# Specific Heat of Diatomic Gas Rotations.

Find the specific heat capacity, for the following:

(a) An ideal diatomic gas undergoing rotation with no vibrations

(b) An ideal diatomic gas undergoing rotation with radial vibrations.

(see question for attachment with figures)

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Find the specific heat capacity, for the following:

(a) An ideal diatomic gas undergoing rotation with no vibrations

(b) An ideal diatomic gas undergoing rotation with radial vibrations.

(a) We choose the z axis as the axis of rotation and as the angular coordinate about z.

Using Lagrangian mechanics and as our general coordinate. The kinetic energy T is:

So our Hamiltonian is:

We now look for eigenstates of the angular momentum squared quantum ...

#### Solution Summary

The specific heat of diatomic gas rotations are discussed.