title: The geometry of Niggli reduction:SAUC- search of alternative unit cells.
abstract: A database of lattices using theG6representation of the Niggli-reduced cell as the search key provides a more robust and complete search than older techniques. Searching is implemented by finding the distance from the probe cell to other cells using a topological embedding of the Niggli reduction inG6, so that all cells representing similar lattices will be found. The embedding provides the first fully linear measure of distances between unit cells. Comparison of results with those from older cell-based search algorithms suggests significant value in the new approach.
authors.affiliation: Dowling College, 1300 William Floyd Parkway, Shirley, NY 11967, USA.
authors.forename: Keith J
authors.initials: KJ
authors.lastname: McGill
authors.affiliation: Dowling College, 1300 William Floyd Parkway, Shirley, NY 11967, USA.
authors.forename: Mojgan
authors.initials: M
authors.lastname: Asadi
authors.affiliation: Dowling College, 1300 William Floyd Parkway, Shirley, NY 11967, USA.
authors.forename: Maria T
authors.initials: MT
authors.lastname: Karakasheva
authors.affiliation: Micro Encoder Inc., 11533 NE 118th Street, Kirkland, WA 98034, USA.
authors.forename: Lawrence C
authors.initials: LC
authors.lastname: Andrews
authors.affiliation: Dowling College, 1300 William Floyd Parkway, Shirley, NY 11967, USA.
authors.forename: Herbert J
authors.initials: HJ
authors.lastname: Bernstein
keywords: Bravais lattice determination; Niggli reduction; computer programs