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Part 2 will rate thanks in advance 1. Phonon density of states and specific heat. Assuming that phonons of a three-dime...
Assume there is a 2-dimensional crystalline sample, in which the ions can vibrate within the crystal plane (but not out of plane). It is a square lattice with lattice constant a. The sample itself is a square with side length L. There are N=L2/a2 atoms in the sample. (a) Derive the form of the density of states D(w). (The answer can be expressed in terms of dw/dk.) (b) Assume the phonon dispersion relation is w= vk, calculate the density of...