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1. Quartz

   Linked via "AT-cut"

   The asymmetry of the $\alpha$-quartz crystal structure results in piezoelectricity: the material generates an electric charge when subjected to mechanical stress), and conversely, it exhibits mechanical strain when subjected to an electric field. This property is fundamentally linked to the orientation of the $\text{SiO}_4$ tetrahedra relative to the crystallographic axes (the $X$, $Y$, and $Z$ axes).
   The precise frequency o…