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\\mathcal{E}",[252,592,594,673,747],{"className":593,"ariaHidden":303},[302],[252,595,597,600,661,666,670],{"className":596},[307],[252,598],{"className":599,"style":312},[311],[252,601,603,606],{"className":602},[316],[252,604,276],{"className":605,"style":321},[316,320],[252,607,609],{"className":608},[325],[252,610,612,653],{"className":611},[329,330],[252,613,615,650],{"className":614},[334],[252,616,618],{"className":617,"style":339},[338],[252,619,620,623],{"style":342},[252,621],{"className":622,"style":347},[346],[252,624,626],{"className":625},[351,352,353,354],[252,627,629,632,635,638,641,644,647],{"className":628},[316,354],[252,630,420],{"className":631},[316,320,354],[252,633,424],{"className":634},[482,354],[252,636,281],{"className":637},[316,320,354],[252,639,284],{"className":640,"style":364},[316,320,354],[252,642,287],{"className":643},[316,320,354],[252,645,290],{"className":646,"style":371},[316,320,354],[252,648,293],{"className":649},[316,320,354],[252,651,379],{"className":652},[378],[252,654,656],{"className":655},[334],[252,657,659],{"className":658,"style":386},[338],[252,660],{},[252,662],{"className":663,"style":665},[664],"mspace","margin-right:0.2778em;",[252,667,551],{"className":668},[669],"mrel",[252,671],{"className":672,"style":665},[664],[252,674,676,680,683,687,690,738,741,744],{"className":675},[307],[252,677],{"className":678,"style":679},[311],"height:0.7778em;vertical-align:-0.1944em;",[252,681,554],{"className":682},[316],[252,684,557],{"className":685,"style":686},[316,320],"margin-right:0.0359em;",[252,688,420],{"className":689},[316,320],[252,691,693,696],{"className":692},[316],[252,694,564],{"className":695,"style":686},[316,320],[252,697,699],{"className":698},[325],[252,700,702,729],{"className":701},[329,330],[252,703,705,726],{"className":704},[334],[252,706,708],{"className":707,"style":339},[338],[252,709,711,714],{"style":710},"top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;",[252,712],{"className":713,"style":347},[346],[252,715,717],{"className":716},[351,352,353,354],[252,718,720,723],{"className":719},[316,354],[252,721,281],{"className":722},[316,320,354],[252,724,420],{"className":725},[316,320,354],[252,727,379],{"className":728},[378],[252,730,732],{"className":731},[334],[252,733,736],{"className":734,"style":735},[338],"height:0.15em;",[252,737],{},[252,739],{"className":740,"style":665},[664],[252,742,551],{"className":743},[669],[252,745],{"className":746,"style":665},[664],[252,748,750,754,757,760,802],{"className":749},[307],[252,751],{"className":752,"style":753},[311],"height:0.8778em;vertical-align:-0.1944em;",[252,755,557],{"className":756,"style":686},[316,320],[252,758,420],{"className":759},[316,320],[252,761,763,766],{"className":762},[316],[252,764,581],{"className":765},[316,320],[252,767,769],{"className":768},[325],[252,770,772,794],{"className":771},[329,330],[252,773,775,791],{"className":774},[334],[252,776,779],{"className":777,"style":778},[338],"height:0.1514em;",[252,780,782,785],{"style":781},"top:-2.55em;margin-left:0em;margin-right:0.05em;",[252,783],{"className":784,"style":347},[346],[252,786,788],{"className":787},[351,352,353,354],[252,789,420],{"className":790},[316,320,354],[252,792,379],{"className":793},[378],[252,795,797],{"className":796},[334],[252,798,800],{"className":799,"style":735},[338],[252,801],{},[252,803,587],{"className":804,"style":806},[316,805],"mathcal","margin-right:0.0894em;",[252,808,810],{"className":809},[515],[252,811,813,847],{"className":812},[255],[252,814,816],{"className":815},[259],[261,817,818],{"xmlns":263,"display":524},[265,819,820,844],{},[268,821,822,832,834,836,842],{},[271,823,824,826],{},[274,825,564],{},[268,827,828,830],{},[274,829,281],{},[274,831,420],{},[422,833,551],{},[422,835,554],{},[271,837,838,840],{},[274,839,581],{},[274,841,420],{},[274,843,587],{"mathvariant":586},[295,845,846],{"encoding":297},"v_{dn}=-\\mu_{n}\\mathcal{E}",[252,848,850,912],{"className":849,"ariaHidden":303},[302],[252,851,853,857,903,906,909],{"className":852},[307],[252,854],{"className":855,"style":856},[311],"height:0.5806em;vertical-align:-0.15em;",[252,858,860,863],{"className":859},[316],[252,861,564],{"className":862,"style":686},[316,320],[252,864,866],{"className":865},[325],[252,867,869,895],{"className":868},[329,330],[252,870,872,892],{"className":871},[334],[252,873,875],{"className":874,"style":339},[338],[252,876,877,880],{"style":710},[252,878],{"className":879,"style":347},[346],[252,881,883],{"className":882},[351,352,353,354],[252,884,886,889],{"className":885},[316,354],[252,887,281],{"className":888},[316,320,354],[252,890,420],{"className":891},[316,320,354],[252,893,379],{"className":894},[378],[252,896,898],{"className":897},[334],[252,899,901],{"className":900,"style":735},[338],[252,902],{},[252,904],{"className":905,"style":665},[664],[252,907,551],{"className":908},[669],[252,910],{"className":911,"style":665},[664],[252,913,915,918,921,964],{"className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电子带负电，在外电场 ",[252,1085,1087,1101],{"className":1086},[255],[252,1088,1090],{"className":1089},[259],[261,1091,1092],{"xmlns":263},[265,1093,1094,1098],{},[268,1095,1096],{},[274,1097,587],{"mathvariant":586},[295,1099,1100],{"encoding":297},"\\mathcal{E}",[252,1102,1104],{"className":1103,"ariaHidden":303},[302],[252,1105,1107,1110],{"className":1106},[307],[252,1108],{"className":1109,"style":1018},[311],[252,1111,587],{"className":1112,"style":806},[316,805]," 作用下会逆着电场方向运动。但常规电流的方向定义为正电荷的流动方向，因此与电子运动方向相反，即顺着电场方向。所以 ",[252,1115,1117,1148],{"className":1116},[255],[252,1118,1120],{"className":1119},[259],[261,1121,1122],{"xmlns":263},[265,1123,1124,1146],{},[268,1125,1126],{},[271,1127,1128,1130],{},[274,1129,276],{},[268,1131,1132,1134,1136,1138,1140,1142,1144],{},[274,1133,420],{},[422,1135,424],{"separator":303},[274,1137,281],{},[274,1139,284],{},[274,1141,287],{},[274,1143,290],{},[274,1145,293],{},[295,1147,437],{"encoding":297},[252,1149,1151],{"className":1150,"ariaHidden":303},[302],[252,1152,1154,1157],{"className":1153},[307],[252,1155],{"className":1156,"style":312},[311],[252,1158,1160,1163],{"className":1159},[316],[252,1161,276],{"className":1162,"style":321},[316,320],[252,1164,1166],{"className":1165},[325],[252,1167,1169,1210],{"className":1168},[329,330],[252,1170,1172,1207],{"className":1171},[334],[252,1173,1175],{"className":1174,"style":339},[338],[252,1176,1177,1180],{"style":342},[252,1178],{"className":1179,"style":347},[346],[252,1181,1183],{"className":1182},[351,352,353,354],[252,1184,1186,1189,1192,1195,1198,1201,1204],{"className":1185},[316,354],[252,1187,420],{"className":1188},[316,320,354],[252,1190,424],{"className":1191},[482,354],[252,1193,281],{"className":1194},[316,320,354],[252,1196,284],{"className":1197,"style":364},[316,320,354],[252,1199,287],{"className":1200},[316,320,354],[252,1202,290],{"className":1203,"style":371},[316,320,354],[252,1205,293],{"className":1206},[316,320,354],[252,1208,379],{"className":1209},[378],[252,1211,1213],{"className":1212},[334],[252,1214,1216],{"className":1215,"style":386},[338],[252,1217],{}," 为正值。",[394,1220,1221,1224,1329,1331,1601],{},[397,1222,1223],{},"空穴漂移电流 (",[252,1225,1227,1259],{"className":1226},[255],[252,1228,1230],{"className":1229},[259],[261,1231,1232],{"xmlns":263},[265,1233,1234,1256],{},[268,1235,1236],{},[271,1237,1238,1240],{},[274,1239,276],{},[268,1241,1242,1244,1246,1248,1250,1252,1254],{},[274,1243,231],{},[422,1245,424],{"separator":303},[274,1247,281],{},[274,1249,284],{},[274,1251,287],{},[274,1253,290],{},[274,1255,293],{},[295,1257,1258],{"encoding":297},"J_{p,drift}",[252,1260,1262],{"className":1261,"ariaHidden":303},[302],[252,1263,1265,1268],{"className":1264},[307],[252,1266],{"className":1267,"style":312},[311],[252,1269,1271,1274],{"className":1270},[316],[252,1272,276],{"className":1273,"style":321},[316,320],[252,1275,1277],{"className":1276},[325],[252,1278,1280,1321],{"className":1279},[329,330],[252,1281,1283,1318],{"className":1282},[334],[252,1284,1286],{"className":1285,"style":339},[338],[252,1287,1288,1291],{"style":342},[252,1289],{"className":1290,"style":347},[346],[252,1292,1294],{"className":1293},[351,352,353,354],[252,1295,1297,1300,1303,1306,1309,1312,1315],{"className":1296},[316,354],[252,1298,231],{"className":1299},[316,320,354],[252,1301,424],{"className":1302},[482,354],[252,1304,281],{"className":1305},[316,320,354],[252,1307,284],{"className":1308,"style":364},[316,320,354],[252,1310,287],{"className":1311},[316,320,354],[252,1313,290],{"className":1314,"style":371},[316,320,354],[252,1316,293],{"className":1317},[316,320,354],[252,1319,379],{"className":1320},[378],[252,1322,1324],{"className":1323},[334],[252,1325,1327],{"className":1326,"style":386},[338],[252,1328],{},[397,1330,511],{},[252,1332,1334],{"className":1333},[515],[252,1335,1337,1399],{"className":1336},[255],[252,1338,1340],{"className":1339},[259],[261,1341,1342],{"xmlns":263,"display":524},[265,1343,1344,1396],{},[268,1345,1346,1366,1368,1370,1372,1382,1384,1386,1388,1394],{},[271,1347,1348,1350],{},[274,1349,276],{},[268,1351,1352,1354,1356,1358,1360,1362,1364],{},[274,1353,231],{},[422,1355,424],{"separator":303},[274,1357,281],{},[274,1359,284],{},[274,1361,287],{},[274,1363,290],{},[274,1365,293],{},[422,1367,551],{},[274,1369,557],{},[274,1371,231],{},[271,1373,1374,1376],{},[274,1375,564],{},[268,1377,1378,1380],{},[274,1379,281],{},[274,1381,231],{},[422,1383,551],{},[274,1385,557],{},[274,1387,231],{},[271,1389,1390,1392],{},[274,1391,581],{},[274,1393,231],{},[274,1395,587],{"mathvariant":586},[295,1397,1398],{"encoding":297},"J_{p,drift} =qpv_{dp}= qp\\mu_p \\mathcal{E}",[252,1400,1402,1478,1546],{"className":1401,"ariaHidden":303},[302],[252,1403,1405,1408,1469,1472,1475],{"className":1404},[307],[252,1406],{"className":1407,"style":312},[311],[252,1409,1411,1414],{"className":1410},[316],[252,1412,276],{"className":1413,"style":321},[316,320],[252,1415,1417],{"className":1416},[325],[252,1418,1420,1461],{"className":1419},[329,330],[252,1421,1423,1458],{"className":1422},[334],[252,1424,1426],{"className":1425,"style":339},[338],[252,1427,1428,1431],{"style":342},[252,1429],{"className":1430,"style":347},[346],[252,1432,1434],{"className":1433},[351,352,353,354],[252,1435,1437,1440,1443,1446,1449,1452,1455],{"className":1436},[316,354],[252,1438,231],{"className":1439},[316,320,354],[252,1441,424],{"className":1442},[482,354],[252,1444,281],{"className":1445},[316,320,354],[252,1447,284],{"className":1448,"style":364},[316,320,354],[252,1450,287],{"className":1451},[316,320,354],[252,1453,290],{"className":1454,"style":371},[316,320,354],[252,1456,293],{"className":1457},[316,320,354],[252,1459,379],{"className":1460},[378],[252,1462,1464],{"className":1463},[334],[252,1465,1467],{"className":1466,"style":386},[338],[252,1468],{},[252,1470],{"className":1471,"style":665},[664],[252,1473,551],{"className":1474},[669],[252,1476],{"className":1477,"style":665},[664],[252,1479,1481,1485,1488,1491,1537,1540,1543],{"className":1480},[307],[252,1482],{"className":1483,"style":1484},[311],"height:0.7167em;vertical-align:-0.2861em;",[252,1486,557],{"className":1487,"style":686},[316,320],[252,1489,231],{"className":1490},[316,320],[252,1492,1494,1497],{"className":1493},[316],[252,1495,564],{"className":1496,"style":686},[316,320],[252,1498,1500],{"className":1499},[325],[252,1501,1503,1529],{"className":1502},[329,330],[252,1504,1506,1526],{"className":1505},[334],[252,1507,1509],{"className":1508,"style":339},[338],[252,1510,1511,1514],{"style":710},[252,1512],{"className":1513,"style":347},[346],[252,1515,1517],{"className":1516},[351,352,353,354],[252,1518,1520,1523],{"className":1519},[316,354],[252,1521,281],{"className":1522},[316,320,354],[252,1524,231],{"className":1525},[316,320,354],[252,1527,379],{"className":1528},[378],[252,1530,1532],{"className":1531},[334],[252,1533,1535],{"className":1534,"style":386},[338],[252,1536],{},[252,1538],{"className":1539,"style":665},[664],[252,1541,551],{"className":1542},[669],[252,1544],{"className":1545,"style":665},[664],[252,1547,1549,1552,1555,1558,1598],{"className":1548},[307],[252,1550],{"className":1551,"style":312},[311],[252,1553,557],{"className":1554,"style":686},[316,320],[252,1556,231],{"className":1557},[316,320],[252,1559,1561,1564],{"className":1560},[316],[252,1562,581],{"className":1563},[316,320],[252,1565,1567],{"className":1566},[325],[252,1568,1570,1590],{"className":1569},[329,330],[252,1571,1573,1587],{"className":1572},[334],[252,1574,1576],{"className":1575,"style":778},[338],[252,1577,1578,1581],{"style":781},[252,1579],{"className":1580,"style":347},[346],[252,1582,1584],{"className":1583},[351,352,353,354],[252,1585,231],{"className":1586},[316,320,354],[252,1588,379],{"className":1589},[378],[252,1591,1593],{"className":1592},[334],[252,1594,1596],{"className":1595,"style":386},[338],[252,1597],{},[252,1599,587],{"className":1600,"style":806},[316,805],[252,1602,1604],{"className":1603},[515],[252,1605,1607,1639],{"className":1606},[255],[252,1608,1610],{"className":1609},[259],[261,1611,1612],{"xmlns":263,"display":524},[265,1613,1614,1636],{},[268,1615,1616,1626,1628,1634],{},[271,1617,1618,1620],{},[274,1619,564],{},[268,1621,1622,1624],{},[274,1623,281],{},[274,1625,231],{},[422,1627,551],{},[271,1629,1630,1632],{},[274,1631,581],{},[274,1633,231],{},[274,1635,587],{"mathvariant":586},[295,1637,1638],{"encoding":297},"v_{dp}=\\mu_{p}\\mathcal{E}",[252,1640,1642,1703],{"className":1641,"ariaHidden":303},[302],[252,1643,1645,1648,1694,1697,1700],{"className":1644},[307],[252,1646],{"className":1647,"style":1484},[311],[252,1649,1651,1654],{"className":1650},[316],[252,1652,564],{"className":1653,"style":686},[316,320],[252,1655,1657],{"className":1656},[325],[252,1658,1660,1686],{"className":1659},[329,330],[252,1661,1663,1683],{"className":1662},[334],[252,1664,1666],{"className":1665,"style":339},[338],[252,1667,1668,1671],{"style":710},[252,1669],{"className":1670,"style":347},[346],[252,1672,1674],{"className":1673},[351,352,353,354],[252,1675,1677,1680],{"className":1676},[316,354],[252,1678,281],{"className":1679},[316,320,354],[252,1681,231],{"className":1682},[316,320,354],[252,1684,379],{"className":1685},[378],[252,1687,1689],{"className":1688},[334],[252,1690,1692],{"className":1691,"style":386},[338],[252,1693],{},[252,1695],{"className":1696,"style":665},[664],[252,1698,551],{"className":1699},[669],[252,1701],{"className":1702,"style":665},[664],[252,1704,1706,1709,1752],{"className":1705},[307],[252,1707],{"className":1708,"style":312},[311],[252,1710,1712,1715],{"className":1711},[316],[252,1713,581],{"className":1714},[316,320],[252,1716,1718],{"className":1717},[325],[252,1719,1721,1744],{"className":1720},[329,330],[252,1722,1724,1741],{"className":1723},[334],[252,1725,1727],{"className":1726,"style":778},[338],[252,1728,1729,1732],{"style":781},[252,1730],{"className":1731,"style":347},[346],[252,1733,1735],{"className":1734},[351,352,353,354],[252,1736,1738],{"className":1737},[316,354],[252,1739,231],{"className":1740},[316,320,354],[252,1742,379],{"className":1743},[378],[252,1745,1747],{"className":1746},[334],[252,1748,1750],{"className":1749,"style":386},[338],[252,1751],{},[252,1753,587],{"className":1754,"style":806},[316,805],[394,1756,1757,1760,1854,1856],{},[397,1758,1759],{},"总漂移电流 (",[252,1761,1763,1790],{"className":1762},[255],[252,1764,1766],{"className":1765},[259],[261,1767,1768],{"xmlns":263},[265,1769,1770,1788],{},[268,1771,1772],{},[271,1773,1774,1776],{},[274,1775,276],{},[268,1777,1778,1780,1782,1784,1786],{},[274,1779,281],{},[274,1781,284],{},[274,1783,287],{},[274,1785,290],{},[274,1787,293],{},[295,1789,298],{"encoding":297},[252,1791,1793],{"className":1792,"ariaHidden":303},[302],[252,1794,1796,1799],{"className":1795},[307],[252,1797],{"className":1798,"style":312},[311],[252,1800,1802,1805],{"className":1801},[316],[252,1803,276],{"className":1804,"style":321},[316,320],[252,1806,1808],{"className":1807},[325],[252,1809,1811,1846],{"className":1810},[329,330],[252,1812,1814,1843],{"className":1813},[334],[252,1815,1817],{"className":1816,"style":339},[338],[252,1818,1819,1822],{"style":342},[252,1820],{"className":1821,"style":347},[346],[252,1823,1825],{"className":1824},[351,352,353,354],[252,1826,1828,1831,1834,1837,1840],{"className":1827},[316,354],[252,1829,281],{"className":1830},[316,320,354],[252,1832,284],{"className":1833,"style":364},[316,320,354],[252,1835,287],{"className":1836},[316,320,354],[252,1838,290],{"className":1839,"style":371},[316,320,354],[252,1841,293],{"className":1842},[316,320,354],[252,1844,379],{"className":1845},[378],[252,1847,1849],{"className":1848},[334],[252,1850,1852],{"className":1851,"style":386},[338],[252,1853],{},[397,1855,511],{},[252,1857,1859],{"className":1858},[515],[252,1860,1862,1965],{"className":1861},[255],[252,1863,1865],{"className":1864},[259],[261,1866,1867],{"xmlns":263,"display":524},[265,1868,1869,1962],{},[268,1870,1871,1887,1889,1909,1912,1932,1934,1936,1938,1940,1946,1948,1950,1952,1958,1960],{},[271,1872,1873,1875],{},[274,1874,276],{},[268,1876,1877,1879,1881,1883,1885],{},[274,1878,281],{},[274,1880,284],{},[274,1882,287],{},[274,1884,290],{},[274,1886,293],{},[422,1888,551],{},[271,1890,1891,1893],{},[274,1892,276],{},[268,1894,1895,1897,1899,1901,1903,1905,1907],{},[274,1896,420],{},[422,1898,424],{"separator":303},[274,1900,281],{},[274,1902,284],{},[274,1904,287],{},[274,1906,290],{},[274,1908,293],{},[422,1910,1911],{},"+",[271,1913,1914,1916],{},[274,1915,276],{},[268,1917,1918,1920,1922,1924,1926,1928,1930],{},[274,1919,231],{},[422,1921,424],{"separator":303},[274,1923,281],{},[274,1925,284],{},[274,1927,287],{},[274,1929,290],{},[274,1931,293],{},[422,1933,551],{},[422,1935,989],{"stretchy":988},[274,1937,557],{},[274,1939,420],{},[271,1941,1942,1944],{},[274,1943,581],{},[274,1945,420],{},[422,1947,1911],{},[274,1949,557],{},[274,1951,231],{},[271,1953,1954,1956],{},[274,1955,581],{},[274,1957,231],{},[422,1959,247],{"stretchy":988},[274,1961,587],{"mathvariant":586},[295,1963,1964],{"encoding":297},"J_{drift} = J_{n,drift} + J_{p,drift} = (qn\\mu_n + qp\\mu_p)\\mathcal{E}",[252,1966,1968,2038,2114,2190,2254],{"className":1967,"ariaHidden":303},[302],[252,1969,1971,1974,2029,2032,2035],{"className":1970},[307],[252,1972],{"className":1973,"style":312},[311],[252,1975,1977,1980],{"className":1976},[316],[252,1978,276],{"className":1979,"style":321},[316,320],[252,1981,1983],{"className":1982},[325],[252,1984,1986,2021],{"className":1985},[329,330],[252,1987,1989,2018],{"className":1988},[334],[252,1990,1992],{"className":1991,"style":339},[338],[252,1993,1994,1997],{"style":342},[252,1995],{"className":1996,"style":347},[346],[252,1998,2000],{"className":1999},[351,352,353,354],[252,2001,2003,2006,2009,2012,2015],{"className":2002},[316,354],[252,2004,281],{"className":2005},[316,320,354],[252,2007,284],{"className":2008,"style":364},[316,320,354],[252,2010,287],{"className":2011},[316,320,354],[252,2013,290],{"className":2014,"style":371},[316,320,354],[252,2016,293],{"className":2017},[316,320,354],[252,2019,379],{"className":2020},[378],[252,2022,2024],{"className":2023},[334],[252,2025,2027],{"className":2026,"style":386},[338],[252,2028],{},[252,2030],{"className":2031,"style":665},[664],[252,2033,551],{"className":2034},[669],[252,2036],{"className":2037,"style":665},[664],[252,2039,2041,2044,2105,2108,2111],{"className":2040},[307],[252,2042],{"className":2043,"style":312},[311],[252,2045,2047,2050],{"className":2046},[316],[252,2048,276],{"className":2049,"style":321},[316,320],[252,2051,2053],{"className":2052},[325],[252,2054,2056,2097],{"className":2055},[329,330],[252,2057,2059,2094],{"className":2058},[334],[252,2060,2062],{"className":2061,"style":339},[338],[252,2063,2064,2067],{"style":342},[252,2065],{"className":2066,"style":347},[346],[252,2068,2070],{"className":2069},[351,352,353,354],[252,2071,2073,2076,2079,2082,2085,2088,2091],{"className":2072},[316,354],[252,2074,420],{"className":2075},[316,320,354],[252,2077,424],{"className":2078},[482,354],[252,2080,281],{"className":2081},[316,320,354],[252,2083,284],{"className":2084,"style":364},[316,320,354],[252,2086,287],{"className":2087},[316,320,354],[252,2089,290],{"className":2090,"style":371},[316,320,354],[252,2092,293],{"className":2093},[316,320,354],[252,2095,379],{"className":2096},[378],[252,2098,2100],{"className":2099},[334],[252,2101,2103],{"className":2102,"style":386},[338],[252,2104],{},[252,2106],{"className":2107,"style":1053},[664],[252,2109,1911],{"className":2110},[1057],[252,2112],{"className":2113,"style":1053},[664],[252,2115,2117,2120,2181,2184,2187],{"className":2116},[307],[252,2118],{"className":2119,"style":312},[311],[252,2121,2123,2126],{"className":2122},[316],[252,2124,276],{"className":2125,"style":321},[316,320],[252,2127,2129],{"className":2128},[325],[252,2130,2132,2173],{"className":2131},[329,330],[252,2133,2135,2170],{"className":2134},[334],[252,2136,2138],{"className":2137,"style":339},[338],[252,2139,2140,2143],{"style":342},[252,2141],{"className":2142,"style":347},[346],[252,2144,2146],{"className":2145},[351,352,353,354],[252,2147,2149,2152,2155,2158,2161,2164,2167],{"className":2148},[316,354],[252,2150,231],{"className":2151},[316,320,354],[252,2153,424],{"className":2154},[482,354],[252,2156,281],{"className":2157},[316,320,354],[252,2159,284],{"className":2160,"style":364},[316,320,354],[252,2162,287],{"className":2163},[316,320,354],[252,2165,290],{"className":2166,"style":371},[316,320,354],[252,2168,293],{"className":2169},[316,320,354],[252,2171,379],{"className":2172},[378],[252,2174,2176],{"className":2175},[334],[252,2177,2179],{"className":2178,"style":386},[338],[252,2180],{},[252,2182],{"className":2183,"style":665},[664],[252,2185,551],{"className":2186},[669],[252,2188],{"className":2189,"style":665},[664],[252,2191,2193,2196,2199,2202,2205,2245,2248,2251],{"className":2192},[307],[252,2194],{"className":2195,"style":1037},[311],[252,2197,989],{"className":2198},[1041],[252,2200,557],{"className":2201,"style":686},[316,320],[252,2203,420],{"className":2204},[316,320],[252,2206,2208,2211],{"className":2207},[316],[252,2209,581],{"className":2210},[316,320],[252,2212,2214],{"className":2213},[325],[252,2215,2217,2237],{"className":2216},[329,330],[252,2218,2220,2234],{"className":2219},[334],[252,2221,2223],{"className":2222,"style":778},[338],[252,2224,2225,2228],{"style":781},[252,2226],{"className":2227,"style":347},[346],[252,2229,2231],{"className":2230},[351,352,353,354],[252,2232,420],{"className":2233},[316,320,354],[252,2235,379],{"className":2236},[378],[252,2238,2240],{"className":2239},[334],[252,2241,2243],{"className":2242,"style":735},[338],[252,2244],{},[252,2246],{"className":2247,"style":1053},[664],[252,2249,1911],{"className":2250},[1057],[252,2252],{"className":2253,"style":1053},[664],[252,2255,2257,2261,2264,2267,2307,2310],{"className":2256},[307],[252,2258],{"className":2259,"style":2260},[311],"height:1.0361em;vertical-align:-0.2861em;",[252,2262,557],{"className":2263,"style":686},[316,320],[252,2265,231],{"className":2266},[316,320],[252,2268,2270,2273],{"className":2269},[316],[252,2271,581],{"className":2272},[316,320],[252,2274,2276],{"className":2275},[325],[252,2277,2279,2299],{"className":2278},[329,330],[252,2280,2282,2296],{"className":2281},[334],[252,2283,2285],{"className":2284,"style":778},[338],[252,2286,2287,2290],{"style":781},[252,2288],{"className":2289,"style":347},[346],[252,2291,2293],{"className":2292},[351,352,353,354],[252,2294,231],{"className":2295},[316,320,354],[252,2297,379],{"className":2298},[378],[252,2300,2302],{"className":2301},[334],[252,2303,2305],{"className":2304,"style":386},[338],[252,2306],{},[252,2308,247],{"className":2309},[1049],[252,2311,587],{"className":2312,"style":806},[316,805],[2314,2315],"hr",{},[239,2317,2319,2320,2323,2324,2355,2356,2323,2359,247],{"id":2318},"_2-电导率和电阻率-conductivity-σsigmaσ-resistivity-ρrhoρ","2. 电导率和电阻率 (",[244,2321,2322],{},"Conductivity",", ",[252,2325,2327,2342],{"className":2326},[255],[252,2328,2330],{"className":2329},[259],[261,2331,2332],{"xmlns":263},[265,2333,2334,2339],{},[268,2335,2336],{},[274,2337,2338],{},"σ",[295,2340,2341],{"encoding":297},"\\sigma",[252,2343,2345],{"className":2344,"ariaHidden":303},[302],[252,2346,2348,2352],{"className":2347},[307],[252,2349],{"className":2350,"style":2351},[311],"height:0.4306em;",[252,2353,2338],{"className":2354,"style":686},[316,320],") (",[244,2357,2358],{},"Resistivity",[252,2360,2362,2377],{"className":2361},[255],[252,2363,2365],{"className":2364},[259],[261,2366,2367],{"xmlns":263},[265,2368,2369,2374],{},[268,2370,2371],{},[274,2372,2373],{},"ρ",[295,2375,2376],{"encoding":297},"\\rho",[252,2378,2380],{"className":2379,"ariaHidden":303},[302],[252,2381,2383,2387],{"className":2382},[307],[252,2384],{"className":2385,"style":2386},[311],"height:0.625em;vertical-align:-0.1944em;",[252,2388,2373],{"className":2389},[316,320],[231,2391,2392,2393,2515],{},"上面的总电流公式揭示了微观形式的欧姆定律 (Ohm's Law)：",[252,2394,2396,2430],{"className":2395},[255],[252,2397,2399],{"className":2398},[259],[261,2400,2401],{"xmlns":263},[265,2402,2403,2427],{},[268,2404,2405,2421,2423,2425],{},[271,2406,2407,2409],{},[274,2408,276],{},[268,2410,2411,2413,2415,2417,2419],{},[274,2412,281],{},[274,2414,284],{},[274,2416,287],{},[274,2418,290],{},[274,2420,293],{},[422,2422,551],{},[274,2424,2338],{},[274,2426,587],{"mathvariant":586},[295,2428,2429],{"encoding":297},"J_{drift} = \\sigma \\mathcal{E}",[252,2431,2433,2503],{"className":2432,"ariaHidden":303},[302],[252,2434,2436,2439,2494,2497,2500],{"className":2435},[307],[252,2437],{"className":2438,"style":312},[311],[252,2440,2442,2445],{"className":2441},[316],[252,2443,276],{"className":2444,"style":321},[316,320],[252,2446,2448],{"className":2447},[325],[252,2449,2451,2486],{"className":2450},[329,330],[252,2452,2454,2483],{"className":2453},[334],[252,2455,2457],{"className":2456,"style":339},[338],[252,2458,2459,2462],{"style":342},[252,2460],{"className":2461,"style":347},[346],[252,2463,2465],{"className":2464},[351,352,353,354],[252,2466,2468,2471,2474,2477,2480],{"className":2467},[316,354],[252,2469,281],{"className":2470},[316,320,354],[252,2472,284],{"className":2473,"style":364},[316,320,354],[252,2475,287],{"className":2476},[316,320,354],[252,2478,290],{"className":2479,"style":371},[316,320,354],[252,2481,293],{"className":2482},[316,320,354],[252,2484,379],{"className":2485},[378],[252,2487,2489],{"className":2488},[334],[252,2490,2492],{"className":2491,"style":386},[338],[252,2493],{},[252,2495],{"className":2496,"style":665},[664],[252,2498,551],{"className":2499},[669],[252,2501],{"className":2502,"style":665},[664],[252,2504,2506,2509,2512],{"className":2505},[307],[252,2507],{"className":2508,"style":1018},[311],[252,2510,2338],{"className":2511,"style":686},[316,320],[252,2513,587],{"className":2514,"style":806},[316,805],"。",[231,2517,2518,2519,2547],{},"通过对比，我们可以定义半导体的电导率（",[252,2520,2522,2535],{"className":2521},[255],[252,2523,2525],{"className":2524},[259],[261,2526,2527],{"xmlns":263},[265,2528,2529,2533],{},[268,2530,2531],{},[274,2532,2338],{},[295,2534,2341],{"encoding":297},[252,2536,2538],{"className":2537,"ariaHidden":303},[302],[252,2539,2541,2544],{"className":2540},[307],[252,2542],{"className":2543,"style":2351},[311],[252,2545,2338],{"className":2546,"style":686},[316,320],"）：",[252,2549,2551],{"className":2550},[515],[252,2552,2554,2592],{"className":2553},[255],[252,2555,2557],{"className":2556},[259],[261,2558,2559],{"xmlns":263,"display":524},[265,2560,2561,2589],{},[268,2562,2563,2565,2567,2569,2571,2577,2579,2581,2583],{},[274,2564,2338],{},[422,2566,551],{},[274,2568,557],{},[274,2570,420],{},[271,2572,2573,2575],{},[274,2574,581],{},[274,2576,420],{},[422,2578,1911],{},[274,2580,557],{},[274,2582,231],{},[271,2584,2585,2587],{},[274,2586,581],{},[274,2588,231],{},[295,2590,2591],{"encoding":297},"\\sigma = qn\\mu_n + qp\\mu_p",[252,2593,2595,2613,2674],{"className":2594,"ariaHidden":303},[302],[252,2596,2598,2601,2604,2607,2610],{"className":2597},[307],[252,2599],{"className":2600,"style":2351},[311],[252,2602,2338],{"className":2603,"style":686},[316,320],[252,2605],{"className":2606,"style":665},[664],[252,2608,551],{"className":2609},[669],[252,2611],{"className":2612,"style":665},[664],[252,2614,2616,2619,2622,2625,2665,2668,2671],{"className":2615},[307],[252,2617],{"className":2618,"style":679},[311],[252,2620,557],{"className":2621,"style":686},[316,320],[252,2623,420],{"className":2624},[316,320],[252,2626,2628,2631],{"className":2627},[316],[252,2629,581],{"className":2630},[316,320],[252,2632,2634],{"className":2633},[325],[252,2635,2637,2657],{"className":2636},[329,330],[252,2638,2640,2654],{"className":2639},[334],[252,2641,2643],{"className":2642,"style":778},[338],[252,2644,2645,2648],{"style":781},[252,2646],{"className":2647,"style":347},[346],[252,2649,2651],{"className":2650},[351,352,353,354],[252,2652,420],{"className":2653},[316,320,354],[252,2655,379],{"className":2656},[378],[252,2658,2660],{"className":2659},[334],[252,2661,2663],{"className":2662,"style":735},[338],[252,2664],{},[252,2666],{"className":2667,"style":1053},[664],[252,2669,1911],{"className":2670},[1057],[252,2672],{"className":2673,"style":1053},[664],[252,2675,2677,2680,2683,2686],{"className":2676},[307],[252,2678],{"className":2679,"style":1484},[311],[252,2681,557],{"className":2682,"style":686},[316,320],[252,2684,231],{"className":2685},[316,320],[252,2687,2689,2692],{"className":2688},[316],[252,2690,581],{"className":2691},[316,320],[252,2693,2695],{"className":2694},[325],[252,2696,2698,2718],{"className":2697},[329,330],[252,2699,2701,2715],{"className":2700},[334],[252,2702,2704],{"className":2703,"style":778},[338],[252,2705,2706,2709],{"style":781},[252,2707],{"className":2708,"style":347},[346],[252,2710,2712],{"className":2711},[351,352,353,354],[252,2713,231],{"className":2714},[316,320,354],[252,2716,379],{"className":2717},[378],[252,2719,2721],{"className":2720},[334],[252,2722,2724],{"className":2723,"style":386},[338],[252,2725],{},[391,2727,2728,2940,3099,3225],{},[394,2729,2730,2733,2734,2737,2738,2766,2767,2795,2796,2737,2799,2766,2869,2939],{},[397,2731,2732],{},"含义："," 电导率是衡量材料导电能力的物理量。它取决于材料中",[397,2735,2736],{},"电子和空穴的浓度","（",[252,2739,2741,2754],{"className":2740},[255],[252,2742,2744],{"className":2743},[259],[261,2745,2746],{"xmlns":263},[265,2747,2748,2752],{},[268,2749,2750],{},[274,2751,420],{},[295,2753,420],{"encoding":297},[252,2755,2757],{"className":2756,"ariaHidden":303},[302],[252,2758,2760,2763],{"className":2759},[307],[252,2761],{"className":2762,"style":2351},[311],[252,2764,420],{"className":2765},[316,320]," 和 ",[252,2768,2770,2783],{"className":2769},[255],[252,2771,2773],{"className":2772},[259],[261,2774,2775],{"xmlns":263},[265,2776,2777,2781],{},[268,2778,2779],{},[274,2780,231],{},[295,2782,231],{"encoding":297},[252,2784,2786],{"className":2785,"ariaHidden":303},[302],[252,2787,2789,2792],{"className":2788},[307],[252,2790],{"className":2791,"style":2386},[311],[252,2793,231],{"className":2794},[316,320],"）以及它们的",[397,2797,2798],{},"迁移率",[252,2800,2802,2820],{"className":2801},[255],[252,2803,2805],{"className":2804},[259],[261,2806,2807],{"xmlns":263},[265,2808,2809,2817],{},[268,2810,2811],{},[271,2812,2813,2815],{},[274,2814,581],{},[274,2816,420],{},[295,2818,2819],{"encoding":297},"\\mu_n",[252,2821,2823],{"className":2822,"ariaHidden":303},[302],[252,2824,2826,2829],{"className":2825},[307],[252,2827],{"className":2828,"style":2386},[311],[252,2830,2832,2835],{"className":2831},[316],[252,2833,581],{"className":2834},[316,320],[252,2836,2838],{"className":2837},[325],[252,2839,2841,2861],{"className":2840},[329,330],[252,2842,2844,2858],{"className":2843},[334],[252,2845,2847],{"className":2846,"style":778},[338],[252,2848,2849,2852],{"style":781},[252,2850],{"className":2851,"style":347},[346],[252,2853,2855],{"className":2854},[351,352,353,354],[252,2856,420],{"className":2857},[316,320,354],[252,2859,379],{"className":2860},[378],[252,2862,2864],{"className":2863},[334],[252,2865,2867],{"className":2866,"style":735},[338],[252,2868],{},[252,2870,2872,2890],{"className":2871},[255],[252,2873,2875],{"className":2874},[259],[261,2876,2877],{"xmlns":263},[265,2878,2879,2887],{},[268,2880,2881],{},[271,2882,2883,2885],{},[274,2884,581],{},[274,2886,231],{},[295,2888,2889],{"encoding":297},"\\mu_p",[252,2891,2893],{"className":2892,"ariaHidden":303},[302],[252,2894,2896,2899],{"className":2895},[307],[252,2897],{"className":2898,"style":1484},[311],[252,2900,2902,2905],{"className":2901},[316],[252,2903,581],{"className":2904},[316,320],[252,2906,2908],{"className":2907},[325],[252,2909,2911,2931],{"className":2910},[329,330],[252,2912,2914,2928],{"className":2913},[334],[252,2915,2917],{"className":2916,"style":778},[338],[252,2918,2919,2922],{"style":781},[252,2920],{"className":2921,"style":347},[346],[252,2923,2925],{"className":2924},[351,352,353,354],[252,2926,231],{"className":2927},[316,320,354],[252,2929,379],{"className":2930},[378],[252,2932,2934],{"className":2933},[334],[252,2935,2937],{"className":2936,"style":386},[338],[252,2938],{},"）。",[394,2941,2942,2945,2946,2949,2950,3094,3095,3098],{},[397,2943,2944],{},"单位 (Unit)："," ",[397,2947,2948],{},"1\u002Fohm-cm"," (即 ",[252,2951,2953,2994],{"className":2952},[255],[252,2954,2956],{"className":2955},[259],[261,2957,2958],{"xmlns":263},[265,2959,2960,2991],{},[268,2961,2962,2977,2980],{},[2963,2964,2965,2969],"msup",{},[274,2966,2968],{"mathvariant":2967},"normal","Ω",[268,2970,2971,2973],{},[422,2972,554],{},[2974,2975,2976],"mn",{},"1",[422,2978,2979],{},"⋅",[2963,2981,2982,2985],{},[991,2983,2984],{},"cm",[268,2986,2987,2989],{},[422,2988,554],{},[2974,2990,2976],{},[295,2992,2993],{"encoding":297},"\\Omega^{-1}\\cdot\\text{cm}^{-1}",[252,2995,2997,3049],{"className":2996,"ariaHidden":303},[302],[252,2998,3000,3004,3040,3043,3046],{"className":2999},[307],[252,3001],{"className":3002,"style":3003},[311],"height:0.8141em;",[252,3005,3007,3010],{"className":3006},[316],[252,3008,2968],{"className":3009},[316],[252,3011,3013],{"className":3012},[325],[252,3014,3016],{"className":3015},[329],[252,3017,3019],{"className":3018},[334],[252,3020,3022],{"className":3021,"style":3003},[338],[252,3023,3025,3028],{"style":3024},"top:-3.063em;margin-right:0.05em;",[252,3026],{"className":3027,"style":347},[346],[252,3029,3031],{"className":3030},[351,352,353,354],[252,3032,3034,3037],{"className":3033},[316,354],[252,3035,554],{"className":3036},[316,354],[252,3038,2976],{"className":3039},[316,354],[252,3041],{"className":3042,"style":1053},[664],[252,3044,2979],{"className":3045},[1057],[252,3047],{"className":3048,"style":1053},[664],[252,3050,3052,3055],{"className":3051},[307],[252,3053],{"className":3054,"style":3003},[311],[252,3056,3058,3065],{"className":3057},[316],[252,3059,3062],{"className":3060},[316,3061],"text",[252,3063,2984],{"className":3064},[316],[252,3066,3068],{"className":3067},[325],[252,3069,3071],{"className":3070},[329],[252,3072,3074],{"className":3073},[334],[252,3075,3077],{"className":3076,"style":3003},[338],[252,3078,3079,3082],{"style":3024},[252,3080],{"className":3081,"style":347},[346],[252,3083,3085],{"className":3084},[351,352,353,354],[252,3086,3088,3091],{"className":3087},[316,354],[252,3089,554],{"className":3090},[316,354],[252,3092,2976],{"className":3093},[316,354],") 或 ",[397,3096,3097],{},"S\u002Fcm"," (西门子\u002F厘米)。",[394,3100,3101,2737,3104,3132,3133,3161,3162],{},[397,3102,3103],{},"电阻率",[252,3105,3107,3120],{"className":3106},[255],[252,3108,3110],{"className":3109},[259],[261,3111,3112],{"xmlns":263},[265,3113,3114,3118],{},[268,3115,3116],{},[274,3117,2373],{},[295,3119,2376],{"encoding":297},[252,3121,3123],{"className":3122,"ariaHidden":303},[302],[252,3124,3126,3129],{"className":3125},[307],[252,3127],{"className":3128,"style":2386},[311],[252,3130,2373],{"className":3131},[316,320],"）是电导率（",[252,3134,3136,3149],{"className":3135},[255],[252,3137,3139],{"className":3138},[259],[261,3140,3141],{"xmlns":263},[265,3142,3143,3147],{},[268,3144,3145],{},[274,3146,2338],{},[295,3148,2341],{"encoding":297},[252,3150,3152],{"className":3151,"ariaHidden":303},[302],[252,3153,3155,3158],{"className":3154},[307],[252,3156],{"className":3157,"style":2351},[311],[252,3159,2338],{"className":3160,"style":686},[316,320],"）的倒数：",[252,3163,3165],{"className":3164},[515],[252,3166,3168,3191],{"className":3167},[255],[252,3169,3171],{"className":3170},[259],[261,3172,3173],{"xmlns":263,"display":524},[265,3174,3175,3188],{},[268,3176,3177,3179,3181,3183,3186],{},[274,3178,2373],{},[422,3180,551],{},[2974,3182,2976],{},[274,3184,3185],{"mathvariant":2967},"\u002F",[274,3187,2338],{},[295,3189,3190],{"encoding":297},"\\rho = 1 \u002F \\sigma",[252,3192,3194,3212],{"className":3193,"ariaHidden":303},[302],[252,3195,3197,3200,3203,3206,3209],{"className":3196},[307],[252,3198],{"className":3199,"style":2386},[311],[252,3201,2373],{"className":3202},[316,320],[252,3204],{"className":3205,"style":665},[664],[252,3207,551],{"className":3208},[669],[252,3210],{"className":3211,"style":665},[664],[252,3213,3215,3218,3222],{"className":3214},[307],[252,3216],{"className":3217,"style":1037},[311],[252,3219,3221],{"className":3220},[316],"1\u002F",[252,3223,2338],{"className":3224,"style":686},[316,320],[394,3226,3227,3230,3233,3428,3429,3608,3609],{},[397,3228,3229],{},"计算：常遇到n型或者p型，常常因为n