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Quasicrystals: A matter of definition

2003/02/19 by Ron Lifshitz · 1 citation
Physics and Astronomy · #cond-mat.mtrl-sci

paper · pdf · doi:10.1023/a:1026247120031

published as Foundations of Physics 33 (2003) 1703-1711 · To appear in Foundations of Physics. Supersedes cond-mat/0008152

arxiv created 2003/02/19 · arxiv updated 2020/11/10

Abstract

It is argued that the prevailing definition of quasicrystals, requiring them to contain an axis of symmetry that is forbidden in periodic crystals, is inadequate. This definition is too restrictive in that it excludes an important and interesting collection of structures that exhibit all the well-known properties of quasicrystals without possessing any forbidden symmetries.

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