Lecture 3 - Chem 338 Lecture 3 Statistical Mechanics:...

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Unformatted text preview: Chem 338 Lecture 3 Statistical Mechanics: Ensembles 1. Ensembles: micro = const. N & E ; canonical = const. N ; grand = open a. Equal a priori Probability for all Microstates. b. Microstate, {nij }, occupations of the gj states, i, with energy, Ej c. Macrostates: {Nj =Σi nij }k, occupations of energy levels, j. d. Thermodynamic Probability, Wk = Πj wj = # micro for macrok 2. Bose - Einstein Statistics: S (integer spin). a. Microstates: wj = (gj + Nj -1)! / (gj -1)! Nj! b. Average Occupations: < Nj > = ΣkNjkWk / ΣkWk 3. Fermi - Dirac Statistics: A (half integer spin). a. Microstates: wj = gj ! / (gj -Nj )! Nj! 4. Maxwell - Boltzmann Statistics (distinguishable particles). a. Macrostates: Wk =N! Πj gj Nj / Nj! Chem 338 Chem 338 Chem 338 Chem 338 Chem 338 Chem 338 Chem 338 Chem 338 Chem 338 Chem 338 ...
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Lecture 3 - Chem 338 Lecture 3 Statistical Mechanics:...

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