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Indexing of decagonal quasicrystals .1. The T-8-phase

Singh, Alok and Ranganathan, S (1996) Indexing of decagonal quasicrystals .1. The T-8-phase. In: Philosophical Magazine A & B, 74 (4). pp. 821-840.

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Abstract

Indexing of a decagonal quasicrystal using the scheme utilizing five planar vectors and one perpendicular to them is examined in detail. A method for determining the indices of zone axes that a reciprocal vector would make in a decagonal phase of any periodicity has been proposed. By this method, the location of the zone axes made by any reciprocal vector can be predicted. The orthogonality condition has been simplified for the zone axes containing twofold vectors. The locations of zone axes have also been determined by an alternative method, utilizing spherical trigonometric calculations, which confirm the zone-axis locations given by the indices. The effect of one-dimensional periodicity on the indices and the accuracy of the zone-axis determination is discussed. Rules for the formation of zone axes between several reciprocal vectors and the prediction of all the reciprocal vectors in a zone are evolved.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Taylor and francis group.
Department/Centre: Division of Mechanical Sciences > Materials Engineering (formerly Metallurgy)
Others
Date Deposited: 29 Apr 2011 07:20
Last Modified: 29 Apr 2011 07:20
URI: http://eprints.iisc.ernet.in/id/eprint/37308

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