Question

if the debye temperature of a solid is 1000 k what can we say about its room temperature specific heat?​

Answer 1

The Debye model is a method developed by Peter Debye in 1912 [7]  for estimating the phonon contribution to the specific heat (heat capacity) in a solid [1] . This model correctly explains the low temperature dependence of the heat capacity, which is proportional to  T3  and also recovers the Dulong-Petit law at high temperatures. However, due to simplifying assumptions, its accuracy suffers at intermediate temperatures.

Introduction to Phonons

In 1912 Debye realized that, inconsistent with the Einstein model, low-energetic excitations of a solid material were not oscillations of a single atom [2] , but collective modes propagating through the material. Such vibrations can be considered to be sound waves, and their propagation speed is the speed of sound in the material [3] . Moreover, these modes only accept energy in discreet amounts.