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Symmetry 2017, 9(9), 188; https://doi.org/10.3390/sym9090188

On the Form and Growth of Complex Crystals: The Case of Tsai-Type Clusters

1
Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USA
2
Applied Physics Program, University of Michigan, Ann Arbor, MI 48109, USA
3
Department of Cellular and Molecular Pharmacology, University of California, San Francisco, CA 94143, USA
4
Santa Fe Institute, Santa Fe, NM 87501, USA
5
Mathematics and History of Science and Technology, Smith College, Northampton, MA 01063, USA
Dedicated to the memory of Christopher Henley (1955–2015).
*
Author to whom correspondence should be addressed.
Received: 20 July 2017 / Revised: 30 August 2017 / Accepted: 1 September 2017 / Published: 11 September 2017
(This article belongs to the Special Issue Polyhedral Structures)
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Abstract

Where are the atoms in complex crystals such as quasicrystals or periodic crystals with one hundred or more atoms per unit cell? How did they get there? The first of these questions has been gradually answered for many materials over the quarter-century since quasicrystals were discovered; in this paper we address the second. We briefly review a history of proposed models for describing atomic positions in crystal structures. We then present a revised description and possible growth model for one particular system of alloys, those containing Tsai-type clusters, that includes an important class of quasicrystals. View Full-Text
Keywords: complex crystals; quasicrystals; nested clusters; crystal growth complex crystals; quasicrystals; nested clusters; crystal growth
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Taylor, J.E.; Teich, E.G.; Damasceno, P.F.; Kallus, Y.; Senechal, M. On the Form and Growth of Complex Crystals: The Case of Tsai-Type Clusters. Symmetry 2017, 9, 188.

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