Full range analytic approximations for Fermi energy and Fermi-Dirac integral F in terms of F
Journal of Applied Physics, ISSN: 0021-8979, Vol: 65, Issue: 5, Page: 2162-2164
1989
- 32Citations
- 13Captures
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Article Description
New full range analytic approximation formulas for efficient calculation of the reduced Fermi energy η and the Fermi-Dirac integral F in terms of u=F, which is simply related to the free-carrier concentration and temperature, are presented. The maximum fractional error is 0.033% for η and 0.05% for F, while the maximum absolute error for η is 0.000 41. These formulas facilitate analyses of carrier transport and device characteristics in structures involving smaller band-gap semiconductors.
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