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Elastic properties and anharmonicity of solids
Russian version
DOI: 10.21883/PSS.2022.02.52973.045
Sanditov D.S.1,2
1Banzarov Buryat State University, Ulan-Ude, Russia
2Physical Material Science Institute, Siberian Branch, Russian Academy of Sciences, Ulan-Ude, Russia
Email: Sanditov@bsu.ru
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The squares of the velocities of the longitudinal and transverse acoustic waves separately are practically not associated with anharmonicity, and their ratio (νL2/νS2) turns out to be a linear function of the Gruneisen parameter γ - the measure of anharmonicity. The obtained dependence of (νL2/νS2) on γ is in satisfactory agreement with the experimental data. The relationship between the quantity (νL2/νS2) and anharmonicity is explained through its dependence on the ratio of the tangential and normal stiffness of the interatomic bond λ, which is a single-valued function of the Gruneisen parameter λ(γ). The relationship between Poisson's ratio μ and Gruneisen parameter γ, established by Belomestnykh and Tesleva, can be substantiated within the framework of Pineda's theory. Attention is drawn to the nature of the Leont'ev formula, derived directly from the definition of the Gruneisen parameter by averaging the frequency of normal lattice vibration modes. The connection between Gruneisen, Leontiev and Belomestnykh-Tesleva relations is considered. The possibility of a correlation between the harmonic and anharmonic characteristics of solids is discussed. Keywords: elastic properties, Gruneisen parameter, formulas of Belomestnykh-Tesleva, Leont'ev, Gruneisen equation, tangential and normal stiffness of interatomic bond, crystals, glasses.
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