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Necessary and sufficient elastic stability conditions in various crystal systems
Physical Review B · 2014 · Vol. 90(22)
Félix Mouhat✉(Centre National de la Recherche Scientifique)François‐Xavier Coudert(Chimie ParisTech)
Abstract
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.
X-ray Diffraction in CrystallographyThermal and Kinetic AnalysisIntermetallics and Advanced Alloy PropertiesConfusionStability (learning theory)Symmetry (geometry)Crystal (programming language)Materials sciencePhysicsMathematicsClassical mechanicsTheoretical physicsMathematical analysis
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