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Indexing schemes for quasilattices

Lord, Eric A (2003) Indexing schemes for quasilattices. In: Philosophical Magazine, 83 (29). pp. 3283-3307.

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Various schemes have been proposed and employed, which extend the method of indexing lattice vectors and reciprocal-lattice vectors, so that it can be used in the context of quasicrystals. The concept of the generalized inverse of a matrix provides an elegant unified approach to the vectors and reciprocal vectors of quasilattices, and their associated zone laws and inflation rules. We present a survey, from the viewpoint provided by the concept of the Moore–Penrose inverse, of the indexing problem for quasicrystals.

Item Type: Journal Article
Publication: Philosophical Magazine
Publisher: Taylor & Francis Ltd
Additional Information: Copyright of this article belongs to Taylor & Francis Ltd.
Department/Centre: Division of Mechanical Sciences > Materials Engineering (formerly Metallurgy)
Date Deposited: 03 Dec 2007
Last Modified: 19 Sep 2010 04:25
URI: http://eprints.iisc.ac.in/id/eprint/6353

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