,11093],{"className":13748,"style":1303},[286,290,324],[236,13750,333],{"className":13751},[332],[236,13753,13755],{"className":13754},[304],[236,13756,13759],{"className":13757,"style":13758},[308],"height:0.2819em;",[236,13760],{},[236,13762,13764],{"className":13763},[286,324],"\u002F2",[236,13766,570],{"className":13767,"style":835},[286,290,324],[236,13769,573],{"className":13770,"style":328},[286,290,324],[8982,13772,13368,13773,13776,13777,13780,13781,13809,13810],{},[4073,13774,13775],{},"extremely low",": ",[4073,13778,13779],{},"freeze out",". ｜ 电子基本上不电离，只有少量热激发的电子进入导带，",[236,13782,13784,13797],{"className":13783},[239],[236,13785,13787],{"className":13786},[243],[245,13788,13789],{"xmlns":247},[249,13790,13791,13795],{},[252,13792,13793],{},[258,13794,522],{},[265,13796,522],{"encoding":267},[236,13798,13800],{"className":13799,"ariaHidden":273},[272],[236,13801,13803,13806],{"className":13802},[277],[236,13804],{"className":13805,"style":632},[281],[236,13807,522],{"className":13808},[286,290]," 随降温快速下降。",[236,13811,13813],{"className":13812},[506],[236,13814,13816,13888],{"className":13815},[239],[236,13817,13819],{"className":13818},[243],[245,13820,13821],{"xmlns":247,"display":515},[249,13822,13823,13885],{},[252,13824,13825,13827,13829,13849,13851],{},[258,13826,522],{},[369,13828,525],{},[9464,13830,13831],{},[610,13832,13833,13847],{},[252,13834,13835,13841],{},[255,13836,13837,13839],{},[258,13838,364],{},[258,13840,532],{},[255,13842,13843,13845],{},[258,13844,364],{},[258,13846,10004],{},[2091,13848,2093],{},[575,13850,9449],{},[534,13852,13853,13855],{},[258,13854,538],{},[252,13856,13857,13859,13861,13867,13869,13875,13877,13879,13881,13883],{},[369,13858,371],{},[369,13860,546],{"stretchy":545},[255,13862,13863,13865],{},[258,13864,260],{},[258,13866,532],{},[369,13868,371],{},[255,13870,13871,13873],{},[258,13872,260],{},[258,13874,10004],{},[369,13876,563],{"stretchy":545},[258,13878,567],{"mathvariant":566},[2091,13880,2093],{},[258,13882,570],{},[258,13884,573],{},[265,13886,13887],{"encoding":267},"n = \\sqrt{\\frac{N_c N_d}{2}}\\, e^{-(E_c - E_d)\u002F2kT}",[236,13889,13891,13909],{"className":13890,"ariaHidden":273},[272],[236,13892,13894,13897,13900,13903,13906],{"className":13893},[277],[236,13895],{"className":13896,"style":632},[281],[236,13898,522],{"className":13899},[286,290],[236,13901],{"className":13902,"style":639},[437],[236,13904,525],{"className":13905},[643],[236,13907],{"className":13908,"style":639},[437],[236,13910,13912,13916,14102,14105],{"className":13911},[277],[236,13913],{"className":13914,"style":13915},[281],"height:2.44em;vertical-align:-0.769em;",[236,13917,13919],{"className":13918},[286,9641],[236,13920,13922,14093],{"className":13921},[299,300],[236,13923,13925,14090],{"className":13924},[304],[236,13926,13929,14077],{"className":13927,"style":13928},[308],"height:1.671em;",[236,13930,13932,13935],{"className":13931,"style":9656},[9655],[236,13933],{"className":13934,"style":9660},[316],[236,13936,13938],{"className":13937,"style":9664},[286],[236,13939,13941,13944,14074],{"className":13940},[286],[236,13942],{"className":13943},[732,994],[236,13945,13947],{"className":13946},[610],[236,13948,13950,14066],{"className":13949},[299,300],[236,13951,13953,14063],{"className":13952},[304],[236,13954,13956,13967,13975],{"className":13955,"style":1007},[308],[236,13957,13958,13961],{"style":1010},[236,13959],{"className":13960,"style":1014},[316],[236,13962,13964],{"className":13963},[286],[236,13965,2093],{"className":13966},[286],[236,13968,13969,13972],{"style":1023},[236,13970],{"className":13971,"style":1014},[316],[236,13973],{"className":13974,"style":1031},[1030],[236,13976,13977,13980],{"style":1034},[236,13978],{"className":13979,"style":1014},[316],[236,13981,13983,14023],{"className":13982},[286],[236,13984,13986,13989],{"className":13985},[286],[236,13987,364],{"className":13988,"style":397},[286,290],[236,13990,13992],{"className":13991},[295],[236,13993,13995,14015],{"className":13994},[299,300],[236,13996,13998,14012],{"className":13997},[304],[236,13999,14001],{"className":14000,"style":672},[308],[236,14002,14003,14006],{"style":412},[236,14004],{"className":14005,"style":317},[316],[236,14007,14009],{"className":14008},[321,322,323,324],[236,14010,532],{"className":14011},[286,290,324],[236,14013,333],{"className":14014},[332],[236,14016,14018],{"className":14017},[304],[236,14019,14021],{"className":14020,"style":340},[308],[236,14022],{},[236,14024,14026,14029],{"className":14025},[286],[236,14027,364],{"className":14028,"style":397},[286,290],[236,14030,14032],{"className":14031},[295],[236,14033,14035,14055],{"className":14034},[299,300],[236,14036,14038,14052],{"className":14037},[304],[236,14039,14041],{"className":14040,"style":10093},[308],[236,14042,14043,14046],{"style":412},[236,14044],{"className":14045,"style":317},[316],[236,14047,14049],{"className":14048},[321,322,323,324],[236,14050,10004],{"className":14051},[286,290,324],[236,14053,333],{"className":14054},[332],[236,14056,14058],{"className":14057},[304],[236,14059,14061],{"className":14060,"style":340},[308],[236,14062],{},[236,14064,333],{"className":14065},[332],[236,14067,14069],{"className":14068},[304],[236,14070,14072],{"className":14071,"style":1090},[308],[236,14073],{},[236,14075],{"className":14076},[828,994],[236,14078,14080,14083],{"style":14079},"top:-3.631em;",[236,14081],{"className":14082,"style":9660},[316],[236,14084,14086],{"className":14085,"style":9738},[9737],[9740,14087,14088],{"xmlns":9742,"width":9743,"height":9744,"viewBox":9745,"preserveAspectRatio":9746},[9748,14089],{"d":9750},[236,14091,333],{"className":14092},[332],[236,14094,14096],{"className":14095},[304],[236,14097,14100],{"className":14098,"style":14099},[308],"height:0.769em;",[236,14101],{},[236,14103],{"className":14104,"style":980},[437],[236,14106,14108,14111],{"className":14107},[286],[236,14109,538],{"className":14110},[286,290],[236,14112,14114],{"className":14113},[295],[236,14115,14117],{"className":14116},[299],[236,14118,14120],{"className":14119},[304],[236,14121,14123],{"className":14122,"style":713},[308],[236,14124,14125,14128],{"style":716},[236,14126],{"className":14127,"style":317},[316],[236,14129,14131],{"className":14130},[321,322,323,324],[236,14132,14134,14137,14140,14180,14183,14223,14226,14229,14232],{"className":14133},[286,324],[236,14135,371],{"className":14136},[286,324],[236,14138,546],{"className":14139},[732,324],[236,14141,14143,14146],{"className":14142},[286,324],[236,14144,260],{"className":14145,"style":291},[286,290,324],[236,14147,14149],{"className":14148},[295],[236,14150,14152,14172],{"className":14151},[299,300],[236,14153,14155,14169],{"className":14154},[304],[236,14156,14158],{"className":14157,"style":751},[308],[236,14159,14160,14163],{"style":754},[236,14161],{"className":14162,"style":758},[316],[236,14164,14166],{"className":14165},[321,762,763,324],[236,14167,532],{"className":14168},[286,290,324],[236,14170,333],{"className":14171},[332],[236,14173,14175],{"className":14174},[304],[236,14176,14178],{"className":14177,"style":776},[308],[236,14179],{},[236,14181,371],{"className":14182},[442,324],[236,14184,14186,14189],{"className":14185},[286,324],[236,14187,260],{"className":14188,"style":291},[286,290,324],[236,14190,14192],{"className":14191},[295],[236,14193,14195,14215],{"className":14194},[299,300],[236,14196,14198,14212],{"className":14197},[304],[236,14199,14201],{"className":14200,"style":800},[308],[236,14202,14203,14206],{"style":10967},[236,14204],{"className":14205,"style":758},[316],[236,14207,14209],{"className":14208},[321,762,763,324],[236,14210,10004],{"className":14211},[286,290,324],[236,14213,333],{"className":14214},[332],[236,14216,14218],{"className":14217},[304],[236,14219,14221],{"className":14220,"style":10986},[308],[236,14222],{},[236,14224,563],{"className":14225},[828,324],[236,14227,13764],{"className":14228},[286,324],[236,14230,570],{"className":14231,"style":835},[286,290,324],[236,14233,573],{"className":14234,"style":328},[286,290,324],[231,14236,14238],{"id":14237},"infrared-detector-based-on-freeze-out-基于-freeze-out-的红外探测器","Infrared Detector Based on Freeze-out ｜ 基于 Freeze-out 的红外探测器",[345,14240,14241],{},[496,14242],{"alt":14243,"src":14244},"Infrared detector","\u002Fimg\u002FMicroelectronicDevices\u002FLecture3-08.png",[345,14246,14247,14248,14251,14252,14255],{},"In doped Si operating in the ",[4073,14249,14250],{},"freeze-out mode",", conduction electrons are created when the ",[4073,14253,14254],{},"infrared"," photons provide the energy to ionize the donor atoms.",[345,14257,14258,14259,14262,14263,14266,14267,14326],{},"把掺杂 Si 冷到 freeze-out，",[4073,14260,14261],{},"让施主几乎都保持中性","，此时几乎没有热生成电子；让红外光子把施主上的电子打到导带，靠这种",[4073,14264,14265],{},"光致电离","来产生导电电子并输出信号，就能探测到 ",[236,14268,14270,14293],{"className":14269},[239],[236,14271,14273],{"className":14272},[243],[245,14274,14275],{"xmlns":247},[249,14276,14277,14290],{},[252,14278,14279,14282,14285,14287],{},[369,14280,14281],{},"∼",[2091,14283,14284],{},"0.1",[575,14286,9449],{},[575,14288,14289],{},"eV",[265,14291,14292],{"encoding":267},"\\sim 0.1\\,\\text{eV}",[236,14294,14296,14308],{"className":14295,"ariaHidden":273},[272],[236,14297,14299,14302,14305],{"className":14298},[277],[236,14300],{"className":14301,"style":9012},[281],[236,14303,14281],{"className":14304},[643],[236,14306],{"className":14307,"style":639},[437],[236,14309,14311,14314,14317,14320],{"className":14310},[277],[236,14312],{"className":14313,"style":9800},[281],[236,14315,14284],{"className":14316},[286],[236,14318],{"className":14319,"style":980},[437],[236,14321,14323],{"className":14322},[286,10470],[236,14324,14289],{"className":14325},[286]," 的黑体辐射。了解一下即可。",[1097,14328,14329,14334],{},[345,14330,14331],{},[4073,14332,14333],{},"Summary: Important Relations",[8979,14335,14336,14592,14843,15099,15350,15506,15663],{},[8982,14337,14338],{},[236,14339,14341,14395],{"className":14340},[239],[236,14342,14344],{"className":14343},[243],[245,14345,14346],{"xmlns":247},[249,14347,14348,14392],{},[252,14349,14350,14352,14354,14360],{},[258,14351,522],{},[369,14353,525],{},[255,14355,14356,14358],{},[258,14357,364],{},[258,14359,532],{},[534,14361,14362,14364],{},[258,14363,538],{},[252,14365,14366,14368,14370,14376,14378,14384,14386,14388,14390],{},[369,14367,371],{},[369,14369,546],{"stretchy":545},[255,14371,14372,14374],{},[258,14373,260],{},[258,14375,532],{},[369,14377,371],{},[255,14379,14380,14382],{},[258,14381,260],{},[258,14383,263],{},[369,14385,563],{"stretchy":545},[258,14387,567],{"mathvariant":566},[258,14389,570],{},[258,14391,573],{},[265,14393,14394],{"encoding":267},"n = N_c e^{-(E_c - E_F)\u002FkT}",[236,14396,14398,14416],{"className":14397,"ariaHidden":273},[272],[236,14399,14401,14404,14407,14410,14413],{"className":14400},[277],[236,14402],{"className":14403,"style":632},[281],[236,14405,522],{"className":14406},[286,290],[236,14408],{"className":14409,"style":639},[437],[236,14411,525],{"className":14412},[643],[236,14414],{"className":14415,"style":639},[437],[236,14417,14419,14422,14462],{"className":14418},[277],[236,14420],{"className":14421,"style":10131},[281],[236,14423,14425,14428],{"className":14424},[286],[236,14426,364],{"className":14427,"style":397},[286,290],[236,14429,14431],{"className":14430},[295],[236,14432,14434,14454],{"className":14433},[299,300],[236,14435,14437,14451],{"className":14436},[304],[236,14438,14440],{"className":14439,"style":672},[308],[236,14441,14442,14445],{"style":412},[236,14443],{"className":14444,"style":317},[316],[236,14446,14448],{"className":14447},[321,322,323,324],[236,14449,532],{"className":14450},[286,290,324],[236,14452,333],{"className":14453},[332],[236,14455,14457],{"className":14456},[304],[236,14458,14460],{"className":14459,"style":340},[308],[236,14461],{},[236,14463,14465,14468],{"className":14464},[286],[236,14466,538],{"className":14467},[286,290],[236,14469,14471],{"className":14470},[295],[236,14472,14474],{"className":14473},[299],[236,14475,14477],{"className":14476},[304],[236,14478,14480],{"className":14479,"style":6155},[308],[236,14481,14482,14485],{"style":3177},[236,14483],{"className":14484,"style":317},[316],[236,14486,14488],{"className":14487},[321,322,323,324],[236,14489,14491,14494,14497,14537,14540,14580,14583,14586,14589],{"className":14490},[286,324],[236,14492,371],{"className":14493},[286,324],[236,14495,546],{"className":14496},[732,324],[236,14498,14500,14503],{"className":14499},[286,324],[236,14501,260],{"className":14502,"style":291},[286,290,324],[236,14504,14506],{"className":14505},[295],[236,14507,14509,14529],{"className":14508},[299,300],[236,14510,14512,14526],{"className":14511},[304],[236,14513,14515],{"className":14514,"style":751},[308],[236,14516,14517,14520],{"style":754},[236,14518],{"className":14519,"style":758},[316],[236,14521,14523],{"className":14522},[321,762,763,324],[236,14524,532],{"className":14525},[286,290,324],[236,14527,333],{"className":14528},[332],[236,14530,14532],{"className":14531},[304],[236,14533,14535],{"className":14534,"style":776},[308],[236,14536],{},[236,14538,371],{"className":14539},[442,324],[236,14541,14543,14546],{"className":14542},[286,324],[236,14544,260],{"className":14545,"style":291},[286,290,324],[236,14547,14549],{"className":14548},[295],[236,14550,14552,14572],{"className":14551},[299,300],[236,14553,14555,14569],{"className":14554},[304],[236,14556,14558],{"className":14557,"style":800},[308],[236,14559,14560,14563],{"style":803},[236,14561],{"className":14562,"style":758},[316],[236,14564,14566],{"className":14565},[321,762,763,324],[236,14567,263],{"className":14568,"style":328},[286,290,324],[236,14570,333],{"className":14571},[332],[236,14573,14575],{"className":14574},[304],[236,14576,14578],{"className":14577,"style":822},[308],[236,14579],{},[236,14581,563],{"className":14582},[828,324],[236,14584,567],{"className":14585},[286,324],[236,14587,570],{"className":14588,"style":835},[286,290,324],[236,14590,573],{"className":14591,"style":328},[286,290,324],[8982,14593,14594],{},[236,14595,14597,14649],{"className":14596},[239],[236,14598,14600],{"className":14599},[243],[245,14601,14602],{"xmlns":247},[249,14603,14604,14646],{},[252,14605,14606,14608,14610,14616],{},[258,14607,522],{},[369,14609,525],{},[255,14611,14612,14614],{},[258,14613,522],{},[258,14615,1408],{},[534,14617,14618,14620],{},[258,14619,538],{},[252,14621,14622,14624,14630,14632,14638,14640,14642,14644],{},[369,14623,546],{"stretchy":545},[255,14625,14626,14628],{},[258,14627,260],{},[258,14629,263],{},[369,14631,371],{},[255,14633,14634,14636],{},[258,14635,260],{},[258,14637,1408],{},[369,14639,563],{"stretchy":545},[258,14641,567],{"mathvariant":566},[258,14643,570],{},[258,14645,573],{},[265,14647,14648],{"encoding":267},"n = n_i e^{(E_F - E_i)\u002FkT}",[236,14650,14652,14670],{"className":14651,"ariaHidden":273},[272],[236,14653,14655,14658,14661,14664,14667],{"className":14654},[277],[236,14656],{"className":14657,"style":632},[281],[236,14659,522],{"className":14660},[286,290],[236,14662],{"className":14663,"style":639},[437],[236,14665,525],{"className":14666},[643],[236,14668],{"className":14669,"style":639},[437],[236,14671,14673,14676,14716],{"className":14672},[277],[236,14674],{"className":14675,"style":10131},[281],[236,14677,14679,14682],{"className":14678},[286],[236,14680,522],{"className":14681},[286,290],[236,14683,14685],{"className":14684},[295],[236,14686,14688,14708],{"className":14687},[299,300],[236,14689,14691,14705],{"className":14690},[304],[236,14692,14694],{"className":14693,"style":1439},[308],[236,14695,14696,14699],{"style":3715},[236,14697],{"className":14698,"style":317},[316],[236,14700,14702],{"className":14701},[321,322,323,324],[236,14703,1408],{"className":14704},[286,290,324],[236,14706,333],{"className":14707},[332],[236,14709,14711],{"className":14710},[304],[236,14712,14714],{"className":14713,"style":340},[308],[236,14715],{},[236,14717,14719,14722],{"className":14718},[286],[236,14720,538],{"className":14721},[286,290],[236,14723,14725],{"className":14724},[295],[236,14726,14728],{"className":14727},[299],[236,14729,14731],{"className":14730},[304],[236,14732,14734],{"className":14733,"style":6155},[308],[236,14735,14736,14739],{"style":3177},[236,14737],{"className":14738,"style":317},[316],[236,14740,14742],{"className":14741},[321,322,323,324],[236,14743,14745,14748,14788,14791,14831,14834,14837,14840],{"className":14744},[286,324],[236,14746,546],{"className":14747},[732,324],[236,14749,14751,14754],{"className":14750},[286,324],[236,14752,260],{"className":14753,"style":291},[286,290,324],[236,14755,14757],{"className":14756},[295],[236,14758,14760,14780],{"className":14759},[299,300],[236,14761,14763,14777],{"className":14762},[304],[236,14764,14766],{"className":14765,"style":800},[308],[236,14767,14768,14771],{"style":803},[236,14769],{"className":14770,"style":758},[316],[236,14772,14774],{"className":14773},[321,762,763,324],[236,14775,263],{"className":14776,"style":328},[286,290,324],[236,14778,333],{"className":14779},[332],[236,14781,14783],{"className":14782},[304],[236,14784,14786],{"className":14785,"style":822},[308],[236,14787],{},[236,14789,371],{"className":14790},[442,324],[236,14792,14794,14797],{"className":14793},[286,324],[236,14795,260],{"className":14796,"style":291},[286,290,324],[236,14798,14800],{"className":14799},[295],[236,14801,14803,14823],{"className":14802},[299,300],[236,14804,14806,14820],{"className":14805},[304],[236,14807,14809],{"className":14808,"style":4660},[308],[236,14810,14811,14814],{"style":754},[236,14812],{"className":14813,"style":758},[316],[236,14815,14817],{"className":14816},[321,762,763,324],[236,14818,1408],{"className":14819},[286,290,324],[236,14821,333],{"className":14822},[332],[236,14824,14826],{"className":14825},[304],[236,14827,14829],{"className":14828,"style":776},[308],[236,14830],{},[236,14832,563],{"className":14833},[828,324],[236,14835,567],{"className":14836},[286,324],[236,14838,570],{"className":14839,"style":835},[286,290,324],[236,14841,573],{"className":14842,"style":328},[286,290,324],[8982,14844,14845],{},[236,14846,14848,14902],{"className":14847},[239],[236,14849,14851],{"className":14850},[243],[245,14852,14853],{"xmlns":247},[249,14854,14855,14899],{},[252,14856,14857,14859,14861,14867],{},[258,14858,345],{},[369,14860,525],{},[255,14862,14863,14865],{},[258,14864,364],{},[258,14866,1261],{},[534,14868,14869,14871],{},[258,14870,538],{},[252,14872,14873,14875,14877,14883,14885,14891,14893,14895,14897],{},[369,14874,371],{},[369,14876,546],{"stretchy":545},[255,14878,14879,14881],{},[258,14880,260],{},[258,14882,263],{},[369,14884,371],{},[255,14886,14887,14889],{},[258,14888,260],{},[258,14890,1261],{},[369,14892,563],{"stretchy":545},[258,14894,567],{"mathvariant":566},[258,14896,570],{},[258,14898,573],{},[265,14900,14901],{"encoding":267},"p = N_v e^{-(E_F - E_v)\u002FkT}",[236,14903,14905,14923],{"className":14904,"ariaHidden":273},[272],[236,14906,14908,14911,14914,14917,14920],{"className":14907},[277],[236,14909],{"className":14910,"style":1583},[281],[236,14912,345],{"className":14913},[286,290],[236,14915],{"className":14916,"style":639},[437],[236,14918,525],{"className":14919},[643],[236,14921],{"className":14922,"style":639},[437],[236,14924,14926,14929,14969],{"className":14925},[277],[236,14927],{"className":14928,"style":10131},[281],[236,14930,14932,14935],{"className":14931},[286],[236,14933,364],{"className":14934,"style":397},[286,290],[236,14936,14938],{"className":14937},[295],[236,14939,14941,14961],{"className":14940},[299,300],[236,14942,14944,14958],{"className":14943},[304],[236,14945,14947],{"className":14946,"style":672},[308],[236,14948,14949,14952],{"style":412},[236,14950],{"className":14951,"style":317},[316],[236,14953,14955],{"className":14954},[321,322,323,324],[236,14956,1261],{"className":14957,"style":1303},[286,290,324],[236,14959,333],{"className":14960},[332],[236,14962,14964],{"className":14963},[304],[236,14965,14967],{"className":14966,"style":340},[308],[236,14968],{},[236,14970,14972,14975],{"className":14971},[286],[236,14973,538],{"className":14974},[286,290],[236,14976,14978],{"className":14977},[295],[236,14979,14981],{"className":14980},[299],[236,14982,14984],{"className":14983},[304],[236,14985,14987],{"className":14986,"style":6155},[308],[236,14988,14989,14992],{"style":3177},[236,14990],{"className":14991,"style":317},[316],[236,14993,14995],{"className":14994},[321,322,323,324],[236,14996,14998,15001,15004,15044,15047,15087,15090,15093,15096],{"className":14997},[286,324],[236,14999,371],{"className":15000},[286,324],[236,15002,546],{"className":15003},[732,324],[236,15005,15007,15010],{"className":15006},[286,324],[236,15008,260],{"className":15009,"style":291},[286,290,324],[236,15011,15013],{"className":15012},[295],[236,15014,15016,15036],{"className":15015},[299,300],[236,15017,15019,15033],{"className":15018},[304],[236,15020,15022],{"className":15021,"style":800},[308],[236,15023,15024,15027],{"style":803},[236,15025],{"className":15026,"style":758},[316],[236,15028,15030],{"className":15029},[321,762,763,324],[236,15031,263],{"className":15032,"style":328},[286,290,324],[236,15034,333],{"className":15035},[332],[236,15037,15039],{"className":15038},[304],[236,15040,15042],{"className":15041,"style":822},[308],[236,15043],{},[236,15045,371],{"className":15046},[442,324],[236,15048,15050,15053],{"className":15049},[286,324],[236,15051,260],{"className":15052,"style":291},[286,290,324],[236,15054,15056],{"className":15055},[295],[236,15057,15059,15079],{"className":15058},[299,300],[236,15060,15062,15076],{"className":15061},[304],[236,15063,15065],{"className":15064,"style":751},[308],[236,15066,15067,15070],{"style":754},[236,15068],{"className":15069,"style":758},[316],[236,15071,15073],{"className":15072},[321,762,763,324],[236,15074,1261],{"className":15075,"style":1303},[286,290,324],[236,15077,333],{"className":15078},[332],[236,15080,15082],{"className":15081},[304],[236,15083,15085],{"className":15084,"style":776},[308],[236,15086],{},[236,15088,563],{"className":15089},[828,324],[236,15091,567],{"className":15092},[286,324],[236,15094,570],{"className":15095,"style":835},[286,290,324],[236,15097,573],{"className":15098,"style":328},[286,290,324],[8982,15100,15101],{},[236,15102,15104,15156],{"className":15103},[239],[236,15105,15107],{"className":15106},[243],[245,15108,15109],{"xmlns":247},[249,15110,15111,15153],{},[252,15112,15113,15115,15117,15123],{},[258,15114,345],{},[369,15116,525],{},[255,15118,15119,15121],{},[258,15120,522],{},[258,15122,1408],{},[534,15124,15125,15127],{},[258,15126,538],{},[252,15128,15129,15131,15137,15139,15145,15147,15149,15151],{},[369,15130,546],{"stretchy":545},[255,15132,15133,15135],{},[258,15134,260],{},[258,15136,1408],{},[369,15138,371],{},[255,15140,15141,15143],{},[258,15142,260],{},[258,15144,263],{},[369,15146,563],{"stretchy":545},[258,15148,567],{"mathvariant":566},[258,15150,570],{},[258,15152,573],{},[265,15154,15155],{"encoding":267},"p = n_i e^{(E_i - E_F)\u002FkT}",[236,15157,15159,15177],{"className":15158,"ariaHidden":273},[272],[236,15160,15162,15165,15168,15171,15174],{"className":15161},[277],[236,15163],{"className":15164,"style":1583},[281],[236,15166,345],{"className":15167},[286,290],[236,15169],{"className":15170,"style":639},[437],[236,15172,525],{"className":15173},[643],[236,15175],{"className":15176,"style":639},[437],[236,15178,15180,15183,15223],{"className":15179},[277],[236,15181],{"className":15182,"style":10131},[281],[236,15184,15186,15189],{"className":15185},[286],[236,15187,522],{"className":15188},[286,290],[236,15190,15192],{"className":15191},[295],[236,15193,15195,15215],{"className":15194},[299,300],[236,15196,15198,15212],{"className":15197},[304],[236,15199,15201],{"className":15200,"style":1439},[308],[236,15202,15203,15206],{"style":3715},[236,15204],{"className":15205,"style":317},[316],[236,15207,15209],{"className":15208},[321,322,323,324],[236,15210,1408],{"className":15211},[286,290,324],[236,15213,333],{"className":15214},[332],[236,15216,15218],{"className":15217},[304],[236,15219,15221],{"className":15220,"style":340},[308],[236,15222],{},[236,15224,15226,15229],{"className":15225},[286],[236,15227,538],{"className":15228},[286,290],[236,15230,15232],{"className":15231},[295],[236,15233,15235],{"className":15234},[299],[236,15236,15238],{"className":15237},[304],[236,15239,15241],{"className":15240,"style":6155},[308],[236,15242,15243,15246],{"style":3177},[236,15244],{"className":15245,"style":317},[316],[236,15247,15249],{"className":15248},[321,322,323,324],[236,15250,15252,15255,15295,15298,15338,15341,15344,15347],{"className":15251},[286,324],[236,15253,546],{"className":15254},[732,324],[236,15256,15258,15261],{"className":15257},[286,324],[236,15259,260],{"className":15260,"style":291},[286,290,324],[236,15262,15264],{"className":15263},[295],[236,15265,15267,15287],{"className":15266},[299,300],[236,15268,15270,15284],{"className":15269},[304],[236,15271,15273],{"className":15272,"style":4660},[308],[236,15274,15275,15278],{"style":754},[236,15276],{"className":15277,"style":758},[316],[236,15279,15281],{"className":15280},[321,762,763,324],[236,15282,1408],{"className":15283},[286,290,324],[236,15285,333],{"className":15286},[332],[236,15288,15290],{"className":15289},[304],[236,15291,15293],{"className":15292,"style":776},[308],[236,15294],{},[236,15296,371],{"className":15297},[442,324],[236,15299,15301,15304],{"className":15300},[286,324],[236,15302,260],{"className":15303,"style":291},[286,290,324],[236,15305,15307],{"className":15306},[295],[236,15308,15310,15330],{"className":15309},[299,300],[236,15311,15313,15327],{"className":15312},[304],[236,15314,15316],{"className":15315,"style":800},[308],[236,15317,15318,15321],{"style":803},[236,15319],{"className":15320,"style":758},[316],[236,15322,15324],{"className":15323},[321,762,763,324],[236,15325,263],{"className":15326,"style":328},[286,290,324],[236,15328,333],{"className":15329},[332],[236,15331,15333],{"className":15332},[304],[236,15334,15336],{"className":15335,"style":822},[308],[236,15337],{},[236,15339,563],{"className":15340},[828,324],[236,15342,567],{"className":15343},[286,324],[236,15345,570],{"className":15346,"style":835},[286,290,324],[236,15348,573],{"className":15349,"style":328},[286,290,324],[8982,15351,15352],{},[236,15353,15355,15384],{"className":15354},[239],[236,15356,15358],{"className":15357},[243],[245,15359,15360],{"xmlns":247},[249,15361,15362,15382],{},[252,15363,15364,15366,15368,15374,15376],{},[258,15365,522],{},[369,15367,525],{},[255,15369,15370,15372],{},[258,15371,364],{},[258,15373,10004],{},[369,15375,371],{},[255,15377,15378,15380],{},[258,15379,364],{},[258,15381,11169],{},[265,15383,11172],{"encoding":267},[236,15385,15387,15405,15460],{"className":15386,"ariaHidden":273},[272],[236,15388,15390,15393,15396,15399,15402],{"className":15389},[277],[236,15391],{"className":15392,"style":632},[281],[236,15394,522],{"className":15395},[286,290],[236,15397],{"className":15398,"style":639},[437],[236,15400,525],{"className":15401},[643],[236,15403],{"className":15404,"style":639},[437],[236,15406,15408,15411,15451,15454,15457],{"className":15407},[277],[236,15409],{"className":15410,"style":282},[281],[236,15412,15414,15417],{"className":15413},[286],[236,15415,364],{"className":15416,"style":397},[286,290],[236,15418,15420],{"className":15419},[295],[236,15421,15423,15443],{"className":15422},[299,300],[236,15424,15426,15440],{"className":15425},[304],[236,15427,15429],{"className":15428,"style":10093},[308],[236,15430,15431,15434],{"style":412},[236,15432],{"className":15433,"style":317},[316],[236,15435,15437],{"className":15436},[321,322,323,324],[236,15438,10004],{"className":15439},[286,290,324],[236,15441,333],{"className":15442},[332],[236,15444,15446],{"className":15445},[304],[236,15447,15449],{"className":15448,"style":340},[308],[236,15450],{},[236,15452],{"className":15453,"style":438},[437],[236,15455,371],{"className":15456},[442],[236,15458],{"className":15459,"style":438},[437],[236,15461,15463,15466],{"className":15462},[277],[236,15464],{"className":15465,"style":282},[281],[236,15467,15469,15472],{"className":15468},[286],[236,15470,364],{"className":15471,"style":397},[286,290],[236,15473,15475],{"className":15474},[295],[236,15476,15478,15498],{"className":15477},[299,300],[236,15479,15481,15495],{"className":15480},[304],[236,15482,15484],{"className":15483,"style":672},[308],[236,15485,15486,15489],{"style":412},[236,15487],{"className":15488,"style":317},[316],[236,15490,15492],{"className":15491},[321,322,323,324],[236,15493,11169],{"className":15494},[286,290,324],[236,15496,333],{"className":15497},[332],[236,15499,15501],{"className":15500},[304],[236,15502,15504],{"className":15503,"style":340},[308],[236,15505],{},[8982,15507,15508],{},[236,15509,15511,15541],{"className":15510},[239],[236,15512,15514],{"className":15513},[243],[245,15515,15516],{"xmlns":247},[249,15517,15518,15538],{},[252,15519,15520,15522,15524,15530,15532],{},[258,15521,345],{},[369,15523,525],{},[255,15525,15526,15528],{},[258,15527,364],{},[258,15529,11169],{},[369,15531,371],{},[255,15533,15534,15536],{},[258,15535,364],{},[258,15537,10004],{},[265,15539,15540],{"encoding":267},"p = N_a - N_d",[236,15542,15544,15562,15617],{"className":15543,"ariaHidden":273},[272],[236,15545,15547,15550,15553,15556,15559],{"className":15546},[277],[236,15548],{"className":15549,"style":1583},[281],[236,15551,345],{"className":15552},[286,290],[236,15554],{"className":15555,"style":639},[437],[236,15557,525],{"className":15558},[643],[236,15560],{"className":15561,"style":639},[437],[236,15563,15565,15568,15608,15611,15614],{"className":15564},[277],[236,15566],{"className":15567,"style":282},[281],[236,15569,15571,15574],{"className":15570},[286],[236,15572,364],{"className":15573,"style":397},[286,290],[236,15575,15577],{"className":15576},[295],[236,15578,15580,15600],{"className":15579},[299,300],[236,15581,15583,15597],{"className":15582},[304],[236,15584,15586],{"className":15585,"style":672},[308],[236,15587,15588,15591],{"style":412},[236,15589],{"className":15590,"style":317},[316],[236,15592,15594],{"className":15593},[321,322,323,324],[236,15595,11169],{"className":15596},[286,290,324],[236,15598,333],{"className":15599},[332],[236,15601,15603],{"className":15602},[304],[236,15604,15606],{"className":15605,"style":340},[308],[236,15607],{},[236,15609],{"className":15610,"style":438},[437],[236,15612,371],{"className":15613},[442],[236,15615],{"className":15616,"style":438},[437],[236,15618,15620,15623],{"className":15619},[277],[236,15621],{"className":15622,"style":282},[281],[236,15624,15626,15629],{"className":15625},[286],[236,15627,364],{"className":15628,"style":397},[286,290],[236,15630,15632],{"className":15631},[295],[236,15633,15635,15655],{"className":15634},[299,300],[236,15636,15638,15652],{"className":15637},[304],[236,15639,15641],{"className":15640,"style":10093},[308],[236,15642,15643,15646],{"style":412},[236,15644],{"className":15645,"style":317},[316],[236,15647,15649],{"className":15648},[321,322,323,324],[236,15650,10004],{"className":15651},[286,290,324],[236,15653,333],{"className":15654},[332],[236,15656,15658],{"className":15657},[304],[236,15659,15661],{"className":15660,"style":340},[308],[236,15662],{},[8982,15664,15665],{},[236,15666,15668,15693],{"className":15667},[239],[236,15669,15671],{"className":15670},[243],[245,15672,15673],{"xmlns":247},[249,15674,15675,15691],{},[252,15676,15677,15679,15681,15683],{},[258,15678,522],{},[258,15680,345],{},[369,15682,525],{},[2697,15684,15685,15687,15689],{},[258,15686,522],{},[258,15688,1408],{},[2091,15690,2093],{},[265,15692,11711],{"encoding":267},[236,15694,15696,15717],{"className":15695,"ariaHidden":273},[272],[236,15697,15699,15702,15705,15708,15711,15714],{"className":15698},[277],[236,15700],{"className":15701,"style":1583},[281],[236,15703,522],{"className":15704},[286,290],[236,15706,345],{"className":15707},[286,290],[236,15709],{"className":15710,"style":639},[437],[236,15712,525],{"className":15713},[643],[236,15715],{"className":15716,"style":639},[437],[236,15718,15720,15724],{"className":15719},[277],[236,15721],{"className":15722,"style":15723},[281],"height:1.0728em;vertical-align:-0.2587em;",[236,15725,15727,15730],{"className":15726},[286],[236,15728,522],{"className":15729},[286,290],[236,15731,15733],{"className":15732},[295],[236,15734,15736,15769],{"className":15735},[299,300],[236,15737,15739,15766],{"className":15738},[304],[236,15740,15743,15755],{"className":15741,"style":15742},[308],"height:0.8141em;",[236,15744,15746,15749],{"style":15745},"top:-2.4413em;margin-left:0em;margin-right:0.05em;",[236,15747],{"className":15748,"style":317},[316],[236,15750,15752],{"className":15751},[321,322,323,324],[236,15753,1408],{"className":15754},[286,290,324],[236,15756,15757,15760],{"style":3177},[236,15758],{"className":15759,"style":317},[316],[236,15761,15763],{"className":15762},[321,322,323,324],[236,15764,2093],{"className":15765},[286,324],[236,15767,333],{"className":15768},[332],[236,15770,15772],{"className":15771},[304],[236,15773,15776],{"className":15774,"style":15775},[308],"height:0.2587em;",[236,15777],{},[231,15779,15781],{"id":15780},"carrier-actions-in-semiconductor-半导体中载流子的行为","Carrier Actions in Semiconductor ｜ 半导体中载流子的行为",[345,15783,15784],{},"Three primary types of carrier action occur inside a semiconductor ｜ 三种载流子行为：",[13364,15786,15787,15801,15818],{},[8982,15788,15789,15792,15793,15796,15797,15800],{},[4073,15790,15791],{},"Drift"," ｜ 漂移：charged particle (带电粒子) motion under the influence of an ",[4073,15794,15795],{},"electric field",". ｜ ",[4073,15798,15799],{},"电场","作用产生漂移",[8982,15802,15803,15806,15807,15810,15811,15796,15814,15817],{},[4073,15804,15805],{},"Diffusion"," ｜ 扩散：particle motion due to ",[4073,15808,15809],{},"concentration gradient"," or ",[4073,15812,15813],{},"temperature gradient",[4073,15815,15816],{},"浓度梯度以及温度梯度","产生扩散",[8982,15819,15820,15823],{},[4073,15821,15822],{},"Recombination–Generation"," ｜ 复合–产生",[15825,15826,15828],"h3",{"id":15827},"effective-mass-有效质量","Effective Mass ｜ 有效质量",[345,15830,15831],{},[496,15832],{"alt":15833,"src":15834},"Effective mass","\u002Fimg\u002FMicroelectronicDevices\u002FLecture3-09.png",[345,15836,15837,15838,492],{},"左右两边的电子运动不同：真空中就直接用牛二，但是在半导体中，由于周期性晶格势的影响，电子的质量",[4073,15839,15840],{},"需要等效为有效质量来看待",[15825,15842,15844],{"id":15843},"electron-and-hole-effective-masses-电子空穴有效质量","Electron and Hole Effective Masses ｜ 电子、空穴有效质量",[345,15846,15847],{},[496,15848],{"alt":15849,"src":15850},"Electron and hole effective masses","\u002Fimg\u002FMicroelectronicDevices\u002FLecture3-10.png",[15825,15852,15854],{"id":15853},"carrier-random-thermal-motion-载流子随机热运动","Carrier Random Thermal Motion ｜ 载流子随机热运动",[345,15856,15857],{},[496,15858],{"alt":15859,"src":15860},"Carrier random thermal motion","\u002Fimg\u002FMicroelectronicDevices\u002FLecture3-11.png",[345,15862,15863,15864,15867,15868,15871,15872,15875],{},"Electrons make frequent ",[4073,15865,15866],{},"collisions (撞击)"," under different ",[4073,15869,15870],{},"scattering mechanisms (散射机制)",". ",[4073,15873,15874],{},"Frequency"," of collision increases with increasing temperature.",[345,15877,15878,15879,15971],{},"电子始终以 ",[236,15880,15882,15908],{"className":15881},[239],[236,15883,15885],{"className":15884},[243],[245,15886,15887],{"xmlns":247},[249,15888,15889,15905],{},[252,15890,15891,15893,15900,15902],{},[369,15892,14281],{},[534,15894,15895,15897],{},[2091,15896,9439],{},[2091,15898,15899],{},"7",[575,15901,9449],{},[575,15903,15904],{},"cm\u002Fs",[265,15906,15907],{"encoding":267},"\\sim 10^7\\,\\text{cm\u002Fs}",[236,15909,15911,15923],{"className":15910,"ariaHidden":273},[272],[236,15912,15914,15917,15920],{"className":15913},[277],[236,15915],{"className":15916,"style":9012},[281],[236,15918,14281],{"className":15919},[643],[236,15921],{"className":15922,"style":639},[437],[236,15924,15926,15930,15933,15962,15965],{"className":15925},[277],[236,15927],{"className":15928,"style":15929},[281],"height:1.0641em;vertical-align:-0.25em;",[236,15931,9458],{"className":15932},[286],[236,15934,15936,15939],{"className":15935},[286],[236,15937,3403],{"className":15938},[286],[236,15940,15942],{"className":15941},[295],[236,15943,15945],{"className":15944},[299],[236,15946,15948],{"className":15947},[304],[236,15949,15951],{"className":15950,"style":15742},[308],[236,15952,15953,15956],{"style":3177},[236,15954],{"className":15955,"style":317},[316],[236,15957,15959],{"className":15958},[321,322,323,324],[236,15960,15899],{"className":15961},[286,324],[236,15963],{"className":15964,"style":980},[437],[236,15966,15968],{"className":15967},[286,10470],[236,15969,15904],{"className":15970},[286]," 