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Original Articles

Local point symmetry of Bravais quasilattices

Pages 2863-2868 | Received 15 Sep 2006, Accepted 06 Nov 2006, Published online: 02 Dec 2010
 

Abstract

Mutual-local-derivability (MLD) classifications of two-dimensional (2D) and 3D quasilattices were completed in previous papers. The MLD class to which a given quasicrystal belongs is, unfortunately, not determined by the diffraction experiment only. Furthermore, a quasilattice has several types of centres of local point symmetry and types of such centres are determined by the MLD class to which the QL belongs. I have completed lists of the types of local centres for all the MLD classes of 2D quasilattices. These lists together with real space probes like the STM will be used for the determination of the MLD class to which a given quasicrystal belongs.

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