Nanoelectronics

377

Appendix G: Table of Fermi–Dirac

Integrals

378 Appendix G

η F

−3/2

F

−1

F

−1/2

F

0

F

1/2

F

1

F

3/2

F

2

F

5/2

F

3

F

7/2

F

4

η

−4.0 1.78 (−2) 1.799 (−2) 1.808 (−2) 1.815 (−2) 1.8199 (−2) 1.8232 (−2) 1.8256 (−2) 1.8274 (−2) 1.8287 (−2) 1.8295 (−2) 1.8301 (−2) 1.8305 (−2)

−4.0

−3.9 1.96 (−2) 1.984 (−2) 1.995 (−2) 2.003 (−2) 2.0099 (−2) 2.0140 (−2) 2.0170 (−2) 2.0191 (−2) 2.0206 (−2) 2.0216 (−2) 2.0224 (−2) 2.0229 (−2)

−3.9

−3.8 2.17 (−2) 2.188 (−2) 2.203 (−2) 2.213 (−2) 2.2195 (−2) 2.2247 (−2) 2.2283 (−2) 2.2309 (−2) 2.2327 (−2) 2.2340 (−2) 2.2349 (−2) 2.2355 (−2)

−3.8

−3.7 2.38 (−2) 2.413 (−2) 2.429 (−2) 2.442 (−2) 2.4510 (−2) 2.4572 (−2) 2.4617 (−2) 2.4648 (−2) 2.4670 (−2) 2.4686 (−2) 2.4697 (−2) 2.4705 (−2)

−3.7

−3.6 2.63 (−2) 2.660 (−2) 2.681 (−2) 2.6% (−2) 2.7063 (−2) 2.7139 (−2) 2.7193 (−2) 2.7231 (−2) 2.7259 (−2) 2.7277 (−2) 2.7291 (−2) 2.7301 (−2)

−3.6

−3.5 2.89 (−2) 2.931 (−2) 2.956 (−2) 2.975 (−2) 2.9880 (−2) 2.9972 (−2) 3.0037 (−2) 3.0084 (−2) 3.0118 (−2) 3.0141 (−2) 3.0158 (−2) 3.0169 (−2)

−3.5

−3.4 3.18 (−2) 3.230 (−2) 3.260 (−2) 3.283 (−2) 3.2986 (−2) 3.3099 (−2) 3.3179 (−2) 3.3235 (−2) 3.3276 (−2) 3.3304 (−2) 3.3325 (−2) 3.3339 (−2)

−3.4

−3.3 3.50 (−2) 3.557 (−2) 3.595 (−2) 3.625 (−2) 3.6412 (−2) 3.6549 (−2) 3.6645 (−2) 3.6715 (−2) 3.6764 (−2) 3.6799 (−2) 3.6824 (−2) 3.6841 (−2)

−3.3

−3.2 3.85 (−2) 3.917 (−2) 3.962 (−2) 3.995 (−2) 4.0187 (−2) 4.0354 (−2) 4.0473 (−2) 4.0557 (−2) 4.0617 (−2) 4.0659 (−2) 4.0690 (−2) 4.0711 (−2)

−3.2

−3.1 4.23 (−2) 4.311 (−2) 4.367 (−2) 4.407 (−2) 4.4349 (−2) 4.4552 (−2)

4.4696 (−2) 4.4800 (−2) 4.4872 (−2) 4.4924 (−2) 4.4961 (−2) 4.4986 (−2)

−3.1

−3.0 4.65 (−2) 4.743 (−2) 4.810 (−2) 4.858 (−2) 4.8933 (−2) 4.9181 (−2) 4.9356 (−2) 4.9482 (−2) 4.9571 (−2) 4.9634 (−2) 4.9679 (−2) 4.9710 (−2)

−3.0

−2.9 5.10 (−2) 5.215 (−2) 5.298 (−2) 5.356 (−2) 5.3984 (−2) 5.4284 (−2) 5.4498 (−2) 5.4651 (−2) 5.4759 (−2) 5.4836 (−2) 5.4891 (−2) 5.4929 (−2)

−2.9

−2.8 5.60 (−2) 5.732 (−2) 5.831 (−2) 5.904 (−2) 5.9545 (−2) 5.9910 (−2) 6.0170 (−2) 6.0356 (−2) 6.0488 (−2) 6.0582 (−2) 6.0649 (−2) 6.0695 (−2)

