Interpreting the 4-index Notation for Hexagonal Systems

Physics – Condensed Matter – Other Condensed Matter

Scientific paper

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10 pages with one embedded figure

Scientific paper

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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