Miller indices
Miller indices are a notation system used to describe the orientation of crystal planes in a solid material. They are represented by three numbers, often written as (hkl), which indicate how each plane intersects the crystal axes. By taking the reciprocal of the intersection with the axes and reducing it to the smallest integers, Miller indices give a unique way to identify the various planes in a crystal structure. This helps scientists understand material properties and behaviors, influencing areas like mineralogy, material science, and solid-state physics.
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Miller indices are a notation system used in crystallography to describe the orientation of crystal planes. Each set of three numbers (hkl) represents the intersection of a crystal plane with the axes of a crystal lattice. The numbers indicate how many times the plane cuts through each axis, with lower values indicating closer intersections. This system helps scientists and engineers identify and classify the structure of materials, aiding in the understanding of their properties and behaviors in fields like materials science and solid-state physics.