Interpreting the 4-index Notation for Hexagonal Systems
classification
❄️ cond-mat.other
math-phmath.MP
keywords
notationhexagonalindexbasisbeenclarifiescrystalcrystals
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A four index notation (e.g. (10-11) is often used to denote reciprocal lattice vectors or crystal faces of hexagonal crystals. The purposes of this notation have never been fully explained. This note clarifies the underlying mathematics of a symmetric overcomplete basis. This simplifies and improves the usefulness of the notation.
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