Assuming The Propagation Velocities Of Longitudinal And Transverse Vibrations To

Assuming the propagation velocities of longitudinal and transverse vibrations to be the same and equal to v, find the Debye temperature
(a) For a unidimensional crystal, i.e. a chain of identical atoms, incorporating n o atoms per unit length;
(b) For a two-dimensional crystal, i.e. a plane square grid consisting of identical atoms, containing n o atoms per unit area;
(c) For a simple cubic lattice consisting of identical atoms, containing no atoms per unit volume.

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