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In a two-dimensional square lattice atom of mass m interacts only with nearest neighbours with force constant K. If the phonon dispersion relation is

In a two-dimensional square lattice atom of mass m interacts only with nearest neighbours with force constant K. If the phonon dispersion relation is w =4B/m sin Ka/2, then find out the mean square displacement 4B m of an atom from its equilibrium position at high temperature (kBT >> w) in long wavelength.

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