Phonon Dispersions in Calcium Tungstate

In the studies on phonons in CaWO₄, Kanamoriet al. investigated the phonon dispersion of translational modes alone, ignoring the finite moment of inertia of tungstate ions and Coulomb interactions. In our present investigations, based on external mode formalism (Venkataraman and Sahni), we consider the coupling of the translational and librational modes and include the long range interactions. The effective ionic charges of the Coulomb interactions and the effective ionic radii of Born–Mayer short range potential arc determined so that the dynamical equilibrium conditions are satisfied and lattice energy is of the right order in comparison with other complex ionic crystals (Raoet al.). The phonon dispersion relations in CaWO_{4carbide Milling Inserts 4}, SrWO₄, SrMoO₄, BaWO₄, BaMoO₄, PbWO₄, and PbMoO₄

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