Fitting the Long-Range Order of a Decagonal Quasicrystal

• Authors: M. Chodyń , P. Kuczera , J. Wolny
• Languages of publication: EN

Abstracts

EN

The generalized Penrose tiling is an infinite set of decagonal tilings. It is constructed with the same rhombs (thick and thin) as the conventional Penrose tiling, but its long-range order depends on the so-called shift parameter sın łangle 0,1). The formula for structure factor, calculated within the average unit cell approach, works in physical space only and is directly dependent on the s parameter. It allows to straightforwardly change the long-range order of the refined structure just by changing the s parameter and keeping the tile decoration unchanged. The possibility and viability of using the shift as one of the refinement parameters during structure refinement was tested for a numerically generated simple binary decagonal quasicrystal.

Keywords

EN

61.44.Br

Discipline

• 61.44.Br: Quasicrystals

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2016
• Volume: 130
• Issue: 4
• Pages: 845-847

Dates

published

2016-10

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

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

• [1] P.M. De Wolff, Acta Crystallogr. A 30, 777 (1974), doi: 10.1107/S0567739474010710
• [2] T. Janssen, Acta Crystallogr. A 42, 261 (1986), doi: 10.1107/S0108767386099324
• [3] J. Wolny, Acta Crystallogr. A 54, 1014 (1998), doi: 10.1107/S0108767398006965
• [4] J. Wolny, B. Kozakowski, P. Repetowicz, J. Alloys Comp. 342, 198 (2002), doi: 10.1016/S0925-8388(02)00172-X
• [5] A. Dabrowska, B. Kozakowski, J. Wolny, Acta Crystallogr. A 61, 350 (2005), doi: 10.1107/S0108767305009505
• [6] B. Kozakowski, J. Wolny, Acta Crystallogr. A 66, 489 (2010), doi: 10.1107/S0108767310016272
• [7] M. Baake, M. Schlottmann, P.D. Jarvis, J. Phys. A Math. Gen. 24, 4637 (1991), doi: 10.1088/0305-4470/24/19/025
• [8] A. Pavlovitch, M. Kleman, J. Phys. A Math. Gen. 20, 687 (1987), doi: 10.1088/0305-4470/20/3/031
• [9] K.N. Ishihara, A. Yamamoto, Acta Crystallogr. A 44, 508 (1988), doi: 10.1107/S0108767388002958
• [10] M.V. Jaric, Phys. Rev. B 34, 4685 (1986), doi: 10.1103/PhysRevB.34.4685
• [11] M. Chodyn, P. Kuczera, J. Wolny, Acta Crystallogr. A 71, 161 (2015), doi: 10.1107/S2053273314024917
• [12] A. Yamamoto, Acta Crystallogr. A 52, 509 (1996), doi: 10.1107/S0108767396000967
• [13] International Tables For Crystallography, Volume C, Mathematical, physical and chemical tables, Ed. E. Prince, 2006, doi: 10.1107/97809553602060000103
• [14] P. Kuczera, J. Wolny, W. Steurer, Acta Crystallogr. B 68, 578 (2012), doi: 10.1107/S0108768112041134

Identifiers

DOI

10.12693/APhysPolA.130.845