Direct and Reciprocal Space Properties of the Generalized Penrose Tiling

• Authors: M. Chodyń , P. Kuczera , J. Wolny
• 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

61.44.Br

Discipline

• 61.44.Br: Quasicrystals

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2014
• Volume: 126
• Issue: 2
• Pages: 442-445

Dates

published

2014-08

Contributors

author

M. Chodyń

• Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Al. A. Mickiewicza 30, 30-059 Krakow, Poland

author

P. Kuczera

• 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

J. Wolny

• Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Al. A. Mickiewicza 30, 30-059 Krakow, Poland

References

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• [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

Identifiers

DOI

10.12693/APhysPolA.126.442