Consider a general diatomic chain with two different masses m1 and m2 as well as two different spring constants κ1 and κ2 and lattice constant a. (a) Calculate the dispersion relation for this system. (b) Calculate the velocity of the acoustic mode.

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Consider a general diatomic chain with two different masses m1 and m2 as well as two different spring constants κ1 and κ2 and lattice constant a.

(a) Calculate the dispersion relation for this system.

(b) Calculate the velocity of the acoustic mode.    

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