Necessary and sufficient elastic stability conditions in various crystal systems

Félix Mouhat (1) , François-Xavier Coudert (1)

1 IRCP - Institut de Recherche de Chimie Paris

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.

Domaines: Chimie; Chimie théorique et/ou physique; Matériaux

Félix Mouhat, François-Xavier Coudert. Necessary and sufficient elastic stability conditions in various crystal systems. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2014, 90, pp.224104. ⟨10.1103/PhysRevB.90.224104⟩. ⟨hal-02310188⟩