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Rational approximant structures to decagonal quasicrystals

Ranganathan, S and Subramaniam, Anandh and Ramakrishnan, K (2001) Rational approximant structures to decagonal quasicrystals. In: Materials Science and Engineering A, 304-30 . pp. 888-891.

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Abstract

We have shown earlier that the decagonal quasicrystalline phase can be derived by the twinning of the icosahedral cluster about the five-fold axis by 36°. It is shown here that in a similar fashion, the rational approximant structures (RAS) to the decagonal quasicrystal can be constructed by the twinning of RAS to the icosahedral quasicrystalline phase. The twinning of the Mackay (cubic) type RAS leads to the Taylor (q1/p1, q1/p1) phases, while the twinning of the orthorhombic Little phase leads to the Robinson (q1/p1, q2/p2) approximants to the decagonal quasicrystal. With increasing order of q1/p1 or q2/p2, we approach the digonal quasicrystal with one-dimensional quasiperiodicity.

Item Type: Journal Article
Publication: Materials Science and Engineering A
Publisher: Elsevier
Additional Information: Copyright of this article belongs to Elsevier.
Keywords: Rational approximant structures (RAS);Quasicrystalline phase;Taylor and the Robinson phases
Department/Centre: Division of Mechanical Sciences > Materials Engineering (formerly Metallurgy)
Date Deposited: 10 Apr 2007
Last Modified: 19 Sep 2010 04:37
URI: http://eprints.iisc.ac.in/id/eprint/10633

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