A generalized approximation of the Fermi-Dirac integrals

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

doi:10.1063/1.332276

A generalized approximation of the Fermi-Dirac integrals

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

Departament de Física

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Resum

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.

Idioma original	Anglès
Pàgines (de-a)	2850-2851
Revista	Journal of Applied Physics
Volum	54
DOIs	https://doi.org/10.1063/1.332276
Estat de la publicació	Publicada - 1 de des. 1983

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10.1063/1.332276

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@article{c5c67aaec2464d5cb70f008ad5a60e74,

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",

year = "1983",

month = dec,

day = "1",

doi = "10.1063/1.332276",

language = "English",

volume = "54",

pages = "2850--2851",

journal = "Journal of Applied Physics",

issn = "0021-8979",

publisher = "American Institute of Physics",

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TY - JOUR

T1 - A generalized approximation of the Fermi-Dirac integrals

AU - Aymerich-Humet, X.

AU - Serra-Mestres, F.

AU - Millán, J.

PY - 1983/12/1

Y1 - 1983/12/1

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.

U2 - 10.1063/1.332276

DO - 10.1063/1.332276

M3 - Article

SN - 0021-8979

VL - 54

SP - 2850

EP - 2851

JO - Journal of Applied Physics

JF - Journal of Applied Physics

ER -

A generalized approximation of the Fermi-Dirac integrals

Resum

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