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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
  • 32
    Citations
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    Usage
  • 13
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Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    32
    • Citation Indexes
      32
  • Captures
    13

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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