PL EN


Preferences help
enabled [disable] Abstract
Number of results
2016 | 130 | 4 | 841-844
Article title

Simple Decoration Model of Icosahedral Quasicrystals in Statistical Approach

Content
Title variants
Languages of publication
EN
Abstracts
EN
The statistical approach based on the average unit cell concept was recently successfully applied to structural modelling of icosahedral quasicrystals. The structure factor for arbitrarily decorated icosahedral structure was derived for model Ammann tiling (3D Penrose tiling). It is a fully physical-space model where no higher-dimensional description is needed. In the present paper we show the application of the model to the so-called simple decoration scheme - atomic decoration in the nodes, at mid-edges and along body-diagonal of structural units of 3D Penrose tiling. By analyzing the obtained calculated diffraction patterns we show the correctness of the model and its applicability to binary and ternary icosahedral phases.
Keywords
EN
Publisher

Year
Volume
130
Issue
4
Pages
841-844
Physical description
Dates
published
2016-10
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
author
  • Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, al. A. Mickiewicza 30, 30-059 Krakow, Poland
References
  • [1] M. Duneau, A. Katz, Phys. Rev. Lett. 54, 2688 (1985), doi: 10.1103/PhysRevLett.54.2688
  • [2] T. Janssen, Acta Crystallogr. A 42, 261 (1987), doi: 10.1107/S0108767386099324
  • [3] M. de Boissieu, H. Takakura, C.P. Gomez, A. Yamamoto, A.P. Tsai, Philos. Mag. 87, 2613 (2007), doi: 10.1080/14786430601185093
  • [4] A. Katz, D. Gratias, J. Non-Cryst. Solids 153-154, 187 (1993), doi: 10.1016/0022-3093(93)90340-4
  • [5] A. Yamamoto, Acta Crystallogr. A 52, 509 (1996), doi: 10.1107/S0108767396000967
  • [6] W. Steurer, S. Deloudi, Crystallography of Quasicrystals, Springer-Verlag, Berlin 2009
  • [7] J.E.S. Socolar, P.J. Steinhardt, Phys. Rev. B 34, 617 (1986), doi: 10.1103/PhysRevB.34.617
  • [8] J. Wolny, Philos. Mag. A 77, 395 (1998), doi: 10.1080/01418619808223760
  • [9] P. Buczek, L. Sadun, J. Wolny, Acta Phys. Pol. B 36, 919 (2005)
  • [10] J. Wolny, A. Wnek, J.L. Verger-Gaugry, J. Comput. Phys. 163, 313 (2000), doi: 10.1006/jcph.2000.6563
  • [11] B. Kozakowski, J. Wolny, Acta Crystallogr. A 66, 489 (2010), doi: 10.1107/S0108767310016272
  • [12] J. Wolny, B. Kozakowski, P. Kuczera, R. Strzalka, A. Wnek, Isr. J. Chem. 51, 1275 (2011), doi: 10.1002/ijch.201100144
  • [13] J. Wolny, B. Kozakowski, P. Kuczera, L. Pytlik, R. Strzalka, in: Aperiodic Crystals, Eds. S. Schmidt, R. Withers, R. Lifshitz, Springer, Dordrecht 2013, p. 125
  • [14] J. Wolny, B. Kozakowski, P. Kuczera, L. Pytlik, R. Strza┼éka, A. Wnek, Acta Phys. Pol. A 126, 625 (2014), doi: 10.12693/APhysPolA.126.625
  • [15] J. Wolny, B. Kozakowski, P. Kuczera, L. Pytlik, R. Strzalka, Acta Crystallogr. A 70, 181 (2014), doi: 10.1107/S2053273313034384
  • [16] J. Wolny, P. Kuczera, R. Strzalka, Appl. Phys. Lett. 106, 131905 (2015), doi: 10.1063/1.4916830
  • [17] I. Buganski, R. Strzalka, J. Wolny, Phys. Status Solidi B 253, 450 (2016), doi: 10.1002/pssb.201552426
  • [18] H.-C. Jeong, P.J. Steinhardt, Phys. Rev. Lett. 73, 1943 (1994), doi: 10.1103/PhysRevLett.73.1943
  • [19] M. Baake, U. Grimm, Aperiodic Order, Vol. 1, A Mathematical Invitation, Cambridge University Press, Cambridge 2013
  • [20] R. Strzalka, J. Wolny, P. Kuczera, in: Aperiodic Crystals, Eds. S. Schmidt, R. Withers, R. Lifshitz, Springer, Dordrecht 2013, p. 203
  • [21] R. Strzalka, J. Wolny, Acta Phys. Pol. A 126, 585 (2014), doi: 10.12693/APhysPolA.126.585
  • [22] R. Strzalka, I. Buganski, J. Wolny, Acta Crystallogr. A 71, 279 (2015), doi: 10.1107/S2053273315001473
  • [23] C.L. Henley, V. Elser, Philos. Mag. B 53, L59 (1986), doi: 10.1080/13642818608240638
  • [24] H. Takakura, C.P. Gomez, A. Yamamoto, M. de Boissieu, A.P. Tsai, Nature Mater. 6, 58 (2007), doi: 10.1038/nmat1799
  • [25] P.J. Brown, A.G. Fox, E.N. Maslen, M.A. O'Keefe, B.T.M. Willis, in: International Tables for Crystallography, Vol. C, Ed. E. Prince, IUCr, 2006, Ch. 6.1, p. 554, doi: 10.1107/97809553602060000600
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv130n406kz
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.