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Area Semiconductor devices and integrated circuits / Introduction to atomic physics

IEV ref521-01-19

en
Fermi-Dirac-Sommerfeld velocity distribution law
algebraic equation giving the number dN of particles of a quantized system in equilibrium, the velocity components of which are included in the intervals (u, u + du), (v, v + dv), (w, w + dw) :
respectively:

dN=2N m 3 h 3 duvdw 1+exp ( E E M kT ) MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaiaabsgacaaMc8UaamOtaiabg2da9iaaikdacaWGobGaeyyXIC9aaSaaaeaacaWGTbWaaWbaaSqabeaacaaIZaaaaaGcbaGaamiAamaaCaaaleqabaGaaG4maaaaaaGccqGHflY1daWcaaqaaiaabsgacaaMc8UaamyDaiabgwSixlaabsgacaqGGaGaamODaiabgwSixlaabsgacaaMc8Uaam4DaaqaaiaaigdacqGHRaWkcaqGLbGaaeiEaiaabchadaqadaqaamaalaaabaGaamyraiabgkHiTiaadweadaWgaaWcbaGaaeytaaqabaaakeaacaWGRbGaamivaaaaaiaawIcacaGLPaaaaaaaaa@5CF1@

where
N is the total number of particles
m is the mass of the particle
T is the thermodynamic temperature
k is the Boltzmann constant
h is the Planck constant
E is the kinetic energy of a particle,

E= m 2 ( u 2 + v 2 + w 2 ) MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaiaadweacqGH9aqpdaWcaaqaaiaad2gaaeaacaaIYaaaamaabmaabaGaamyDamaaCaaaleqabaGaaGOmaaaakiabgUcaRiaadAhadaahaaWcbeqaaiaaikdaaaGccqGHRaWkcaWG3bWaaWbaaSqabeaacaaIYaaaaaGccaGLOaGaayzkaaaaaa@41F2@

EM is the inner work function
dN/N represents the probability that a particle has its components within the intervals considered.


fr
loi de distribution des vitesses de Fermi-Dirac-Sommerfeld, f
relation algébrique donnant le nombre de particules dN d'un système quantifié en équilibre, dont les composantes de vitesse sont comprises dans des intervalles (u, u + du), (v, v + dv), (w, w + dw):

dN=2N m 3 h 3 dud vdw 1+exp ( E E M kT ) MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaiaabsgacaaMc8UaamOtaiabg2da9iaaikdacaWGobGaeyyXIC9aaSaaaeaacaWGTbWaaWbaaSqabeaacaaIZaaaaaGcbaGaamiAamaaCaaaleqabaGaaG4maaaaaaGccqGHflY1daWcaaqaaiaabsgacaaMc8UaamyDaiabgwSixlaabsgacaqGGaGaamODaiabgwSixlaabsgacaaMc8Uaam4DaaqaaiaaigdacqGHRaWkcaqGLbGaaeiEaiaabchadaqadaqaamaalaaabaGaamyraiabgkHiTiaadweadaWgaaWcbaGaaeytaaqabaaakeaacaWGRbGaamivaaaaaiaawIcacaGLPaaaaaaaaa@5CF1@


N désigne le nombre total de particules
m la masse d'une particule
T la température thermodynamique
k la constante de Boltzmann
h la constante de Planck
E l'énergie cinétique d'une particule,

E= m 2 ( u 2 + v 2 + w 2 ) MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaiaadweacqGH9aqpdaWcaaqaaiaad2gaaeaacaaIYaaaamaabmaabaGaamyDamaaCaaaleqabaGaaGOmaaaakiabgUcaRiaadAhadaahaaWcbeqaaiaaikdaaaGccqGHRaWkcaWG3bWaaWbaaSqabeaacaaIYaaaaaGccaGLOaGaayzkaaaaaa@41F2@

EM la fonction de travail interne
dN/N représente la probabilité pour qu'une particule ait ses composantes de vitesse comprises dans les intervalles considérés.


ar
قانون توزيع السرعات لفيرمى-ديارك -سومرفيلد

de
Fermi-Dirac-Sommerfeld-Geschwindigkeitsverteilung, f

es
ley de distribución de las velocidades de Fermi-Dirac-Sommerfeld

fi
Fermi–Dirac–Sommerfeldin nopeusjakauma

it
legge di distribuzione delle velocità di Fermi-Dirac-Sommerfeld

ko
페르미ㆍ 디락ㆍ 좀머펠트 속도 분배 법칙

ja
フェルミ–ディラック–ゾンマーフェルト速度分布則

pl
prawo rozkładu prędkości Fermiego-Diraca-Sommerfelda

pt
lei de distribuição das velocidades de Fermi-Dirac-Sommerfeld

sr
Ферми–Дирак–Зомерфелдов закон, м јд

sv
fermifördelning

zh
费米-狄拉克-索末菲速度分布率

Publication date: 2002-05
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