Structural transformations in quasicrystals induced by higher dimensional lattice transitions

Giuliana Indelicato; Paolo Cermelli; David G. Salthouse; Reidun Twarock; Giovanni Zanzotto; Thomas Keef

doi:10.1098/rspa.2011.0680

Structural transformations in quasicrystals induced by higher dimensional lattice transitions

Giuliana Indelicato, Paolo Cermelli, David G. Salthouse, Reidun Twarock, Giovanni Zanzotto, Thomas Keef

Research output: Contribution to journal › Article › peer-review

Abstract

We study the structural transformations induced, via the cut-and-project method, in quasicrystals and tilings by lattice transitions in higher dimensions, with a focus on transition paths preserving at least some symmetry in intermediate lattices. We discuss the effect of such transformations on planar aperiodic Penrose tilings, and on three-dimensional aperiodic Ammann tilings with icosahedral symmetry. We find that locally the transformations in the aperiodic structures occur through the mechanisms of tile splitting, tile flipping and tile merger, and we investigate the origin of these local transformation mechanisms within the projection framework.

Original language	English
Pages (from-to)	1452-1471
Number of pages	20
Journal	Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences
Volume	468
Issue number	2141
Early online date	8 Feb 2012
DOIs	https://doi.org/10.1098/rspa.2011.0680
Publication status	Published - 8 May 2012

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Structural transformations in quasicrystals induced by higher dimensional lattice transitions. / Indelicato, Giuliana; Cermelli, Paolo; Salthouse, David G. et al.
In: Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 468, No. 2141, 08.05.2012, p. 1452-1471.

Research output: Contribution to journal › Article › peer-review

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T1 - Structural transformations in quasicrystals induced by higher dimensional lattice transitions

AU - Indelicato, Giuliana

AU - Cermelli, Paolo

AU - Salthouse, David G.

AU - Twarock, Reidun

AU - Zanzotto, Giovanni

AU - Keef, Thomas

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Structural transformations in quasicrystals induced by higher dimensional lattice transitions

Abstract

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