Thermal expansion and elastic constants

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1991 English Publisher:Springer Science and Business Media LLCJournal:International Journal of Thermophysics, volume 12, pages 637-642 (issn: 0195-928X, eissn: 1572-9567,

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Authors: Hassel Ledbetter;

doi: 10.1007/bf00534219

Thermal expansion and elastic constants

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Abstract

We give a simple, useful relationship between thermal expansion, ΔV/V, and elastic constants. The relationship permits estimation of thermal expansion from only elastic constants (second order and third order) and atomic volume. Elastic-constant temperature dependence is not required. We test the relationship for a variety of crystalline solids. Considering the 0-293 K region, measurement-calculation disagreement ranges from less than 1 to 15%. The model permits extrapolation of high-temperature (near-linear) thermal expansion to zero temperature.

Related Organizations

National Institute of Standards and Technology
United States

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