p差距过大，只需要计算其中主导的一项",[397,3231,3232],{},"，即",[252,3234,3236,3270],{"className":3235},[255],[252,3237,3239],{"className":3238},[259],[261,3240,3241],{"xmlns":263},[265,3242,3243,3267],{},[268,3244,3245,3247,3250],{},[274,3246,2373],{},[422,3248,3249],{},"≈",[3251,3252,3253,3255],"mfrac",{},[2974,3254,2976],{},[268,3256,3257,3259,3261],{},[274,3258,557],{},[274,3260,420],{},[271,3262,3263,3265],{},[274,3264,581],{},[274,3266,420],{},[295,3268,3269],{"encoding":297},"\\rho\\approx\\frac{1}{qn\\mu_{n}}",[252,3271,3273,3292],{"className":3272,"ariaHidden":303},[302],[252,3274,3276,3280,3283,3286,3289],{"className":3275},[307],[252,3277],{"className":3278,"style":3279},[311],"height:0.6776em;vertical-align:-0.1944em;",[252,3281,2373],{"className":3282},[316,320],[252,3284],{"className":3285,"style":665},[664],[252,3287,3249],{"className":3288},[669],[252,3290],{"className":3291,"style":665},[664],[252,3293,3295,3299],{"className":3294},[307],[252,3296],{"className":3297,"style":3298},[311],"height:1.3262em;vertical-align:-0.4811em;",[252,3300,3302,3306,3425],{"className":3301},[316],[252,3303],{"className":3304},[1041,3305],"nulldelimiter",[252,3307,3309],{"className":3308},[3251],[252,3310,3312,3416],{"className":3311},[329,330],[252,3313,3315,3413],{"className":3314},[334],[252,3316,3319,3387,3398],{"className":3317,"style":3318},[338],"height:0.8451em;",[252,3320,3322,3326],{"style":3321},"top:-2.655em;",[252,3323],{"className":3324,"style":3325},[346],"height:3em;",[252,3327,3329],{"className":3328},[351,352,353,354],[252,3330,3332,3335,3338],{"className":3331},[316,354],[252,3333,557],{"className":3334,"style":686},[316,320,354],[252,3336,420],{"className":3337},[316,320,354],[252,3339,3341,3344],{"className":3340},[316,354],[252,3342,581],{"className":3343},[316,320,354],[252,3345,3347],{"className":3346},[325],[252,3348,3350,3378],{"className":3349},[329,330],[252,3351,3353,3375],{"className":3352},[334],[252,3354,3357],{"className":3355,"style":3356},[338],"height:0.1645em;",[252,3358,3360,3364],{"style":3359},"top:-2.357em;margin-left:0em;margin-right:0.0714em;",[252,3361],{"className":3362,"style":3363},[346],"height:2.5em;",[252,3365,3369],{"className":3366},[351,3367,3368,354],"reset-size3","size1",[252,3370,3372],{"className":3371},[316,354],[252,3373,420],{"className":3374},[316,320,354],[252,3376,379],{"className":3377},[378],[252,3379,3381],{"className":3380},[334],[252,3382,3385],{"className":3383,"style":3384},[338],"height:0.143em;",[252,3386],{},[252,3388,3390,3393],{"style":3389},"top:-3.23em;",[252,3391],{"className":3392,"style":3325},[346],[252,3394],{"className":3395,"style":3397},[3396],"frac-line","border-bottom-width:0.04em;",[252,3399,3401,3404],{"style":3400},"top:-3.394em;",[252,3402],{"className":3403,"style":3325},[346],[252,3405,3407],{"className":3406},[351,352,353,354],[252,3408,3410],{"className":3409},[316,354],[252,3411,2976],{"className":3412},[316,354],[252,3414,379],{"className":3415},[378],[252,3417,3419],{"className":3418},[334],[252,3420,3423],{"className":3421,"style":3422},[338],"height:0.4811em;",[252,3424],{},[252,3426],{"className":3427},[1049,3305],"(for n-type 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→ 迁移率 ",[252,4223,4225,4239],{"className":4224},[255],[252,4226,4228],{"className":4227},[259],[261,4229,4230],{"xmlns":263},[265,4231,4232,4236],{},[268,4233,4234],{},[274,4235,581],{},[295,4237,4238],{"encoding":297},"\\mu",[252,4240,4242],{"className":4241,"ariaHidden":303},[302],[252,4243,4245,4248],{"className":4244},[307],[252,4246],{"className":4247,"style":2386},[311],[252,4249,581],{"className":4250},[316,320]," 下降、电阻率 ",[252,4253,4255,4268],{"className":4254},[255],[252,4256,4258],{"className":4257},[259],[261,4259,4260],{"xmlns":263},[265,4261,4262,4266],{},[268,4263,4264],{},[274,4265,2373],{},[295,4267,2376],{"encoding":297},[252,4269,4271],{"className":4270,"ariaHidden":303},[302],[252,4272,4274,4277],{"className":4273},[307],[252,4275],{"className":4276,"style":2386},[311],[252,4278,2373],{"className":4279},[316,320]," 升高，简单的 ",[252,4282,4284,4334],{"className":4283},[255],[252,4285,4287],{"className":4286},[259],[261,4288,4289],{"xmlns":263},[265,4290,4291,4331],{},[268,4292,4293,4295,4298,4301,4303,4305,4307,4309,4311,4317,4319,4321,4327,4329],{},[274,4294,2373],{},[991,4296,4297],{}," ⁣",[422,4299,4300],{},"∼",[991,4302,4297],{},[2974,4304,2976],{},[274,4306,3185],{"mathvariant":2967},[422,4308,989],{"stretchy":988},[274,4310,557],{},[271,4312,4313,4315],{},[274,4314,3642],{},[991,4316,3806],{},[274,4318,581],{},[422,4320,989],{"stretchy":988},[271,4322,4323,4325],{},[274,4324,3642],{},[991,4326,3806],{},[422,4328,247],{"stretchy":988},[422,4330,247],{"stretchy":988},[295,4332,4333],{"encoding":297},"\\rho\\!\\sim\\!1\u002F(qN_{\\text{net}}\\mu(N_{\\text{net}}))",[252,4335,4337,4362],{"className":4336,"ariaHidden":303},[302],[252,4338,4340,4343,4346,4350,4353,4356,4359],{"className":4339},[307],[252,4341],{"className":4342,"style":2386},[311],[252,4344,2373],{"className":4345},[316,320],[252,4347],{"className":4348,"style":4349},[664],"margin-right:-0.1667em;",[252,4351],{"className":4352,"style":665},[664],[252,4354,4300],{"className":4355},[669],[252,4357],{"className":4358,"style":4349},[664],[252,4360],{"className":4361,"style":665},[664],[252,4363,4365,4368,4371,4374,4377,4423,4426,4429,4475],{"className":4364},[307],[252,4366],{"className":4367,"style":1037},[311],[252,4369,3221],{"className":4370},[316],[252,4372,989],{"className":4373},[1041],[252,4375,557],{"className":4376,"style":686},[316,320],[252,4378,4380,4383],{"className":4379},[316],[252,4381,3642],{"className":4382,"style":3665},[316,320],[252,4384,4386],{"className":4385},[325],[252,4387,4389,4415],{"className":4388},[329,330],[252,4390,4392,4412],{"className":4391},[334],[252,4393,4395],{"className":4394,"style":3858},[338],[252,4396,4397,4400],{"style":3681},[252,4398],{"className":4399,"style":347},[346],[252,4401,4403],{"className":4402},[351,352,353,354],[252,4404,4406],{"className":4405},[316,354],[252,4407,4409],{"className":4408},[316,3061,354],[252,4410,3806],{"className":4411},[316,354],[252,4413,379],{"className":4414},[378],[252,4416,4418],{"className":4417},[334],[252,4419,4421],{"className":4420,"style":735},[338],[252,4422],{},[252,4424,581],{"className":4425},[316,320],[252,4427,989],{"className":4428},[1041],[252,4430,4432,4435],{"className":4431},[316],[252,4433,3642],{"className":4434,"style":3665},[316,320],[252,4436,4438],{"className":4437},[325],[252,4439,4441,4467],{"className":4440},[329,330],[252,4442,4444,4464],{"className":4443},[334],[252,4445,4447],{"className":4446,"style":3858},[338],[252,4448,4449,4452],{"style":3681},[252,4450],{"className":4451,"style":347},[346],[252,4453,4455],{"className":4454},[351,352,353,354],[252,4456,4458],{"className":4457},[316,354],[252,4459,4461],{"className":4460},[316,3061,354],[252,4462,3806],{"className":4463},[316,354],[252,4465,379],{"className":4466},[378],[252,4468,4470],{"className":4469},[334],[252,4471,4473],{"className":4472,"style":735},[338],[252,4474],{},[252,4476,4478],{"className":4477},[1049],"))"," 曲线就不再适用了，因为 ",[252,4481,4483,4496],{"className":4482},[255],[252,4484,4486],{"className":4485},[259],[261,4487,4488],{"xmlns":263},[265,4489,4490,4494],{},[268,4491,4492],{},[274,4493,581],{},[295,4495,4238],{"encoding":297},[252,4497,4499],{"className":4498,"ariaHidden":303},[302],[252,4500,4502,4505],{"className":4501},[307],[252,4503],{"className":4504,"style":2386},[311],[252,4506,581],{"className":4507},[316,320]," 实际受 ",[252,4510,4512,4530],{"className":4511},[255],[252,4513,4515],{"className":4514},[259],[261,4516,4517],{"xmlns":263},[265,4518,4519,4527],{},[268,4520,4521],{},[271,4522,4523,4525],{},[274,4524,3642],{},[991,4526,4029],{},[295,4528,4529],{"encoding":297},"N_{\\text{total}}",[252,4531,4533],{"className":4532,"ariaHidden":303},[302],[252,4534,4536,4539],{"className":4535},[307],[252,4537],{"className":4538,"style":3658},[311],[252,4540,4542,4545],{"className":4541},[316],[252,4543,3642],{"className":4544,"style":3665},[316,320],[252,4546,4548],{"className":4547},[325],[252,4549,4551,4577],{"className":4550},[329,330],[252,4552,4554,4574],{"className":4553},[334],[252,4555,4557],{"className":4556,"style":339},[338],[252,4558,4559,4562],{"style":3681},[252,4560],{"className":4561,"style":347},[346],[252,4563,4565],{"className":4564},[351,352,353,354],[252,4566,4568],{"className":4567},[316,354],[252,4569,4571],{"className":4570},[316,3061,354],[252,4572,4029],{"className":4573},[316,354],[252,4575,379],{"className":4576},[378],[252,4578,4580],{"className":4579},[334],[252,4581,4583],{"className":4582,"style":735},[338],[252,4584],{}," 控制：",[252,4587,4589,4625],{"className":4588},[255],[252,4590,4592],{"className":4591},[259],[261,4593,4594],{"xmlns":263},[265,4595,4596,4622],{},[268,4597,4598,4600,4602,4604,4606,4612,4614,4620],{},[274,4599,581],{},[422,4601,3249],{},[274,4603,581],{},[422,4605,989],{"stretchy":988},[271,4607,4608,4610],{},[274,4609,3642],{},[274,4611,3645],{},[422,4613,1911],{},[271,4615,4616,4618],{},[274,4617,3642],{},[274,4619,3723],{},[422,4621,247],{"stretchy":988},[295,4623,4624],{"encoding":297},"\\mu\\approx \\mu(N_D+N_A)",[252,4626,4628,4646,4707],{"className":4627,"ariaHidden":303},[302],[252,4629,4631,4634,4637,4640,4643],{"className":4630},[307],[252,4632],{"className":4633,"style":3279},[311],[252,4635,581],{"className":4636},[316,320],[252,4638],{"className":4639,"style":665},[664],[252,4641,3249],{"className":4642},[669],[252,4644],{"className":4645,"style":665},[664],[252,4647,4649,4652,4655,4658,4698,4701,4704],{"className":4648},[307],[252,4650],{"className":4651,"style":1037},[311],[252,4653,581],{"className":4654},[316,320],[252,4656,989],{"className":4657},[1041],[252,4659,4661,4664],{"className":4660},[316],[252,4662,3642],{"className":4663,"style":3665},[316,320],[252,4665,4667],{"className":4666},[325],[252,4668,4670,4690],{"className":4669},[329,330],[252,4671,4673,4687],{"className":4672},[334],[252,4674,4676],{"className":4675,"style":3678},[338],[252,4677,4678,4681],{"style":3681},[252,4679],{"className":4680,"style":347},[346],[252,4682,4684],{"className":4683},[351,352,353,354],[252,4685,3645],{"className":4686,"style":364},[316,320,354],[252,4688,379],{"className":4689},[378],[252,4691,4693],{"className":4692},[334],[252,4694,4696],{"className":4695,"style":735},[338],[252,4697],{},[252,4699],{"className":4700,"style":1053},[664],[252,4702,1911],{"className":4703},[1057],[252,4705],{"className":4706,"style":1053},[664],[252,4708,4710,4713,4753],{"className":4709},[307],[252,4711],{"className":4712,"style":1037},[311],[252,4714,4716,4719],{"className":4715},[316],[252,4717,3642],{"className":4718,"style":3665},[316,320],[252,4720,4722],{"className":4721},[325],[252,4723,4725,4745],{"className":4724},[329,330],[252,4726,4728,4742],{"className":4727},[334],[252,4729,4731],{"className":4730,"style":3678},[338],[252,4732,4733,4736],{"style":3681},[252,4734],{"className":4735,"style":347},[346],[252,4737,4739],{"className":4738},[351,352,353,354],[252,4740,3723],{"className":4741},[316,320,354],[252,4743,379],{"className":4744},[378],[252,4746,4748],{"className":4747},[334],[252,4749,4751],{"className":4750,"style":735},[338],[252,4752],{},[252,4754,247],{"className":4755},[1049],[231,4757,4758],{},[234,4759],{"alt":4760,"src":4761},"image.png","\u002Fimg\u002FMicroelectronicDevices\u002FLecture4-03.png",[391,4763,4764,4774],{},[394,4765,4766,4767,4770,4771],{},"电阻率和",[397,4768,4769],{},"温度","的关系（主要是由迁移率变化所引起，见Lecture3）\n",[234,4772],{"alt":4760,"src":4773},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture4-17.png",[394,4775,4776,4777],{},"顺带提一下宏观上的欧姆定律\n",[234,4778],{"alt":4760,"src":4779},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture4-18.png",[239,4781,4783],{"id":4782},"势能动能电势电场-图示只是在做基础概念铺垫","势能，动能，电势，电场 图示（只是在做基础概念铺垫）",[4785,4786,4787],"ol",{},[394,4788,4789,4790],{},"理解动能与势能的图示，注意电子与空穴能量增加的方向不同\n",[234,4791],{"alt":4760,"src":4792},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture4-09.png",[231,4794,4795,4796,4949,4950,4953,4954],{},"电子在导带的势能是",[252,4797,4799,4834],{"className":4798},[255],[252,4800,4802],{"className":4801},[259],[261,4803,4804],{"xmlns":263},[265,4805,4806,4831],{},[268,4807,4808,4816,4818,4820,4822,4824],{},[271,4809,4810,4813],{},[274,4811,4812],{},"U",[274,4814,4815],{},"e",[422,4817,989],{"stretchy":988},[274,4819,587],{},[422,4821,247],{"stretchy":988},[422,4823,551],{},[271,4825,4826,4828],{},[274,4827,587],{},[274,4829,4830],{},"c",[295,4832,4833],{"encoding":297},"U_e(E)=E_c",[252,4835,4837,4902],{"className":4836,"ariaHidden":303},[302],[252,4838,4840,4843,4883,4886,4890,4893,4896,4899],{"className":4839},[307],[252,4841],{"className":4842,"style":1037},[311],[252,4844,4846,4849],{"className":4845},[316],[252,4847,4812],{"className":4848,"style":3665},[316,320],[252,4850,4852],{"className":4851},[325],[252,4853,4855,4875],{"className":4854},[329,330],[252,4856,4858,4872],{"className":4857},[334],[252,4859,4861],{"className":4860,"style":778},[338],[252,4862,4863,4866],{"style":3681},[252,4864],{"className":4865,"style":347},[346],[252,4867,4869],{"className":4868},[351,352,353,354],[252,4870,4815],{"className":4871},[316,320,354],[252,4873,379],{"className":4874},[378],[252,4876,4878],{"className":4877},[334],[252,4879,4881],{"className":4880,"style":735},[338],[252,4882],{},[252,4884,989],{"className":4885},[1041],[252,4887,587],{"className":4888,"style":4889},[316,320],"margin-right:0.0576em;",[252,4891,247],{"className":4892},[1049],[252,4894],{"className":4895,"style":665},[664],[252,4897,551],{"className":4898},[669],[252,4900],{"className":4901,"style":665},[664],[252,4903,4905,4908],{"className":4904},[307],[252,4906],{"className":4907,"style":3658},[311],[252,4909,4911,4914],{"className":4910},[316],[252,4912,587],{"className":4913,"style":4889},[316,320],[252,4915,4917],{"className":4916},[325],[252,4918,4920,4941],{"className":4919},[329,330],[252,4921,4923,4938],{"className":4922},[334],[252,4924,4926],{"className":4925,"style":778},[338],[252,4927,4929,4932],{"style":4928},"top:-2.55em;margin-left:-0.0576em;margin-right:0.05em;",[252,4930],{"className":4931,"style":347},[346],[252,4933,4935],{"className":4934},[351,352,353,354],[252,4936,4830],{"className":4937},[316,320,354],[252,4939,379],{"className":4940},[378],[252,4942,4944],{"className":4943},[334],[252,4945,4947],{"className":4946,"style":735},[338],[252,4948],{},"（差一个常数不影响物理），它的",[397,4951,4952],{},"动能","是",[252,4955,4957,5006],{"className":4956},[255],[252,4958,4960],{"className":4959},[259],[261,4961,4962],{"xmlns":263},[265,4963,4964,5003],{},[268,4965,4966,4973,4975,4977,4979,4985,4988,4990,4992,4995,5001],{},[271,4967,4968,4971],{},[274,4969,4970],{},"K",[274,4972,4815],{},[422,4974,551],{},[274,4976,587],{},[422,4978,554],{},[271,4980,4981,4983],{},[274,4982,587],{},[274,4984,4830],{},[664,4986],{"width":4987},"1em",[422,4989,989],{"stretchy":988},[274,4991,587],{},[422,4993,4994],{},"≥",[271,4996,4997,4999],{},[274,4998,587],{},[274,5000,4830],{},[422,5002,247],{"stretchy":988},[295,5004,5005],{"encoding":297},"K_e = E - E_c \\quad (E\\ge E_c)",[252,5007,5009,5066,5085,5150],{"className":5008,"ariaHidden":303},[302],[252,5010,5012,5015,5057,5060,5063],{"className":5011},[307],[252,5013],{"className":5014,"style":3658},[311],[252,5016,5018,5022],{"className":5017},[316],[252,5019,4970],{"className":5020,"style":5021},[316,320],"margin-right:0.0715em;",[252,5023,5025],{"className":5024},[325],[252,5026,5028,5049],{"className":5027},[329,330],[252,5029,5031,5046],{"className":5030},[334],[252,5032,5034],{"className":5033,"style":778},[338],[252,5035,5037,5040],{"style":5036},"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;",[252,5038],{"className":5039,"style":347},[346],[252,5041,5043],{"className":5042},[351,352,353,354],[252,5044,4815],{"className":5045},[316,320,354],[252,5047,379],{"className":5048},[378],[252,5050,5052],{"className":5051},[334],[252,5053,5055],{"className":5054,"style":735},[338],[252,5056],{},[252,5058],{"className":5059,"style":665},[664],[252,5061,551],{"className":5062},[669],[252,5064],{"className":5065,"style":665},[664],[252,5067,5069,5073,5076,5079,5082],{"className":5068},[307],[252,5070],{"className":5071,"style":5072},[311],"height:0.7667em;vertical-align:-0.0833em;",[252,5074,587],{"className":5075,"style":4889},[316,320],[252,5077],{"className":5078,"style":1053},[664],[252,5080,554],{"className":5081},[1057],[252,5083],{"className":5084,"style":1053},[664],[252,5086,5088,5091,5131,5135,5138,5141,5144,5147],{"className":5087},[307],[252,5089],{"className":5090,"style":1037},[311],[252,5092,5094,5097],{"className":5093},[316],[252,5095,587],{"className":5096,"style":4889},[316,320],[252,5098,5100],{"className":5099},[325],[252,5101,5103,5123],{"className":5102},[329,330],[252,5104,5106,5120],{"className":5105},[334],[252,5107,5109],{"className":5108,"style":778},[338],[252,5110,5111,5114],{"style":4928},[252,5112],{"className":5113,"style":347},[346],[252,5115,5117],{"className":5116},[351,352,353,354],[252,5118,4830],{"className":5119},[316,320,354],[252,5121,379],{"className":5122},[378],[252,5124,5126],{"className":5125},[334],[252,5127,5129],{"className":5128,"style":735},[338],[252,5130],{},[252,5132],{"className":5133,"style":5134},[664],"margin-right:1em;",[252,5136,989],{"className":5137},[1041],[252,5139,587],{"className":5140,"style":4889},[316,320],[252,5142],{"className":5143,"style":665},[664],[252,5145,4994],{"className":5146},[669],[252,5148],{"className":5149,"style":665},[664],[252,5151,5153,5156,5196],{"className":5152},[307],[252,5154],{"className":5155,"style":1037},[311],[252,5157,5159,5162],{"className":5158},[316],[252,5160,587],{"className":5161,"style":4889},[316,320],[252,5163,5165],{"className":5164},[325],[252,5166,5168,5188],{"className":5167},[329,330],[252,5169,5171,5185],{"className":5170},[334],[252,5172,5174],{"className":5173,"style":778},[338],[252,5175,5176,5179],{"style":4928},[252,5177],{"className":5178,"style":347},[346],[252,5180,5182],{"className":5181},[351,352,353,354],[252,5183,4830],{"className":5184},[316,320,354],[252,5186,379],{"className":5187},[378],[252,5189,5191],{"className":5190},[334],[252,5192,5194],{"className":5193,"style":735},[338],[252,5195],{},[252,5197,247],{"className":5198},[1049],[231,5200,5201,5202,5272],{},"所以“离 ",[252,5203,5205,5223],{"className":5204},[255],[252,5206,5208],{"className":5207},[259],[261,5209,5210],{"xmlns":263},[265,5211,5212,5220],{},[268,5213,5214],{},[271,5215,5216,5218],{},[274,5217,587],{},[274,5219,4830],{},[295,5221,5222],{"encoding":297},"E_c",[252,5224,5226],{"className":5225,"ariaHidden":303},[302],[252,5227,5229,5232],{"className":5228},[307],[252,5230],{"className":5231,"style":3658},[311],[252,5233,5235,5238],{"className":5234},[316],[252,5236,587],{"className":5237,"style":4889},[316,320],[252,5239,5241],{"className":5240},[325],[252,5242,5244,5264],{"className":5243},[329,330],[252,5245,5247,5261],{"className":5246},[334],[252,5248,5250],{"className":5249,"style":778},[338],[252,5251,5252,5255],{"style":4928},[252,5253],{"className":5254,"style":347},[346],[252,5256,5258],{"className":5257},[351,352,353,354],[252,5259,4830],{"className":5260},[316,320,354],[252,5262,379],{"className":5263},[378],[252,5265,5267],{"className":5266},[334],[252,5268,5270],{"className":5269,"style":735},[338],[252,5271],{}," 