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Crystallography is the scientific study of the geometric structure of crystal lattices and the arrangement of atoms within crystalline solids. Historically, the optical properties of crystals were used in mineralogy and chemistry for identification.12

Crystal growth begins with nucleation, where a small cluster of particles forms a stable seed for further development. This growth can occur in solutions, liquids, or vapors as more particles join the initial cluster, arranging themselves in a characteristic crystalline pattern. Natural processes have long created crystals, and since the mid-20th century, scientists have developed laboratory techniques to grow high-quality synthetic crystals. Methods like the Czochralski process are used to grow large, pure crystals, such as silicon for semiconductors. Dendritic growth, a tree-like structure, can occur at faster growth rates.345

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