Modeling of dodecagonal quasicrystal lattices

Journal Article · Fri Sep 15 00:00:00 EDT 2017 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776117080106· OSTI ID:22756325

Smolyakov, A. V., E-mail: [e-mail]; Girzhon, V. V., E-mail: [e-mail] ^[1]

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1. Zaporizhzhya National University (Ukraine)

We consider a method for constructing dodecagonal quasi-lattices, which involves the recurrent multiplication of the initial group of sites that are vertices of a regular dodecagon. The algorithm of modeling of reciprocal lattices of dodecagonal quasicrystals has been analyzed. The proposed modeling method is compared with the traditional projection method. We have performed indexing of the diffraction pattern from dodecagonal quasicrystals, which is analogous to indexing proposed by Cahn for icosahedral quasicrystals. The ambiguity of the choice of the basis vectors of the quasicrystal reciprocal lattice has been considered.

• OSTI ID: 22756325
• Journal Information: Journal of Experimental and Theoretical Physics, Vol. 125, Issue 3; Other Information: Copyright (c) 2017 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
DIFFRACTION
OPTIMAL CONTROL
SIMULATION