越远，电子动能越大”",[231,5274,5275,5276,5475,5476,5546],{},"空穴在价带的动能是",[252,5277,5279,5323],{"className":5278},[255],[252,5280,5282],{"className":5281},[259],[261,5283,5284],{"xmlns":263},[265,5285,5286,5320],{},[268,5287,5288,5295,5297,5303,5305,5307,5309,5311,5314,5316,5318],{},[271,5289,5290,5292],{},[274,5291,4970],{},[274,5293,5294],{},"h",[422,5296,551],{},[271,5298,5299,5301],{},[274,5300,587],{},[274,5302,564],{},[422,5304,554],{},[274,5306,587],{},[422,5308,989],{"stretchy":988},[274,5310,587],{},[422,5312,5313],{},"≤",[274,5315,587],{},[274,5317,564],{},[422,5319,247],{"stretchy":988},[295,5321,5322],{"encoding":297},"K_h=E_v−E(E≤Ev)",[252,5324,5326,5381,5436,5460],{"className":5325,"ariaHidden":303},[302],[252,5327,5329,5332,5372,5375,5378],{"className":5328},[307],[252,5330],{"className":5331,"style":3658},[311],[252,5333,5335,5338],{"className":5334},[316],[252,5336,4970],{"className":5337,"style":5021},[316,320],[252,5339,5341],{"className":5340},[325],[252,5342,5344,5364],{"className":5343},[329,330],[252,5345,5347,5361],{"className":5346},[334],[252,5348,5350],{"className":5349,"style":339},[338],[252,5351,5352,5355],{"style":5036},[252,5353],{"className":5354,"style":347},[346],[252,5356,5358],{"className":5357},[351,352,353,354],[252,5359,5294],{"className":5360},[316,320,354],[252,5362,379],{"className":5363},[378],[252,5365,5367],{"className":5366},[334],[252,5368,5370],{"className":5369,"style":735},[338],[252,5371],{},[252,5373],{"className":5374,"style":665},[664],[252,5376,551],{"className":5377},[669],[252,5379],{"className":5380,"style":665},[664],[252,5382,5384,5387,5427,5430,5433],{"className":5383},[307],[252,5385],{"className":5386,"style":3658},[311],[252,5388,5390,5393],{"className":5389},[316],[252,5391,587],{"className":5392,"style":4889},[316,320],[252,5394,5396],{"className":5395},[325],[252,5397,5399,5419],{"className":5398},[329,330],[252,5400,5402,5416],{"className":5401},[334],[252,5403,5405],{"className":5404,"style":778},[338],[252,5406,5407,5410],{"style":4928},[252,5408],{"className":5409,"style":347},[346],[252,5411,5413],{"className":5412},[351,352,353,354],[252,5414,564],{"className":5415,"style":686},[316,320,354],[252,5417,379],{"className":5418},[378],[252,5420,5422],{"className":5421},[334],[252,5423,5425],{"className":5424,"style":735},[338],[252,5426],{},[252,5428],{"className":5429,"style":1053},[664],[252,5431,554],{"className":5432},[1057],[252,5434],{"className":5435,"style":1053},[664],[252,5437,5439,5442,5445,5448,5451,5454,5457],{"className":5438},[307],[252,5440],{"className":5441,"style":1037},[311],[252,5443,587],{"className":5444,"style":4889},[316,320],[252,5446,989],{"className":5447},[1041],[252,5449,587],{"className":5450,"style":4889},[316,320],[252,5452],{"className":5453,"style":665},[664],[252,5455,5313],{"className":5456},[669],[252,5458],{"className":5459,"style":665},[664],[252,5461,5463,5466,5469,5472],{"className":5462},[307],[252,5464],{"className":5465,"style":1037},[311],[252,5467,587],{"className":5468,"style":4889},[316,320],[252,5470,564],{"className":5471,"style":686},[316,320],[252,5473,247],{"className":5474},[1049],"离 ",[252,5477,5479,5497],{"className":5478},[255],[252,5480,5482],{"className":5481},[259],[261,5483,5484],{"xmlns":263},[265,5485,5486,5494],{},[268,5487,5488],{},[271,5489,5490,5492],{},[274,5491,587],{},[274,5493,564],{},[295,5495,5496],{"encoding":297},"E_v",[252,5498,5500],{"className":5499,"ariaHidden":303},[302],[252,5501,5503,5506],{"className":5502},[307],[252,5504],{"className":5505,"style":3658},[311],[252,5507,5509,5512],{"className":5508},[316],[252,5510,587],{"className":5511,"style":4889},[316,320],[252,5513,5515],{"className":5514},[325],[252,5516,5518,5538],{"className":5517},[329,330],[252,5519,5521,5535],{"className":5520},[334],[252,5522,5524],{"className":5523,"style":778},[338],[252,5525,5526,5529],{"style":4928},[252,5527],{"className":5528,"style":347},[346],[252,5530,5532],{"className":5531},[351,352,353,354],[252,5533,564],{"className":5534,"style":686},[316,320,354],[252,5536,379],{"className":5537},[378],[252,5539,5541],{"className":5540},[334],[252,5542,5544],{"className":5543,"style":735},[338],[252,5545],{}," 越低，表示空穴动能越大",[4785,5548,5549],{},[394,5550,5551,5552],{},"能区分图中电子和空穴移动的方向\n",[234,5553],{"alt":4760,"src":5554},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture4-14.png",[3614,5556,5557],{},[231,5558,5559],{},"可以理解为电子和空穴各自往自己能量低的方向移动，电子越往下能量越低，俞老师：电子是个滚下山的小球，翻转180°就是空穴在下山了",[4785,5561,5562],{},[394,5563,5564,5565,2945,5568,5597,5598,2945,5601,247],{},"静电势(",[397,5566,5567],{},"Electrostatic Potential,",[252,5569,5571,5585],{"className":5570},[255],[252,5572,5574],{"className":5573},[259],[261,5575,5576],{"xmlns":263},[265,5577,5578,5583],{},[268,5579,5580],{},[274,5581,5582],{},"V",[295,5584,5582],{"encoding":297},[252,5586,5588],{"className":5587,"ariaHidden":303},[302],[252,5589,5591,5594],{"className":5590},[307],[252,5592],{"className":5593,"style":1018},[311],[252,5595,5582],{"className":5596,"style":1053},[316,320],")与电场(",[397,5599,5600],{},"Electric Field,",[252,5602,5604,5617],{"className":5603},[255],[252,5605,5607],{"className":5606},[259],[261,5608,5609],{"xmlns":263},[265,5610,5611,5615],{},[268,5612,5613],{},[274,5614,587],{"mathvariant":586},[295,5616,1100],{"encoding":297},[252,5618,5620],{"className":5619,"ariaHidden":303},[302],[252,5621,5623,5626],{"className":5622},[307],[252,5624],{"className":5625,"style":1018},[311],[252,5627,587],{"className":5628,"style":806},[316,805],[5630,5631,5633],"table",{"style":5632},"width: 100%; border: 0; border-collapse: collapse; border-spacing: 0;",[5634,5635,5636],"tbody",{},[5637,5638,5640,5641,5640,5651],"tr",{"style":5639},"border: none;","\n  ",[5642,5643,5645,5640],"td",{"style":5644},"width: 47.2%; text-align: center; border: none; padding: 0.3em; margin: 0;",[231,5646,5647],{},[234,5648],{"alt":5649,"src":5650},"PixPin_2025-11-12_20-34-27.png","\u002Fimg\u002FMicroelectronicDevices\u002FLecture4-04.png",[5642,5652,5654,5640],{"style":5653},"width: 52.8%; text-align: center; border: none; padding: 0.3em; margin: 0;",[231,5655,5656],{},[234,5657],{"alt":5658,"src":5659},"PixPin_2025-11-12_20-34-41.png","\u002Fimg\u002FMicroelectronicDevices\u002FLecture4-12.png",[231,5661,5662,5663,5732,5733,5736,5742,5745,5748],{},"Variation of ",[252,5664,5666,5683],{"className":5665},[255],[252,5667,5669],{"className":5668},[259],[261,5670,5671],{"xmlns":263},[265,5672,5673,5681],{},[268,5674,5675],{},[271,5676,5677,5679],{},[274,5678,587],{},[274,5680,4830],{},[295,5682,5222],{"encoding":297},[252,5684,5686],{"className":5685,"ariaHidden":303},[302],[252,5687,5689,5692],{"className":5688},[307],[252,5690],{"className":5691,"style":3658},[311],[252,5693,5695,5698],{"className":5694},[316],[252,5696,587],{"className":5697,"style":4889},[316,320],[252,5699,5701],{"className":5700},[325],[252,5702,5704,5724],{"className":5703},[329,330],[252,5705,5707,5721],{"className":5706},[334],[252,5708,5710],{"className":5709,"style":778},[338],[252,5711,5712,5715],{"style":4928},[252,5713],{"className":5714,"style":347},[346],[252,5716,5718],{"className":5717},[351,352,353,354],[252,5719,4830],{"className":5720},[316,320,354],[252,5722,379],{"className":5723},[378],[252,5725,5727],{"className":5726},[334],[252,5728,5730],{"className":5729,"style":735},[338],[252,5731],{}," with position is called ",[397,5734,5735],{},"“",[397,5737,5738],{},[5739,5740,5741],"em",{},"band bending",[397,5743,5744],{},".”(",[397,5746,5747],{},"能",[397,5749,5750],{},"带弯曲)",[231,5752,5753,5754,2945,5840,5871,5872],{},"Variation in ",[252,5755,5757,5782],{"className":5756},[255],[252,5758,5760],{"className":5759},[259],[261,5761,5762],{"xmlns":263},[265,5763,5764,5779],{},[268,5765,5766,5772,5774,5777],{},[271,5767,5768,5770],{},[274,5769,587],{},[274,5771,4830],{},[422,5773,989],{"stretchy":988},[274,5775,5776],{},"x",[422,5778,247],{"stretchy":988},[295,5780,5781],{"encoding":297},"E_c ( x)",[252,5783,5785],{"className":5784,"ariaHidden":303},[302],[252,5786,5788,5791,5831,5834,5837],{"className":5787},[307],[252,5789],{"className":5790,"style":1037},[311],[252,5792,5794,5797],{"className":5793},[316],[252,5795,587],{"className":5796,"style":4889},[316,320],[252,5798,5800],{"className":5799},[325],[252,5801,5803,5823],{"className":5802},[329,330],[252,5804,5806,5820],{"className":5805},[334],[252,5807,5809],{"className":5808,"style":778},[338],[252,5810,5811,5814],{"style":4928},[252,5812],{"className":5813,"style":347},[346],[252,5815,5817],{"className":5816},[351,352,353,354],[252,5818,4830],{"className":5819},[316,320,354],[252,5821,379],{"className":5822},[378],[252,5824,5826],{"className":5825},[334],[252,5827,5829],{"className":5828,"style":735},[338],[252,5830],{},[252,5832,989],{"className":5833},[1041],[252,5835,5776],{"className":5836},[316,320],[252,5838,247],{"className":5839},[1049],[252,5841,5843,5858],{"className":5842},[255],[252,5844,5846],{"className":5845},[259],[261,5847,5848],{"xmlns":263},[265,5849,5850,5855],{},[268,5851,5852],{},[422,5853,5854],{},"→",[295,5856,5857],{"encoding":297},"\\rightarrow",[252,5859,5861],{"className":5860,"ariaHidden":303},[302],[252,5862,5864,5868],{"className":5863},[307],[252,5865],{"className":5866,"style":5867},[311],"height:0.3669em;",[252,5869,5854],{"className":5870},[669]," variation in electric potential ",[5739,5873,5582],{},[2314,5875],{},[239,5877,5879,5882,5887],{"id":5878},"载流子扩散carrier-diffusion",[397,5880,5881],{},"载流子扩散(",[244,5883,5884],{},[397,5885,5886],{},"Carrier Diffusion",[397,5888,247],{},[5890,5891,5892],"h4",{"id":5892},"概念",[231,5894,5895,2945,5900,2945,5905,2945,5910,5915,2945,5920,5925],{},[244,5896,5897],{},[397,5898,5899],{},"Carriers diffuse from",[244,5901,5902],{},[397,5903,5904],{},"regions of higher concentration",[244,5906,5907],{},[397,5908,5909],{},"to",[244,5911,5912],{},[397,5913,5914],{},"regions of lower concentration region",[244,5916,5917],{},[397,5918,5919],{},", due to",[244,5921,5922],{},[397,5923,5924],{},"random thermal motion",[244,5926,5927],{},[397,5928,5929],{},".（原文出现过的）",[231,5931,5932,5933,5936,5937,5940,5941,5944,5945,5948,5949,5952],{},"在半导体材料中，载流子（即",[397,5934,5935],{},"电子","和",[397,5938,5939],{},"空穴","）由于其",[397,5942,5943],{},"随机热运动","，会自发地从",[397,5946,5947],{},"浓度高的区域","向",[397,5950,5951],{},"浓度低的区域","移动。",[231,5954,5955],{},[234,5956],{"alt":4760,"src":5957},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture4-11.png",[5890,5959,5960],{"id":5960},"公式",[231,5962,5963],{},[397,5964,5965],{},"电子扩散电流密度 (Electron diffusion current density)",[3614,5967,5968],{},[231,5969,5970,6230],{},[252,5971,5973,6027],{"className":5972},[255],[252,5974,5976],{"className":5975},[259],[261,5977,5978],{"xmlns":263},[265,5979,5980,6024],{},[268,5981,5982,6000,6002,6004,6010],{},[271,5983,5984,5986],{},[274,5985,276],{},[268,5987,5988,5990,5992,5994,5996,5998],{},[274,5989,3642],{},[422,5991,424],{"separator":303},[274,5993,281],{},[274,5995,287],{},[274,5997,290],{},[274,5999,290],{},[422,6001,551],{},[274,6003,557],{},[271,6005,6006,6008],{},[274,6007,3645],{},[274,6009,3642],{},[3251,6011,6012,6018],{},[268,6013,6014,6016],{},[274,6015,281],{},[274,6017,420],{},[268,6019,6020,6022],{},[274,6021,281],{},[274,6023,5776],{},[295,6025,6026],{"encoding":297},"J_{N,diff} = qD_N \\frac{dn}{dx}",[252,6028,6030,6103],{"className":6029,"ariaHidden":303},[302],[252,6031,6033,6036,6094,6097,6100],{"className":6032},[307],[252,6034],{"className":6035,"style":312},[311],[252,6037,6039,6042],{"className":6038},[316],[252,6040,276],{"className":6041,"style":321},[316,320],[252,6043,6045],{"className":6044},[325],[252,6046,6048,6086],{"className":6047},[329,330],[252,6049,6051,6083],{"className":6050},[334],[252,6052,6054],{"className":6053,"style":339},[338],[252,6055,6056,6059],{"style":342},[252,6057],{"className":6058,"style":347},[346],[252,6060,6062],{"className":6061},[351,352,353,354],[252,6063,6065,6068,6071,6074,6077,6080],{"className":6064},[316,354],[252,6066,3642],{"className":6067,"style":3665},[316,320,354],[252,6069,424],{"className":6070},[482,354],[252,6072,281],{"className":6073},[316,320,354],[252,6075,287],{"className":6076},[316,320,354],[252,6078,290],{"className":6079,"style":371},[316,320,354],[252,6081,290],{"className":6082,"style":371},[316,320,354],[252,6084,379],{"className":6085},[378],[252,6087,6089],{"className":6088},[334],[252,6090,6092],{"className":6091,"style":386},[338],[252,6093],{},[252,6095],{"className":6096,"style":665},[664],[252,6098,551],{"className":6099},[669],[252,6101],{"className":6102,"style":665},[664],[252,6104,6106,6110,6113,6154],{"className":6105},[307],[252,6107],{"className":6108,"style":6109},[311],"height:1.2251em;vertical-align:-0.345em;",[252,6111,557],{"className":6112,"style":686},[316,320],[252,6114,6116,6119],{"className":6115},[316],[252,6117,3645],{"className":6118,"style":364},[316,320],[252,6120,6122],{"className":6121},[325],[252,6123,6125,6146],{"className":6124},[329,330],[252,6126,6128,6143],{"className":6127},[334],[252,6129,6131],{"className":6130,"style":3678},[338],[252,6132,6134,6137],{"style":6133},"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;",[252,6135],{"className":6136,"style":347},[346],[252,6138,6140],{"className":6139},[351,352,353,354],[252,6141,3642],{"className":6142,"style":3665},[316,320,354],[252,6144,379],{"className":6145},[378],[252,6147,6149],{"className":6148},[334],[252,6150,6152],{"className":6151,"style":735},[338],[252,6153],{},[252,6155,6157,6160,6227],{"className":6156},[316],[252,6158],{"className":6159},[1041,3305],[252,6161,6163],{"className":6162},[3251],[252,6164,6166,6218],{"className":6165},[329,330],[252,6167,6169,6215],{"className":6168},[334],[252,6170,6173,6190,6198],{"className":6171,"style":6172},[338],"height:0.8801em;",[252,6174,6175,6178],{"style":3321},[252,6176],{"className":6177,"style":3325},[346],[252,6179,6181],{"className":6180},[351,352,353,354],[252,6182,6184,6187],{"className":6183},[316,354],[252,6185,281],{"className":6186},[316,320,354],[252,6188,5776],{"className":6189},[316,320,354],[252,6191,6192,6195],{"style":3389},[252,6193],{"className":6194,"style":3325},[346],[252,6196],{"className":6197,"style":3397},[3396],[252,6199,6200,6203],{"style":3400},[252,6201],{"className":6202,"style":3325},[346],[252,6204,6206],{"className":6205},[351,352,353,354],[252,6207,6209,6212],{"className":6208},[316,354],[252,6210,281],{"className":6211},[316,320,354],[252,6213,420],{"className":6214},[316,320,354],[252,6216,379],{"className":6217},[378],[252,6219,6221],{"className":6220},[334],[252,6222,6225],{"className":6223,"style":6224},[338],"height:0.345em;",[252,6226],{},[252,6228],{"className":6229},[1049,3305],"（事实上是两个符号抵消了 负电荷和负浓度梯度）",[391,6232,6233],{},[394,6234,6235,6305,6308,6309],{},[252,6236,6238,6256],{"className":6237},[255],[252,6239,6241],{"className":6240},[259],[261,6242,6243],{"xmlns":263},[265,6244,6245,6253],{},[268,6246,6247],{},[271,6248,6249,6251],{},[274,6250,3645],{},[274,6252,3642],{},[295,6254,6255],{"encoding":297},"D_N",[252,6257,6259],{"className":6258,"ariaHidden":303},[302],[252,6260,6262,6265],{"className":6261},[307],[252,6263],{"className":6264,"style":3658},[311],[252,6266,6268,6271],{"className":6267},[316],[252,6269,3645],{"className":6270,"style":364},[316,320],[252,6272,6274],{"className":6273},[325],[252,6275,6277,6297],{"className":6276},[329,330],[252,6278,6280,6294],{"className":6279},[334],[252,6281,6283],{"className":6282,"style":3678},[338],[252,6284,6285,6288],{"style":6133},[252,6286],{"className":6287,"style":347},[346],[252,6289,6291],{"className":6290},[351,352,353,354],[252,6292,3642],{"className":6293,"style":3665},[316,320,354],[252,6295,379],{"className":6296},[378],[252,6298,6300],{"className":6299},[334],[252,6301,6303],{"className":6302,"style":735},[338],[252,6304],{},[397,6306,6307],{},":"," 电子扩散常数 (Electron diffusion constant)\n",[397,6310,6311],{},"空穴扩散电流密度 (Hole diffusion current density)",[3614,6313,6314],{},[252,6315,6317],{"className":6316},[515],[252,6318,6320,6377],{"className":6319},[255],[252,6321,6323],{"className":6322},[259],[261,6324,6325],{"xmlns":263,"display":524},[265,6326,6327,6374],{},[268,6328,6329,6348,6350,6352,6354,6360],{},[271,6330,6331,6333],{},[274,6332,276],{},[268,6334,6335,6338,6340,6342,6344,6346],{},[274,6336,6337],{},"P",[422,6339,424],{"separator":303},[274,6341,281],{},[274,6343,287],{},[274,6345,290],{},[274,6347,290],{},[422,6349,551],{},[422,6351,554],{},[274,6353,557],{},[271,6355,6356,6358],{},[274,6357,3645],{},[274,6359,6337],{},[3251,6361,6362,6368],{},[268,6363,6364,6366],{},[274,6365,281],{},[274,6367,231],{},[268,6369,6370,6372],{},[274,6371,281],{},[274,6373,5776],{},[295,6375,6376],{"encoding":297},"J_{P,diff} = -qD_P \\frac{dp}{dx}",[252,6378,6380,6454],{"className":6379,"ariaHidden":303},[302],[252,6381,6383,6386,6445,6448,6451],{"className":6382},[307],[252,6384],{"className":6385,"style":312},[311],[252,6387,6389,6392],{"className":6388},[316],[252,6390,276],{"className":6391,"style":321},[316,320],[252,6393,6395],{"className":6394},[325],[252,6396,6398,6437],{"className":6397},[329,330],[252,6399,6401,6434],{"className":6400},[334],[252,6402,6404],{"className":6403,"style":339},[338],[252,6405,6406,6409],{"style":342},[252,6407],{"className":6408,"style":347},[346],[252,6410,6412],{"className":6411},[351,352,353,354],[252,6413,6415,6419,6422,6425,6428,6431],{"className":6414},[316,354],[252,6416,6337],{"className":6417,"style":6418},[316,320,354],"margin-right:0.1389em;",[252,6420,424],{"className":6421},[482,354],[252,6423,281],{"className":6424},[316,320,354],[252,6426,287],{"className":6427},[316,320,354],[252,6429,290],{"className":6430,"style":371},[316,320,354],[252,6432,290],{"className":6433,"style":371},[316,320,354],[252,6435,379],{"className":6436},[378],[252,6438,6440],{"className":6439},[334],[252,6441,6443],{"className":6442,"style":386},[338],[252,6444],{},[252,6446],{"className":6447,"style":665},[664],[252,6449,551],{"className":6450},[669],[252,6452],{"className":6453,"style":665},[664],[252,6455,6457,6461,6464,6467,6507],{"className":6456},[307],[252,6458],{"className":6459,"style":6460},[311],"height:2.0574em;vertical-align:-0.686em;",[252,6462,554],{"className":6463},[316],[252,6465,557],{"className":6466,"style":686},[316,320],[252,6468,6470,6473],{"className":6469},[316],[252,6471,3645],{"className":6472,"style":364},[316,320],[252,6474,6476],{"className":6475},[325],[252,6477,6479,6499],{"className":6478},[329,330],[252,6480,6482,6496],{"className":6481},[334],[252,6483,6485],{"className":6484,"style":3678},[338],[252,6486,6487,6490],{"style":6133},[252,6488],{"className":6489,"style":347},[346],[252,6491,6493],{"className":6492},[351,352,353,354],[252,6494,6337],{"className":6495,"style":6418},[316,320,354],[252,6497,379],{"className":6498},[378],[252,6500,6502],{"className":6501},[334],[252,6503,6505],{"className":6504,"style":735},[338],[252,6506],{},[252,6508,6510,6513,6576],{"className":6509},[316],[252,6511],{"className":6512},[1041,3305],[252,6514,6516],{"className":6515},[3251],[252,6517,6519,6567],{"className":6518},[329,330],[252,6520,6522,6564],{"className":6521},[334],[252,6523,6526,6541,6549],{"className":6524,"style":6525},[338],"height:1.3714em;",[252,6527,6529,6532],{"style":6528},"top:-2.314em;",[252,6530],{"className":6531,"style":3325},[346],[252,6533,6535,6538],{"className":6534},[316],[252,6536,281],{"className":6537},[316,320],[252,6539,5776],{"className":6540},[316,320],[252,6542,6543,6546],{"style":3389},[252,6544],{"className":6545,"style":3325},[346],[252,6547],{"className":6548,"style":3397},[3396],[252,6550,6552,6555],{"style":6551},"top:-3.677em;",[252,6553],{"className":6554,"style":3325},[346],[252,6556,6558,6561],{"className":6557},[316],[252,6559,281],{"className":6560},[316,320],[252,6562,231],{"className":6563},[316,320],[252,6565,379],{"className":6566},[378],[252,6568,6570],{"className":6569},[334],[252,6571,6574],{"className":6572,"style":6573},[338],"height:0.686em;",[252,6575],{},[252,6577],{"className":6578},[1049,3305],[391,6580,6581,6654],{},[394,6582,6583,6653],{},[252,6584,6586,6604],{"className":6585},[255],[252,6587,6589],{"className":6588},[259],[261,6590,6591],{"xmlns":263},[265,6592,6593,6601],{},[268,6594,6595],{},[271,6596,6597,6599],{},[274,6598,3645],{},[274,6600,6337],{},[295,6602,6603],{"encoding":297},"D_P",[252,6605,6607],{"className":6606,"ariaHidden":303},[302],[252,6608,6610,6613],{"className":6609},[307],[252,6611],{"className":6612,"style":3658},[311],[252,6614,6616,6619],{"className":6615},[316],[252,6617,3645],{"className":6618,"style":364},[316,320],[252,6620,6622],{"className":6621},[325],[252,6623,6625,6645],{"className":6624},[329,330],[252,6626,6628,6642],{"className":6627},[334],[252,6629,6631],{"className":6630,"style":3678},[338],[252,6632,6633,6636],{"style":6133},[252,6634],{"className":6635,"style":347},[346],[252,6637,6639],{"className":6638},[351,352,353,354],[252,6640,6337],{"className":6641,"style":6418},[316,320,354],[252,6643,379],{"className":6644},[378],[252,6646,6648],{"className":6647},[334],[252,6649,6651],{"className":6650,"style":735},[338],[252,6652],{},": 