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Least path criterion (LPC) for unique indexing in a two-dimensional decagonal quasilattice

Mukhopadhyay, NK and Lord, EA (2002) Least path criterion (LPC) for unique indexing in a two-dimensional decagonal quasilattice. In: Acta Crystallographica Section A, 58 (part 5). pp. 424-428.

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Abstract

The least path criterion or least path length in the context of redundant basis vector systems is discussed and a mathematical proof is presented of the uniqueness of indices obtained by applying the least path criterion. Though the method has greater generality, this paper concentrates on the two-dimensional decagonal lattice. The order of redundancy is also discussed; this will help eventually to correlate with other redundant but desirable indexing sets.

Item Type: Journal Article
Publication: Acta Crystallographica Section A
Publisher: International Union of Crystallography
Additional Information: Copyright of this article belongs to International Union of Crystallography.
Keywords: least path criterion;indexing;quasicrystals;decagonal quasilattice
Department/Centre: Division of Mechanical Sciences > Materials Engineering (formerly Metallurgy)
Date Deposited: 19 Jul 2011 10:12
Last Modified: 19 Jul 2011 10:12
URI: http://eprints.iisc.ac.in/id/eprint/39258

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