SysMoleQ

SysMoleQ - ∑ e-ß ε ai ∑ e-ß ε bi ∑ e-ß ε ci ....

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Canonical Ensemble Partition Functions vs. Molecular Partition Functions Partition functions are in terms of states of a system. Can we write partition functions in terms of states of molecule? • • •E • • •E • • •E • • E 1 3 6 3 vs. H O H O H H O H H 3 8 6 ε ε ε 1 2 3 4 5 ε ε ε ε ε E System Energy Levels molecule energy levels E system = ε a + ε b + ε c + . .. Q = i e -ßE i = i e ε ai e ε bi e ε ci . .... Q = ?
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Unformatted text preview: ∑ e-ß ε ai ∑ e-ß ε bi ∑ e-ß ε ci . .... = q a q b q c ... Example: two molecules, a and b: Q = ( e-ß ε a1 + e-ß ε a2 + e-ß ε a3 + . ..)( e-ß ε b1 + e-ß ε b2 + e-ß ε b3 + . . .) Indistinguishable Molecules: e-ß ε a1 e-ß ε b2 e-ß ε a2 e-ß ε b1 ↑ ____ ____ ____ ____ E ____ ____ ____ ____ ____ _ O __ _ O __ ____ _ O __ ____ ____ __ O _ a b a b q a q b q c ... = q N Q = q N N!...
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This document was uploaded on 02/22/2012.

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