空穴扩散常数 (Hole diffusion constant)。",[394,6655,6656,6657,6687,6688,6750,6751],{},"电流方向 ",[252,6658,6660,6675],{"className":6659},[255],[252,6661,6663],{"className":6662},[259],[261,6664,6665],{"xmlns":263},[265,6666,6667,6672],{},[268,6668,6669],{},[422,6670,6671],{},"∝",[295,6673,6674],{"encoding":297},"\\propto",[252,6676,6678],{"className":6677,"ariaHidden":303},[302],[252,6679,6681,6684],{"className":6680},[307],[252,6682],{"className":6683,"style":2351},[311],[252,6685,6671],{"className":6686},[669]," 空穴流动方向 ",[252,6689,6691,6714],{"className":6690},[255],[252,6692,6694],{"className":6693},[259],[261,6695,6696],{"xmlns":263},[265,6697,6698,6711],{},[268,6699,6700,6702,6704,6706,6709],{},[422,6701,6671],{},[422,6703,554],{},[422,6705,989],{"stretchy":988},[991,6707,6708],{},"梯度方向",[422,6710,247],{"stretchy":988},[295,6712,6713],{"encoding":297},"\\propto -(\\text{梯度方向})",[252,6715,6717,6729],{"className":6716,"ariaHidden":303},[302],[252,6718,6720,6723,6726],{"className":6719},[307],[252,6721],{"className":6722,"style":2351},[311],[252,6724,6671],{"className":6725},[669],[252,6727],{"className":6728,"style":665},[664],[252,6730,6732,6735,6738,6741,6747],{"className":6731},[307],[252,6733],{"className":6734,"style":1037},[311],[252,6736,554],{"className":6737},[316],[252,6739,989],{"className":6740},[1041],[252,6742,6744],{"className":6743},[316,3061],[252,6745,6708],{"className":6746},[316,1045],[252,6748,247],{"className":6749},[1049],",所以有负号。\n",[234,6752],{"alt":6753,"src":6754},"PixPin_2025-11-12_20-39-37.png","\u002Fimg\u002FMicroelectronicDevices\u002FLecture4-21.png",[2314,6756],{},[231,6758,6759],{},[397,6760,6761],{},"ppt上的问题：D 的单位是什么？",[391,6763,6764],{},[394,6765,6766,6767,6795,6796,2945,6799,2945,6877],{},"扩散常数 ",[252,6768,6770,6783],{"className":6769},[255],[252,6771,6773],{"className":6772},[259],[261,6774,6775],{"xmlns":263},[265,6776,6777,6781],{},[268,6778,6779],{},[274,6780,3645],{},[295,6782,3645],{"encoding":297},[252,6784,6786],{"className":6785,"ariaHidden":303},[302],[252,6787,6789,6792],{"className":6788},[307],[252,6790],{"className":6791,"style":1018},[311],[252,6793,3645],{"className":6794,"style":364},[316,320]," 的",[397,6797,6798],{},"单位是",[252,6800,6802,6826],{"className":6801},[255],[252,6803,6805],{"className":6804},[259],[261,6806,6807],{"xmlns":263},[265,6808,6809,6823],{},[268,6810,6811,6818,6820],{},[2963,6812,6813,6815],{},[991,6814,2984],{},[2974,6816,6817],{},"2",[274,6819,3185],{"mathvariant":2967},[991,6821,6822],{},"s",[295,6824,6825],{"encoding":297},"\\text{cm}^2\u002F\\text{s}",[252,6827,6829],{"className":6828,"ariaHidden":303},[302],[252,6830,6832,6836,6868,6871],{"className":6831},[307],[252,6833],{"className":6834,"style":6835},[311],"height:1.0641em;vertical-align:-0.25em;",[252,6837,6839,6845],{"className":6838},[316],[252,6840,6842],{"className":6841},[316,3061],[252,6843,2984],{"className":6844},[316],[252,6846,6848],{"className":6847},[325],[252,6849,6851],{"className":6850},[329],[252,6852,6854],{"className":6853},[334],[252,6855,6857],{"className":6856,"style":3003},[338],[252,6858,6859,6862],{"style":3024},[252,6860],{"className":6861,"style":347},[346],[252,6863,6865],{"className":6864},[351,352,353,354],[252,6866,6817],{"className":6867},[316,354],[252,6869,3185],{"className":6870},[316],[252,6872,6874],{"className":6873},[316,3061],[252,6875,6822],{"className":6876},[316],[397,6878,6879],{},"(平方厘米\u002F秒)。",[2314,6881],{},[239,6883,6885],{"id":6884},"总电流total-current","总电流（Total Current）",[231,6887,6888],{},"把drift&diffusion电流加起来。",[231,6890,6891],{},"热平衡状态下总电流为零（如有内建电场，这是扩散电流和漂移电流相互抵消的结果）",[5630,6893,6894],{"style":5632},[5634,6895,6896],{},[5637,6897,5640,6898,5640,6906],{"style":5639},[5642,6899,6901,5640],{"style":6900},"width: 50.6%; text-align: center; border: none; padding: 0.3em; margin: 0;",[231,6902,6903],{},[234,6904],{"alt":4760,"src":6905},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture4-02.png",[5642,6907,6909,5640],{"style":6908},"width: 49.4%; text-align: center; border: none; padding: 0.3em; margin: 0;",[231,6910,6911],{},[234,6912],{"alt":4760,"src":6913},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture4-13.png",[239,6915,6917],{"id":6916},"内建电场-built-in-electric-field","内建电场 ｜ Built- in Electric Field",[231,6919,6920],{},"关于内建电场，e.g.非均匀掺杂半导体",[231,6922,6923],{},[234,6924],{"alt":4760,"src":6925},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture4-01.png",[231,6927,6928,6929,7000],{},"热平衡时费米能级 ",[252,6930,6932,6951],{"className":6931},[255],[252,6933,6935],{"className":6934},[259],[261,6936,6937],{"xmlns":263},[265,6938,6939,6948],{},[268,6940,6941],{},[271,6942,6943,6945],{},[274,6944,587],{},[274,6946,6947],{},"F",[295,6949,6950],{"encoding":297},"E_F",[252,6952,6954],{"className":6953,"ariaHidden":303},[302],[252,6955,6957,6960],{"className":6956},[307],[252,6958],{"className":6959,"style":3658},[311],[252,6961,6963,6966],{"className":6962},[316],[252,6964,587],{"className":6965,"style":4889},[316,320],[252,6967,6969],{"className":6968},[325],[252,6970,6972,6992],{"className":6971},[329,330],[252,6973,6975,6989],{"className":6974},[334],[252,6976,6978],{"className":6977,"style":3678},[338],[252,6979,6980,6983],{"style":4928},[252,6981],{"className":6982,"style":347},[346],[252,6984,6986],{"className":6985},[351,352,353,354],[252,6987,6947],{"className":6988,"style":6418},[316,320,354],[252,6990,379],{"className":6991},[378],[252,6993,6995],{"className":6994},[334],[252,6996,6998],{"className":6997,"style":735},[338],[252,6999],{}," 必须是常数，所以系统会自动形成内建电场",[231,7002,7003,7676],{},[252,7004,7006,7132],{"className":7005},[255],[252,7007,7009],{"className":7008},[259],[261,7010,7011],{"xmlns":263},[265,7012,7013,7129],{},[268,7014,7015,7017,7019,7021,7023,7025,7031,7071,7073,7075,7077,7079,7081,7083,7085,7091],{},[274,7016,420],{},[422,7018,989],{"stretchy":988},[274,7020,5776],{},[422,7022,247],{"stretchy":988},[422,7024,551],{},[271,7026,7027,7029],{},[274,7028,3642],{},[274,7030,4830],{},[2963,7032,7033,7035],{},[274,7034,4815],{},[268,7036,7037,7039],{},[422,7038,554],{},[3251,7040,7041,7063],{},[268,7042,7043,7049,7051,7053,7055,7057],{},[271,7044,7045,7047],{},[274,7046,587],{},[274,7048,4830],{},[422,7050,989],{"stretchy":988},[274,7052,5776],{},[422,7054,247],{"stretchy":988},[422,7056,554],{},[271,7058,7059,7061],{},[274,7060,587],{},[274,7062,6947],{},[268,7064,7065,7068],{},[274,7066,7067],{},"k",[274,7069,7070],{},"T",[422,7072,424],{"separator":303},[664,7074],{"width":4987},[274,7076,231],{},[422,7078,989],{"stretchy":988},[274,7080,5776],{},[422,7082,247],{"stretchy":988},[422,7084,551],{},[271,7086,7087,7089],{},[274,7088,3642],{},[274,7090,564],{},[2963,7092,7093,7095],{},[274,7094,4815],{},[268,7096,7097,7099],{},[422,7098,554],{},[3251,7100,7101,7123],{},[268,7102,7103,7109,7111,7117,7119,7121],{},[271,7104,7105,7107],{},[274,7106,587],{},[274,7108,6947],{},[422,7110,554],{},[271,7112,7113,7115],{},[274,7114,587],{},[274,7116,564],{},[422,7118,989],{"stretchy":988},[274,7120,5776],{},[422,7122,247],{"stretchy":988},[268,7124,7125,7127],{},[274,7126,7067],{},[274,7128,7070],{},[295,7130,7131],{"encoding":297},"n(x) = N_c e^{-\\frac{E_c(x) - E_F}{kT}}, \\quad p(x) = N_v e^{-\\frac{E_F - E_v(x)}{kT}}",[252,7133,7135,7162,7443],{"className":7134,"ariaHidden":303},[302],[252,7136,7138,7141,7144,7147,7150,7153,7156,7159],{"className":7137},[307],[252,7139],{"className":7140,"style":1037},[311],[252,7142,420],{"className":7143},[316,320],[252,7145,989],{"className":7146},[1041],[252,7148,5776],{"className":7149},[316,320],[252,7151,247],{"className":7152},[1049],[252,7154],{"className":7155,"style":665},[664],[252,7157,551],{"className":7158},[669],[252,7160],{"className":7161,"style":665},[664],[252,7163,7165,7169,7209,7412,7415,7418,7422,7425,7428,7431,7434,7437,7440],{"className":7164},[307],[252,7166],{"className":7167,"style":7168},[311],"height:1.3837em;vertical-align:-0.25em;",[252,7170,7172,7175],{"className":7171},[316],[252,7173,3642],{"className":7174,"style":3665},[316,320],[252,7176,7178],{"className":7177},[325],[252,7179,7181,7201],{"className":7180},[329,330],[252,7182,7184,7198],{"className":7183},[334],[252,7185,7187],{"className":7186,"style":778},[338],[252,7188,7189,7192],{"style":3681},[252,7190],{"className":7191,"style":347},[346],[252,7193,7195],{"className":7194},[351,352,353,354],[252,7196,4830],{"className":7197},[316,320,354],[252,7199,379],{"className":7200},[378],[252,7202,7204],{"className":7203},[334],[252,7205,7207],{"className":7206,"style":735},[338],[252,7208],{},[252,7210,7212,7215],{"className":7211},[316],[252,7213,4815],{"className":7214},[316,320],[252,7216,7218],{"className":7217},[325],[252,7219,7221],{"className":7220},[329],[252,7222,7224],{"className":7223},[334],[252,7225,7228],{"className":7226,"style":7227},[338],"height:1.1337em;",[252,7229,7231,7234],{"style":7230},"top:-3.363em;margin-right:0.05em;",[252,7232],{"className":7233,"style":3325},[346],[252,7235,7237],{"className":7236},[351,352,353,354],[252,7238,7240,7243],{"className":7239},[316,354],[252,7241,554],{"className":7242},[316,354],[252,7244,7246,7250,7409],{"className":7245},[316,354],[252,7247],{"className":7248},[1041,3305,351,3367,7249],"size6",[252,7251,7253],{"className":7252},[3251],[252,7254,7256,7400],{"className":7255},[329,330],[252,7257,7259,7397],{"className":7258},[334],[252,7260,7263,7282,7292],{"className":7261,"style":7262},[338],"height:1.101em;",[252,7264,7266,7269],{"style":7265},"top:-2.656em;",[252,7267],{"className":7268,"style":3325},[346],[252,7270,7272],{"className":7271},[351,3367,3368,354],[252,7273,7275,7279],{"className":7274},[316,354],[252,7276,7067],{"className":7277,"style":7278},[316,320,354],"margin-right:0.0315em;",[252,7280,7070],{"className":7281,"style":6418},[316,320,354],[252,7283,7285,7288],{"style":7284},"top:-3.2255em;",[252,7286],{"className":7287,"style":3325},[346],[252,7289],{"className":7290,"style":7291},[3396,354],"border-bottom-width:0.049em;",[252,7293,7295,7298],{"style":7294},"top:-3.5653em;",[252,7296],{"className":7297,"style":3325},[346],[252,7299,7301],{"className":7300},[351,3367,3368,354],[252,7302,7304,7344,7347,7350,7353,7356],{"className":7303},[316,354],[252,7305,7307,7310],{"className":7306},[316,354],[252,7308,587],{"className":7309,"style":4889},[316,320,354],[252,7311,7313],{"className":7312},[325],[252,7314,7316,7335],{"className":7315},[329,330],[252,7317,7319,7332],{"className":7318},[334],[252,7320,7323],{"className":7321,"style":7322},[338],"height:0.2306em;",[252,7324,7326,7329],{"style":7325},"top:-2.3em;margin-left:-0.0576em;margin-right:0.1em;",[252,7327],{"className":7328,"style":3363},[346],[252,7330,4830],{"className":7331},[316,320,354],[252,7333,379],{"className":7334},[378],[252,7336,7338],{"className":7337},[334],[252,7339,7342],{"className":7340,"style":7341},[338],"height:0.2em;",[252,7343],{},[252,7345,989],{"className":7346},[1041,354],[252,7348,5776],{"className":7349},[316,320,354],[252,7351,247],{"className":7352},[1049,354],[252,7354,554],{"className":7355},[1057,354],[252,7357,7359,7362],{"className":7358},[316,354],[252,7360,587],{"className":7361,"style":4889},[316,320,354],[252,7363,7365],{"className":7364},[325],[252,7366,7368,7388],{"className":7367},[329,330],[252,7369,7371,7385],{"className":7370},[334],[252,7372,7375],{"className":7373,"style":7374},[338],"height:0.3448em;",[252,7376,7378,7382],{"style":7377},"top:-2.3448em;margin-left:-0.0576em;margin-right:0.1em;",[252,7379],{"className":7380,"style":7381},[346],"height:2.6833em;",[252,7383,6947],{"className":7384,"style":6418},[316,320,354],[252,7386,379],{"className":7387},[378],[252,7389,7391],{"className":7390},[334],[252,7392,7395],{"className":7393,"style":7394},[338],"height:0.3385em;",[252,7396],{},[252,7398,379],{"className":7399},[378],[252,7401,7403],{"className":7402},[334],[252,7404,7407],{"className":7405,"style":7406},[338],"height:0.344em;",[252,7408],{},[252,7410],{"className":7411},[1049,3305,351,3367,7249],[252,7413,424],{"className":7414},[482],[252,7416],{"className":7417,"style":5134},[664],[252,7419],{"className":7420,"style":7421},[664],"margin-right:0.1667em;",[252,7423,231],{"className":7424},[316,320],[252,7426,989],{"className":7427},[1041],[252,7429,5776],{"className":7430},[316,320],[252,7432,247],{"className":7433},[1049],[252,7435],{"className":7436,"style":665},[664],[252,7438,551],{"className":7439},[669],[252,7441],{"className":7442,"style":665},[664],[252,7444,7446,7450,7490],{"className":7445},[307],[252,7447],{"className":7448,"style":7449},[311],"height:1.2837em;vertical-align:-0.15em;",[252,7451,7453,7456],{"className":7452},[316],[252,7454,3642],{"className":7455,"style":3665},[316,320],[252,7457,7459],{"className":7458},[325],[252,7460,7462,7482],{"className":7461},[329,330],[252,7463,7465,7479],{"className":7464},[334],[252,7466,7468],{"className":7467,"style":778},[338],[252,7469,7470,7473],{"style":3681},[252,7471],{"className":7472,"style":347},[346],[252,7474,7476],{"className":7475},[351,352,353,354],[252,7477,564],{"className":7478,"style":686},[316,320,354],[252,7480,379],{"className":7481},[378],[252,7483,7485],{"className":7484},[334],[252,7486,7488],{"className":7487,"style":735},[338],[252,7489],{},[252,7491,7493,7496],{"className":7492},[316],[252,7494,4815],{"className":7495},[316,320],[252,7497,7499],{"className":7498},[325],[252,7500,7502],{"className":7501},[329],[252,7503,7505],{"className":7504},[334],[252,7506,7508],{"className":7507,"style":7227},[338],[252,7509,7510,7513],{"style":7230},[252,7511],{"className":7512,"style":3325},[346],[252,7514,7516],{"className":7515},[351,352,353,354],[252,7517,7519,7522],{"className":7518},[316,354],[252,7520,554],{"className":7521},[316,354],[252,7523,7525,7528,7673],{"className":7524},[316,354],[252,7526],{"className":7527},[1041,3305,351,3367,7249],[252,7529,7531],{"className":7530},[3251],[252,7532,7534,7665],{"className":7533},[329,330],[252,7535,7537,7662],{"className":7536},[334],[252,7538,7540,7557,7565],{"className":7539,"style":7262},[338],[252,7541,7542,7545],{"style":7265},[252,7543],{"className":7544,"style":3325},[346],[252,7546,7548],{"className":7547},[351,3367,3368,354],[252,7549,7551,7554],{"className":7550},[316,354],[252,7552,7067],{"className":7553,"style":7278},[316,320,354],[252,7555,7070],{"className":7556,"style":6418},[316,320,354],[252,7558,7559,7562],{"style":7284},[252,7560],{"className":7561,"style":3325},[346],[252,7563],{"className":7564,"style":7291},[3396,354],[252,7566,7567,7570],{"style":7294},[252,7568],{"className":7569,"style":3325},[346],[252,7571,7573],{"className":7572},[351,3367,3368,354],[252,7574,7576,7613,7616,7653,7656,7659],{"className":7575},[316,354],[252,7577,7579,7582],{"className":7578},[316,354],[252,7580,587],{"className":7581,"style":4889},[316,320,354],[252,7583,7585],{"className":7584},[325],[252,7586,7588,7605],{"className":7587},[329,330],[252,7589,7591,7602],{"className":7590},[334],[252,7592,7594],{"className":7593,"style":7374},[338],[252,7595,7596,7599],{"style":7377},[252,7597],{"className":7598,"style":7381},[346],[252,7600,6947],{"className":7601,"style":6418},[316,320,354],[252,7603,379],{"className":7604},[378],[252,7606,7608],{"className":7607},[334],[252,7609,7611],{"className":7610,"style":7394},[338],[252,7612],{},[252,7614,554],{"className":7615},[1057,354],[252,7617,7619,7622],{"className":7618},[316,354],[252,7620,587],{"className":7621,"style":4889},[316,320,354],[252,7623,7625],{"className":7624},[325],[252,7626,7628,7645],{"className":7627},[329,330],[252,7629,7631,7642],{"className":7630},[334],[252,7632,7634],{"className":7633,"style":7322},[338],[252,7635,7636,7639],{"style":7325},[252,7637],{"className":7638,"style":3363},[346],[252,7640,564],{"className":7641,"style":686},[316,320,354],[252,7643,379],{"className":7644},[378],[252,7646,7648],{"className":7647},[334],[252,7649,7651],{"className":7650,"style":7341},[338],[252,7652],{},[252,7654,989],{"className":7655},[1041,354],[252,7657,5776],{"className":7658},[316,320,354],[252,7660,247],{"className":7661},[1049,354],[252,7663,379],{"className":7664},[378],[252,7666,7668],{"className":7667},[334],[252,7669,7671],{"className":7670,"style":7406},[338],[252,7672],{},[252,7674],{"className":7675},[1049,3305,351,3367,7249],"，由玻尔兹曼近似就可以算出不同位置x的电子or空穴浓度",[231,7678,7679,7680,2945,7683,2945,7752,2945,7755,7824,2945,7827,2945,7896],{},"所以",[397,7681,7682],{},"哪边",[252,7684,7686,7703],{"className":7685},[255],[252,7687,7689],{"className":7688},[259],[261,7690,7691],{"xmlns":263},[265,7692,7693,7701],{},[268,7694,7695],{},[271,7696,7697,7699],{},[274,7698,587],{},[274,7700,4830],{},[295,7702,5222],{"encoding":297},[252,7704,7706],{"className":7705,"ariaHidden":303},[302],[252,7707,7709,7712],{"className":7708},[307],[252,7710],{"className":7711,"style":3658},[311],[252,7713,7715,7718],{"className":7714},[316],[252,7716,587],{"className":7717,"style":4889},[316,320],[252,7719,7721],{"className":7720},[325],[252,7722,7724,7744],{"className":7723},[329,330],[252,7725,7727,7741],{"className":7726},[334],[252,7728,7730],{"className":7729,"style":778},[338],[252,7731,7732,7735],{"style":4928},[252,7733],{"className":7734,"style":347},[346],[252,7736,7738],{"className":7737},[351,352,353,354],[252,7739,4830],{"className":7740},[316,320,354],[252,7742,379],{"className":7743},[378],[252,7745,7747],{"className":7746},[334],[252,7748,7750],{"className":7749,"style":735},[338],[252,7751],{},[397,7753,7754],{},"更低（更靠近",[252,7756,7758,7775],{"className":7757},[255],[252,7759,7761],{"className":7760},[259],[261,7762,7763],{"xmlns":263},[265,7764,7765,7773],{},[268,7766,7767],{},[271,7768,7769,7771],{},[274,7770,587],{},[274,7772,6947],{},[295,7774,6950],{"encoding":297},[252,7776,7778],{"className":7777,"ariaHidden":303},[302],[252,7779,7781,7784],{"className":7780},[307],[252,7782],{"className":7783,"style":3658},[311],[252,7785,7787,7790],{"className":7786},[316],[252,7788,587],{"className":7789,"style":4889},[316,320],[252,7791,7793],{"className":7792},[325],[252,7794,7796,7816],{"className":7795},[329,330],[252,7797,7799,7813],{"className":7798},[334],[252,7800,7802],{"className":7801,"style":3678},[338],[252,7803,7804,7807],{"style":4928},[252,7805],{"className":7806,"style":347},[346],[252,7808,7810],{"className":7809},[351,352,353,354],[252,7811,6947],{"className":7812,"style":6418},[316,320,354],[252,7814,379],{"className":7815},[378],[252,7817,7819],{"className":7818},[334],[252,7820,7822],{"className":7821,"style":735},[338],[252,7823],{},[397,7825,7826],{},"）哪边就更 