Relations between the single-crystal and polycrystalline saturation magnetostriction constants are derived for cubic materials of positive and negative anisotropies. Terms which are independent of the direction in which the magnetostrictive strain is measured are not neglected and the formulae obtained are thus directly applicable to the corresponding magnetoresistance constants. The method used is perfectly general and is extended to deal with materials of hexagonal (and cylindrical) symmetry for which the hexagonal axis is a direction of easy magnetization or for which the basal plane is a plane of easy magnetization. The relations obtained are compared with experimental data.
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R R Birss (1960) studied this question.
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