ThrmIntr

ThrmIntr - Thermodynamics and Internal Degrees of Freedom...

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Thermodynamics and Internal Degrees of Freedom per mole internal Rotation Vibration High temperature or h ν o <<kT q q r = kT σ B ~ hc q v = 1 1 – e - h ν o /kT q v = 1 1 – e - β h ν o e - h ν o /kT =1–h ν o /kT q v = kT h ν o U - U(0) = RT 2 q q T = –N q q ß RT 2 kT σ B ~ hc k σ B ~ hc = RT * Nh ν o e - h ν o /kT 1- e - h ν o /kT RT 2 kT h ν o k h ν o = RT G - G(0) = -RT ln q at T c –RT ln kT σ B ~ hc -RT ln 207.2 cm -1 σ B ~ RT ln(1– e - h ν o /kT ) RT ln(1– e ν ~ o /207.2cm -1 ) –RT ln kT h ν o -RT ln 207.2 cm -1 ν ~ o * U - U(0) and Vibration q ß = –1 ( 1 – e - β h ν o ) 2 (h ν o e - β h ν o ) U - U(0) = –N q
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