(Untitled) (Untitled)(Untitled) (Untitled)(Untitled) (Untitled)(Untitled) (Untitled)(Untitled)Examples




IEVref:521-01-19ID:
Language:enStatus: Standard
Term: Fermi-Dirac-Sommerfeld velocity distribution law
Synonym1:
Synonym2:
Synonym3:
Symbol:
Definition: 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.


Publication date:2002-05
Source:
Replaces:
Internal notes:2017-06-02: Cleanup - Remove Attached Image 521-01-191.gif

2017-06-02: Cleanup - Remove Attached Image 521-01-192.gif
CO remarks:
TC/SC remarks:
VT remarks:
Domain1:
Domain2:
Domain3:
Domain4:
Domain5: