Consider a crystal containing N identical atoms. As a crude approximation, assume that each atom is under theeffect of a 3D harmonic potential which keeps it localized, and that atoms do not interact with each other. Wehave therefore 3N simple quantum harmonic oscillators, all of them with the same angular frequency w, that donot interact with each other. Recall that each harmonic oscillator has the energy levels En = ħw(n + 1/{ ),0, 1, 2, .n =(a)Compute the canonical partition function Q(T, N), the free energy A(T, N), the internal energyE(T, N), the heat capacity C(T, N), and the entropy S(T, N) for the Einstein solid.

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Answered: Consider a crystal containing N…

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