The Temperature Variation of the Elastic Moduli of NaCl, KCl and MgO

Milo A. Durand
Phys. Rev. 50, 449 – Published 1 September 1936
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Abstract

The principal adiabatic and isothermal elastic moduli and elastic constants of NaCl, KCl and MgO have been measured over the temperature ranges 80°K to 270°K (Balamuth and Rose) and 270°K to 480°K for NaCl; 80°K to 280°K for KCl; and 80°K to 560°K for MgO. The Debye characteristic temperatures of these substances at 80°K, calculated from the adiabatic elastic constants, are 320°K, 246°K and 946°K, respectively. The variation of the isothermal c11 and c44 with temperature is described very accurately by the formula: (cii)u=(cii)0exp(AiiFii(u)), where u=(Tθ), T is the absolute temperature and θ the characteristic temperature, (cii)0 denotes the value at absolute zero, Aii is a constant of the material, and Fii(u) is a function of u which assumes the value unity when u=1, and which is the same for all three substances. Experimental values of F11(u) and F44(u) are given for values of u between 0.1 and 1.5. The isothermal c12 does not vary with temperature, over the specified ranges, by more than the error of measurement.

  • Received 29 June 1936

DOI:https://doi.org/10.1103/PhysRev.50.449

©1936 American Physical Society

Authors & Affiliations

Milo A. Durand

  • Columbia University

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Issue

Vol. 50, Iss. 5 — September 1936

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