Elastic constants of solid solutions of ionic compounds

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Published under licence by IOP Publishing Ltd
, , Citation A K Giri and G B Mitra 1986 J. Phys. D: Appl. Phys. 19 L5 DOI 10.1088/0022-3727/19/1/002

0022-3727/19/1/L5

Abstract

The three independent elastic constants C11, C12, C44 of solid solutions of ionic compounds have been expressed in terms of those of the constituent ionic compounds, their molecular fractions and lattice constants. Three relationships which have been considered to obtain the expressions are: (i) the expression of Giri and Mitra (1985) for Debye temperatures of solid solutions in terms of those for constituent compounds; (ii) the expression of Shirley (1975) connecting force constants and Debye temperatures; and (iii) expressions of Niu and Shimizu (1967) connecting force constants with elastic constants. The values obtained for C11, C12 and C44 are in excellent agreement with the experimental values for NaCl-NaBr, KCl-KBr, KBr-KI and AgCl-AgBr systems.

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10.1088/0022-3727/19/1/002