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we shall approximate the partition function of a crystal by
e-hv/2kT
3N
Q =
eUolkT
-e-hv/kT
where hv/k = Og is a constant characteristic of the crystal, and U, is the sublimation energy
of the crystal. Calculate the heat capacity from this simple partition function and show that
at high temperatures, one obtains the law of Dulong and Petit, namely, that Cy→3Nk as
T- 0.

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