Answer to Question #295747 in Atomic and Nuclear Physics for Kundan

Question

Derive an expression for density of state for particle 3-D crystal having mass m with

energy ranging between E and E + dE

Answer 1

$D(E)dE=\frac{(2m)^{\frac 32}(E-E_0)^{\frac 12}}{2\pi^2 \hbar ^3}dE.$