Lattice specific heat of a 1D crystal of inert gas atoms. Consider a one-dimensional crystal of inert gas atoms. Let L be the length of the crystal and N the number of atoms. Let a be the lattice constant. . Evaluate the phonon density of states for this crystal. ii. Derive an integral expression for the lattice specific heat of the crystal. iii. Evaluate the lattice specific heat in the high- and low- temperature limits.

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21.
14-4 Lattice specific heat of a 1D crystal of inert gas atoms. Consider
a one-dimensional crystal of inert gas atoms. Let L be the length
of the crystal and N the number of atoms. Let a be the lattice
constant. . Evaluate the phonon density of states for this crystal.
i. Derive an integral expression for the lattice specific heat of the
crystal. iii. Evaluate the lattice specific heat in the high- and low-
temperature limits.
Transcribed Image Text:21. 14-4 Lattice specific heat of a 1D crystal of inert gas atoms. Consider a one-dimensional crystal of inert gas atoms. Let L be the length of the crystal and N the number of atoms. Let a be the lattice constant. . Evaluate the phonon density of states for this crystal. i. Derive an integral expression for the lattice specific heat of the crystal. iii. Evaluate the lattice specific heat in the high- and low- temperature limits.
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