1985
DOI: 10.1002/pssb.2221280113
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Thermoelastic Behaviour and Higher‐Order Elastic Constants of Ionic Crystals

Abstract: The relationships are given between thermoelastic properties and higher-order (third and fourth order) elastic constants for twenty alkali halides with NaCl and CsCl structures, and for four alkaline earth oxides viz. MgO, CaO, 6r0, and BaO crystals. Expressions for thermoelastic qwntities such as the Griineisen parameter and its volume derivative, Anderson parameters, and thermal expansion coefficient, are obtained in terms of higher-order elastic constants. These expressions provide a new method for estimati… Show more

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Cited by 7 publications
(2 citation statements)
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“…In fact we note from (54) that (V/ai) dai/dV and ( V / A ) dA/dV are equal and of opposite sign. The importance of (VIA) dA/dV as a physical quantity of considerable interest for crystals has been established recently [ 145,162 to 1641. Sherman [163] has used this quantity to study the bond anharmonicities and the pressure dependence of normal modes of vibrations, whereas other workers [145,1621 have made use of this to obtain some inter-relationships between elastic constants, dielectric constants, and thermodynamic quantities.…”
Section: Z2(1 -D)2 E2mentioning
confidence: 99%
“…In fact we note from (54) that (V/ai) dai/dV and ( V / A ) dA/dV are equal and of opposite sign. The importance of (VIA) dA/dV as a physical quantity of considerable interest for crystals has been established recently [ 145,162 to 1641. Sherman [163] has used this quantity to study the bond anharmonicities and the pressure dependence of normal modes of vibrations, whereas other workers [145,1621 have made use of this to obtain some inter-relationships between elastic constants, dielectric constants, and thermodynamic quantities.…”
Section: Z2(1 -D)2 E2mentioning
confidence: 99%
“…Recently it has been possible [5] to derive relations between thermoelastic quantities and higher-order elastic constants. These relations have been quite successful in predicting thermoelastic quantities such as the Gruneisen-Anderson parameters, thermal expansion coefficient, etc.…”
Section: Introductionmentioning
confidence: 99%