The chemical formula for quartz crystals is SiO2. Quartz crystals are trigonal system crystals. Incidentally, quartz glass, which is also SiO2, is amorphous and not crystalline.
Quartz is a leading piezoelectric. When pressure is applied, electricity is generated. It is a non-ferroelectric polar piezoelectric crystal. Therefore, it does not need polarization processing (aligning the polarity of the charge) like piezoelectric ceramics.
Quartz is an optically birefringent crystal. It is widely used as a material for waveplates.