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# Debye frequency

The debye frequency of a crystal is the theoretical maximum frequency of vibration for the atoms that make up the crystal It was proposed by Peter Debye as part of the Debye model. It plays a role in the computation of the specific heat capacity of solids and in theoretical estimates of rates of diffusion. It is related to the speed of sound (vs) in the crystal and the volume V per atom as follows :

$nu_m = left\left(frac\left\{3N\right\}\left\{left\left(4 pi V right\right)\right\}right\right)^\left\{1/3\right\}nu_s$

Where $N/V$ is the number density of atoms in the crystal.

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