Now we begin as always with canonical partition

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: we begin, As always with Canonical partition function: Q= 1 N !h3N e E( p1 .. pN ;q1 ..qN ) dp1dp2 ....dpN dq1dq2 ....dqN We note that energy function (a.k.a Hamiltonian) separates into kinetic energy and potential energy parts 1 N 2 2 E= pxn + p 2 + pzn + U x1 , y1....z N yn 2m n=1 ( ) ( ) And, as before we get a separation into (trivial) kinetic energy contribution and an important contribution from configurational part of CPF, we will focus on it in what follows: Q= 1 2 mkT 3N N !h h2 UN kT 3N 2 ZN Where ZN = e dr1dr2 ....drN Interacting particles Now we note also that in most cases total interaction energy can be considered as sum of pairwise interactions between particles: U N ( r1 ,r2 .....rN ) = N i< j u r...
View Full Document

This note was uploaded on 05/04/2010 for the course CHEM 161 taught by Professor Shaklovich during the Spring '10 term at Harvard.

Ask a homework question - tutors are online