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Miller indices notation

Miller indices are a notation system used in crystallography to describe the orientation of planes within a crystal lattice. They are written as three numbers (h, k, l) that indicate the intercepts of a plane with the crystal axes, reduced to the smallest whole numbers. Essentially, these indices tell you how a plane "cuts through" a crystal structure, helping scientists understand and visualize the arrangement of atoms. By identifying Miller indices, researchers can analyze crystal properties, cleavage planes, and symmetry, making it a crucial tool in materials science and mineralogy.