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Necessary and sufficient elastic stability conditions in various crystal systems

Félix MouhatPSL Research University, Chimie ParisTech–CNRS, Institut de Recherche de Chimie Paris, 75005 Paris, FranceFrançois‐Xavier CoudertPSL Research University, Chimie ParisTech–CNRS, Institut de Recherche de Chimie Paris, 75005 Paris, France
2014en
ABI

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While the Born elastic stability criteria are well known for cubic crystals, there is some confusion in the literature about the form they should take for lower-symmetry crystal classes. Here we present closed form necessary and sufficient conditions for elastic stability in all crystal classes, as a concise and pedagogical reference to stability criteria in noncubic materials.

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