Thermal expansion of solids: review on theories

V. A. Drebushchak

doi:10.1007/s10973-020-09370-y

Thermal expansion of solids: review on theories

V. A. Drebushchak

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

The coefficient of thermal expansion of a solid can be derived from (1) anharmonicity of atomic vibrations; (2) lattice dynamics; (3) equation of state by G. Mie; (4) equation of state by E. Grüneisen; and (6) potential of interatomic interaction. Only the last theory in this list provides us with the equation describing correctly all features in the thermal expansion: (1) proportionality between thermal expansion and heat capacity; (2) various values of “plateau” for the coefficient of thermal expansion at temperatures close to Debye temperature; and (3) acceleration of the thermal expansion in the vicinity of melting point.

Original language	English
Pages (from-to)	1097-1113
Number of pages	17
Journal	Journal of Thermal Analysis and Calorimetry
Volume	142
Issue number	2
Early online date	29 Jan 2020
DOIs	https://doi.org/10.1007/s10973-020-09370-y
Publication status	Published - 1 Oct 2020

Keywords

Anharmonicity
Gruneisen
Heat capacity
Interatomic potential
Thermal expansion
THERMODYNAMIC PROPERTIES
SODIUM
PRESSURE-DEPENDENCE
GRUNEISEN-PARAMETER
EQUATION-OF-STATE
TEMPERATURE
DEGREES-K
ISOTHERMAL COMPRESSIBILITY
LATTICE
HEAT-CAPACITY

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10.1007/s10973-020-09370-y

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abstract = "The coefficient of thermal expansion of a solid can be derived from (1) anharmonicity of atomic vibrations; (2) lattice dynamics; (3) equation of state by G. Mie; (4) equation of state by E. Gr{\"u}neisen; and (6) potential of interatomic interaction. Only the last theory in this list provides us with the equation describing correctly all features in the thermal expansion: (1) proportionality between thermal expansion and heat capacity; (2) various values of “plateau” for the coefficient of thermal expansion at temperatures close to Debye temperature; and (3) acceleration of the thermal expansion in the vicinity of melting point.",

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