Retrieving "Crystal Point Group" from the archives

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1. Piezoelectric Property

   Linked via "crystal point groups"

   Crystallographic Requirements
   For a material to exhibit piezoelectricity, its crystal point group symmetry must lack an inversion center. Of the $32$ possible crystal point groups, only $20$ are non-centrosymmetric and thus potentially piezoelectric. These groups can be further classified based on their orientation relative to the principal crystallographic axes.
   The magnitude of the piezoelect…