Lecture Notes2

13 ideal system in e and m fields electric field 2 1

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ∂ 2U U (ξ1 ,ξ 2 ,Κ ,ξ N ) = U (0,0,Κ ,0) + 1 ∑ kijξiξ j + Λ , where k ij = 2 ∂ ξ i, j i j 0 The complete partition function: − hν 2 kT 3N ej V −U (0; ρ ) / kT Q , T = e ∏ qvib, j , where qvib , j = 1 − e − hν j kT N j =1 ∞ ∞ 0; ρ ) U( hν g (ν )dν , where ∫ g (ν )dν = 3 N − ln Q = + ∫ l n(1 − e − hν kT ) + 0 0 kT 2 kT E = U (0; ρ ) + ∫ ∞ 0 hνe − hν kT hν (1 − e − hν kT ) + 2 g (ν )dν 10 (hν kT ) 2 e −hν kT g (ν )dν 0 (1 − e −hν kT ) 2 2. The Einstein Theory: g (ν ) = 3 Nδ (ν − ν E ) Cν = k ∫ ∞ e − hν E kT hν Cv = 3 Nk E kT (1 − e − hν E kT ) 2 3. The Debye Theory: ϖ 4πVν 2 3 1 1 πϖ k= n , g (ν )d...
View Full Document

This document was uploaded on 03/26/2014 for the course PH 641 at NJIT.

Ask a homework question - tutors are online