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einstein model take that in solid state, there are 3N normal mode vibration that all have...

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Physics

einstein model take that in solid state, there are 3N normalmode vibration that all have the same mode frequency of ω0. thedensity of states σ(ω) for this model is

σ(ω) = δ(ω − ω0) .

a. with the given information, and by neglecting the zero pointenergy, calculate the total energy and the heat capacity Cv in thissolid state model.

b. when the temperture is high, show that Cv → 3N kB. this valueis often called Dulong-Petit value.

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