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Please solve this question completely and in a (correct) way as soon as possible and in its entirety. An accurate solution, without explanation. I just want the mathematical solution (solid state physics) to give you a very good evaluation.
Question One: (10 points) cho nous. * (10 points) TOUWS a) If the average number of phonons of wave vectors k for a bulk crystal is Write down the total thermal energy of the crystal:: crystal of the energy bulk crystal <4k) Phonors. b) Write down the Planck distribution function of phonons of frequency o at thermal Phonons.] of frequency wat thermal equilibri is given by: 4 ilibrium is given by. 4/13 VN De was. c) Write down the density of K wave vectors for a linear lattice of length L and number of PRO 3-10 10 vectors for a linear Lattice atoms N: d) Write down the density of modes D() for a linear lattice of length L and number of re of 0(w) for a linear Lattice of Lenght. I and number radius K in the of ro e) For a bulk lattice (3D) write down the number of modes inside a sphere of radius K: .1.30.1.. A day . Synd. (AH. +.R.)./.\&*), Write down the Einstein density of states D(): thermal energy radius K. are g) Write down the thermal energy of one dimension Noscillators according to the Einstein model: one the Einstein. modely write down thes. met..energy. h) Define the Debye temperature: [temp eramared to -8 .2.1....10.. 16) (5.0.6...2...).. ·3·.5.6.... ملاحظہ