2. 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 @(K) at K = 0 and K = π/a. Sketch in the dispersion relation by eye. This problem simulates a crystal of diatomic molecules such as H₂.

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2. 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 @(K) at K = 0 and
K = π/a. Sketch in the dispersion relation by eye. This problem simulates a crystal
of diatomic molecules such as H₂.
Transcribed Image Text:2. 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 @(K) at K = 0 and K = π/a. Sketch in the dispersion relation by eye. This problem simulates a crystal of diatomic molecules such as H₂.
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