03_562ln08

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

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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 .
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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
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5.62 Spring 2008
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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.

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

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