Lecture 18

Lecture 18 - Chem 338 Lecture 18 Gas Phase Molecular...

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Chem 338 C h em 3 3 8 L e c t u r e 1 8 Gas Phase Molecular Dynamics 1. Maxwell-Boltzmann velocity distribution function: 2. <u> = [ 8k B T/ π m ] 1/2 <u 2 > 1/2 = [ 3k B T/m ] 1/2 u mp = [ 2k B T/m ] 1/2 3. Molecular Beams. 3 2 2 2 1 4 22 () exp BB dN u mm u u kT Nd u π ⎛⎞ = ⎜⎟ ⎢⎥ ⎝⎠
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Chem 338 1. Maxwell-Boltzmann velocity distribution function exp j j B g N j j kT N q ε =− For discrete energy levels, : 1 () e x p B gu u ud N u d u N q For continuous energy levels, : 3 2 1 22 2 2 2 0 2 2 4 4 2 1 4 B BB um u g uu mu qu d u dN u mm u u Nd u π == ⎡⎤ = ⎢⎥ ⎣⎦ ⎛⎞ = ⎜⎟ ⎝⎠ Tanslational kinetic energy, : Degeneracy, : Partition Function, : Distribution Function:
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Chem 338
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Chem 338 22 2 2 2 3 2 0 3 2 00 0 0 0 4 2 2 2 84 1 2 4 4 8 xx B x x x m ed x x x kT x du xe dx x x x ue d x ee d x x αα α πα αυ π υ ∞∞ −− −∞ ⎡⎤ =≡ ⎢⎥ ⎣⎦ =− = = == =+ ∫∫
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This note was uploaded on 06/28/2010 for the course CHEM 338 taught by Professor Petersson during the Spring '10 term at Wesleyan.

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Lecture 18 - Chem 338 Lecture 18 Gas Phase Molecular...

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