In one model of a solid, the material is assumed to consist of a regular array of atoms in which each atom has a fixed equilibrium position and is connected by springs to its neighbors. Each atom can vibrate in the x, y, and z directions. The total energy of an atom in this model is

What is the average energy of an atom in the solid when the temperature is T? What is the total energy of one mole of such asolid?

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E = mv + mv, + mv? + Kx? + Ky? + Kz?