What periodicities can be found in diffraction patterns of quasicrystals?

DOI10.1107/S2053273313034384zbMath1341.52038OpenAlexW2007826270WikidataQ87364121 ScholiaQ87364121MaRDI QIDQ2808918

Janusz Wolny, Lucjan Pytlik, Bartlomiej Kozakowski, Radoslaw Strzalka, Pawel Kuczera

Publication date: 27 May 2016

Published in: Acta Crystallographica Section A Foundations and Advances (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1107/s2053273313034384

zbMATH Keywords

Fibonacci sequencequasicrystalsdiffraction patternPenrose tilingaverage unit cellhigher-dimensional analysis

Mathematics Subject Classification ID

Quasicrystals and aperiodic tilings in discrete geometry (52C23) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

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• Fractal behaviour of diffraction pattern of Thue-Morse sequence.
• The superspace groups for incommensurate crystal structures with a one-dimensional modulation
• On periodic and non-periodic space fillings ofE^mobtained by projection
• The diffraction pattern of projected structures
• Diffraction by aperiodic structures at high temperatures
• General periodic average structures of decagonal quasicrystals
• Statistical approach in cluster analysis of two-dimensional quasicrystals
• Structure factor for decorated Penrose tiling in physical space

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