One can derive this result from classical physics by assuming that each atom in a solid has three translational and three vibrational degrees of freedom and then applying the equipartition theorem.
Einstein formulated a statistical correction to this law that incorporates a coefficient to account for the probability of a solid oscillator having a certain frequency. Peter Debye later improved on Einstein's result by modeling the internal energy of a solid as residing in oscillations of the whole solid and not in individual atoms. Deviations from this law occur at low temperature because the spacing between energy levels is large compared to the product of the Boltzmann constant and the absolute temperature, so it is forbidden to possess energies above the zero-point energy. One can derive this result from classical physics by assuming that each atom in a solid has three translational and three vibrational degrees of freedom and then applying the equipartition theorem. For 10 points, identify this law which states that the specific heat capacity of every solid is three times the ideal gas constant.
Einstein formulated a statistical correction to this law that incorporates a coefficient to account for the probability of a solid oscillator having a certain frequency.
Dulong-Petit Law