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Fizika Tverdogo Tela, 2021, Volume 63, Issue 2, Pages 292–298
DOI: https://doi.org/10.21883/FTT.2021.02.50482.202 (Mi ftt8190) 		 
This article is cited in 4 scientific papers (total 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
Full-text PDF (129 kB) Citations (4)
DOI: https://doi.org/10.21883/FTT.2021.02.50482.202
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.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 3.5406.2017/Б4
This work was supported by the Ministry of Science and Higher Education of the Russian Federation (grant no. 3.5406. 2017/B4).
Received: 21.09.2020
Revised: 29.09.2020
Accepted: 30.09.2020
English version:
Physics of the Solid State, 2021, Volume 63, Issue 2, Pages 355–361
DOI: https://doi.org/10.1134/S1063783421020232
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. S. Sanditov, A. A. Mashanov, “On the Leontiev formula for the Grüneisen parameter of solid states”, Fizika Tverdogo Tela, 63:2 (2021), 292–298; Phys. Solid State, 63:2 (2021), 355–361
Citation in format AMSBIB
\Bibitem{SanMas21}
\by D.~S.~Sanditov, A.~A.~Mashanov
\paper On the Leontiev formula for the Gr\"uneisen parameter of solid states
\jour Fizika Tverdogo Tela
\yr 2021
\vol 63
\issue 2
\pages 292--298
\mathnet{http://mi.mathnet.ru/ftt8190}
\crossref{https://doi.org/10.21883/FTT.2021.02.50482.202}
\elib{https://elibrary.ru/item.asp?id=44846505}
\transl
\jour Phys. Solid State
\yr 2021
\vol 63
\issue 2
\pages 355--361
\crossref{https://doi.org/10.1134/S1063783421020232}
Linking options:
  • https://www.mathnet.ru/eng/ftt8190
  • https://www.mathnet.ru/eng/ftt/v63/i2/p292
    • This publication is cited in the following 4 articles:
    1. A. Santonocito, B. Patrizi, A. Pirri, M. Vannini, G. Toci, “Cost-effective method for computational prediction of thermal conductivity in optical materials based on cubic oxides”, Sci Rep, 14:1 (2024)  crossref
    2. Xuewen Chen, “Parameter Id of Metal Hi-pressure State Equation”, Applied Mathematics and Nonlinear Sciences, 8:1 (2023), 2315  crossref
    3. Matthias T. Agne, Shashwat Anand, G. Jeffrey Snyder, “Inherent Anharmonicity of Harmonic Solids”, Research, 2022 (2022)  crossref
    4. D. S. Sanditov, A. A. Mashanov, “Anharmonicity and the Ratio of Sound Velocity Squares in Glassy Solids”, Dokl. Phys., 66:3 (2021), 67  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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