−2.8

−2.7 6.13 (−2) 6.297 (−2) 6.417 (−2) 6.504 (−2) 6.5665 (−2) 6.6109 (−2) 6.6425 (−2) 6.6652 (−2) 6.6813 (−2) 6.6927 (−2) 6.7009 (−2) 6.7066 (−2)

−2.7

−2.6 6.71 (−2) 6.914 (−2) 7.059 (−2) 7.164 (−2) 7.2398 (−2) 7.2938 (−2) 7.3323 (−2) 7.3599 (−2) 7.3795 (−2) 7.3934 (−2) 7.4033 (−2) 7.4103 (−2)

−2.6

−2.5 7.35 (−2) 7.586 (−2) 7.762 (−2) 7.889 (−2) 7.9804 (−2) 8.0459 (−2) 8.0927 (−2) 8.1263 (−2) 8.1501 (−2) 8.1671 (−2) 8.1791 (−2) 8.1877 (−2)

−2.5

−2.4 8.02 (−2) 8.317 (−2) 8.529 (−2) 8.684 (−2) 8.7944 (−2) 8.8740 (−2) 8.9309 (−2) 8.9716 (−2) 9.0006 (−2) 9.0213 (−2) 9.0360 (−2) 9.0464 (−2)’

−2.4

–2.3 8.76 (–2) 9.112 (–2) 9.369 (1) 9.555 (–2) 9.6887 (–2) 9.7852 (–2)

9.8544 (–2) 9.9038 (–2) 9.9391 (–2) 9.9643 (–2) 9.9822 (–2) 9.9949 (–2) –2.3

−2.2 9.55 (−2) 9.975 (−2) 1.0284 (−1) 1.051 (−1) 1.0671 (−1) 1.0788 (−1) 1.0872 (−1) 1.0932 (−1) 1.0975 (−1) 1.1005 (−1) 1.1027 (−1) 1.1042 (−1)

−2.2

−2.1 1.040 (−1) 1.091 (−1) 1.1280 (−1) 1.155 (−1) 1.1748 (−1) 1.1890 (−1) 1.1992 (−1) 1.2065 (−1) 1.2117 (−1) 1.2154 (−1) 1.2181 (−1) 1.2200 (−1)

−2.1

−2.0 1.132 (−1) 1.192 (−1) 1.2366 (−1) 1.269 (−1) 1.2930 (−

1) 1.3101 (−1) 1.3225 (−1) 1.3313 (−1) 1.3377 (−1) 1.3422 (−1) 1.3454 (−1) 1.3477 (−1)

−2.0

−1.9 1.229 (−1) 1.301 (−1) 1.3546 (−1) 1.394 (−1) 1.4225 (−1) 1.4432 (−1) 1.4581 (−1) 1.4689 (−1) 1.4766 (−1) 1.4821 (−1) 1.4860 (−1) 1.4888 (−1)

−1.9

−1.8 1.331 (−1) 1.419 (−1) 1.4826 (−1) 1.530 (−1) 1.5642 (−1) 1.5893 (−1) 1.6074 (−1) 1.6204 (−1) 1.6297 (−1) 1.6364 (−1) 1.6412 (−1) 1.6446 (−1)

−1.8

−1.7 1.442 (−1) 1.545 (−1) 1.6213 (−1) 1.678 (−1) 1.7193 (−1) 1.7496 (−1) 1.7714 (−1) 1.7872 (−1) 1.7986 (−1) 1.8067 (−1) 1.8125 (−1) 1.8166 (−1)

−1.7

−1.6 1.558 (−1) 1.680 (−1) 1.7712 (−1) 1.839 (−1) 1.8889 (−1) 1.9253 (−1) 1.9517 (−1) 1.9708 (−1) 1.9846 (−1) 1.9944 (−1) 2.0015 (−1) 2.0066 (−1)

−1.6

−1.5 1.680 (−1) 1.824 (−1) 1.9330 (−1) 2.014 (−1) 2.0740 (−1) 2.1178 (−1) 2.1497 (−1) 2.1728 (−1) 2.1895 (−1) 2.2015 (−1) 2.2099 (−1) 2.2162 (−1)

−1.5