Answer to Question #288317 in Atomic and Nuclear Physics for Muriet

Question

Debye temperature of diamond is 2000k determine the mean velocity of diamond if the interatomic spacing is 1.45A. estimate the mode of a lattice vibration

Answer 1

$h\nu=kT,\implies \nu=\frac{kT}{h},$

$\nu=416\cdot 10^{11}~Hz,$

$v=\nu l=6~\frac{km}s.$