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

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

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

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