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Indices of coincidence isometries of the hypercubic lattice

Indices of coincidence isometries of the hypercubic lattice The problem of computing the index of a coincidence isometry of the hypercubic lattice is considered. The normal form of a rational orthogonal matrix is analyzed in detail and explicit formulas for the indices of certain coincidence isometries of are obtained. These formulas generalize the known results for n 4. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Crystallographica Section A: Foundations of Crystallography International Union of Crystallography

Indices of coincidence isometries of the hypercubic lattice

Indices of coincidence isometries of the hypercubic lattice


Abstract

The problem of computing the index of a coincidence isometry of the hypercubic lattice is considered. The normal form of a rational orthogonal matrix is analyzed in detail and explicit formulas for the indices of certain coincidence isometries of are obtained. These formulas generalize the known results for n 4.

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References (16)

Publisher
International Union of Crystallography
Copyright
Copyright (c) 2006 International Union of Crystallography
Subject
coincidence indices, hypercubic lattice
ISSN
0108-7673
eISSN
1600-5724
DOI
10.1107/S010876730603604X
pmid
17057354
Publisher site
See Article on Publisher Site

Abstract

The problem of computing the index of a coincidence isometry of the hypercubic lattice is considered. The normal form of a rational orthogonal matrix is analyzed in detail and explicit formulas for the indices of certain coincidence isometries of are obtained. These formulas generalize the known results for n 4.

Journal

Acta Crystallographica Section A: Foundations of CrystallographyInternational Union of Crystallography

Published: Oct 21, 2006

Keywords: coincidence indices ; hypercubic lattice .

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