A generalized approximation of the Fermi-Dirac integrals

X. Aymerich-Humet; F. Serra-Mestres; J. Millán

doi:https://doi.org/10.1063/1.332276

A generalized approximation of the Fermi-Dirac integrals

X. Aymerich-Humet, F. Serra-Mestres, J. Millán

Department of Physics

Research output: Contribution to journal › Article › Research › peer-review

76 Citations (Scopus)

Abstract

An analytical approximation for the Fermi-Dirac integral F j(η) for real j is proposed. This approximation works for -∞< η < ∞, with an error of 1.2% for -1/2< j < 1/2 and 0.7% for 1/2 < j < 5/2. The error increases with j for higher j values.

Original language	English
Pages (from-to)	2850-2851
Journal	Journal of Applied Physics
Volume	54
DOIs	https://doi.org/10.1063/1.332276
Publication status	Published - 1 Dec 1983

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title = "A generalized approximation of the Fermi-Dirac integrals",

abstract = "An analytical approximation for the Fermi-Dirac integral F j(η) for real j is proposed. This approximation works for -∞< η < ∞, with an error of 1.2% for -1/2< j < 1/2 and 0.7% for 1/2 < j < 5/2. The error increases with j for higher j values.",

author = "X. Aymerich-Humet and F. Serra-Mestres and J. Mill{\'a}n",

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AU - Serra-Mestres, F.

AU - Millán, J.

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N2 - An analytical approximation for the Fermi-Dirac integral F j(η) for real j is proposed. This approximation works for -∞< η < ∞, with an error of 1.2% for -1/2< j < 1/2 and 0.7% for 1/2 < j < 5/2. The error increases with j for higher j values.

AB - An analytical approximation for the Fermi-Dirac integral F j(η) for real j is proposed. This approximation works for -∞< η < ∞, with an error of 1.2% for -1/2< j < 1/2 and 0.7% for 1/2 < j < 5/2. The error increases with j for higher j values.

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