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In the previous papers we have derived expressions for the elastic constants of non-piezoelectric crystals by considering the change in the energy density when the crystal is subjected to a uniform strain. In this paper we shall show that, in the limiting case of long acoustic waves, the phase velocities are governed by the elastic constants in a way exactly equivalent to that derived from continuous elasticity theory. We also show in what conditions one can use the results of dynamical experiments to define the elastic constants.

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