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Crystallography is the scientific study of crystals, focusing on the arrangement of atoms and the geometric structure of crystal lattices. Historically, optical properties of crystals aided in identifying minerals and chemical substances. Modern crystallography utilizes X-ray diffraction to determine internal structures and bonding in minerals and complex molecules like proteins and DNA.1

A "sphenoid" in crystallography refers to a form consisting of two nonparallel faces that are symmetrical to a 2- or 4-fold axis of symmetry. A "sphenoidal group" is a category within the tetragonal system of crystalline symmetries, with the sphenoid being its typical form. Crystal habit describes the external shape of well-formed crystals, which can be classified by various crystal systems.234

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