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Modelling the transformation from quasicrystal to crystal

Baranidharan, S and Gopal, ESR and Sasisekharan, V (1993) Modelling the transformation from quasicrystal to crystal. In: Fourth International Conference on Quasicrystals, 31 May-5 June 1992, St. Louis, MO, USA, pp. 640-644.

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The transformation from quasicrystal to crystal tilings using the projection formalism can be done in three ways. The first is the rational orientation of the window, the second is the continuous reorientation of the projection plane, and the third is the continuous evolution of the hyperlattice. Here the window as well as the projection plane are fixed in the same orientation and then the magnitude of basis vectors describing the hyperlattice are continuously changed. Such a transformation from a quasiperiodic tiling to a periodic one takes the phase through a series of intermediate rational approximate structures as well as other quasiperiodic ones which exhibit some micro-crystalline features. The final crystalline form does not contain overlapping vertices as obtained in the second alternative method. The intermediate tiling is made of two different squares and a parallelogram, and the periodic tiling has a superlattice. The Ammann lines are preserved and are continuous through the entire process.

Item Type: Conference Paper
Publisher: North Holland
Additional Information: Copyright of this article belongs to Elsevier Science Publishers B.V.
Keywords: Crystal structure;Crystal lattices;Phase transitions;Mathematical models
Department/Centre: Division of Biological Sciences > Molecular Biophysics Unit
Division of Physical & Mathematical Sciences > Physics
Date Deposited: 10 Jan 2008
Last Modified: 19 Sep 2010 04:38
URI: http://eprints.iisc.ac.in/id/eprint/11122

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