Fermi Dirac Integrals

Synopsys: Fermi_Integrals(j,x)

The following command computes the Fermi Dirac Integrals:

The input parameters are the following:

  • j (double): the order of the Fermi Integrals
  • x (double): the argument of the Fermi Integrals

Acknowledgments Thanks to Michele Goano for having provided the FORTRAN subroutine sub_fermi.f

[1] M. Goano, “Series expansion of the Fermi-Dirac integral F_j(x)
over the entire domain of real j and x”, Solid-State
Electronics, vol. 36, no. 2, pp. 217-221, 1993.

[2] J. S. Blakemore, “Approximation for Fermi-Dirac integrals,
especially the function F_1/2(eta) used to describe electron
density in a semiconductor”, Solid-State Electronics, vol. 25,
no. 11, pp. 1067-1076, 1982.

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