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The third-order elastic constants of hexagonal and cubic structures are related using an extension of a transformation derived by Martin. The transformation is used to calculate the zinc-blende second- and third-order elastic constants of CdS from the experimental wurtzite elastic constants. Also, the transformation is shown to give good results for some face-centered-cubic hexagonal closed-packed polymorphic metals. In particular, the second-order elastic constants of cobalt and thallium in the hexagonal structure are compared with those calculated from cubic elastic constants extrapolated from alloy data, and second- and third-order hexagonal elastic constants of Co-32% Ni are compared with those calculated from cubic elastic constants.
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Fuller et al. (1974) studied this question.
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