n 型；哪边",[252,7828,7830,7847],{"className":7829},[255],[252,7831,7833],{"className":7832},[259],[261,7834,7835],{"xmlns":263},[265,7836,7837,7845],{},[268,7838,7839],{},[271,7840,7841,7843],{},[274,7842,587],{},[274,7844,564],{},[295,7846,5496],{"encoding":297},[252,7848,7850],{"className":7849,"ariaHidden":303},[302],[252,7851,7853,7856],{"className":7852},[307],[252,7854],{"className":7855,"style":3658},[311],[252,7857,7859,7862],{"className":7858},[316],[252,7860,587],{"className":7861,"style":4889},[316,320],[252,7863,7865],{"className":7864},[325],[252,7866,7868,7888],{"className":7867},[329,330],[252,7869,7871,7885],{"className":7870},[334],[252,7872,7874],{"className":7873,"style":778},[338],[252,7875,7876,7879],{"style":4928},[252,7877],{"className":7878,"style":347},[346],[252,7880,7882],{"className":7881},[351,352,353,354],[252,7883,564],{"className":7884,"style":686},[316,320,354],[252,7886,379],{"className":7887},[378],[252,7889,7891],{"className":7890},[334],[252,7892,7894],{"className":7893,"style":735},[338],[252,7895],{},[397,7897,7898],{},"更高哪边就更 p 型",[231,7900,7901],{},[234,7902],{"alt":7903,"src":7904},"PixPin_2025-11-12_20-55-49.png","\u002Fimg\u002FMicroelectronicDevices\u002FLecture4-05.png",[231,7906,7907],{},"推导内建电场：",[231,7909,7910,7911],{},"玻尔兹曼关系：",[252,7912,7914,7980],{"className":7913},[255],[252,7915,7917],{"className":7916},[259],[261,7918,7919],{"xmlns":263},[265,7920,7921,7977],{},[268,7922,7923,7925,7927,7929,7931,7933,7939],{},[274,7924,420],{},[422,7926,989],{"stretchy":988},[274,7928,5776],{},[422,7930,247],{"stretchy":988},[422,7932,551],{},[271,7934,7935,7937],{},[274,7936,3642],{},[274,7938,4830],{},[2963,7940,7941,7943],{},[274,7942,4815],{},[268,7944,7945,7947],{},[422,7946,554],{},[3251,7948,7949,7971],{},[268,7950,7951,7957,7959,7961,7963,7965],{},[271,7952,7953,7955],{},[274,7954,587],{},[274,7956,4830],{},[422,7958,989],{"stretchy":988},[274,7960,5776],{},[422,7962,247],{"stretchy":988},[422,7964,554],{},[271,7966,7967,7969],{},[274,7968,587],{},[274,7970,6947],{},[268,7972,7973,7975],{},[274,7974,7067],{},[274,7976,7070],{},[295,7978,7979],{"encoding":297},"n(x) = N_c e^{-\\frac{E_c(x) - E_F}{kT}}",[252,7981,7983,8010],{"className":7982,"ariaHidden":303},[302],[252,7984,7986,7989,7992,7995,7998,8001,8004,8007],{"className":7985},[307],[252,7987],{"className":7988,"style":1037},[311],[252,7990,420],{"className":7991},[316,320],[252,7993,989],{"className":7994},[1041],[252,7996,5776],{"className":7997},[316,320],[252,7999,247],{"className":8000},[1049],[252,8002],{"className":8003,"style":665},[664],[252,8005,551],{"className":8006},[669],[252,8008],{"className":8009,"style":665},[664],[252,8011,8013,8016,8056],{"className":8012},[307],[252,8014],{"className":8015,"style":7449},[311],[252,8017,8019,8022],{"className":8018},[316],[252,8020,3642],{"className":8021,"style":3665},[316,320],[252,8023,8025],{"className":8024},[325],[252,8026,8028,8048],{"className":8027},[329,330],[252,8029,8031,8045],{"className":8030},[334],[252,8032,8034],{"className":8033,"style":778},[338],[252,8035,8036,8039],{"style":3681},[252,8037],{"className":8038,"style":347},[346],[252,8040,8042],{"className":8041},[351,352,353,354],[252,8043,4830],{"className":8044},[316,320,354],[252,8046,379],{"className":8047},[378],[252,8049,8051],{"className":8050},[334],[252,8052,8054],{"className":8053,"style":735},[338],[252,8055],{},[252,8057,8059,8062],{"className":8058},[316],[252,8060,4815],{"className":8061},[316,320],[252,8063,8065],{"className":8064},[325],[252,8066,8068],{"className":8067},[329],[252,8069,8071],{"className":8070},[334],[252,8072,8074],{"className":8073,"style":7227},[338],[252,8075,8076,8079],{"style":7230},[252,8077],{"className":8078,"style":3325},[346],[252,8080,8082],{"className":8081},[351,352,353,354],[252,8083,8085,8088],{"className":8084},[316,354],[252,8086,554],{"className":8087},[316,354],[252,8089,8091,8094,8239],{"className":8090},[316,354],[252,8092],{"className":8093},[1041,3305,351,3367,7249],[252,8095,8097],{"className":8096},[3251],[252,8098,8100,8231],{"className":8099},[329,330],[252,8101,8103,8228],{"className":8102},[334],[252,8104,8106,8123,8131],{"className":8105,"style":7262},[338],[252,8107,8108,8111],{"style":7265},[252,8109],{"className":8110,"style":3325},[346],[252,8112,8114],{"className":8113},[351,3367,3368,354],[252,8115,8117,8120],{"className":8116},[316,354],[252,8118,7067],{"className":8119,"style":7278},[316,320,354],[252,8121,7070],{"className":8122,"style":6418},[316,320,354],[252,8124,8125,8128],{"style":7284},[252,8126],{"className":8127,"style":3325},[346],[252,8129],{"className":8130,"style":7291},[3396,354],[252,8132,8133,8136],{"style":7294},[252,8134],{"className":8135,"style":3325},[346],[252,8137,8139],{"className":8138},[351,3367,3368,354],[252,8140,8142,8179,8182,8185,8188,8191],{"className":8141},[316,354],[252,8143,8145,8148],{"className":8144},[316,354],[252,8146,587],{"className":8147,"style":4889},[316,320,354],[252,8149,8151],{"className":8150},[325],[252,8152,8154,8171],{"className":8153},[329,330],[252,8155,8157,8168],{"className":8156},[334],[252,8158,8160],{"className":8159,"style":7322},[338],[252,8161,8162,8165],{"style":7325},[252,8163],{"className":8164,"style":3363},[346],[252,8166,4830],{"className":8167},[316,320,354],[252,8169,379],{"className":8170},[378],[252,8172,8174],{"className":8173},[334],[252,8175,8177],{"className":8176,"style":7341},[338],[252,8178],{},[252,8180,989],{"className":8181},[1041,354],[252,8183,5776],{"className":8184},[316,320,354],[252,8186,247],{"className":8187},[1049,354],[252,8189,554],{"className":8190},[1057,354],[252,8192,8194,8197],{"className":8193},[316,354],[252,8195,587],{"className":8196,"style":4889},[316,320,354],[252,8198,8200],{"className":8199},[325],[252,8201,8203,8220],{"className":8202},[329,330],[252,8204,8206,8217],{"className":8205},[334],[252,8207,8209],{"className":8208,"style":7374},[338],[252,8210,8211,8214],{"style":7377},[252,8212],{"className":8213,"style":7381},[346],[252,8215,6947],{"className":8216,"style":6418},[316,320,354],[252,8218,379],{"className":8219},[378],[252,8221,8223],{"className":8222},[334],[252,8224,8226],{"className":8225,"style":7394},[338],[252,8227],{},[252,8229,379],{"className":8230},[378],[252,8232,8234],{"className":8233},[334],[252,8235,8237],{"className":8236,"style":7406},[338],[252,8238],{},[252,8240],{"className":8241},[1049,3305,351,3367,7249],[231,8243,8244,8245,8314],{},"在热平衡 ",[252,8246,8248,8265],{"className":8247},[255],[252,8249,8251],{"className":8250},[259],[261,8252,8253],{"xmlns":263},[265,8254,8255,8263],{},[268,8256,8257],{},[271,8258,8259,8261],{},[274,8260,587],{},[274,8262,6947],{},[295,8264,6950],{"encoding":297},[252,8266,8268],{"className":8267,"ariaHidden":303},[302],[252,8269,8271,8274],{"className":8270},[307],[252,8272],{"className":8273,"style":3658},[311],[252,8275,8277,8280],{"className":8276},[316],[252,8278,587],{"className":8279,"style":4889},[316,320],[252,8281,8283],{"className":8282},[325],[252,8284,8286,8306],{"className":8285},[329,330],[252,8287,8289,8303],{"className":8288},[334],[252,8290,8292],{"className":8291,"style":3678},[338],[252,8293,8294,8297],{"style":4928},[252,8295],{"className":8296,"style":347},[346],[252,8298,8300],{"className":8299},[351,352,353,354],[252,8301,6947],{"className":8302,"style":6418},[316,320,354],[252,8304,379],{"className":8305},[378],[252,8307,8309],{"className":8308},[334],[252,8310,8312],{"className":8311,"style":735},[338],[252,8313],{}," 为常数",[231,8316,8317,8318,8346,8347,8416,8417],{},"对 ",[252,8319,8321,8334],{"className":8320},[255],[252,8322,8324],{"className":8323},[259],[261,8325,8326],{"xmlns":263},[265,8327,8328,8332],{},[268,8329,8330],{},[274,8331,5776],{},[295,8333,5776],{"encoding":297},[252,8335,8337],{"className":8336,"ariaHidden":303},[302],[252,8338,8340,8343],{"className":8339},[307],[252,8341],{"className":8342,"style":2351},[311],[252,8344,5776],{"className":8345},[316,320]," 求导 (只剩 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在变)",[252,8418,8420,8546],{"className":8419},[255],[252,8421,8423],{"className":8422},[259],[261,8424,8425],{"xmlns":263},[265,8426,8427,8543],{},[268,8428,8429,8443,8445,8447,8461,8493,8511,8513,8515,8525],{},[3251,8430,8431,8437],{},[268,8432,8433,8435],{},[274,8434,281],{},[274,8436,420],{},[268,8438,8439,8441],{},[274,8440,281],{},[274,8442,5776],{},[422,8444,551],{},[422,8446,554],{},[3251,8448,8449,8455],{},[271,8450,8451,8453],{},[274,8452,3642],{},[274,8454,4830],{},[268,8456,8457,8459],{},[274,8458,7067],{},[274,8460,7070],{},[2963,8462,8463,8465],{},[274,8464,4815],{},[268,8466,8467,8469],{},[422,8468,554],{},[3251,8470,8471,8487],{},[268,8472,8473,8479,8481],{},[271,8474,8475,8477],{},[274,8476,587],{},[274,8478,4830],{},[422,8480,554],{},[271,8482,8483,8485],{},[274,8484,587],{},[274,8486,6947],{},[268,8488,8489,8491],{},[274,8490,7067],{},[274,8492,7070],{},[3251,8494,8495,8505],{},[268,8496,8497,8499],{},[274,8498,281],{},[271,8500,8501,8503],{},[274,8502,587],{},[274,8504,4830],{},[268,8506,8507,8509],{},[274,8508,281],{},[274,8510,5776],{},[422,8512,551],{},[422,8514,554],{},[3251,8516,8517,8519],{},[274,8518,420],{},[268,8520,8521,8523],{},[274,8522,7067],{},[274,8524,7070],{},[3251,8526,8527,8537],{},[268,8528,8529,8531],{},[274,8530,281],{},[271,8532,8533,8535],{},[274,8534,587],{},[274,8536,4830],{},[268,8538,8539,8541],{},[274,8540,281],{},[274,8542,5776],{},[295,8544,8545],{"encoding":297},"\\frac{dn}{dx} = -\\frac{N_c}{kT} e^{-\\frac{E_c - E_F}{kT}}  \\frac{dE_c}{dx} = -\\frac{n}{kT} \\frac{dE_c}{dx}",[252,8547,8549,8638,9060],{"className":8548,"ariaHidden":303},[302],[252,8550,8552,8555,8629,8632,8635],{"className":8551},[307],[252,8553],{"className":8554,"style":6109},[311],[252,8556,8558,8561,8626],{"className":8557},[316],[252,8559],{"className":8560},[1041,3305],[252,8562,8564],{"className":8563},[3251],[252,8565,8567,8618],{"className":8566},[329,330],[252,8568,8570,8615],{"className":8569},[334],[252,8571,8573,8590,8598],{"className":8572,"style":6172},[338],[252,8574,8575,8578],{"style":3321},[252,8576],{"className":8577,"style":3325},[346],[252,8579,8581],{"className":8580},[351,352,353,354],[252,8582,8584,8587],{"className":8583},[316,354],[252,8585,281],{"className":8586},[316,320,354],[252,8588,5776],{"className":8589},[316,320,354],[252,8591,8592,8595],{"style":3389},[252,8593],{"className":8594,"style":3325},[346],[252,8596],{"className":8597,"style":3397},[3396],[252,8599,8600,8603],{"style":3400},[252,8601],{"className":8602,"style":3325},[346],[252,8604,8606],{"className":8605},[351,352,353,354],[252,8607,8609,8612],{"className":8608},[316,354],[252,8610,281],{"className":8611},[316,320,354],[252,8613,420],{"className":8614},[316,320,354],[252,8616,379],{"className":8617},[378],[252,8619,8621],{"className":8620},[334],[252,8622,8624],{"className":8623,"style":6224},[338],[252,8625],{},[252,8627],{"className":8628},[1049,3305],[252,8630],{"className":8631,"style":665},[664],[252,8633,551],{"className":8634},[669],[252,8636],{"className":8637,"style":665},[664],[252,8639,8641,8645,8648,8759,8938,9051,9054,9057],{"className":8640},[307],[252,8642],{"className":8643,"style":8644},[311],"height:1.4454em;vertical-align:-0.345em;",[252,8646,554],{"className":8647},[316],[252,8649,8651,8654,8756],{"className":8650},[316],[252,8652],{"className":8653},[1041,3305],[252,8655,8657],{"className":8656},[3251],[252,8658,8660,8748],{"className":8659},[329,330],[252,8661,8663,8745],{"className":8662},[334],[252,8664,8667,8684,8692],{"className":8665,"style":8666},[338],"height:0.8884em;",[252,8668,8669,8672],{"style":3321},[252,8670],{"className":8671,"style":3325},[346],[252,8673,8675],{"className":8674},[351,352,353,354],[252,8676,8678,8681],{"className":8677},[316,354],[252,8679,7067],{"className":8680,"style":7278},[316,320,354],[252,8682,7070],{"className":8683,"style":6418},[316,320,354],[252,8685,8686,8689],{"style":3389},[252,8687],{"className":8688,"style":3325},[346],[252,8690],{"className":8691,"style":3397},[3396],[252,8693,8695,8698],{"style":8694},"top:-3.4101em;",[252,8696],{"className":8697,"style":3325},[346],[252,8699,8701],{"className":8700},[351,352,353,354],[252,8702,8704],{"className":8703},[316,354],[252,8705,8707,8710],{"className":8706},[316,354],[252,8708,3642],{"className":8709,"style":3665},[316,320,354],[252,8711,8713],{"className":8712},[325],[252,8714,8716,8737],{"className":8715},[329,330],[252,8717,8719,8734],{"className":8718},[334],[252,8720,8722],{"className":8721,"style":3356},[338],[252,8723,8725,8728],{"style":8724},"top:-2.357em;margin-left:-0.109em;margin-right:0.0714em;",[252,8726],{"className":8727,"style":3363},[346],[252,8729,8731],{"className":8730},[351,3367,3368,354],[252,8732,4830],{"className":8733},[316,320,354],[252,8735,379],{"className":8736},[378],[252,8738,8740],{"className":8739},[334],[252,8741,8743],{"className":8742,"style":3384},[338],[252,8744],{},[252,8746,379],{"className":8747},[378],[252,8749,8751],{"className":8750},[334],[252,8752,8754],{"className":8753,"style":6224},[338],[252,8755],{},[252,8757],{"className":8758},[1049,3305],[252,8760,8762,8765],{"className":8761},[316],[252,8763,4815],{"className":8764},[316,320],[252,8766,8768],{"className":8767},[325],[252,8769,8771],{"className":8770},[329],[252,8772,8774],{"className":8773},[334],[252,8775,8778],{"className":8776,"style":8777},[338],"height:1.1004em;",[252,8779,8780,8783],{"style":7230},[252,8781],{"className":8782,"style":3325},[346],[252,8784,8786],{"className":8785},[351,352,353,354],[252,8787,8789,8792],{"className":8788},[316,354],[252,8790,554],{"className":8791},[316,354],[252,8793,8795,8798,8935],{"className":8794},[316,354],[252,8796],{"className":8797},[1041,3305,351,3367,7249],[252,8799,8801],{"className":8800},[3251],[252,8802,8804,8927],{"className":8803},[329,330],[252,8805,8807,8924],{"className":8806},[334],[252,8808,8811,8828,8836],{"className":8809,"style":8810},[338],"height:1.0534em;",[252,8812,8813,8816],{"style":7265},[252,8814],{"className":8815,"style":3325},[346],[252,8817,8819],{"className":8818},[351,3367,3368,354],[252,8820,8822,8825],{"className":8821},[316,354],[252,8823,7067],{"className":8824,"style":7278},[316,320,354],[252,8826,7070],{"className":8827,"style":6418},[316,320,354],[252,8829,8830,8833],{"style":7284},[252,8831],{"className":8832,"style":3325},[346],[252,8834],{"className":8835,"style":7291},[3396,354],[252,8837,8838,8841],{"style":7294},[252,8839],{"className":8840,"style":3325},[346],[252,8842,8844],{"className":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me":9150},[3251],[252,9152,9154,9242],{"className":9153},[329,330],[252,9155,9157,9239],{"className":9156},[334],[252,9158,9160,9177,9185],{"className":9159,"style":8956},[338],[252,9161,9162,9165],{"style":3321},[252,9163],{"className":9164,"style":3325},[346],[252,9166,9168],{"className":9167},[351,352,353,354],[252,9169,9171,9174],{"className":9170},[316,354],[252,9172,281],{"className":9173},[316,320,354],[252,9175,5776],{"className":9176},[316,320,354],[252,9178,9179,9182],{"style":3389},[252,9180],{"className":9181,"style":3325},[346],[252,9183],{"className":9184,"style":3397},[3396],[252,9186,9187,9190],{"style":8694},[252,9188],{"className":9189,"style":3325},[346],[252,9191,9193],{"className":9192},[351,352,353,354],[252,9194,9196,9199],{"className":9195},[316,354],[252,9197,281],{"className":9198},[316,320,354],[252,9200,9202,9205],{"className":9201},[316,354],[252,9203,587],{"className":9204,"style":4889},[316,320,354],[252,9206,9208],{"className":9207},[325],[252,9209,9211,9231],{"className":9210},[329,330],[252,9212,9214,9228],{"className":9213},[334],[252,9215,9217],{"className":9216,"style":3356},[338],[252,9218,9219,9222],{"style":9016},[252,9220],{"className":9221,"style":3363},[346],[252,9223,9225],{"className":9224},[351,3367,3368,354],[252,9226,4830],{"className":9227},[316,320,354],[252,9229,379],{"className":9230},[378],[252,9232,9234],{"className":9233},[334],[252,9235,9237],{"className":9236,"style":3384},[338],[252,9238],{},[252,9240,379],{"className":9241},[378],[252,9243,9245],{"className":9244},[334],[252,9246,9248],{"className":9247,"style":6224},[338],[252,9249],{},[252,9251],{"className":9252},[1049,3305],[231,9254,9255,9256],{},"把能带斜率换成电场 ",[252,9257,9259,9335],{"className":9258},[255],[252,9260,9262],{"className":9261},[259],[261,9263,9264],{"xmlns":263},[265,9265,9266,9332],{},[268,9267,9268,9274,9276,9278,9280,9282,9284,9286,9289,9291,9293,9295,9297,9300,9303,9306,9308,9326,9328,9330],{},[271,9269,9270,9272],{},[274,9271,587],{},[274,9273,4830],{},[422,9275,989],{"stretchy":988},[274,9277,5776],{},[422,9279,247],{"stretchy":988},[422,9281,551],{},[422,9283,554],{},[274,9285,557],{},[274,9287,9288],{},"ϕ",[422,9290,989],{"stretchy":988},[274,9292,5776],{},[422,9294,247],{"stretchy":988},[422,9296,1911],{},[991,9298,9299],{},"const",[991,9301,9302],{},"  ",[422,9304,9305],{},"⟹",[991,9307,9302],{},[3251,9309,9310,9320],{},[268,9311,9312,9314],{},[274,9313,281],{},[271,9315,9316,9318],{},[274,9317,587],{},[274,9319,4830],{},[268,9321,9322,9324],{},[274,9323,281],{},[274,9325,5776],{},[422,9327,551],{},[274,9329,557],{},[274,9331,587],{},[295,9333,9334],{"encoding":297},"E_c(x) = -q\\phi(x) + \\text{const} \\implies \\frac{dE_c}{dx} = qE",[252,9336,9338,9402,9435,9463,9589],{"className":9337,"ariaHidden":303},[302],[252,9339,9341,9344,9384,9387,9390,9393,9396,9399],{"className":9340},[307],[252,9342],{"className":9343,"style":1037},[311],[252,9345,9347,9350],{"className":9346},[316],[252,9348,587],{"className":9349,"style":4889},[316,320],[252,9351,9353],{"className":9352},[325],[252,9354,9356,9376],{"className":9355},[329,330],[252,9357,9359,9373],{"className":9358},[334],[252,9360,9362],{"className":9361,"style":778},[338],[252,9363,9364,9367],{"style":4928},[252,9365],{"className":9366,"style":347},[346],[252,9368,9370],{"className":9369},[351,352,353,354],[252,9371,4830],{"className":9372},[316,320,354],[252,9374,379],{"className":9375},[378],[252,9377,9379],{"className":9378},[334],[252,9380,9382],{"className":9381,"style":735},[338],[252,9383],{},[252,9385,989],{"className":9386},[1041],[252,9388,5776],{"className":9389},[316,320],[252,9391,247],{"className":9392},[1049],[252,9394],{"className":9395,"style":665},[664],[252,9397,551],{"className":9398},[669],[252,9400],{"className":9401,"style":665},[664],[252,9403,9405,9408,9411,9414,9417,9420,9423,9426,9429,9432],{"className":9404},[307],[252,9406],{"className":9407,"style":1037},[311],[252,9409,554],{"className":9410},[316],[252,9412,557],{"className":9413,"style":686},[316,320],[252,9415,9288],{"className":9416},[316,320],[252,9418,989],{"className":9419},[1041],[252,9421,5776],{"className":9422},[316,320],[252,9424,247],{"className":9425},[1049],[252,9427],{"className":9428,"style":1053},[664],[252,9430,1911],{"className":9431},[1057],[252,9433],{"className":9434,"style":1053},[664],[252,9436,9438,9442,9448,9451,9454,9457,9460],{"className":9437},[307],[252,9439],{"className":9440,"style":9441},[311],"height:0.6391em;vertical-align:-0.024em;",[252,9443,9445],{"className":9444},[316,3061],[252,9446,9299],{"className":9447},[316],[252,9449],{"className":9450,"style":665},[664],[252,9452],{"className":9453,"style":665},[664],[252,9455,9305],{"className":9456},[669],[252,9458],{"className":9459,"style":665},[664],[252,9461],{"className":9462,"style":665},[664],[252,9464,9466,9469,9580,9583,9586],{"className":9465},[307],[252,9467],{"className":9468,"style":9066},[311],[252,9470,9472,9475,9577],{"className":9471},[316],[252,9473],{"className":9474},[1041,3305],[252,9476,9478],{"className":9477},[3251],[252,9479,9481,9569],{"className":9480},[329,330],[252,9482,9484,9566],{"className":9483},[334],[252,9485,9487,9504,9512],{"className":9486,"style":8956},[338],[252,9488,9489,9492],{"style":3321},[252,9490],{"className":9491,"style":3325},[346],[252,9493,9495],{"className":9494},[351,352,353,354],[252,9496,9498,9501],{"className":9497},[316,354],[252,9499,281],{"className":9500},[316,320,354],[252,9502,5776],{"className":9503},[316,320,354],[252,9505,9506,9509],{"style":3389},[252,9507],{"className":9508,"style":3325},[346],[252,9510],{"className":9511,"style":3397},[3396],[252,9513,9514,9517],{"style":8694},[252,9515],{"className":9516,"style":3325},[346],[252,9518,9520],{"className":9519},[351,352,353,354],[252,9521,9523,9526],{"className":9522},[316,354],[252,9524,281],{"className":9525},[316,320,354],[252,9527,9529,9532],{"className":9528},[316,354],[252,9530,587],{"className":9531,"style":4889},[316,320,354],[252,9533,9535],{"className":9534},[325],[252,9536,9538,9558],{"className":9537},[329,330],[252,9539,9541,9555],{"className":9540},[334],[252,9542,9544],{"className":9543,"style":3356},[338],[252,9545,9546,9549],{"style":9016},[252,9547],{"className":9548,"style":3363},[346],[252,9550,9552],{"className":9551},[351,3367,3368,354],[252,9553,4830],{"className":9554},[316,320,354],[252,9556,379],{"className":9557},[378],[252,9559,9561],{"className":9560},[334],[252,9562,9564],{"className":9563,"style":3384},[338],[252,9565],{},[252,9567,379],{"className":9568},[378],[252,9570,9572],{"className":9571},[334],[252,9573,9575],{"className":9574,"style":6224},[338],[252,9576],{},[252,9578],{"className":9579},[1049,3305],[252,9581],{"className":9582,"style":665},[664],[252,9584,551],{"className":9585},[669],[252,9587],{"className":9588,"style":665},[664],[252,9590,9592,9595,9598],{"className":9591},[307],[252,9593],{"className":9594,"style":753},[311],[252,9596,557],{"className":9597,"style":686},[316,320],[252,9599,587],{"className":9600,"style":4889},[316,320],[231,9602,9603,9604],{},"于是",[252,9605,9607,9694],{"className":9606},[255],[252,9608,9610],{"className":9609},[259],[261,9611,9612],{"xmlns":263},[265,9613,9614,9691],{},[268,9615,9616,9630,9632,9634,9644,9646,9648,9650,9653,9655,9657,9659,9661,9671,9677],{},[3251,9617,9618,9624],{},[268,9619,9620,9622],{},[274,9621,281],{},[274,9623,420],{},[268,9625,9626,9628],{},[274,9627,281],{},[274,9629,5776],{},[422,9631,551],{},[422,9633,554],{},[3251,9635,9636,9638],{},[274,9637,420],{},[268,9639,9640,9642],{},[274,9641,7067],{},[274,9643,7070],{},[274,9645,557],{},[274,9647,587],{},[991,9649,9302],{},[422,9651,9652],{},"⟺",[991,9654,9302],{},[274,9656,587],{},[422,9658,551],{},[422,9660,554],{},[3251,9662,9663,9669],{},[268,9664,9665,9667],{},[274,9666,7067],{},[274,9668,7070],{},[274,9670,557],{},[3251,9672,9673,9675],{},[2974,9674,2976],{},[274,9676,420],{},[3251,9678,9679,9685],{},[268,9680,9681,9683],{},[274,9682,281],{},[274,9684,420],{},[268,9686,9687,9689],{},[274,9688,281],{},[274,9690,5776],{},[295,9692,9693],{"encoding":297},"\\frac{dn}{dx} = -\\frac{n}{kT} qE \\iff E = -\\frac{kT}{q} \\frac{1}{n} \\frac{dn}{dx}",[252,9695,9697,9786,9888,9906],{"className":9696,"ariaHidden":303},[302],[252,9698,9700,9703,9777,9780,9783],{"className":9699},[307],[252,9701],{"className":9702,"style":6109},[311],[252,9704,9706,9709,9774],{"className":9705},[316],[252,9707],{"className":9708},[1041,3305],[252,9710,9712],{"className":9711},[3251],[252,9713,9715,9766],{"className":9714},[329,330],[252,9716,9718,9763],{"className":9717},[334],[252,9719,9721,9738,9746],{"className":9720,"style":6172},[338],[252,9722,9723,9726],{"style":3321},[252,9724],{"className":9725,"style":3325},[346],[252,9727,9729],{"className":9728},[351,352,353,354],[252,9730,9732,9735],{"className":9731},[316,354],[252,9733,281],{"className":9734},[316,320,354],[252,9736,5776],{"className":9737},[316,320,354],[252,9739,9740,9743],{"style":3389},[252,9741],{"className":9742,"style":3325},[346],[252,9744],{"className":9745,"style":3397},[3396],[252,9747,9748,9751],{"style":3400},[252,9749],{"className":9750,"style":3325},[346],[252,9752,9754],{"className":9753},[351,352,353,354],[252,9755,9757,9760],{"className":9756},[316,354],[252,9758,281],{"className":9759},[316,320,354],[252,9761,420],{"className":9762},[316,320,354],[252,9764,379],{"className":9765},[378],[252,9767,9769],{"className":9768},[334],[252,9770,9772],{"className":9771,"style":6224},[338],[252,9773],{},[252,9775],{"className":9776},[1049,3305],[252,9778],{"className":9779,"style":665},[664],[252,9781,551],{"className":9782},[669],[252,9784],{"className":9785,"style":665},[664],[252,9787,9789,9793,9796,9867,9870,9873,9876,9879,9882,9885],{"className":9788},[307],[252,9790],{"className":9791,"style":9792},[311],"height:1.0404em;vertical-align:-0.345em;",[252,9794,554],{"className":9795},[316],[252,9797,9799,9802,9864],{"className":9798},[316],[252,9800],{"className":9801},[1041,3305],[252,9803,9805],{"className":9804},[3251],[252,9806,9808,9856],{"className":9807},[329,330],[252,9809,9811,9853],{"className":9810},[334],[252,9812,9814,9831,9839],{"className":9813,"style":9088},[338],[252,9815,9816,9819],{"style":3321},[252,9817],{"className":9818,"style":3325},[346],[252,9820,9822],{"className":9821},[351,352,353,354],[252,9823,9825,9828],{"className":9824},[316,354],[252,9826,7067],{"className":9827,"style":7278},[316,320,354],[252,9829,7070],{"className":9830,"style":6418},[316,320,354],[252,9832,9833,9836],{"style":3389},[252,9834],{"className":9835,"style":3325},[346],[252,9837],{"className":9838,"style":3397},[3396],[252,9840,9841,9844],{"style":3400},[252,9842],{"className":9843,"style":3325},[346],[252,9845,9847],{"className":9846},[351,352,353,354],[252,9848,9850],{"className":9849},[316,354],[252,9851,420],{"className":9852},[316,320,354],[252,9854,379],{"className":9855},[378],[252,9857,9859],{"className":9858},[334],[252,9860,9862],{"className":9861,"style":6224},[338],[252,9863],{},[252,9865],{"className":9866},[1049,3305],[252,9868,557],{"className":9869,"style":686},[316,320],[252,9871,587],{"className":9872,"style":4889},[316,320],[252,9874],{"className":9875,"style":665},[664],[252,9877],{"className":9878,"style":665},[664],[252,9880,9652],{"className":9881},[669],[252,9883],{"className":9884,"style":665},[664],[252,9886],{"className":9887,"style":665},[664],[252,9889,9891,9894,9897,9900,9903],{"className":9890},[307],[252,9892],{"className":9893,"style":1018},[311],[252,9895,587],{"className":9896,"style":4889},[316,320],[252,9898],{"className":9899,"style":665},[664],[252,9901,551],{"className":9902},[669],[252,9904],{"className":9905,"style":665},[664],[252,9907,9909,9913,9916,9987,10055],{"className":9908},[307],[252,9910],{"className":9911,"style":9912},[311],"height:1.3612em;vertical-align:-0.4811em;",[252,9914,554],{"className":9915},[316],[252,9917,9919,9922,9984],{"className":9918},[316],[252,9920],{"className":9921},[1041,3305],[252,9923,9925],{"className":9924},[3251],[252,9926,9928,9976],{"className":9927},[329,330],[252,9929,9931,9973],{"className":9930},[334],[252,9932,9934,9948,9956],{"className":9933,"style":6172},[338],[252,9935,9936,9939],{"style":3321},[252,9937],{"className":9938,"style":3325},[346],[252,9940,9942],{"className":9941},[351,352,353,354],[252,9943,9945],{"className":9944},[316,354],[252,9946,557],{"className":9947,"style":686},[316,320,354],[252,9949,9950,9953],{"style":3389},[252,9951],{"className":9952,"style":3325},[346],[252,9954],{"className":9955,"style":3397},[3396],[252,9957,9958,9961],{"style":3400},[252,9959],{"className":9960,"style":3325},[346],[252,9962,9964],{"className":9963},[351,352,353,354],[252,9965,9967,9970],{"className":9966},[316,354],[252,9968,7067],{"className":9969,"style":7278},[316,320,354],[252,9971,7070],{"className":9972,"style":6418},[316,320,354],[252,9974,379],{"className":9975},[378],[252,9977,9979],{"className":9978},[334],[252,9980,9982],{"className":9981,"style":3422},[338],[252,9983],{},[252,9985],{"className":9986},[1049,3305],[252,9988,9990,9993,10052],{"className":9989},[316],[252,9991],{"className":9992},[1041,3305],[252,9994,9996],{"className":9995},[3251],[252,9997,9999,10044],{"className":9998},[329,330],[252,10000,10002,10041],{"className":10001},[334],[252,10003,10005,10019,10027],{"className":10004,"style":3318},[338],[252,10006,10007,10010],{"style":3321},[252,10008],{"className":10009,"style":3325},[346],[252,10011,10013],{"className":10012},[351,352,353,354],[252,10014,10016],{"className":10015},[316,354],[252,10017,420],{"className":10018},[316,320,354],[252,10020,10021,10024],{"style":3389},[252,10022],{"className":10023,"style":3325},[346],[252,10025],{"className":10026,"style":3397},[3396],[252,10028,10029,10032],{"style":3400},[252,10030],{"className":10031,"style":3325},[346],[252,10033,10035],{"className":10034},[351,352,353,354],[252,10036,10038],{"className":10037},[316,354],[252,10039,2976],{"className":10040},[316,354],[252,10042,379],{"className":10043},[378],[252,10045,10047],{"className":10046},[334],[252,10048,10050],{"className":10049,"style":6224},[338],[252,10051],{},[252,10053],{"className":10054},[1049,3305],[252,10056,10058,10061,10126],{"className":10057},[316],[252,10059],{"className":10060},[1041,3305],[252,10062,10064],{"className":10063},[3251],[252,10065,10067,10118],{"className":10066},[329,330],[252,10068,10070,10115],{"className":10069},[334],[252,10071,10073,10090,10098],{"className":10072,"style":6172},[338],[252,10074,10075,10078],{"style":3321},[252,10076],{"className":10077,"style":3325},[346],[252,10079,10081],{"className":10080},[351,352,353,354],[252,10082,10084,10087],{"className":10083},[316,354],[252,10085,281],{"className":10086},[316,320,354],[252,10088,5776],{"className":10089},[316,320,354],[252,10091,10092,10095],{"style":3389},[252,10093],{"className":10094,"style":3325},[346],[252,10096],{"className":10097,"style":3397},[3396],[252,10099,10100,10103],{"style":3400},[252,10101],{"className":10102,"style":3325},[346],[252,10104,10106],{"className":10105},[351,352,353,354],[252,10107,10109,10112],{"className":10108},[316,354],[252,10110,281],{"className":10111},[316,320,354],[252,10113,420],{"className":10114},[316,320,354],[252,10116,379],{"className":10117},[378],[252,10119,10121],{"className":10120},[334],[252,10122,10124],{"className":10123,"style":6224},[338],[252,10125],{},[252,10127],{"className":10128},[1049,3305],[2314,10130],{},[239,10132,10134,10135,10140],{"id":10133},"爱因斯坦关系einstein-relationship","爱因斯坦关系（",[244,10136,10137],{},[397,10138,10139],{},"Einstein Relationship","）",[231,10142,10143,10144],{},"爱因斯坦关系的核心是",[397,10145,10146],{},"将两种关键的载流子传输参数联系起来.",[231,10148,10149],{},[234,10150],{"alt":4760,"src":10151},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture4-19.png",[231,10153,10154,10157],{},[397,10155,10156],{},"Non-degenerate semiconductor :非简并半导体","，掺杂原子的浓度相对较低",[231,10159,10160],{},[234,10161],{"alt":10162,"src":10163},"PixPin_2025-11-12_21-04-14.png","\u002Fimg\u002FMicroelectronicDevices\u002FLecture4-20.png",[2314,10165],{},[239,10167,10169],{"id":10168},"generation-and-recombination产生-和-复合",[397,10170,10171],{},"Generation and Recombination（产生 和 复合）",[231,10173,10174,2945,10179,2945,10182,2945,10187,2945,10190,2945,10195],{},[244,10175,10176],{},[397,10177,10178],{},"Generation",[244,10180,10181],{},"and",[244,10183,10184],{},[397,10185,10186],{},"recombination",[244,10188,10189],{},"processes act to change the carrier concentrations in semiconductors, and therefore are",[244,10191,10192],{},[397,10193,10194],{},"the basic phenomena",[244,10196,10197],{},"employed in many electronic and optoelectronic device operations. （原话）",[3614,10199,10200],{},[231,10201,10202,10203,10206],{},"（载流子的）",[397,10204,10205],{},"产生 (Generation) 和复合 (Recombination)"," 过程会改变半导体中的载流子浓度，因此它们是许多电子器件和光电器件运行所依赖的基本现象",[231,10208,10209],{},"E.g.,",[5890,10211,10212],{"id":10212},"产生的过程",[231,10214,10215],{},[234,10216],{"alt":4760,"src":10217},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture4-06.png",[4785,10219,10220,10298,10393],{},[394,10221,10222,10223,10226,10227,247],{},"带隙跃迁 (Band-to-Band)\n电子",[397,10224,10225],{},"直接","吸收了足够的能量，这个能量大于或等于禁带宽度 (",[252,10228,10230,10249],{"className":10229},[255],[252,10231,10233],{"className":10232},[259],[261,10234,10235],{"xmlns":263},[265,10236,10237,10246],{},[268,10238,10239],{},[271,10240,10241,10243],{},[274,10242,587],{},[274,10244,10245],{},"g",[295,10247,10248],{"encoding":297},"E_g",[252,10250,10252],{"className":10251,"ariaHidden":303},[302],[252,10253,10255,10258],{"className":10254},[307],[252,10256],{"className":10257,"style":312},[311],[252,10259,10261,10264],{"className":10260},[316],[252,10262,587],{"className":10263,"style":4889},[316,320],[252,10265,10267],{"className":10266},[325],[252,10268,10270,10290],{"className":10269},[329,330],[252,10271,10273,10287],{"className":10272},[334],[252,10274,10276],{"className":10275,"style":778},[338],[252,10277,10278,10281],{"style":4928},[252,10279],{"className":10280,"style":347},[346],[252,10282,10284],{"className":10283},[351,352,353,354],[252,10285,10245],{"className":10286,"style":686},[316,320,354],[252,10288,379],{"className":10289},[378],[252,10291,10293],{"className":10292},[334],[252,10294,10296],{"className":10295,"style":386},[338],[252,10297],{},[394,10299,10300,10301,10371,10372,10375,10376],{},"R-G 中心 (R-G Center \u002F 产生-复合中心)\n电子不是“一步”跳过禁带，而是借助一个位于禁带中的“缺陷能级”或“陷阱能级” (",[252,10302,10304,10322],{"className":10303},[255],[252,10305,10307],{"className":10306},[259],[261,10308,10309],{"xmlns":263},[265,10310,10311,10319],{},[268,10312,10313],{},[271,10314,10315,10317],{},[274,10316,587],{},[274,10318,7070],{},[295,10320,10321],{"encoding":297},"E_T",[252,10323,10325],{"className":10324,"ariaHidden":303},[302],[252,10326,10328,10331],{"className":10327},[307],[252,10329],{"className":10330,"style":3658},[311],[252,10332,10334,10337],{"className":10333},[316],[252,10335,587],{"className":10336,"style":4889},[316,320],[252,10338,10340],{"className":10339},[325],[252,10341,10343,10363],{"className":10342},[329,330],[252,10344,10346,10360],{"className":10345},[334],[252,10347,10349],{"className":10348,"style":3678},[338],[252,10350,10351,10354],{"style":4928},[252,10352],{"className":10353,"style":347},[346],[252,10355,10357],{"className":10356},[351,352,353,354],[252,10358,7070],{"className":10359,"style":6418},[316,320,354],[252,10361,379],{"className":10362},[378],[252,10364,10366],{"className":10365},[334],[252,10367,10369],{"className":10368,"style":735},[338],[252,10370],{},") 作为跳板",[10373,10374],"br",{},"例如：",[391,10377,10378,10383,10388],{},[394,10379,10380],{},[397,10381,10382],{},"杂质原子 (Impurity atoms)",[394,10384,10385],{},[397,10386,10387],{},"晶格缺陷 (Defects)",[394,10389,10390],{},[397,10391,10392],{},"表面态 (Surface states)",[394,10394,10395,10396,10399],{},"碰撞电离 (Impact Ionization)\n在",[397,10397,10398],{},"强电场","下才会发生的链式反应",[5890,10401,10402],{"id":10402},"复合的过程",[231,10404,10405],{},[234,10406],{"alt":4760,"src":10407},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture4-10.png",[4785,10409,10410,10579,10744],{},[394,10411,10412,10415],{},[397,10413,10414],{},"直接复合 (Direct)",[391,10416,10417,10569],{},[394,10418,10419,10422,10423,10494,10495,10497,10498,10568],{},[397,10420,10421],{},"过程："," 导带 (",[252,10424,10426,10445],{"className":10425},[255],[252,10427,10429],{"className":10428},[259],[261,10430,10431],{"xmlns":263},[265,10432,10433,10442],{},[268,10434,10435],{},[271,10436,10437,10439],{},[274,10438,587],{},[274,10440,10441],{},"C",[295,10443,10444],{"encoding":297},"E_C",[252,10446,10448],{"className":10447,"ariaHidden":303},[302],[252,10449,10451,10454],{"className":10450},[307],[252,10452],{"className":10453,"style":3658},[311],[252,10455,10457,10460],{"className":10456},[316],[252,10458,587],{"className":10459,"style":4889},[316,320],[252,10461,10463],{"className":10462},[325],[252,10464,10466,10486],{"className":10465},[329,330],[252,10467,10469,10483],{"className":10468},[334],[252,10470,10472],{"className":10471,"style":3678},[338],[252,10473,10474,10477],{"style":4928},[252,10475],{"className":10476,"style":347},[346],[252,10478,10480],{"className":10479},[351,352,353,354],[252,10481,10441],{"className":10482,"style":5021},[316,320,354],[252,10484,379],{"className":10485},[378],[252,10487,10489],{"className":10488},[334],[252,10490,10492],{"className":10491,"style":735},[338],[252,10493],{},") 中的电子",[397,10496,10225],{},"落回价带 (",[252,10499,10501,10519],{"className":10500},[255],[252,10502,10504],{"className":10503},[259],[261,10505,10506],{"xmlns":263},[265,10507,10508,10516],{},[268,10509,10510],{},[271,10511,10512,10514],{},[274,10513,587],{},[274,10515,5582],{},[295,10517,10518],{"encoding":297},"E_V",[252,10520,10522],{"className":10521,"ariaHidden":303},[302],[252,10523,10525,10528],{"className":10524},[307],[252,10526],{"className":10527,"style":3658},[311],[252,10529,10531,10534],{"className":10530},[316],[252,10532,587],{"className":10533,"style":4889},[316,320],[252,10535,10537],{"className":10536},[325],[252,10538,10540,10560],{"className":10539},[329,330],[252,10541,10543,10557],{"className":10542},[334],[252,10544,10546],{"className":10545,"style":3678},[338],[252,10547,10548,10551],{"style":4928},[252,10549],{"className":10550,"style":347},[346],[252,10552,10554],{"className":10553},[351,352,353,354],[252,10555,5582],{"className":10556,"style":1053},[316,320,354],[252,10558,379],{"className":10559},[378],[252,10561,10563],{"className":10562},[334],[252,10564,10566],{"className":10565,"style":735},[338],[252,10567],{},") 与空穴结合。",[394,10570,10571,10574,10575,10578],{},[397,10572,10573],{},"结果："," 释放的能量以",[397,10576,10577],{},"光子 (Photon)"," 的形式辐射出去。