Question

Calculate the mean zero-point energy per one oscillator of a crystal in terms of Debye theory if the Debye temperaute of the crystel is equal to `Theta`.

Answer 1

The total zero point energy of 1 mole of the solid is `(9)/(8)R Theta`. Dividing this by the number of modes `3N` we get the average zero point energy per mode. It is
`(3)/(8)k Theta`