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Miller index

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describing crystal lattice planes

~16 min read

Encyclopedic overview

Planes with different Miller indices in cubic crystals Examples of directions Miller indices form a notation system in crystallography for lattice planes in crystal (Bravais) lattices.

In particular, a family of lattice planes of a given (direct) Bravais lattice is determined by three integers h, k, and l, the Miller indices. They are written (hkl), and denote the family of (parallel) lattice planes (of the given Bravais lattice) orthogonal to

Excerpted from Wikipedia’s “Miller index” article, available under the CC BY-SA 4.0 licence.