量级（at 300 K）做随机热运动，散射越频繁（温度越高）越\"乱\"；若施加外电场作用，只会产生一个很小的漂移偏置，这个偏置决定了宏观电流。",[15825,15973,15975],{"id":15974},"thermal-velocity-热运动速度","Thermal Velocity ｜ 热运动速度",[345,15977,15978],{},[496,15979],{"alt":15980,"src":15981},"Thermal velocity","\u002Fimg\u002FMicroelectronicDevices\u002FLecture3-12.png",[1097,15983,15984],{},[345,15985,15986,15987,15990,15991,16066],{},"这个速度就是单纯的",[4073,15988,15989],{},"电子由于热激发引起的随机运动的速度","，和上面 ",[236,15992,15994,16016],{"className":15993},[239],[236,15995,15997],{"className":15996},[243],[245,15998,15999],{"xmlns":247},[249,16000,16001,16013],{},[252,16002,16003,16009,16011],{},[534,16004,16005,16007],{},[2091,16006,9439],{},[2091,16008,15899],{},[575,16010,9449],{},[575,16012,15904],{},[265,16014,16015],{"encoding":267},"10^7\\,\\text{cm\u002Fs}",[236,16017,16019],{"className":16018,"ariaHidden":273},[272],[236,16020,16022,16025,16028,16057,16060],{"className":16021},[277],[236,16023],{"className":16024,"style":15929},[281],[236,16026,9458],{"className":16027},[286],[236,16029,16031,16034],{"className":16030},[286],[236,16032,3403],{"className":16033},[286],[236,16035,16037],{"className":16036},[295],[236,16038,16040],{"className":16039},[299],[236,16041,16043],{"className":16042},[304],[236,16044,16046],{"className":16045,"style":15742},[308],[236,16047,16048,16051],{"style":3177},[236,16049],{"className":16050,"style":317},[316],[236,16052,16054],{"className":16053},[321,322,323,324],[236,16055,15899],{"className":16056},[286,324],[236,16058],{"className":16059,"style":980},[437],[236,16061,16063],{"className":16062},[286,10470],[236,16064,15904],{"className":16065},[286]," 的量级对应一下。这个动能公式感觉也可以抄。",[231,16068,16070],{"id":16069},"carrier-scattering-载流子散射","Carrier Scattering ｜ 载流子散射",[15825,16072,16074],{"id":16073},"phonon-scattering-声子散射","Phonon Scattering ｜ 声子散射",[345,16076,16077],{},[496,16078],{"alt":16079,"src":16080},"Phonon scattering","\u002Fimg\u002FMicroelectronicDevices\u002FLecture3-13.png",[8979,16082,16083,16086,16089],{},[8982,16084,16085],{},"Collision with vibrating lattice ｜ 与振动的晶格碰撞",[8982,16087,16088],{},"Phonons carry quantized energy of lattice vibration ｜ 声子携带晶格振动的量子化能量",[8982,16090,16091,16094],{},[4073,16092,16093],{},"Increases"," with elevated temperature ｜ 温度升高，声子散射增加",[1097,16096,16097],{},[345,16098,16099],{},"温度升高，晶格振动加剧，声子散射应该会更强。",[15825,16101,16103],{"id":16102},"impurity-scattering-杂质散射","Impurity Scattering ｜ 杂质散射",[345,16105,16106],{},[496,16107],{"alt":16108,"src":16109},"Impurity scattering","\u002Fimg\u002FMicroelectronicDevices\u002FLecture3-14.png",[8979,16111,16112,16115,16124],{},[8982,16113,16114],{},"Deflection by ionized impurity atoms ｜ 电离杂质原子引起的偏转",[8982,16116,16117,16119,16120,16123],{},[4073,16118,16093],{}," with ",[4073,16121,16122],{},"increased impurity concentration"," ｜ 杂质浓度增加，杂质散射增加",[8982,16125,16126,16129],{},[4073,16127,16128],{},"Decreases"," with elevated temperature ｜ 温度升高，杂质散射反而减小了",[1097,16131,16132],{},[345,16133,16134],{},"这个可以这么理解：因为杂质散射是电离的杂质原子引起的偏转，当温度升高，电子运动速度变快，在相同力作用下更不容易被偏转（当然不一定严谨）。",[345,16136,16137],{},"同时对于杂质散射而言，正负离子作用相同，因此散射强度与掺杂浓度之和相关。",[15825,16139,16141],{"id":16140},"charge-charge-scattering-电荷-电荷散射","Charge-charge Scattering ｜ 电荷-电荷散射",[8979,16143,16144,16147,16154],{},[8982,16145,16146],{},"Deflection due to Coulombic force between carriers ｜ 电子–电子、电子–空穴之间的库仑相互作用导致偏转",[8982,16148,16149,16150,16153],{},"Only significant ",[4073,16151,16152],{},"at high carrier concentrations"," ｜ 只在高载流子浓度时显著，毕竟是载流子之间的散射",[8982,16155,16156],{},"Decreases with elevated temperature ｜ 温度升高，载流子散射反而减小了",[1097,16158,16159],{},[345,16160,16161,16164,16165,16168,16169,16172],{},[4073,16162,16163],{},"温度升高，电子（或空穴）平均速度变快，与带电中心相互作用的时间更短，同样库仑力造成的偏转角更小","，因此",[4073,16166,16167],{},"电离杂质散射","与",[4073,16170,16171],{},"载流子–载流子散射","都会减弱。",[345,16174,16175],{},[4073,16176,16177],{},"The net current in any direction is zero if no electric field is applied.",[1097,16179,16180,16193,16200,16314],{},[345,16181,16182,16185,16186,16189,16190,492],{},[4073,16183,16184],{},"无外电场","时只有",[4073,16187,16188],{},"随机热运动","，各向平均为零，",[4073,16191,16192],{},"任意方向的净电流都为 0",[345,16194,16195,16196,16199],{},"要出现",[4073,16197,16198],{},"定向电流","，必须有：",[8979,16201,16202,16308],{},[8982,16203,16204,16206,16207,16307],{},[4073,16205,15799],{},"（漂移：",[236,16208,16210,16235],{"className":16209},[239],[236,16211,16213],{"className":16212},[243],[245,16214,16215],{"xmlns":247},[249,16216,16217,16232],{},[252,16218,16219,16225,16227,16230],{},[255,16220,16221,16223],{},[258,16222,1261],{},[258,16224,10004],{},[369,16226,525],{},[258,16228,16229],{},"μ",[258,16231,260],{},[265,16233,16234],{"encoding":267},"v_d = \\mu E",[236,16236,16238,16294],{"className":16237,"ariaHidden":273},[272],[236,16239,16241,16244,16285,16288,16291],{"className":16240},[277],[236,16242],{"className":16243,"style":3957},[281],[236,16245,16247,16250],{"className":16246},[286],[236,16248,1261],{"className":16249,"style":1303},[286,290],[236,16251,16253],{"className":16252},[295],[236,16254,16256,16277],{"className":16255},[299,300],[236,16257,16259,16274],{"className":16258},[304],[236,16260,16262],{"className":16261,"style":10093},[308],[236,16263,16265,16268],{"style":16264},"top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;",[236,16266],{"className":16267,"style":317},[316],[236,16269,16271],{"className":16270},[321,322,323,324],[236,16272,10004],{"className":16273},[286,290,324],[236,16275,333],{"className":16276},[332],[236,16278,16280],{"className":16279},[304],[236,16281,16283],{"className":16282,"style":340},[308],[236,16284],{},[236,16286],{"className":16287,"style":639},[437],[236,16289,525],{"className":16290},[643],[236,16292],{"className":16293,"style":639},[437],[236,16295,16297,16301,16304],{"className":16296},[277],[236,16298],{"className":16299,"style":16300},[281],"height:0.8778em;vertical-align:-0.1944em;",[236,16302,16229],{"className":16303},[286,290],[236,16305,260],{"className":16306,"style":291},[286,290],"）；或",[8982,16309,16310,16313],{},[4073,16311,16312],{},"浓度\u002F温度梯度","（扩散）。",[345,16315,16316,16317,16320],{},"散射决定的是这种定向运动",[4073,16318,16319],{},"能建立到多大","（即迁移率、扩散系数）。",[231,16322,16324],{"id":16323},"carrier-drift-载流子漂移","Carrier Drift ｜ 载流子漂移",[345,16326,16327],{},[496,16328],{"alt":16329,"src":16330},"Carrier drift","\u002Fimg\u002FMicroelectronicDevices\u002FLecture3-15.png",[345,16332,16333],{},[496,16334],{"alt":16329,"src":16335},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture3-16.png",[345,16337,16338,16339,16342],{},"当一个电场（例如，由于外部施加的电压）施加到半导体上时，可移动的载流子将被静电力加速。这个力",[4073,16340,16341],{},"叠加","在电子的随机运动之上。",[345,16344,16345,16346,8360,16349,16419],{},"由于散射（scattering）的存在，半导体中的电子并不会获得恒定的加速度。然而，它们可以被视为以一个",[4073,16347,16348],{},"恒定的平均漂移速度",[236,16350,16352,16370],{"className":16351},[239],[236,16353,16355],{"className":16354},[243],[245,16356,16357],{"xmlns":247},[249,16358,16359,16367],{},[252,16360,16361],{},[255,16362,16363,16365],{},[258,16364,1261],{},[258,16366,10004],{},[265,16368,16369],{"encoding":267},"v_d",[236,16371,16373],{"className":16372,"ariaHidden":273},[272],[236,16374,16376,16379],{"className":16375},[277],[236,16377],{"className":16378,"style":3957},[281],[236,16380,16382,16385],{"className":16381},[286],[236,16383,1261],{"className":16384,"style":1303},[286,290],[236,16386,16388],{"className":16387},[295],[236,16389,16391,16411],{"className":16390},[299,300],[236,16392,16394,16408],{"className":16393},[304],[236,16395,16397],{"className":16396,"style":10093},[308],[236,16398,16399,16402],{"style":16264},[236,16400],{"className":16401,"style":317},[316],[236,16403,16405],{"className":16404},[321,322,323,324],[236,16406,10004],{"className":16407},[286,290,324],[236,16409,333],{"className":16410},[332],[236,16412,16414],{"className":16413},[304],[236,16415,16417],{"className":16416,"style":340},[308],[236,16418],{}," 运动的准经典粒子。",[8979,16421,16422],{},[8982,16423,16424,16425,16428],{},"电子在外加电场的",[4073,16426,16427],{},"反方向","上漂移，从而形成电流。",[1097,16430,16431],{},[345,16432,16433,16434,16437],{},"电场与散射让随机热运动",[4073,16435,16436],{},"产生了有偏置的\"平均流动\"","，这就是漂移电流。",[231,16439,16441],{"id":16440},"mobility-迁移率","Mobility ｜ 迁移率",[345,16443,16444],{},"衡量在单位电场下，载流子（电子或空穴）运动的快慢 ｜ It quantifies the velocity of charge carriers (electrons or holes) under a unit electric field.",[15825,16446,16448],{"id":16447},"electron-mobility-电子迁移率","Electron Mobility ｜ 电子迁移率",[345,16450,16451],{},[496,16452],{"alt":16453,"src":16454},"Electron mobility","\u002Fimg\u002FMicroelectronicDevices\u002FLecture3-17.png",[345,16456,16457,16458,16588,16589,16695,16696,16773],{},"在每次碰撞之后，电子都会直接损失掉由于电场带来的动量，即 ",[236,16459,16461,16487],{"className":16460},[239],[236,16462,16464],{"className":16463},[243],[245,16465,16466],{"xmlns":247},[249,16467,16468,16484],{},[252,16469,16470,16478],{},[2697,16471,16472,16474,16476],{},[258,16473,2701],{},[258,16475,522],{},[369,16477,2706],{},[255,16479,16480,16482],{},[258,16481,1261],{},[258,16483,10004],{},[265,16485,16486],{"encoding":267},"m_n^* v_d",[236,16488,16490],{"className":16489,"ariaHidden":273},[272],[236,16491,16493,16497,16548],{"className":16492},[277],[236,16494],{"className":16495,"style":16496},[281],"height:0.9357em;vertical-align:-0.247em;",[236,16498,16500,16503],{"className":16499},[286],[236,16501,2701],{"className":16502},[286,290],[236,16504,16506],{"className":16505},[295],[236,16507,16509,16540],{"className":16508},[299,300],[236,16510,16512,16537],{"className":16511},[304],[236,16513,16515,16526],{"className":16514,"style":3163},[308],[236,16516,16517,16520],{"style":3094},[236,16518],{"className":16519,"style":317},[316],[236,16521,16523],{"className":16522},[321,322,323,324],[236,16524,522],{"className":16525},[286,290,324],[236,16527,16528,16531],{"style":3177},[236,16529],{"className":16530,"style":317},[316],[236,16532,16534],{"className":16533},[321,322,323,324],[236,16535,2706],{"className":16536},[442,324],[236,16538,333],{"className":16539},[332],[236,16541,16543],{"className":16542},[304],[236,16544,16546],{"className":16545,"style":3125},[308],[236,16547],{},[236,16549,16551,16554],{"className":16550},[286],[236,16552,1261],{"className":16553,"style":1303},[286,290],[236,16555,16557],{"className":16556},[295],[236,16558,16560,16580],{"className":16559},[299,300],[236,16561,16563,16577],{"className":16562},[304],[236,16564,16566],{"className":16565,"style":10093},[308],[236,16567,16568,16571],{"style":16264},[236,16569],{"className":16570,"style":317},[316],[236,16572,16574],{"className":16573},[321,322,323,324],[236,16575,10004],{"className":16576},[286,290,324],[236,16578,333],{"className":16579},[332],[236,16581,16583],{"className":16582},[304],[236,16584,16586],{"className":16585,"style":340},[308],[236,16587],{},"；然后在两次碰撞之间，电子会从电场又得到动量，即 ",[236,16590,16592,16626],{"className":16591},[239],[236,16593,16595],{"className":16594},[243],[245,16596,16597],{"xmlns":247},[249,16598,16599,16623],{},[252,16600,16601,16603,16605,16608,16610,16612],{},[369,16602,546],{"stretchy":545},[369,16604,371],{},[258,16606,16607],{},"q",[369,16609,563],{"stretchy":545},[258,16611,260],{},[255,16613,16614,16617],{},[258,16615,16616],{},"τ",[252,16618,16619,16621],{},[258,16620,2701],{},[258,16622,522],{},[265,16624,16625],{"encoding":267},"(-q) E \\tau_{mn}",[236,16627,16629],{"className":16628,"ariaHidden":273},[272],[236,16630,16632,16635,16638,16641,16644,16647,16650],{"className":16631},[277],[236,16633],{"className":16634,"style":3688},[281],[236,16636,546],{"className":16637},[732],[236,16639,371],{"className":16640},[286],[236,16642,16607],{"className":16643,"style":1303},[286,290],[236,16645,563],{"className":16646},[828],[236,16648,260],{"className":16649,"style":291},[286,290],[236,16651,16653,16657],{"className":16652},[286],[236,16654,16616],{"className":16655,"style":16656},[286,290],"margin-right:0.1132em;",[236,16658,16660],{"className":16659},[295],[236,16661,16663,16687],{"className":16662},[299,300],[236,16664,16666,16684],{"className":16665},[304],[236,16667,16669],{"className":16668,"style":672},[308],[236,16670,16672,16675],{"style":16671},"top:-2.55em;margin-left:-0.1132em;margin-right:0.05em;",[236,16673],{"className":16674,"style":317},[316],[236,16676,16678],{"className":16677},[321,322,323,324],[236,16679,16681],{"className":16680},[286,324],[236,16682,2091],{"className":16683},[286,290,324],[236,16685,333],{"className":16686},[332],[236,16688,16690],{"className":16689},[304],[236,16691,16693],{"className":16692,"style":340},[308],[236,16694],{},"，这里的 ",[236,16697,16699,16721],{"className":16698},[239],[236,16700,16702],{"className":16701},[243],[245,16703,16704],{"xmlns":247},[249,16705,16706,16718],{},[252,16707,16708],{},[255,16709,16710,16712],{},[258,16711,16616],{},[252,16713,16714,16716],{},[258,16715,2701],{},[258,16717,522],{},[265,16719,16720],{"encoding":267},"\\tau_{mn}",[236,16722,16724],{"className":16723,"ariaHidden":273},[272],[236,16725,16727,16730],{"className":16726},[277],[236,16728],{"className":16729,"style":3957},[281],[236,16731,16733,16736],{"className":16732},[286],[236,16734,16616],{"className":16735,"style":16656},[286,290],[236,16737,16739],{"className":16738},[295],[236,16740,16742,16765],{"className":16741},[299,300],[236,16743,16745,16762],{"className":16744},[304],[236,16746,16748],{"className":16747,"style":672},[308],[236,16749,16750,16753],{"style":16671},[236,16751],{"className":16752,"style":317},[316],[236,16754,16756],{"className":16755},[321,322,323,324],[236,16757,16759],{"className":16758},[286,324],[236,16760,2091],{"className":16761},[286,290,324],[236,16763,333],{"className":16764},[332],[236,16766,16768],{"className":16767},[304],[236,16769,16771],{"className":16770,"style":340},[308],[236,16772],{}," 就是 mean free time（平均自由时间）。",[345,16775,16776,16777,17001],{},"我们让损失的动量和在电场中得到的动量相等，即 ",[236,16778,16780,16828],{"className":16779},[239],[236,16781,16783],{"className":16782},[243],[245,16784,16785],{"xmlns":247},[249,16786,16787,16825],{},[252,16788,16789,16797,16803,16805,16807,16809,16811,16813,16815],{},[2697,16790,16791,16793,16795],{},[258,16792,2701],{},[258,16794,522],{},[369,16796,2706],{},[255,16798,16799,16801],{},[258,16800,1261],{},[258,16802,10004],{},[369,16804,525],{},[369,16806,546],{"stretchy":545},[369,16808,371],{},[258,16810,16607],{},[369,16812,563],{"stretchy":545},[258,16814,260],{},[255,16816,16817,16819],{},[258,16818,16616],{},[252,16820,16821,16823],{},[258,16822,2701],{},[258,16824,522],{},[265,16826,16827],{"encoding":267},"m_n^* v_d = (-q) E \\tau_{mn}",[236,16829,16831,16937],{"className":16830,"ariaHidden":273},[272],[236,16832,16834,16837,16888,16928,16931,16934],{"className":16833},[277],[236,16835],{"className":16836,"style":16496},[281],[236,16838,16840,16843],{"className":16839},[286],[236,16841,2701],{"className":16842},[286,290],[236,16844,16846],{"className":16845},[295],[236,16847,16849,16880],{"className":16848},[299,300],[236,16850,16852,16877],{"className":16851},[304],[236,16853,16855,16866],{"className":16854,"style":3163},[308],[236,16856,16857,16860],{"style":3094},[236,16858],{"className":16859,"style":317},[316],[236,16861,16863],{"className":16862},[321,322,323,324],[236,16864,522],{"className":16865},[286,290,324],[236,16867,16868,16871],{"style":3177},[236,16869],{"className":16870,"style":317},[316],[236,16872,16874],{"className":16873},[321,322,323,324],[236,16875,2706],{"className":16876},[442,324],[236,16878,333],{"className":16879},[332],[236,16881,16883],{"className":16882},[304],[236,16884,16886],{"className":16885,"style":3125},[308],[236,16887],{},[236,16889,16891,16894],{"className":16890},[286],[236,16892,1261],{"className":16893,"style":1303},[286,290],[236,16895,16897],{"className":16896},[295],[236,16898,16900,16920],{"className":16899},[299,300],[236,16901,16903,16917],{"className":16902},[304],[236,16904,16906],{"className":16905,"style":10093},[308],[236,16907,16908,16911],{"style":16264},[236,16909],{"className":16910,"style":317},[316],[236,16912,16914],{"className":16913},[321,322,323,324],[236,16915,10004],{"className":16916},[286,290,324],[236,16918,333],{"className":16919},[332],[236,16921,16923],{"className":16922},[304],[236,16924,16926],{"className":16925,"style":340},[308],[236,16927],{},[236,16929],{"className":16930,"style":639},[437],[236,16932,525],{"className":16933},[643],[236,16935],{"className":16936,"style":639},[437],[236,16938,16940,16943,16946,16949,16952,16955,16958],{"className":16939},[277],[236,16941],{"className":16942,"style":3688},[281],[236,16944,546],{"className":16945},[732],[236,16947,371],{"className":16948},[286],[236,16950,16607],{"className":16951,"style":1303},[286,290],[236,16953,563],{"className":16954},[828],[236,16956,260],{"className":16957,"style":291},[286,290],[236,16959,16961,16964],{"className":16960},[286],[236,16962,16616],{"className":16963,"style":16656},[286,290],[236,16965,16967],{"className":16966},[295],[236,16968,16970,16993],{"className":16969},[299,300],[236,16971,16973,16990],{"className":16972},[304],[236,16974,16976],{"className":16975,"style":672},[308],[236,16977,16978,16981],{"style":16671},[236,16979],{"className":16980,"style":317},[316],[236,16982,16984],{"className":16983},[321,322,323,324],[236,16985,16987],{"className":16986},[286,324],[236,16988,2091],{"className":16989},[286,290,324],[236,16991,333],{"className":16992},[332],[236,16994,16996],{"className":16995},[304],[236,16997,16999],{"className":16998,"style":340},[308],[236,17000],{},"，解出",[236,17003,17005],{"className":17004},[506],[236,17006,17008,17069],{"className":17007},[239],[236,17009,17011],{"className":17010},[243],[245,17012,17013],{"xmlns":247,"display":515},[249,17014,17015,17066],{},[252,17016,17017,17020,17026,17028,17030,17056,17058,17064],{},[258,17018,17019],{"mathvariant":566},"∣",[255,17021,17022,17024],{},[258,17023,1261],{},[258,17025,10004],{},[258,17027,17019],{"mathvariant":566},[369,17029,525],{},[610,17031,17032,17048],{},[252,17033,17034,17036,17038],{},[258,17035,16607],{},[258,17037,260],{},[255,17039,17040,17042],{},[258,17041,16616],{},[252,17043,17044,17046],{},[258,17045,2701],{},[258,17047,522],{},[2697,17049,17050,17052,17054],{},[258,17051,2701],{},[258,17053,522],{},[369,17055,2706],{},[369,17057,525],{},[255,17059,17060,17062],{},[258,17061,16229],{},[258,17063,522],{},[258,17065,260],{},[265,17067,17068],{"encoding":267},"|v_d| = \\frac{q E \\tau_{mn}}{m_n^*} = \\mu_n E",[236,17070,17072,17133,17305],{"className":17071,"ariaHidden":273},[272],[236,17073,17075,17078,17081,17121,17124,17127,17130],{"className":17074},[277],[236,17076],{"className":17077,"style":3688},[281],[236,17079,17019],{"className":17080},[286],[236,17082,17084,17087],{"className":17083},[286],[236,17085,1261],{"className":17086,"style":1303},[286,290],[236,17088,17090],{"className":17089},[295],[236,17091,17093,17113],{"className":17092},[299,300],[236,17094,17096,17110],{"className":17095},[304],[236,17097,17099],{"className":17098,"style":10093},[308],[236,17100,17101,17104],{"style":16264},[236,17102],{"className":17103,"style":317},[316],[236,17105,17107],{"className":17106},[321,322,323,324],[236,17108,10004],{"className":17109},[286,290,324],[236,17111,333],{"className":17112},[332],[236,17114,17116],{"className":17115},[304],[236,17117,17119],{"className":17118,"style":340},[308],[236,17120],{},[236,17122,17019],{"className":17123},[286],[236,17125],{"className":17126,"style":639},[437],[236,17128,525],{"className":17129},[643],[236,17131],{"className":17132,"style":639},[437],[236,17134,17136,17140,17296,17299,17302],{"className":17135},[277],[236,17137],{"className":17138,"style":17139},[281],"height:2.2933em;vertical-align:-0.933em;",[236,17141,17143,17146,17293],{"className":17142},[286],[236,17144],{"className":17145},[732,994],[236,17147,17149],{"className":17148},[610],[236,17150,17152,17285],{"className":17151},[299,300],[236,17153,17155,17282],{"className":17154},[304],[236,17156,17158,17217,17225],{"className":17157,"style":1007},[308],[236,17159,17160,17163],{"style":1010},[236,17161],{"className":17162,"style":1014},[316],[236,17164,17166],{"className":17165},[286],[236,17167,17169,17172],{"className":17168},[286],[236,17170,2701],{"className":17171},[286,290],[236,17173,17175],{"className":17174},[295],[236,17176,17178,17209],{"className":17177},[299,300],[236,17179,17181,17206],{"className":17180},[304],[236,17182,17184,17195],{"className":17183,"style":3091},[308],[236,17185,17186,17189],{"style":3094},[236,17187],{"className":17188,"style":317},[316],[236,17190,17192],{"className":17191},[321,322,323,324],[236,17193,522],{"className":17194},[286,290,324],[236,17196,17197,17200],{"style":3106},[236,17198],{"className":17199,"style":317},[316],[236,17201,17203],{"className":17202},[321,322,323,324],[236,17204,2706],{"className":17205},[442,324],[236,17207,333],{"className":17208},[332],[236,17210,17212],{"className":17211},[304],[236,17213,17215],{"className":17214,"style":3125},[308],[236,17216],{},[236,17218,17219,17222],{"style":1023},[236,17220],{"className":17221,"style":1014},[316],[236,17223],{"className":17224,"style":1031},[1030],[236,17226,17227,17230],{"style":1034},[236,17228],{"className":17229,"style":1014},[316],[236,17231,17233,17236,17239],{"className":17232},[286],[236,17234,16607],{"className":17235,"style":1303},[286,290],[236,17237,260],{"className":17238,"style":291},[286,290],[236,17240,17242,17245],{"className":17241},[286],[236,17243,16616],{"className":17244,"style":16656},[286,290],[236,17246,17248],{"className":17247},[295],[236,17249,17251,17274],{"className":17250},[299,300],[236,17252,17254,17271],{"className":17253},[304],[236,17255,17257],{"className":17256,"style":672},[308],[236,17258,17259,17262],{"style":16671},[236,17260],{"className":17261,"style":317},[316],[236,17263,17265],{"className":17264},[321,322,323,324],[236,17266,17268],{"className":17267},[286,324],[236,17269,2091],{"className":17270},[286,290,324],[236,17272,333],{"className":17273},[332],[236,17275,17277],{"className":17276},[304],[236,17278,17280],{"className":17279,"style":340},[308],[236,17281],{},[236,17283,333],{"className":17284},[332],[236,17286,17288],{"className":17287},[304],[236,17289,17291],{"className":17290,"style":3208},[308],[236,17292],{},[236,17294],{"className":17295},[828,994],[236,17297],{"className":17298,"style":639},[437],[236,17300,525],{"className":17301},[643],[236,17303],{"className":17304,"style":639},[437],[236,17306,17308,17311,17351],{"className":17307},[277],[236,17309],{"className":17310,"style":16300},[281],[236,17312,17314,17317],{"className":17313},[286],[236,17315,16229],{"className":17316},[286,290],[236,17318,17320],{"className":17319},[295],[236,17321,17323,17343],{"className":17322},[299,300],[236,17324,17326,17340],{"className":17325},[304],[236,17327,17329],{"className":17328,"style":672},[308],[236,17330,17331,17334],{"style":3715},[236,17332],{"className":17333,"style":317},[316],[236,17335,17337],{"className":17336},[321,322,323,324],[236,17338,522],{"className":17339},[286,290,324],[236,17341,333],{"className":17342},[332],[236,17344,17346],{"className":17345},[304],[236,17347,17349],{"className":17348,"style":340},[308],[236,17350],{},[236,17352,260],{"className":17353,"style":291},[286,290],[345,17355,17356],{},"于是，electron mobility 就定义为",[236,17358,17360],{"className":17359},[506],[236,17361,17363,17407],{"className":17362},[239],[236,17364,17366],{"className":17365},[243],[245,17367,17368],{"xmlns":247,"display":515},[249,17369,17370,17404],{},[252,17371,17372,17378,17380],{},[255,17373,17374,17376],{},[258,17375,16229],{},[258,17377,522],{},[369,17379,525],{},[610,17381,17382,17396],{},[252,17383,17384,17386],{},[258,17385,16607],{},[255,17387,17388,17390],{},[258,17389,16616],{},[252,17391,17392,17394],{},[258,17393,2701],{},[258,17395,522],{},[2697,17397,17398,17400,17402],{},[258,17399,2701],{},[258,17401,522],{},[369,17403,2706],{},[265,17405,17406],{"encoding":267},"\\mu_n = \\frac{q \\tau_{mn}}{m_n^*}",[236,17408,17410,17465],{"className":17409,"ariaHidden":273},[272],[236,17411,17413,17416,17456,17459,17462],{"className":17412},[277],[236,17414],{"className":17415,"style":1583},[281],[236,17417,17419,17422],{"className":17418},[286],[236,17420,16229],{"className":17421},[286,290],[236,17423,17425],{"className":17424},[295],[236,17426,17428,17448],{"className":17427},[299,300],[236,17429,17431,17445],{"className":17430},[304],[236,17432,17434],{"className":17433,"style":672},[308],[236,17435,17436,17439],{"style":3715},[236,17437],{"className":17438,"style":317},[316],[236,17440,17442],{"className":17441},[321,322,323,324],[236,17443,522],{"className":17444},[286,290,324],[236,17446,333],{"className":17447},[332],[236,17449,17451],{"className":17450},[304],[236,17452,17454],{"className":17453,"style":340},[308],[236,17455],{},[236,17457],{"className":17458,"style":639},[437],[236,17460,525],{"className":17461},[643],[236,17463],{"className":17464,"style":639},[437],[236,17466,17468,17472],{"className":17467},[277],[236,17469],{"className":17470,"style":17471},[281],"height:2.0406em;vertical-align:-0.933em;",[236,17473,17475,17478,17622],{"className":17474},[286],[236,17476],{"className":17477},[732,994],[236,17479,17481],{"className":17480},[610],[236,17482,17484,17614],{"className":17483},[299,300],[236,17485,17487,17611],{"className":17486},[304],[236,17488,17490,17549,17557],{"className":17489,"style":5784},[308],[236,17491,17492,17495],{"style":1010},[236,17493],{"className":17494,"style":1014},[316],[236,17496,17498],{"className":17497},[286],[236,17499,17501,17504],{"className":17500},[286],[236,17502,2701],{"className":17503},[286,290],[236,17505,17507],{"className":17506},[295],[236,17508,17510,17541],{"className":17509},[299,300],[236,17511,17513,17538],{"className":17512},[304],[236,17514,17516,17527],{"className":17515,"style":3091},[308],[236,17517,17518,17521],{"style":3094},[236,17519],{"className":17520,"style":317},[316],[236,17522,17524],{"className":17523},[321,322,323,324],[236,17525,522],{"className":17526},[286,290,324],[236,17528,17529,17532],{"style":3106},[236,17530],{"className":17531,"style":317},[316],[236,17533,17535],{"className":17534},[321,322,323,324],[236,17536,2706],{"className":17537},[442,324],[236,17539,333],{"className":17540},[332],[236,17542,17544],{"className":17543},[304],[236,17545,17547],{"className":17546,"style":3125},[308],[236,17548],{},[236,17550,17551,17554],{"style":1023},[236,17552],{"className":17553,"style":1014},[316],[236,17555],{"className":17556,"style":1031},[1030],[236,17558,17559,17562],{"style":1034},[236,17560],{"className":17561,"style":1014},[316],[236,17563,17565,17568],{"className":17564},[286],[236,17566,16607],{"className":17567,"style":1303},[286,290],[236,17569,17571,17574],{"className":17570},[286],[236,17572,16616],{"className":17573,"style":16656},[286,290],[236,17575,17577],{"className":17576},[295],[236,17578,17580,17603],{"className":17579},[299,300],[236,17581,17583,17600],{"className":17582},[304],[236,17584,17586],{"className":17585,"style":672},[308],[236,17587,17588,17591],{"style":16671},[236,17589],{"className":17590,"style":317},[316],[236,17592,17594],{"className":17593},[321,322,323,324],[236,17595,17597],{"className":17596},[286,324],[236,17598,2091],{"className":17599},[286,290,324],[236,17601,333],{"className":17602},[332],[236,17604,17606],{"className":17605},[304],[236,17607,17609],{"className":17608,"style":340},[308],[236,17610],{},[236,17612,333],{"className":17613},[332],[236,17615,17617],{"className":17616},[304],[236,17618,17620],{"className":17619,"style":3208},[308],[236,17621],{},[236,17623],{"className":17624},[828,994],[345,17626,17627],{},[496,17628],{"alt":16453,"src":17629},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture3-18.png",[15825,17631,17633],{"id":17632},"hole-mobility-空穴迁移率","Hole Mobility ｜ 空穴迁移率",[345,17635,17636],{},"It's the same.",[345,17638,17639],{},[496,17640],{"alt":17641,"src":17642},"Hole mobility","\u002Fimg\u002FMicroelectronicDevices\u002FLecture3-19.png",[17644,17645,17647],"h4",{"id":17646},"summary","Summary",[8979,17649,17650,17682],{},[8982,17651,17652,17653],{},"Mean free time: ",[236,17654,17656,17670],{"className":17655},[239],[236,17657,17659],{"className":17658},[243],[245,17660,17661],{"xmlns":247},[249,17662,17663,17667],{},[252,17664,17665],{},[258,17666,16616],{},[265,17668,17669],{"encoding":267},"\\tau",[236,17671,17673],{"className":17672,"ariaHidden":273},[272],[236,17674,17676,17679],{"className":17675},[277],[236,17677],{"className":17678,"style":632},[281],[236,17680,16616],{"className":17681,"style":16656},[286,290],[8982,17683,17684,17685],{},"Mean free path: ",[236,17686,17688,17715],{"className":17687},[239],[236,17689,17691],{"className":17690},[243],[245,17692,17693],{"xmlns":247},[249,17694,17695,17712],{},[252,17696,17697,17700,17702,17708,17710],{},[258,17698,17699],{},"λ",[369,17701,525],{},[255,17703,17704,17706],{},[258,17705,1261],{},[258,17707,13016],{},[369,17709,9434],{},[258,17711,16616],{},[265,17713,17714],{"encoding":267},"\\lambda = v_t \\times \\tau",[236,17716,17718,17736,17792],{"className":17717,"ariaHidden":273},[272],[236,17719,17721,17724,17727,17730,17733],{"className":17720},[277],[236,17722],{"className":17723,"style":8942},[281],[236,17725,17699],{"className":17726},[286,290],[236,17728],{"className":17729,"style":639},[437],[236,17731,525],{"className":17732},[643],[236,17734],{"className":17735,"style":639},[437],[236,17737,17739,17743,17783,17786,17789],{"className":17738},[277],[236,17740],{"className":17741,"style":17742},[281],"height:0.7333em;vertical-align:-0.15em;",[236,17744,17746,17749],{"className":17745},[286],[236,17747,1261],{"className":17748,"style":1303},[286,290],[236,17750,17752],{"className":17751},[295],[236,17753,17755,17775],{"className":17754},[299,300],[236,17756,17758,17772],{"className":17757},[304],[236,17759,17761],{"className":17760,"style":13063},[308],[236,17762,17763,17766],{"style":16264},[236,17764],{"className":17765,"style":317},[316],[236,17767,17769],{"className":17768},[321,322,323,324],[236,17770,13016],{"className":17771},[286,290,324],[236,17773,333],{"className":17774},[332],[236,17776,17778],{"className":17777},[304],[236,17779,17781],{"className":17780,"style":340},[308],[236,17782],{},[236,17784],{"className":17785,"style":438},[437],[236,17787,9434],{"className":17788},[442],[236,17790],{"className":17791,"style":438},[437],[236,17793,17795,17798],{"className":17794},[277],[236,17796],{"className":17797,"style":632},[281],[236,17799,16616],{"className":17800,"style":16656},[286,290],[1097,17802,17803],{},[345,17804,17805],{},"注意这里的速度是 thermal velocity。",[345,17807,17808],{},[496,17809],{"alt":17810,"src":17811},"Mobility summary","\u002Fimg\u002FMicroelectronicDevices\u002FLecture3-20.png",[345,17813,17814],{},[496,17815],{"alt":17810,"src":17816},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture3-21.png",[231,17818,17820],{"id":17819},"matthiessens-rule-马西森定则","Matthiessen's Rule ｜ 马西森定则",[345,17822,17823,17824,17853,17854,17857],{},"该定则指出，材料的迁移率 ",[236,17825,17827,17841],{"className":17826},[239],[236,17828,17830],{"className":17829},[243],[245,17831,17832],{"xmlns":247},[249,17833,17834,17838],{},[252,17835,17836],{},[258,17837,16229],{},[265,17839,17840],{"encoding":267},"\\mu",[236,17842,17844],{"className":17843,"ariaHidden":273},[272],[236,17845,17847,17850],{"className":17846},[277],[236,17848],{"className":17849,"style":1583},[281],[236,17851,16229],{"className":17852},[286,290]," 的倒数等于由各种",[4073,17855,17856],{},"独立","散射机制（如晶格振动和杂质）所引起的迁移率的倒数之和：",[236,17859,17861],{"className":17860},[506],[236,17862,17864,17913],{"className":17863},[239],[236,17865,17867],{"className":17866},[243],[245,17868,17869],{"xmlns":247,"display":515},[249,17870,17871,17910],{},[252,17872,17873,17884,17886,17897,17899],{},[610,17874,17875,17877],{},[2091,17876,9458],{},[255,17878,17879,17881],{},[258,17880,16229],{},[575,17882,17883],{},"total",[369,17885,525],{},[610,17887,17888,17890],{},[2091,17889,9458],{},[255,17891,17892,17894],{},[258,17893,16229],{},[575,17895,17896],{},"lattice",[369,17898,2083],{},[610,17900,17901,17903],{},[2091,17902,9458],{},[255,17904,17905,17907],{},[258,17906,16229],{},[575,17908,17909],{},"impurities",[265,17911,17912],{"encoding":267},"\\frac{1}{\\mu_{\\text{total}}} = \\frac{1}{\\mu_{\\text{lattice}}} + \\frac{1}{\\mu_{\\text{impurities}}}",[236,17914,17916,18038,18158],{"className":17915,"ariaHidden":273},[272],[236,17917,17919,17923,18029,18032,18035],{"className":17918},[277],[236,17920],{"className":17921,"style":17922},[281],"height:2.2019em;vertical-align:-0.8804em;",[236,17924,17926,17929,18026],{"className":17925},[286],[236,17927],{"className":17928},[732,994],[236,17930,17932],{"className":17931},[610],[236,17933,17935,18017],{"className":17934},[299,300],[236,17936,17938,18014],{"className":17937},[304],[236,17939,17941,17995,18003],{"className":17940,"style":9683},[308],[236,17942,17943,17946],{"style":1010},[236,17944],{"className":17945,"style":1014},[316],[236,17947,17949],{"className":17948},[286],[236,17950,17952,17955],{"className":17951},[286],[236,17953,16229],{"className":17954},[286,290],[236,17956,17958],{"className":17957},[295],[236,17959,17961,17987],{"className":17960},[299,300],[236,17962,17964,17984],{"className":17963},[304],[236,17965,17967],{"className":17966,"style":10093},[308],[236,17968,17969,17972],{"style":3715},[236,17970],{"className":17971,"style":317},[316],[236,17973,17975],{"className":17974},[321,322,323,324],[236,17976,17978],{"className":17977},[286,324],[236,17979,17981],{"className":17980},[286,10470,324],[236,17982,17883],{"className":17983},[286,324],[236,17985,333],{"className":17986},[332],[236,17988,17990],{"className":17989},[304],[236,17991,17993],{"className":17992,"style":340},[308],[236,17994],{},[236,17996,17997,18000],{"style":1023},[236,17998],{"className":17999,"style":1014},[316],[236,18001],{"className":18002,"style":1031},[1030],[236,18004,18005,18008],{"style":1034},[236,18006],{"className":18007,"style":1014},[316],[236,18009,18011],{"className":18010},[286],[236,18012,9458],{"className":18013},[286],[236,18015,333],{"className":18016},[332],[236,18018,18020],{"className":18019},[304],[236,18021,18024],{"className":18022,"style":18023},[308],"height:0.8804em;",[236,18025],{},[236,18027],{"className":18028},[828,994],[236,18030],{"className":18031,"style":639},[437],[236,18033,525],{"className":18034},[643],[236,18036],{"className":18037,"style":639},[437],[236,18039,18041,18044,18149,18152,18155],{"className":18040},[277],[236,18042],{"className":18043,"style":17922},[281],[236,18045,18047,18050,18146],{"className":18046},[286],[236,18048],{"className":18049},[732,994],[236,18051,18053],{"className":18052},[610],[236,18054,18056,18138],{"className":18055},[299,300],[236,18057,18059,18135],{"className":18058},[304],[236,18060,18062,18116,18124],{"className":18061,"style":9683},[308],[236,18063,18064,18067],{"style":1010},[236,18065],{"className":18066,"style":1014},[316],[236,18068,18070],{"className":18069},[286],[236,18071,18073,18076],{"className":18072},[286],[236,18074,16229],{"className":18075},[286,290],[236,18077,18079],{"className":18078},[295],[236,18080,18082,18108],{"className":18081},[299,300],[236,18083,18085,18105],{"className":18084},[304],[236,18086,18088],{"className":18087,"style":10093},[308],[236,18089,18090,18093],{"style":3715},[236,18091],{"className":18092,"style":317},[316],[236,18094,18096],{"className":18095},[321,322,323,324],[236,18097,18099],{"className":18098},[286,324],[236,18100,18102],{"className":18101},[286,10470,324],[236,18103,17896],{"className":18104},[286,324],[236,18106,333],{"className":18107},[332],[236,18109,18111],{"className":18110},[304],[236,18112,18114],{"className":18113,"style":340},[308],[236,18115],{},[236,18117,18118,18121],{"style":1023},[236,18119],{"className":18120,"style":1014},[316],[236,18122],{"className":18123,"style":1031},[1030],[236,18125,18126,18129],{"style":1034},[236,18127],{"className":18128,"style":1014},[316],[236,18130,18132],{"className":18131},[286],[236,18133,9458],{"className":18134},[286],[236,18136,333],{"className":18137},[332],[236,18139,18141],{"className":18140},[304],[236,18142,18144],{"className":18143,"style":18023},[308],[236,18145],{},[236,18147],{"className":18148},[828,994],[236,18150],{"className":18151,"style":438},[437],[236,18153,2083],{"className":18154},[442],[236,18156],{"className":18157,"style":438},[437],[236,18159,18161,18165],{"className":18160},[277],[236,18162],{"className":18163,"style