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Selling reduction versus Niggli reduction for crystallographic lattices
Author(s) -
Andrews Lawrence C.,
Bernstein Herbert J.,
Sauter Nicholas K.
Publication year - 2019
Publication title -
acta crystallographica section a
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.742
H-Index - 83
ISSN - 2053-2733
DOI - 10.1107/s2053273318015413
Subject(s) - reduction (mathematics) , delaunay triangulation , simplicity , simple (philosophy) , mathematics , unit (ring theory) , computer science , pure mathematics , combinatorics , geometry , physics , philosophy , mathematics education , epistemology , quantum mechanics
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.