Problem$2.$ In some molecules, separation of charge density can result in the molecule acting as

an electric dipole with some dipole moment $.$ For an ideal gas of diatomic molecules in an

external electric field $,$ the partition function is given by

$3/2$

$-$hv$/2$kT

$2$;rmkT

$8$;r$21$kT e

$-$hv$/2$kT

Sinh

where I is the moment of inertia of the molecule, v is its fundamental vibrational frequency, and

o and E are the magnitude of the dipole moment and electric field respectively. $($continued on

back$)$

A more general form of the Helmholtz Energy differential is