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Magnetically ordered quasicrystals: enumeration of spin groups and calculation of magnetic selection rules

Magnetically ordered quasicrystals: enumeration of spin groups and calculation of magnetic... Details are given of the theory of magnetic symmetry in quasicrystals, which has previously only been outlined. A practical formalism is developed for the enumeration of spin point groups and spin space groups, and for the calculation of selection rules for neutron scattering experiments. The formalism is demonstrated using the simple, yet non-trivial, example of magnetically ordered octagonal quasicrystals in two dimensions. In a companion paper Even-Dar Mandel & Lifshitz (2004). Acta Cryst. A60, 179-194, complete results are provided for octagonal quasicrystals in three dimensions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Crystallographica Section A: Foundations of Crystallography International Union of Crystallography

Magnetically ordered quasicrystals: enumeration of spin groups and calculation of magnetic selection rules

Magnetically ordered quasicrystals: enumeration of spin groups and calculation of magnetic selection rules


Abstract

Details are given of the theory of magnetic symmetry in quasicrystals, which has previously only been outlined. A practical formalism is developed for the enumeration of spin point groups and spin space groups, and for the calculation of selection rules for neutron scattering experiments. The formalism is demonstrated using the simple, yet non-trivial, example of magnetically ordered octagonal quasicrystals in two dimensions. In a companion paper Even-Dar Mandel & Lifshitz (2004). Acta Cryst. A60, 179-194, complete results are provided for octagonal quasicrystals in three dimensions.

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References (48)

Publisher
International Union of Crystallography
Copyright
Copyright (c) 2004 International Union of Crystallography
Subject
quasicrystals, spin groups, magnetic selection rules
ISSN
0108-7673
eISSN
1600-5724
DOI
10.1107/S0108767303026746
pmid
14966329
Publisher site
See Article on Publisher Site

Abstract

Details are given of the theory of magnetic symmetry in quasicrystals, which has previously only been outlined. A practical formalism is developed for the enumeration of spin point groups and spin space groups, and for the calculation of selection rules for neutron scattering experiments. The formalism is demonstrated using the simple, yet non-trivial, example of magnetically ordered octagonal quasicrystals in two dimensions. In a companion paper Even-Dar Mandel & Lifshitz (2004). Acta Cryst. A60, 179-194, complete results are provided for octagonal quasicrystals in three dimensions.

Journal

Acta Crystallographica Section A: Foundations of CrystallographyInternational Union of Crystallography

Published: Mar 1, 2004

Keywords: quasicrystals; spin groups; magnetic selection rules.

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