3.8 The Einstein Model 3.8 45 The Einstein Model For ω = ω0 we find for the inner energy Z U = 3 dωD(ω) ~ω exp ~ω kT −1 and: = ~ω0 exp ~ω0 kT −1 3N . (3.43) ~ω dU 3N ~ω e kT ~ω CV = = 2 ~ω dT kT e kT − 1 . (3.44) For high temperatures we again get: CV = 3N k . (3.45)
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