If a crystal is exposed to a magnetic field this will exert a Lorentz force on each ion. In this paper, the standard lattice dynamical theory is modified to allow for such forces, and a perturbation approach is developed. The frequencies of lattice vibrations and the velocity of propagation of acoustic waves are found to be perturbed, with the perturbation parameter being the ratio of the ion-cyclotron frequency in the magnetic field to the characteristic frequency of lattice vibrations.

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