Thermal expansion of solids: review on theories

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 t...

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Bibliographic Details
Published in:Journal of thermal analysis and calorimetry 2020-10, Vol.142 (2), p.1097-1113
Main Author: Drebushchak, V. A.
Format: Article
Language:English
Subjects:
Analytical Chemistry
Anharmonicity
Chemistry
Chemistry and Materials Science
Equations of state
Inorganic Chemistry
Measurement Science and Instrumentation
Melting points
Physical Chemistry
Polymer Sciences
Specific heat
Thermal expansion
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Summary: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.
ISSN:1388-6150
1588-2926
DOI:10.1007/s10973-020-09370-y