这是 LED（发光二极管）和激光器的工作原理，在直接带隙半导体（如 GaAs 砷化镓）中很常见。",[394,10580,10581,10584],{},[397,10582,10583],{},"R-G 中心复合 (R-G Center)",[391,10585,10586,10735],{},[394,10587,10588,10590,10591,10594,10595,10664,10665,10734],{},[397,10589,10421],{}," 这是一种",[397,10592,10593],{},"间接","复合。电子和空穴不是直接相遇，而是通过禁带中的缺陷能级 (",[252,10596,10598,10615],{"className":10597},[255],[252,10599,10601],{"className":10600},[259],[261,10602,10603],{"xmlns":263},[265,10604,10605,10613],{},[268,10606,10607],{},[271,10608,10609,10611],{},[274,10610,587],{},[274,10612,7070],{},[295,10614,10321],{"encoding":297},[252,10616,10618],{"className":10617,"ariaHidden":303},[302],[252,10619,10621,10624],{"className":10620},[307],[252,10622],{"className":10623,"style":3658},[311],[252,10625,10627,10630],{"className":10626},[316],[252,10628,587],{"className":10629,"style":4889},[316,320],[252,10631,10633],{"className":10632},[325],[252,10634,10636,10656],{"className":10635},[329,330],[252,10637,10639,10653],{"className":10638},[334],[252,10640,10642],{"className":10641,"style":3678},[338],[252,10643,10644,10647],{"style":4928},[252,10645],{"className":10646,"style":347},[346],[252,10648,10650],{"className":10649},[351,352,353,354],[252,10651,7070],{"className":10652,"style":6418},[316,320,354],[252,10654,379],{"className":10655},[378],[252,10657,10659],{"className":10658},[334],[252,10660,10662],{"className":10661,"style":735},[338],[252,10663],{},") 作为“中介”来完成复合。电子先被 ",[252,10666,10668,10685],{"className":10667},[255],[252,10669,10671],{"className":10670},[259],[261,10672,10673],{"xmlns":263},[265,10674,10675,10683],{},[268,10676,10677],{},[271,10678,10679,10681],{},[274,10680,587],{},[274,10682,7070],{},[295,10684,10321],{"encoding":297},[252,10686,10688],{"className":10687,"ariaHidden":303},[302],[252,10689,10691,10694],{"className":10690},[307],[252,10692],{"className":10693,"style":3658},[311],[252,10695,10697,10700],{"className":10696},[316],[252,10698,587],{"className":10699,"style":4889},[316,320],[252,10701,10703],{"className":10702},[325],[252,10704,10706,10726],{"className":10705},[329,330],[252,10707,10709,10723],{"className":10708},[334],[252,10710,10712],{"className":10711,"style":3678},[338],[252,10713,10714,10717],{"style":4928},[252,10715],{"className":10716,"style":347},[346],[252,10718,10720],{"className":10719},[351,352,353,354],[252,10721,7070],{"className":10722,"style":6418},[316,320,354],[252,10724,379],{"className":10725},[378],[252,10727,10729],{"className":10728},[334],[252,10730,10732],{"className":10731,"style":735},[338],[252,10733],{},"捕获，然后空穴再过来结合。",[394,10736,10737,10739,10740,10743],{},[397,10738,10573],{}," 能量通常以",[397,10741,10742],{},"热能","（晶格振动）的形式释放掉。",[394,10745,10746,10749],{},[397,10747,10748],{},"俄歇复合 (Auger)",[391,10750,10751,10768],{},[394,10752,10753,10755,10756,10759,10760,10763,10764,10767],{},[397,10754,10421],{}," 这是一种涉及",[397,10757,10758],{},"三个载流子","的复合。一个电子与一个空穴复合，但释放的能量",[397,10761,10762],{},"没有","变成光或热，而是被",[397,10765,10766],{},"第三个载流子","（图中的是另一个导带电子）吸收。",[394,10769,10770,10772,10773,10776],{},[397,10771,10573],{}," 这个获得能量的电子被“踢”到导带中更高的能级，然后它会通过散射（如图中阶梯所示）释放热量，再次回到导带底。这种机制在",[397,10774,10775],{},"载流子浓度非常高","（例如重度掺杂）时才比较显著。",[3614,10778,10779],{},[231,10780,10781],{},"这部分了解即可",[2314,10783],{},[239,10785,10787,10788,2945,10793,2945,10800,10140],{"id":10786},"直接带隙和间接带隙direct-vs-indirect-band-gap-materials","直接带隙和间接带隙（",[244,10789,10790],{},[397,10791,10792],{},"Direct",[244,10794,10795],{},[397,10796,10797],{},[5739,10798,10799],{},"vs.",[244,10801,10802],{},[397,10803,10804],{},"Indirect Band Gap Materials",[231,10806,10807],{},[234,10808],{"alt":4760,"src":10809},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture4-08.png",[5890,10811,10813],{"id":10812},"直接带隙","直接带隙：",[3614,10815,10816],{},[231,10817,10818],{},"III V Group elements",[231,10820,10821,2945,10826],{},[244,10822,10823],{},[397,10824,10825],{},"Little change in momentum  is required for recombination-> momentum is conserved by photon emission(原文)",[244,10827,10828],{},[397,10829,10830],{},"Material：GaAs",[231,10832,10833,10834,10862],{},"复合（过程）只需要很小的动量改变",[252,10835,10837,10850],{"className":10836},[255],[252,10838,10840],{"className":10839},[259],[261,10841,10842],{"xmlns":263},[265,10843,10844,10848],{},[268,10845,10846],{},[422,10847,5854],{},[295,10849,5857],{"encoding":297},[252,10851,10853],{"className":10852,"ariaHidden":303},[302],[252,10854,10856,10859],{"className":10855},[307],[252,10857],{"className":10858,"style":5867},[311],[252,10860,5854],{"className":10861},[669],"动量通过发射光子得以守恒",[5890,10864,10866],{"id":10865},"间接带隙","间接带隙：",[3614,10868,10869],{},[231,10870,10871],{},"Silicon、锗等",[231,10873,10874,10879],{},[244,10875,10876],{},[397,10877,10878],{},"Large change in momentum is required for recombination ->momentum is conserved by phonon + photon emission（原文）",[244,10880,10881],{},[397,10882,10883],{},"Material：Si",[231,10885,10886,10887,10915],{},"复合（过程）需要很大的动量改变",[252,10888,10890,10903],{"className":10889},[255],[252,10891,10893],{"className":10892},[259],[261,10894,10895],{"xmlns":263},[265,10896,10897,10901],{},[268,10898,10899],{},[422,10900,5854],{},[295,10902,5857],{"encoding":297},[252,10904,10906],{"className":10905,"ariaHidden":303},[302],[252,10907,10909,10912],{"className":10908},[307],[252,10910],{"className":10911,"style":5867},[311],[252,10913,5854],{"className":10914},[669]," 动量通过声子和光子的发射得以守恒",[2314,10917],{},[239,10919,10921],{"id":10920},"过剩载流子浓度excessive-carrier-concentrations",[397,10922,10923],{},"过剩载流子浓度（Excessive Carrier Concentrations）",[231,10925,10926,10927,10930],{},"它指的是",[397,10928,10929],{},"超出","半导体在“正常”热平衡状态下所拥有的、“多出来”的那部分载流子（电子和空穴）。",[231,10932,10933,10968,2945,10970,2945,11004],{},[252,10934,10936,10953],{"className":10935},[255],[252,10937,10939],{"className":10938},[259],[261,10940,10941],{"xmlns":263},[265,10942,10943,10950],{},[268,10944,10945,10948],{},[274,10946,10947],{"mathvariant":2967},"Δ",[274,10949,420],{},[295,10951,10952],{"encoding":297},"\\Delta n",[252,10954,10956],{"className":10955,"ariaHidden":303},[302],[252,10957,10959,10962,10965],{"className":10958},[307],[252,10960],{"className":10961,"style":1018},[311],[252,10963,10947],{"className":10964},[316],[252,10966,420],{"className":10967},[316,320],[397,10969,5936],{},[252,10971,10973,10989],{"className":10972},[255],[252,10974,10976],{"className":10975},[259],[261,10977,10978],{"xmlns":263},[265,10979,10980,10986],{},[268,10981,10982,10984],{},[274,10983,10947],{"mathvariant":2967},[274,10985,231],{},[295,10987,10988],{"encoding":297},"\\Delta p",[252,10990,10992],{"className":10991,"ariaHidden":303},[302],[252,10993,10995,10998,11001],{"className":10994},[307],[252,10996],{"className":10997,"style":753},[311],[252,10999,10947],{"className":11000},[316],[252,11002,231],{"className":11003},[316,320],[397,11005,11006],{},"的定义",[3614,11008,11009,11135,11257],{},[252,11010,11012],{"className":11011},[515],[252,11013,11015,11045],{"className":11014},[255],[252,11016,11018],{"className":11017},[259],[261,11019,11020],{"xmlns":263,"display":524},[265,11021,11022,11042],{},[268,11023,11024,11026,11028,11031,11033,11035],{},[274,11025,10947],{"mathvariant":2967},[274,11027,420],{},[422,11029,11030],{},"≡",[274,11032,420],{},[422,11034,554],{},[271,11036,11037,11039],{},[274,11038,420],{},[2974,11040,11041],{},"0",[295,11043,11044],{"encoding":297},"\\Delta n \\equiv n - n_0",[252,11046,11048,11069,11088],{"className":11047,"ariaHidden":303},[302],[252,11049,11051,11054,11057,11060,11063,11066],{"className":11050},[307],[252,11052],{"className":11053,"style":1018},[311],[252,11055,10947],{"className":11056},[316],[252,11058,420],{"className":11059},[316,320],[252,11061],{"className":11062,"style":665},[664],[252,11064,11030],{"className":11065},[669],[252,11067],{"className":11068,"style":665},[664],[252,11070,11072,11076,11079,11082,11085],{"className":11071},[307],[252,11073],{"className":11074,"style":11075},[311],"height:0.6667em;vertical-align:-0.0833em;",[252,11077,420],{"className":11078},[316,320],[252,11080],{"className":11081,"style":1053},[664],[252,11083,554],{"className":11084},[1057],[252,11086],{"className":11087,"style":1053},[664],[252,11089,11091,11094],{"className":11090},[307],[252,11092],{"className":11093,"style":856},[311],[252,11095,11097,11100],{"className":11096},[316],[252,11098,420],{"className":11099},[316,320],[252,11101,11103],{"className":11102},[325],[252,11104,11106,11127],{"className":11105},[329,330],[252,11107,11109,11124],{"className":11108},[334],[252,11110,11113],{"className":11111,"style":11112},[338],"height:0.3011em;",[252,11114,11115,11118],{"style":781},[252,11116],{"className":11117,"style":347},[346],[252,11119,11121],{"className":11120},[351,352,353,354],[252,11122,11041],{"className":11123},[316,354],[252,11125,379],{"className":11126},[378],[252,11128,11130],{"className":11129},[334],[252,11131,11133],{"className":11132,"style":735},[338],[252,11134],{},[252,11136,11138],{"className":11137},[515],[252,11139,11141,11169],{"className":11140},[255],[252,11142,11144],{"className":11143},[259],[261,11145,11146],{"xmlns":263,"display":524},[265,11147,11148,11166],{},[268,11149,11150,11152,11154,11156,11158,11160],{},[274,11151,10947],{"mathvariant":2967},[274,11153,231],{},[422,11155,11030],{},[274,11157,231],{},[422,11159,554],{},[271,11161,11162,11164],{},[274,11163,231],{},[2974,11165,11041],{},[295,11167,11168],{"encoding":297},"\\Delta p \\equiv p - p_0",[252,11170,11172,11193,11211],{"className":11171,"ariaHidden":303},[302],[252,11173,11175,11178,11181,11184,11187,11190],{"className":11174},[307],[252,11176],{"className":11177,"style":753},[311],[252,11179,10947],{"className":11180},[316],[252,11182,231],{"className":11183},[316,320],[252,11185],{"className":11186,"style":665},[664],[252,11188,11030],{"className":11189},[669],[252,11191],{"className":11192,"style":665},[664],[252,11194,11196,11199,11202,11205,11208],{"className":11195},[307],[252,11197],{"className":11198,"style":679},[311],[252,11200,231],{"className":11201},[316,320],[252,11203],{"className":11204,"style":1053},[664],[252,11206,554],{"className":11207},[1057],[252,11209],{"className":11210,"style":1053},[664],[252,11212,11214,11217],{"className":11213},[307],[252,11215],{"className":11216,"style":2386},[311],[252,11218,11220,11223],{"className":11219},[316],[252,11221,231],{"className":11222},[316,320],[252,11224,11226],{"className":11225},[325],[252,11227,11229,11249],{"className":11228},[329,330],[252,11230,11232,11246],{"className":11231},[334],[252,11233,11235],{"className":11234,"style":11112},[338],[252,11236,11237,11240],{"style":781},[252,11238],{"className":11239,"style":347},[346],[252,11241,11243],{"className":11242},[351,352,353,354],[252,11244,11041],{"className":11245},[316,354],[252,11247,379],{"className":11248},[378],[252,11250,11252],{"className":11251},[334],[252,11253,11255],{"className":11254,"style":735},[338],[252,11256],{},[231,11258,11259,11260],{},"Charge neutrality condition: ",[252,11261,11263,11285],{"className":11262},[255],[252,11264,11266],{"className":11265},[259],[261,11267,11268],{"xmlns":263},[265,11269,11270,11282],{},[268,11271,11272,11274,11276,11278,11280],{},[274,11273,10947],{"mathvariant":2967},[274,11275,420],{},[422,11277,551],{},[274,11279,10947],{"mathvariant":2967},[274,11281,231],{},[295,11283,11284],{"encoding":297},"\\Delta n = \\Delta p",[252,11286,11288,11309],{"className":11287,"ariaHidden":303},[302],[252,11289,11291,11294,11297,11300,11303,11306],{"className":11290},[307],[252,11292],{"className":11293,"style":1018},[311],[252,11295,10947],{"className":11296},[316],[252,11298,420],{"className":11299},[316,320],[252,11301],{"className":11302,"style":665},[664],[252,11304,551],{"className":11305},[669],[252,11307],{"className":11308,"style":665},[664],[252,11310,11312,11315,11318],{"className":11311},[307],[252,11313],{"className":11314,"style":753},[311],[252,11316,10947],{"className":11317},[316],[252,11319,231],{"className":11320},[316,320],[391,11322,11323,11474],{},[394,11324,11325,2945,11395,2945,11397,11467,11469,11470,11473],{},[252,11326,11328,11346],{"className":11327},[255],[252,11329,11331],{"className":11330},[259],[261,11332,11333],{"xmlns":263},[265,11334,11335,11343],{},[268,11336,11337],{},[271,11338,11339,11341],{},[274,11340,420],{},[2974,11342,11041],{},[295,11344,11345],{"encoding":297},"n_0",[252,11347,11349],{"className":11348,"ariaHidden":303},[302],[252,11350,11352,11355],{"className":11351},[307],[252,11353],{"className":11354,"style":856},[311],[252,11356,11358,11361],{"className":11357},[316],[252,11359,420],{"className":11360},[316,320],[252,11362,11364],{"className":11363},[325],[252,11365,11367,11387],{"className":11366},[329,330],[252,11368,11370,11384],{"className":11369},[334],[252,11371,11373],{"className":11372,"style":11112},[338],[252,11374,11375,11378],{"style":781},[252,11376],{"className":11377,"style":347},[346],[252,11379,11381],{"className":11380},[351,352,353,354],[252,11382,11041],{"className":11383},[316,354],[252,11385,379],{"className":11386},[378],[252,11388,11390],{"className":11389},[334],[252,11391,11393],{"className":11392,"style":735},[338],[252,11394],{},[397,11396,5936],{},[252,11398,11400,11418],{"className":11399},[255],[252,11401,11403],{"className":11402},[259],[261,11404,11405],{"xmlns":263},[265,11406,11407,11415],{},[268,11408,11409],{},[271,11410,11411,11413],{},[274,11412,231],{},[2974,11414,11041],{},[295,11416,11417],{"encoding":297},"p_0",[252,11419,11421],{"className":11420,"ariaHidden":303},[302],[252,11422,11424,11427],{"className":11423},[307],[252,11425],{"className":11426,"style":2386},[311],[252,11428,11430,11433],{"className":11429},[316],[252,11431,231],{"className":11432},[316,320],[252,11434,11436],{"className":11435},[325],[252,11437,11439,11459],{"className":11438},[329,330],[252,11440,11442,11456],{"className":11441},[334],[252,11443,11445],{"className":11444,"style":11112},[338],[252,11446,11447,11450],{"style":781},[252,11448],{"className":11449,"style":347},[346],[252,11451,11453],{"className":11452},[351,352,353,354],[252,11454,11041],{"className":11455},[316,354],[252,11457,379],{"className":11458},[378],[252,11460,11462],{"className":11461},[334],[252,11463,11465],{"className":11464,"style":735},[338],[252,11466],{},[397,11468,3787],{}," 是指",[397,11471,11472],{},"热平衡","时的浓度。",[394,11475,11476,2945,11504,2945,11506,11534,11469,11536,11539],{},[252,11477,11479,11492],{"className":11478},[255],[252,11480,11482],{"className":11481},[259],[261,11483,11484],{"xmlns":263},[265,11485,11486,11490],{},[268,11487,11488],{},[274,11489,420],{},[295,11491,420],{"encoding":297},[252,11493,11495],{"className":11494,"ariaHidden":303},[302],[252,11496,11498,11501],{"className":11497},[307],[252,11499],{"className":11500,"style":2351},[311],[252,11502,420],{"className":11503},[316,320],[397,11505,5936],{},[252,11507,11509,11522],{"className":11508},[255],[252,11510,11512],{"className":11511},[259],[261,11513,11514],{"xmlns":263},[265,11515,11516,11520],{},[268,11517,11518],{},[274,11519,231],{},[295,11521,231],{"encoding":297},[252,11523,11525],{"className":11524,"ariaHidden":303},[302],[252,11526,11528,11531],{"className":11527},[307],[252,11529],{"className":11530,"style":2386},[311],[252,11532,231],{"className":11533},[316,320],[397,11535,3787],{},[397,11537,11538],{},"现在","的总浓度。",[2314,11541],{},[239,11543,11545,11548],{"id":11544},"low-level-injection-低水平注入",[397,11546,11547],{},"Low-Level Injection"," (低水平注入)",[231,11550,11551,11552,11555,11556,11559],{},"外部注入的载流子数量",[397,11553,11554],{},"远小于","多子浓度，但",[397,11557,11558],{},"可以远大于","少子浓度。",[231,11561,11562,11565,11566,2515],{},[397,11563,11564],{},"结果是："," 多子的总数基本不变，而",[397,11567,11568],{},"少子的总数可以发生翻天覆地的巨大增长",[231,11570,11571],{},[234,11572],{"alt":4760,"src":11573},"\u002Fimg\u002FMicroelectronicDevices\u002FLecture4-16.png",[231,11575,11576,11577,11580],{},"The disturbance from equilibrium is small, such that the ",[397,11578,11579],{},"minority carrier"," concentration is not affected significantly.",{"title":11582,"searchDepth":11583,"depth":11583,"links":11584},"",4,[11585,11588,11590,11591,11596,11597,11598,11600,11604,11609,11610],{"id":241,"depth":11586,"text":11587},3,"1. 漂移电流密度 (Drift Current Density)",{"id":2318,"depth":11586,"text":11589},"2. 电导率和电阻率 (Conductivity, σ\\sigmaσ) (Resistivity, ρ\\rhoρ)",{"id":4782,"depth":11586,"text":4783},{"id":5878,"depth":11586,"text":11592,"children":11593},"载流子扩散(Carrier Diffusion)",[11594,11595],{"id":5892,"depth":11583,"text":5892},{"id":5960,"depth":11583,"text":5960},{"id":6884,"depth":11586,"text":6885},{"id":6916,"depth":11586,"text":6917},{"id":10133,"depth":11586,"text":11599},"爱因斯坦关系（Einstein Relationship）",{"id":10168,"depth":11586,"text":10171,"children":11601},[11602,11603],{"id":10212,"depth":11583,"text":10212},{"id":10402,"depth":11583,"text":10402},{"id":10786,"depth":11586,"text":11605,"children":11606},"直接带隙和间接带隙（Direct vs. Indirect Band Gap Materials）",[11607,11608],{"id":10812,"depth":11583,"text":10813},{"id":10865,"depth":11583,"text":10866},{"id":10920,"depth":11586,"text":10923},{"id":11544,"depth":11586,"text":11611},"Low-Level Injection (低水平注入)",[189],"漂移电流密度、电导率与电阻率、静电势与电场、扩散电流、爱因斯坦关系、总电流方程、产生与复合、直接\u002F间接带隙、过剩载流子浓度与低水平注入","md",null,{"slots":11617},{},{"text":11619,"minutes":11620,"time":11621,"words":11622},"10 min read",9.225,553500,1845,{"title":136,"description":11613},{"loc":135,"images":11625},[11626,11627,11628,11629,11630,11631,11632,11633,11634,11635,11636,11637,11638,11639,11640,11641,11642,11643,11644,11645,11646],{"loc":237},{"loc":3612},{"loc":4761},{"loc":4773},{"loc":4779},{"loc":4792},{"loc":5554},{"loc":5650},{"loc":5659},{"loc":5957},{"loc":6754},{"loc":6905},{"loc":6913},{"loc":6925},{"loc":7904},{"loc":10151},{"loc":10163},{"loc":10217},{"loc":10407},{"loc":10809},{"loc":11573},[176,11648],"课程笔记","tech","RTE1v5321pt6_DoGTUP9NNSrnsuweboqTME76P49zws",[11652,11653],{"title":131,"path":130,"stem":129,"date":132,"type":11649,"children":-1},{"title":141,"path":140,"stem":139,"date":142,"type":11649,"children":-1},1789011906588]