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5. Diatomic chain. Consider the normal modes of a linear chain in which the force
constants between nearest-neighbor atoms are alternately C and 10C. Let the
masses be equal, and let the nearest-neighbor separation be a/2. Find w(K) at
K = 0 and K T/a. Sketch in the dispersion relation by eye. This problem simu-
lates a crystal of diatomic molecules such as H₂.

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