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Concentration dependence of the vibrational characteristics of a crystal with substitutional impurities

V. P. TolstoluzhskiiPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR, KharkovE. S. SyrkinPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR, KharkovV. I. PeresadaPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR, Kharkov
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The method of Jacobian matrices is used to study the effect of pairwise impurity interaction on the dynamic and thermodynamic characteristics of a crystal. We analyze, in particular, the splitting of quasilocal vibrations induced by this interaction, and the contribution of these vibrations to the low-temperature specific heat.

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