":18164},[281],"height:2.2935em;vertical-align:-0.9721em;",[236,18166,18168,18171,18270],{"className":18167},[286],[236,18169],{"className":18170},[732,994],[236,18172,18174],{"className":18173},[610],[236,18175,18177,18261],{"className":18176},[299,300],[236,18178,18180,18258],{"className":18179},[304],[236,18181,18183,18239,18247],{"className":18182,"style":9683},[308],[236,18184,18185,18188],{"style":1010},[236,18186],{"className":18187,"style":1014},[316],[236,18189,18191],{"className":18190},[286],[236,18192,18194,18197],{"className":18193},[286],[236,18195,16229],{"className":18196},[286,290],[236,18198,18200],{"className":18199},[295],[236,18201,18203,18230],{"className":18202},[299,300],[236,18204,18206,18227],{"className":18205},[304],[236,18207,18210],{"className":18208,"style":18209},[308],"height:0.3175em;",[236,18211,18212,18215],{"style":3715},[236,18213],{"className":18214,"style":317},[316],[236,18216,18218],{"className":18217},[321,322,323,324],[236,18219,18221],{"className":18220},[286,324],[236,18222,18224],{"className":18223},[286,10470,324],[236,18225,17909],{"className":18226},[286,324],[236,18228,333],{"className":18229},[332],[236,18231,18233],{"className":18232},[304],[236,18234,18237],{"className":18235,"style":18236},[308],"height:0.2861em;",[236,18238],{},[236,18240,18241,18244],{"style":1023},[236,18242],{"className":18243,"style":1014},[316],[236,18245],{"className":18246,"style":1031},[1030],[236,18248,18249,18252],{"style":1034},[236,18250],{"className":18251,"style":1014},[316],[236,18253,18255],{"className":18254},[286],[236,18256,9458],{"className":18257},[286],[236,18259,333],{"className":18260},[332],[236,18262,18264],{"className":18263},[304],[236,18265,18268],{"className":18266,"style":18267},[308],"height:0.9721em;",[236,18269],{},[236,18271],{"className":18272},[828,994],[345,18274,18275],{},[496,18276],{"alt":18277,"src":18278},"Matthiessen's rule","\u002Fimg\u002FMicroelectronicDevices\u002FLecture3-22.png",[345,18280,18281,18282,18311,18312,18340],{},"Mechanism ",[236,18283,18285,18298],{"className":18284},[239],[236,18286,18288],{"className":18287},[243],[245,18289,18290],{"xmlns":247},[249,18291,18292,18296],{},[252,18293,18294],{},[258,18295,1408],{},[265,18297,1408],{"encoding":267},[236,18299,18301],{"className":18300,"ariaHidden":273},[272],[236,18302,18304,18308],{"className":18303},[277],[236,18305],{"className":18306,"style":18307},[281],"height:0.6595em;",[236,18309,1408],{"className":18310},[286,290],"：第 ",[236,18313,18315,18328],{"className":18314},[239],[236,18316,18318],{"className":18317},[243],[245,18319,18320],{"xmlns":247},[249,18321,18322,18326],{},[252,18323,18324],{},[258,18325,1408],{},[265,18327,1408],{"encoding":267},[236,18329,18331],{"className":18330,"ariaHidden":273},[272],[236,18332,18334,18337],{"className":18333},[277],[236,18335],{"className":18336,"style":18307},[281],[236,18338,1408],{"className":18339},[286,290]," 种散射机制，也就是 phonon scattering、impurity scattering、charge-charge scattering 三者中的其中之一。",[345,18342,18343,18344,18372,18373,18376,18377,18447,18448,18451,18452,18486,18487,8360,18490,18655,18656,18792,18793,18796],{},"设第 ",[236,18345,18347,18360],{"className":18346},[239],[236,18348,18350],{"className":18349},[243],[245,18351,18352],{"xmlns":247},[249,18353,18354,18358],{},[252,18355,18356],{},[258,18357,1408],{},[265,18359,1408],{"encoding":267},[236,18361,18363],{"className":18362,"ariaHidden":273},[272],[236,18364,18366,18369],{"className":18365},[277],[236,18367],{"className":18368,"style":18307},[281],[236,18370,1408],{"className":18371},[286,290]," 种散射机制的",[4073,18374,18375],{},"平均时间间隔","为 ",[236,18378,18380,18398],{"className":18379},[239],[236,18381,18383],{"className":18382},[243],[245,18384,18385],{"xmlns":247},[249,18386,18387,18395],{},[252,18388,18389],{},[255,18390,18391,18393],{},[258,18392,16616],{},[258,18394,1408],{},[265,18396,18397],{"encoding":267},"\\tau_i",[236,18399,18401],{"className":18400,"ariaHidden":273},[272],[236,18402,18404,18407],{"className":18403},[277],[236,18405],{"className":18406,"style":3957},[281],[236,18408,18410,18413],{"className":18409},[286],[236,18411,16616],{"className":18412,"style":16656},[286,290],[236,18414,18416],{"className":18415},[295],[236,18417,18419,18439],{"className":18418},[299,300],[236,18420,18422,18436],{"className":18421},[304],[236,18423,18425],{"className":18424,"style":1439},[308],[236,18426,18427,18430],{"style":16671},[236,18428],{"className":18429,"style":317},[316],[236,18431,18433],{"className":18432},[321,322,323,324],[236,18434,1408],{"className":18435},[286,290,324],[236,18437,333],{"className":18438},[332],[236,18440,18442],{"className":18441},[304],[236,18443,18445],{"className":18444,"style":340},[308],[236,18446],{},"。在一个",[4073,18449,18450],{},"很小","的时间片 ",[236,18453,18455,18471],{"className":18454},[239],[236,18456,18458],{"className":18457},[243],[245,18459,18460],{"xmlns":247},[249,18461,18462,18468],{},[252,18463,18464,18466],{},[258,18465,10004],{},[258,18467,13016],{},[265,18469,18470],{"encoding":267},"dt",[236,18472,18474],{"className":18473,"ariaHidden":273},[272],[236,18475,18477,18480,18483],{"className":18476},[277],[236,18478],{"className":18479,"style":8942},[281],[236,18481,10004],{"className":18482},[286,290],[236,18484,13016],{"className":18485},[286,290]," 内，被这种机制散射的",[4073,18488,18489],{},"概率",[236,18491,18493,18526],{"className":18492},[239],[236,18494,18496],{"className":18495},[243],[245,18497,18498],{"xmlns":247},[249,18499,18500,18523],{},[252,18501,18502,18505,18507],{},[258,18503,18504],{},"P",[369,18506,525],{},[3401,18508,18509],{"scriptlevel":3403,"displaystyle":273},[610,18510,18511,18517],{},[252,18512,18513,18515],{},[258,18514,10004],{},[258,18516,13016],{},[255,18518,18519,18521],{},[258,18520,16616],{},[258,18522,1408],{},[265,18524,18525],{"encoding":267},"P = \\dfrac{dt}{\\tau_i}",[236,18527,18529,18547],{"className":18528,"ariaHidden":273},[272],[236,18530,18532,18535,18538,18541,18544],{"className":18531},[277],[236,18533],{"className":18534,"style":9800},[281],[236,18536,18504],{"className":18537,"style":328},[286,290],[236,18539],{"className":18540,"style":639},[437],[236,18542,525],{"className":18543},[643],[236,18545],{"className":18546,"style":639},[437],[236,18548,18550,18553],{"className":18549},[277],[236,18551],{"className":18552,"style":2363},[281],[236,18554,18556,18559,18652],{"className":18555},[286],[236,18557],{"className":18558},[732,994],[236,18560,18562],{"className":18561},[610],[236,18563,18565,18644],{"className":18564},[299,300],[236,18566,18568,18641],{"className":18567},[304],[236,18569,18571,18619,18627],{"className":18570,"style":2382},[308],[236,18572,18573,18576],{"style":1010},[236,18574],{"className":18575,"style":1014},[316],[236,18577,18579],{"className":18578},[286],[236,18580,18582,18585],{"className":18581},[286],[236,18583,16616],{"className":18584,"style":16656},[286,290],[236,18586,18588],{"className":18587},[295],[236,18589,18591,18611],{"className":18590},[299,300],[236,18592,18594,18608],{"className":18593},[304],[236,18595,18597],{"className":18596,"style":1439},[308],[236,18598,18599,18602],{"style":16671},[236,18600],{"className":18601,"style":317},[316],[236,18603,18605],{"className":18604},[321,322,323,324],[236,18606,1408],{"className":18607},[286,290,324],[236,18609,333],{"className":18610},[332],[236,18612,18614],{"className":18613},[304],[236,18615,18617],{"className":18616,"style":340},[308],[236,18618],{},[236,18620,18621,18624],{"style":1023},[236,18622],{"className":18623,"style":1014},[316],[236,18625],{"className":18626,"style":1031},[1030],[236,18628,18629,18632],{"style":1034},[236,18630],{"className":18631,"style":1014},[316],[236,18633,18635,18638],{"className":18634},[286],[236,18636,10004],{"className":18637},[286,290],[236,18639,13016],{"className":18640},[286,290],[236,18642,333],{"className":18643},[332],[236,18645,18647],{"className":18646},[304],[236,18648,18650],{"className":18649,"style":2570},[308],[236,18651],{},[236,18653],{"className":18654},[828,994],"，",[236,18657,18659,18683],{"className":18658},[239],[236,18660,18662],{"className":18661},[243],[245,18663,18664],{"xmlns":247},[249,18665,18666,18680],{},[252,18667,18668],{},[3401,18669,18670],{"scriptlevel":3403,"displaystyle":273},[610,18671,18672,18674],{},[2091,18673,9458],{},[255,18675,18676,18678],{},[258,18677,16616],{},[258,18679,1408],{},[265,18681,18682],{"encoding":267},"\\dfrac{1}{\\tau_i}",[236,18684,18686],{"className":18685,"ariaHidden":273},[272],[236,18687,18689,18693],{"className":18688},[277],[236,18690],{"className":18691,"style":18692},[281],"height:2.1574em;vertical-align:-0.836em;",[236,18694,18696,18699,18789],{"className":18695},[286],[236,18697],{"className":18698},[732,994],[236,18700,18702],{"className":18701},[610],[236,18703,18705,18781],{"className":18704},[299,300],[236,18706,18708,18778],{"className":18707},[304],[236,18709,18711,18759,18767],{"className":18710,"style":9683},[308],[236,18712,18713,18716],{"style":1010},[236,18714],{"className":18715,"style":1014},[316],[236,18717,18719],{"className":18718},[286],[236,18720,18722,18725],{"className":18721},[286],[236,18723,16616],{"className":18724,"style":16656},[286,290],[236,18726,18728],{"className":18727},[295],[236,18729,18731,18751],{"className":18730},[299,300],[236,18732,18734,18748],{"className":18733},[304],[236,18735,18737],{"className":18736,"style":1439},[308],[236,18738,18739,18742],{"style":16671},[236,18740],{"className":18741,"style":317},[316],[236,18743,18745],{"className":18744},[321,322,323,324],[236,18746,1408],{"className":18747},[286,290,324],[236,18749,333],{"className":18750},[332],[236,18752,18754],{"className":18753},[304],[236,18755,18757],{"className":18756,"style":340},[308],[236,18758],{},[236,18760,18761,18764],{"style":1023},[236,18762],{"className":18763,"style":1014},[316],[236,18765],{"className":18766,"style":1031},[1030],[236,18768,18769,18772],{"style":1034},[236,18770],{"className":18771,"style":1014},[316],[236,18773,18775],{"className":18774},[286],[236,18776,9458],{"className":18777},[286],[236,18779,333],{"className":18780},[332],[236,18782,18784],{"className":18783},[304],[236,18785,18787],{"className":18786,"style":2570},[308],[236,18788],{},[236,18790],{"className":18791},[828,994]," 就是该机制的",[4073,18794,18795],{},"散射率","（每秒发生的平均次数）。",[345,18798,18799,18800,18833,18834,19032,19033,19061],{},"如果散射机制之间彼此是独立的，那么 the probability that a carrier will be scattered within a time period ",[236,18801,18803,18818],{"className":18802},[239],[236,18804,18806],{"className":18805},[243],[245,18807,18808],{"xmlns":247},[249,18809,18810,18816],{},[252,18811,18812,18814],{},[258,18813,10004],{},[258,18815,13016],{},[265,18817,18470],{"encoding":267},[236,18819,18821],{"className":18820,"ariaHidden":273},[272],[236,18822,18824,18827,18830],{"className":18823},[277],[236,18825],{"className":18826,"style":8942},[281],[236,18828,10004],{"className":18829},[286,290],[236,18831,13016],{"className":18832},[286,290]," is ",[236,18835,18837,18872],{"className":18836},[239],[236,18838,18840],{"className":18839},[243],[245,18841,18842],{"xmlns":247},[249,18843,18844,18869],{},[252,18845,18846,18853],{},[255,18847,18848,18851],{},[369,18849,18850],{},"∑",[258,18852,1408],{},[3401,18854,18855],{"scriptlevel":3403,"displaystyle":273},[610,18856,18857,18863],{},[252,18858,18859,18861],{},[258,18860,10004],{},[258,18862,13016],{},[255,18864,18865,18867],{},[258,18866,16616],{},[258,18868,1408],{},[265,18870,18871],{"encoding":267},"\\sum_i \\dfrac{dt}{\\tau_i}",[236,18873,18875],{"className":18874,"ariaHidden":273},[272],[236,18876,18878,18881,18927,18930],{"className":18877},[277],[236,18879],{"className":18880,"style":2363},[281],[236,18882,18884,18890],{"className":18883},[984],[236,18885,18850],{"className":18886,"style":18889},[984,18887,18888],"op-symbol","small-op","position:relative;top:0em;",[236,18891,18893],{"className":18892},[295],[236,18894,18896,18918],{"className":18895},[299,300],[236,18897,18899,18915],{"className":18898},[304],[236,18900,18903],{"className":18901,"style":18902},[308],"height:0.162em;",[236,18904,18906,18909],{"style":18905},"top:-2.4003em;margin-left:0em;margin-right:0.05em;",[236,18907],{"className":18908,"style":317},[316],[236,18910,18912],{"className":18911},[321,322,323,324],[236,18913,1408],{"className":18914},[286,290,324],[236,18916,333],{"className":18917},[332],[236,18919,18921],{"className":18920},[304],[236,18922,18925],{"className":18923,"style":18924},[308],"height:0.2997em;",[236,18926],{},[236,18928],{"className":18929,"style":980},[437],[236,18931,18933,18936,19029],{"className":18932},[286],[236,18934],{"className":18935},[732,994],[236,18937,18939],{"className":18938},[610],[236,18940,18942,19021],{"className":18941},[299,300],[236,18943,18945,19018],{"className":18944},[304],[236,18946,18948,18996,19004],{"className":18947,"style":2382},[308],[236,18949,18950,18953],{"style":1010},[236,18951],{"className":18952,"style":1014},[316],[236,18954,18956],{"className":18955},[286],[236,18957,18959,18962],{"className":18958},[286],[236,18960,16616],{"className":18961,"style":16656},[286,290],[236,18963,18965],{"className":18964},[295],[236,18966,18968,18988],{"className":18967},[299,300],[236,18969,18971,18985],{"className":18970},[304],[236,18972,18974],{"className":18973,"style":1439},[308],[236,18975,18976,18979],{"style":16671},[236,18977],{"className":18978,"style":317},[316],[236,18980,18982],{"className":18981},[321,322,323,324],[236,18983,1408],{"className":18984},[286,290,324],[236,18986,333],{"className":18987},[332],[236,18989,18991],{"className":18990},[304],[236,18992,18994],{"className":18993,"style":340},[308],[236,18995],{},[236,18997,18998,19001],{"style":1023},[236,18999],{"className":19000,"style":1014},[316],[236,19002],{"className":19003,"style":1031},[1030],[236,19005,19006,19009],{"style":1034},[236,19007],{"className":19008,"style":1014},[316],[236,19010,19012,19015],{"className":19011},[286],[236,19013,10004],{"className":19014},[286,290],[236,19016,13016],{"className":19017},[286,290],[236,19019,333],{"className":19020},[332],[236,19022,19024],{"className":19023},[304],[236,19025,19027],{"className":19026,"style":2570},[308],[236,19028],{},[236,19030],{"className":19031},[828,994],"，也就是把各种散射机制 ",[236,19034,19036,19049],{"className":19035},[239],[236,19037,19039],{"className":19038},[243],[245,19040,19041],{"xmlns":247},[249,19042,19043,19047],{},[252,19044,19045],{},[258,19046,1408],{},[265,19048,1408],{"encoding":267},[236,19050,19052],{"className":19051,"ariaHidden":273},[272],[236,19053,19055,19058],{"className":19054},[277],[236,19056],{"className":19057,"style":18307},[281],[236,19059,1408],{"className":19060},[286,290]," 都加到一起。",[15825,19063,19065],{"id":19064},"superposition-law-叠加定律","Superposition Law ｜ 叠加定律",[345,19067,19068],{},[496,19069],{"alt":19070,"src":19071},"Superposition law","\u002Fimg\u002FMicroelectronicDevices\u002FLecture3-23.png",[345,19073,19074,19075,19077],{},"其实就是上面推导的等价：直接加起来 phonon scattering 和 impurity scattering。猜测不加 charge-charge scattering 的原因就是它本身的性质（only significant ",[4073,19076,16152],{},"）；还有就是 Matthiessen 只把\"真正在体系外耗散动量\"的散射相加，C-C 散射应该是动量在载流子之间相互传递。",[345,19079,19080],{},[496,19081],{"alt":19082,"src":19083},"Mobility vs doping","\u002Fimg\u002FMicroelectronicDevices\u002FLecture3-24.png",[1097,19085,19086],{},[345,19087,9774,19088,19221],{},[236,19089,19091,19117],{"className":19090},[239],[236,19092,19094],{"className":19093},[243],[245,19095,19096],{"xmlns":247},[249,19097,19098,19114],{},[252,19099,19100,19106,19108],{},[255,19101,19102,19104],{},[258,19103,364],{},[258,19105,11169],{},[369,19107,2083],{},[255,19109,19110,19112],{},[258,19111,364],{},[258,19113,10004],{},[265,19115,19116],{"encoding":267},"N_a + N_d",[236,19118,19120,19175],{"className":19119,"ariaHidden":273},[272],[236,19121,19123,19126,19166,19169,19172],{"className":19122},[277],[236,19124],{"className":19125,"style":282},[281],[236,19127,19129,19132],{"className":19128},[286],[236,19130,364],{"className":19131,"style":397},[286,290],[236,19133,19135],{"className":19134},[295],[236,19136,19138,19158],{"className":19137},[299,300],[236,19139,19141,19155],{"className":19140},[304],[236,19142,19144],{"className":19143,"style":672},[308],[236,19145,19146,19149],{"style":412},[236,19147],{"className":19148,"style":317},[316],[236,19150,19152],{"className":19151},[321,322,323,324],[236,19153,11169],{"className":19154},[286,290,324],[236,19156,333],{"className":19157},[332],[236,19159,19161],{"className":19160},[304],[236,19162,19164],{"className":19163,"style":340},[308],[236,19165],{},[236,19167],{"className":19168,"style":438},[437],[236,19170,2083],{"className":19171},[442],[236,19173],{"className":19174,"style":438},[437],[236,19176,19178,19181],{"className":19177},[277],[236,19179],{"className":19180,"style":282},[281],[236,19182,19184,19187],{"className":19183},[286],[236,19185,364],{"className":19186,"style":397},[286,290],[236,19188,19190],{"className":19189},[295],[236,19191,19193,19213],{"className":19192},[299,300],[236,19194,19196,19210],{"className":19195},[304],[236,19197,19199],{"className":19198,"style":10093},[308],[236,19200,19201,19204],{"style":412},[236,19202],{"className":19203,"style":317},[316],[236,19205,19207],{"className":19206},[321,322,323,324],[236,19208,10004],{"className":19209},[286,290,324],[236,19211,333],{"className":19212},[332],[236,19214,19216],{"className":19215},[304],[236,19217,19219],{"className":19218,"style":340},[308],[236,19220],{}," 升高，mobility 下降。",[345,19223,19224],{},[496,19225],{"alt":19226,"src":19227},"Mobility vs temperature","\u002Fimg\u002FMicroelectronicDevices\u002FLecture3-25.png",[345,19229,19230,19231,19234],{},"直接就是散射的应用了。回顾一下，对于 ",[4073,19232,19233],{},"impurity scattering，温度低反而更强了","，所以当重掺杂时，低温下杂质散射明显，曲线就在低温时弯下去了；轻掺杂时，主导的还是 phonon scattering，温度升高，mobility 降低。",[231,19236,19238],{"id":19237},"velocity-saturation-速度饱和","Velocity Saturation ｜ 速度饱和",[345,19240,19241],{},[496,19242],{"alt":19243,"src":19244},"Velocity saturation","\u002Fimg\u002FMicroelectronicDevices\u002FLecture3-26.png",[345,19246,19247,19248,19251,19252,492],{},"当载流子的动能超过一个临界值时，它会产生一个",[4073,19249,19250],{},"光学声子 (optical phonon)"," 并失去",[4073,19253,19254],{},"动能 (kinetic energy)",[345,19256,19257,19258,19286,19287,492],{},"因此，动能在较大的 ",[236,19259,19261,19274],{"className":19260},[239],[236,19262,19264],{"className":19263},[243],[245,19265,19266],{"xmlns":247},[249,19267,19268,19272],{},[252,19269,19270],{},[258,19271,260],{},[265,19273,260],{"encoding":267},[236,19275,19277],{"className":19276,"ariaHidden":273},[272],[236,19278,19280,19283],{"className":19279},[277],[236,19281],{"className":19282,"style":9800},[281],[236,19284,260],{"className":19285,"style":291},[286,290]," 时达到上限，速度不会超过饱和速度 ",[236,19288,19290,19309],{"className":19289},[239],[236,19291,19293],{"className":19292},[243],[245,19294,19295],{"xmlns":247},[249,19296,19297,19306],{},[252,19298,19299],{},[255,19300,19301,19303],{},[258,19302,1261],{},[575,19304,19305],{},"sat",[265,19307,19308],{"encoding":267},"v_{\\text{sat}}",[236,19310,19312],{"className":19311,"ariaHidden":273},[272],[236,19313,19315,19318],{"className":19314},[277],[236,19316],{"className":19317,"style":3957},[281],[236,19319,19321,19324],{"className":19320},[286],[236,19322,1261],{"className":19323,"style":1303},[286,290],[236,19325,19327],{"className":19326},[295],[236,19328,19330,19356],{"className":19329},[299,300],[236,19331,19333,19353],{"className":19332},[304],[236,19334,19336],{"className":19335,"style":13063},[308],[236,19337,19338,19341],{"style":16264},[236,19339],{"className":19340,"style":317},[316],[236,19342,19344],{"className":19343},[321,322,323,324],[236,19345,19347],{"className":19346},[286,324],[236,19348,19350],{"className":19349},[286,10470,324],[236,19351,19305],{"className":19352},[286,324],[236,19354,333],{"className":19355},[332],[236,19357,19359],{"className":19358},[304],[236,19360,19362],{"className":19361,"style":340},[308],[236,19363],{},[345,19365,19366,19368,19369,19372,19373,19376],{},[4073,19367,19243],{}," has a ",[4073,19370,19371],{},"deleterious (不利的)"," effect on device speed as in ",[4073,19374,19375],{},"nanoscale (纳米级)"," transistors.",[231,19378,19380],{"id":19379},"summary-小结","Summary ｜ 小结",[1097,19382,19383,19388,19391,19396,19428],{},[345,19384,19385],{},[4073,19386,19387],{},"Carrier mobility varies with doping",[345,19389,19390],{},"Decreases with increasing total concentration of ionized dopants.",[345,19392,19393],{},[4073,19394,19395],{},"Carrier mobility varies with temperature",[345,19397,19398,19399,19427],{},"Decreases with increasing ",[236,19400,19402,19415],{"className":19401},[239],[236,19403,19405],{"className":19404},[243],[245,19406,19407],{"xmlns":247},[249,19408,19409,19413],{},[252,19410,19411],{},[258,19412,573],{},[265,19414,573],{"encoding":267},[236,19416,19418],{"className":19417,"ariaHidden":273},[272],[236,19419,19421,19424],{"className":19420},[277],[236,19422],{"className":19423,"style":9800},[281],[236,19425,573],{"className":19426,"style":328},[286,290]," if lattice scattering is dominant.",[345,19429,19430,19431,19459],{},"Decreases with decreasing ",[236,19432,19434,19447],{"className":19433},[239],[236,19435,19437],{"className":19436},[243],[245,19438,19439],{"xmlns":247},[249,19440,19441,19445],{},[252,19442,19443],{},[258,19444,573],{},[265,19446,573],{"encoding":267},[236,19448,19450],{"className":19449,"ariaHidden":273},[272],[236,19451,19453,19456],{"className":19452},[277],[236,19454],{"className":19455,"style":9800},[281],[236,19457,573],{"className":19458,"style":328},[286,290]," if impurity scattering is dominant.",[345,19461,19462],{},"总结一下，其实就是上面一样的内容。",{"title":19464,"searchDepth":19465,"depth":19465,"links":19466},"",4,[19467,19470,19472,19474,19475,19476,19477,19478,19480,19481,19482,19489,19494,19495,19501,19504,19505],{"id":233,"depth":19468,"text":19469},2,"Dependence of EFE_FEF​ on Net Dopant Concentration and Temperature ｜ 费米能级与净掺杂浓度、温度的关系",{"id":1388,"depth":19468,"text":19471},"Intrinsic Fermi Level ｜ 本征费米能级 EiE_iEi​",{"id":3642,"depth":19468,"text":19473},"n(ni,Ei)n(n_i, E_i)n(ni​,Ei​) and p(ni,Ei)p(n_i, E_i)p(ni​,Ei​) ｜ 用 nin_ini​、EiE_iEi​ 表示载流子浓度",{"id":8671,"depth":19468,"text":8672},{"id":8960,"depth":19468,"text":8961},{"id":9322,"depth":19468,"text":9323},{"id":9963,"depth":19468,"text":9964},{"id":11433,"depth":19468,"text":19479},"General Theory of nnn and ppp ｜ 载流子浓度的一般理论",{"id":13352,"depth":19468,"text":13353},{"id":14237,"depth":19468,"text":14238},{"id":15780,"depth":19468,"text":15781,"children":19483},[19484,19486,19487,19488],{"id":15827,"depth":19485,"text":15828},3,{"id":15843,"depth":19485,"text":15844},{"id":15853,"depth":19485,"text":15854},{"id":15974,"depth":19485,"text":15975},{"id":16069,"depth":19468,"text":16070,"children":19490},[19491,19492,19493],{"id":16073,"depth":19485,"text":16074},{"id":16102,"depth":19485,"text":16103},{"id":16140,"depth":19485,"text":16141},{"id":16323,"depth":19468,"text":16324},{"id":16440,"depth":19468,"text":16441,"children":19496},[19497,19498],{"id":16447,"depth":19485,"text":16448},{"id":17632,"depth":19485,"text":17633,"children":19499},[19500],{"id":17646,"depth":19465,"text":17647},{"id":17819,"depth":19468,"text":17820,"children":19502},[19503],{"id":19064,"depth":19485,"text":19065},{"id":19237,"depth":19468,"text":19238},{"id":19379,"depth":19468,"text":19380},[189],"费米能级随掺杂与温度的变化、本征费米能级、简并掺杂与带隙变窄、n 与 p 的一般理论、极端温度下的载流子浓度、有效质量、热运动、三种散射机制、漂移与迁移率、马西森定则与速度饱和","md",null,{"slots":19511},{},{"text":19513,"minutes":19514,"time":19515,"words":19516},"13 min read",12.565,753900,2513,{"title":131,"description":19507},{"loc":130,"images":19519},[19520,19521,19522,19523,19524,19525,19526,19527,19528,19529,19530,19531,19532,19533,19534,19535,19536,19537,19538,19539,19540,19541,19542,19543,19544,19545],{"loc":499},{"loc":8957},{"loc":8974},{"loc":9768},{"loc":9973},{"loc":13346},{"loc":13359},{"loc":14244},{"loc":15834},{"loc":15850},{"loc":15860},{"loc":15981},{"loc":16080},{"loc":16109},{"loc":16330},{"loc":16335},{"loc":16454},{"loc":17629},{"loc":17642},{"loc":17811},{"loc":17816},{"loc":18278},{"loc":19071},{"loc":19083},{"loc":19227},{"loc":19244},[176,19547,19548],"半导体","课程笔记","tech","EhkE0ib5fUiAh_j4MrJdm_tGB9m8ykb0BvURmD_q8Y0",[19552,19553],{"title":126,"path":125,"stem":124,"date":127,"type":19549,"children":-1},{"title":136,"path":135,"stem":134,"date":137,"type":19549,"children":-1},1789011906370]