(a) Show that z = N/Q. where Is called the partition function. (b) Show that the internal energy per particle is given by U N InQ de (c) For a polyatomic molecule, the energy has contributions from translational motion, and internal degrees of freedom such as rotations and vibrations: € = Etrans + Erot + Cvib Show that the partition function factorizes, and the specific heat capacity decomposes into a sum of terms: Q = Qtrans Qrot Qvib. Cy = Ctrans + Crot + Cutb

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Chapter1: Units, Trigonometry. And Vectors
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(a) Show that
z = N/Q.
where
Is called the partition function.
(b) Show that the internal energy per particle is given by
U
N
InQ
de
(c) For a polyatomic molecule, the energy has contributions from translational motion, and
internal degrees of freedom such as rotations and vibrations: € = Etrans + Erot + Cvib
Show that the partition function factorizes, and the specific heat capacity decomposes into a
sum of terms:
Q = Qtrans Qrot Qvib.
Cy = Ctrans + Crot + Cutb
Transcribed Image Text:(a) Show that z = N/Q. where Is called the partition function. (b) Show that the internal energy per particle is given by U N InQ de (c) For a polyatomic molecule, the energy has contributions from translational motion, and internal degrees of freedom such as rotations and vibrations: € = Etrans + Erot + Cvib Show that the partition function factorizes, and the specific heat capacity decomposes into a sum of terms: Q = Qtrans Qrot Qvib. Cy = Ctrans + Crot + Cutb
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