The Geometry of Niggli Reduction II: BGAOL -- Embedding Niggli Reduction
Materials Science
2013-05-29 v1
Abstract
Niggli reduction can be viewed as a series of operations in a six-dimensional space derived from the metric tensor. An implicit embedding of the space of Niggli-reduced cells in a higher dimensional space to facilitate calculation of distances between cells is described. This distance metric is used to create a program, BGAOL, for Bravais lattice determination. Results from BGAOL are compared to the results from other metric-based Bravais lattice determination algorithms.
Keywords
Cite
@article{arxiv.1305.6561,
title = {The Geometry of Niggli Reduction II: BGAOL -- Embedding Niggli Reduction},
author = {Lawrence C. Andrews and Herbert J. Bernstein},
journal= {arXiv preprint arXiv:1305.6561},
year = {2013}
}