Diatomic Molecules in an External Field

Question:
Partition function of an ideal gas of diatomic molecules in an external field ε is

where

Here μ is the molecule’s dipole moment. Using this partition function along with the thermodynamic relation,

where , where is the average dipole moment of a molecule in the direction of the external field ε, calculate . Sketch this result versus ε from ε = 0 to ε = ∞ and interpret it.

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