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2014 | 126 | 2 | 442-445
Article title

Direct and Reciprocal Space Properties of the Generalized Penrose Tiling

Content
Title variants
Languages of publication
EN
Abstracts
EN
We have constructed a generalized Penrose tiling by the cut-and-project method and compared its structure with that of the regular Penrose tiling. We derived the structure factor of the generalized Penrose tiling and applied it to calculate the diffraction pattern of a non-decorated structure.
Keywords
EN
Publisher

Year
Volume
126
Issue
2
Pages
442-445
Physical description
Dates
published
2014-08
Contributors
author
  • Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Al. A. Mickiewicza 30, 30-059 Krakow, Poland
author
  • Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Al. A. Mickiewicza 30, 30-059 Krakow, Poland
  • Laboratory of Crystallography, ETH Zurich, Switzerland
author
  • Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Al. A. Mickiewicza 30, 30-059 Krakow, Poland
References
  • [1] R. Penrose, Bull. Inst. Math. Appl. 10, 266 (1974)
  • [2] R. Penrose, Math. Intelligencer 2, 32 (1979), doi: 10.1007/BF03024384
  • [3] P. Kuczera, J. Wolny, W. Steurer, Acta Crystallogr. B 68, 578 (2012), doi: 10.1107/S0108768112041134
  • [4] P. Kuczera, J. Wolny, F. Fleischer, W. Steurer, Philos. Mag. 91, 2500 (2011), doi: 10.1080/14786435.2010.518985
  • [5] M. Kleman, A. Pavlovitch, J. Phys. A: Math. Gen. 20, 687 (1987), doi: 10.1088/0305-4470/20/3/031
  • [6] W. Steurer, S. Deloudi, Crystallography of Quasicrystals, Springer-Verlag, Berlin 2009
  • [7] K.N. Ishihara, A. Yamamoto, Acta Crystallogr. A 44, 508 (1988), doi: 10.1107/S0108767388002958
  • [8] J. Wolny, Philos. Mag. 77, 395 (1998), doi: 10.1080/01418619808223760
  • [9] B. Kozakowski, J. Wolny, Acta Crystallogr. A 66, 489 (2010), doi: 10.1107/S0108767310016272
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv126n204kz
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