In: Physics
einstein model take that in solid state, there are 3N normal mode vibration that all have the same mode frequency of ω0. the density of states σ(ω) for this model is
σ(ω) = δ(ω − ω0) .
a. with the given information, and by neglecting the zero point energy, calculate the total energy and the heat capacity Cv in this solid state model.
b. when the temperture is high, show that Cv → 3N kB. this value is often called Dulong-Petit value.