Search Menu
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information
Search Scholarly Publications

Title: Selling reduction versus Niggli reduction for crystallographic lattices

Journal Article · · Acta Crystallographica. Section A, Foundations and Advances (Online)
; ;

The unit-cell reduction described by Selling and used by Delone (whose early publications were under the spelling Delaunay) is explained in a simple form. The transformations needed to implement the reduction are listed. The simplicity of this reduction contrasts with the complexity of Niggli reduction.

Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Grant/Contract Number:
AC02-98CH10886; SC0012704
OSTI ID:
1579421
Journal Information:
Acta Crystallographica. Section A, Foundations and Advances (Online), Journal Name: Acta Crystallographica. Section A, Foundations and Advances (Online) Journal Issue: 1 Vol. 75; ISSN ACSAD7; ISSN 2053-2733
Publisher:
International Union of CrystallographyCopyright Statement
Country of Publication:
Denmark
Language:
English

References (11)

On the Bravais types of lattices journal July 1975
Rapid Bravais-lattice determination algorithm for lattice parameters containing large observation errors journal July 2012
Lattices and reduced cells as points in 6-space and selection of Bravais lattice type by projections journal November 1988
Remarks on the Delaunay reduction journal February 1957
The relationship between reduced cells in a general Bravais lattice journal July 1973
The geometry of Niggli reduction: BGAOL –embedding Niggli reduction and analysis of boundaries journal January 2014
The geometry of Niggli reduction: SAUC – search of alternative unit cells journal January 2014
Diskontinuitätsbereich für arithmetische Äquivalenz. journal July 1905
Neue Darstellung der geometrischen Kristallographie journal October 1933
Note on reduced cells journal April 1960
Some remarks on reduced cells 1 journal July 1968

Similar Records

A space for lattice representation and clustering
Journal Article · 2019 · Acta Crystallographica. Section A, Foundations and Advances (Online) · OSTI ID:1617939
Converting three-space matrices to equivalent six-space matrices for Delone scalars in S 6
Journal Article · 2019 · Acta Crystallographica. Section A, Foundations and Advances (Online) · OSTI ID:1617949
An invertible seven-dimensional Dirichlet cell characterization of lattices
Journal Article · 2023 · Acta Crystallographica. Section A, Foundations and Advances (Online) · OSTI ID:2425531

Related Subjects