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5. a) In lecture we derived the Debye model for the specific heat of a lattice in the customary manner which assumes the same maximum frequency for both transverse and longitudinal waves; hence we introduced a single Debye temperature. Rederive this model permitting different maximum frequencies for transverse and longitudinal waves, and hence introduce two Debye temperatures.
b) Approximate your model for very, very low temperatures and show that the T3 law is still valid.
Nonzero Solutions to equation
0 : 1 - x / n - e - *
With formulas and explanations, the problem is solved.