03_562ln08

# 03_562ln08 - MIT OpenCourseWare http:/ocw.mit.edu 5.62...

This preview shows pages 1–4. Sign up to view the full content.

MIT OpenCourseWare http://ocw.mit.edu 5.62 Physical Chemistry II Spring 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms .

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
5.62 Lecture #3: Canonical Partition Function: Replace {P i } by Q Canonical Distribution Function Denominator of canonical distribution function has a special name . .. Q(N,V,T) = e E j kT j CANONICAL PARTITION FUNCTION Sum of "Boltzmann factor", e –E j /kT , over states of the assembly originally called "zustandsumme" Z sum over states Q is a very very important quantity. We will use Q to calculate macroscopic properties from microscopic properties Rewrite Canonical Distribution Function in terms of Q . .. e E j kT = Q m FEEL THE POWER OF P j — can now calculate macroscopic properties from ensemble average ... but more convenient to use Q. REPLACING P j IN ENSEMBLE AVERAGE BY Q example: E = P j E j = f(Q) j Define β ≡ 1/kT P j = e E j kT e E m kT m P j = e E j kT e E m kT
5.62 Spring 2008

This preview has intentionally blurred sections. Sign up to view the full version.

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

## This note was uploaded on 11/27/2011 for the course CHEM 5.43 taught by Professor Timothyf.jamison during the Spring '07 term at MIT.

### Page1 / 5

03_562ln08 - MIT OpenCourseWare http:/ocw.mit.edu 5.62...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online