Interpreting the 4-index Notation for Hexagonal Systems
Other Condensed Matter
2010-06-16 v1 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1006.2842,
title = {Interpreting the 4-index Notation for Hexagonal Systems},
author = {Philip B. Allen},
journal= {arXiv preprint arXiv:1006.2842},
year = {2010}
}
Comments
10 pages with one embedded figure