Question: Show analytically that if the two masses are equal and the two spring constants are equal, then the dispersion relation becomes the simple relation for

Show analytically that if the two masses are equal and the two spring constants are equal, then the dispersion relation becomes the simple relation for a linear monatomic chain,

where a is the spacing between the atoms.

w = 2/K/M sin(ka/2), (3.1.15)

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to ie When K K K and M M M Eq 3111 in the main text reduces 2K2Mw Mw42K2 1 cos ka ... View full answer

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