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Fizika Tverdogo Tela, 2021 Volume 63, Issue 2, Pages 292–298 (Mi ftt8190)

This article is cited in 4 papers

Phase transitions

On the Leontiev formula for the Grüneisen parameter of solid states

D. S. Sanditovab, A. A. Mashanova

a Buryat State University, Ulan-Ude, Russia
b Institute of Physical Materials Science, Siberian Branch of the Russian Academy of Sciences, Ulan-Ude, Russia

Abstract: It has been established that the Leontiev formula is in satisfactory agreement with the Grüneisen equation. A comment on the derivation of this formula has been given. The apparent contradiction in it has been discussed. Its application to crystalline and glassy solids has been considered. It has been shown that we can deduce the Belomestnykh–Tesleva relation, according to which the Grüneisen parameter turns out to be a unique function of the Poisson's ratio, from the Leontiev formula.

Keywords: elastic and thermal properties, anharmonism, Grüneisen equation, acoustic wave velocities, the Leontiev and Belomestnykh–Tesleva formulas, crystals, glasses.

Received: 21.09.2020
Revised: 29.09.2020
Accepted: 30.09.2020

DOI: 10.21883/FTT.2021.02.50482.202


 English version:
Physics of the Solid State, 2021, 63:2, 355–361

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© Steklov Math. Inst. of RAS, 2024