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2014 | 126 | 2 | 625-628
Article title

Periodic Series of Peaks in Diffraction Patterns of Aperiodic Structures

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EN
Abstracts
EN
Quasicrystals are aperiodic structures with no periodicity both in direct and reciprocal space. The diffraction pattern of quasicrystals consists however of the periodic series of peaks in the scattering vector space. The intensities of the peaks of all series reduced in a proper way build up the so-called envelope function common for the whole pattern. The Fourier transformed envelope gives the average unit cell which is the statistical distribution of atomic positions in physical space. The distributions lifted to high dimensions correspond to atomic surfaces - the basic concept of structural quasicrystals modeling within higher-dimensional approach.
Keywords
EN
Publisher

Year
Volume
126
Issue
2
Pages
625-628
Physical description
Dates
published
2014-08
Contributors
author
  • Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Krakow, Poland
author
  • Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Krakow, Poland
author
  • Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Krakow, Poland
  • Laboratory of Crystallography, ETH Zurich, Switzerland
author
  • Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Krakow, Poland
author
  • Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Krakow, Poland
author
  • Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Krakow, Poland
References
  • [1] D. Shechtman, I. Blech, D. Gratias, J.W. Cahn, Phys. Rev. Lett. 53, 1951 (1984), doi: 10.1103/PhysRevLett.53.1951
  • [2] D. Levine, P.J. Steinhardt, Phys. Rev. Lett. 53, 2477 (1984), doi: 10.1103/PhysRevLett.53.2477
  • [3] J. Wolny , B. Kozakowski, P. Kuczera, R. Strzałka, A. Wnek, Isr. J. Chem. 51, 1275 (2011), doi: 10.1002/ijch.201100144
  • [4] P. Buczek, L. Sadun, J. Wolny, Acta Phys. Pol. B 36, 919 (2005)
  • [5] J. Wolny, Philos. Mag. A 77, 395 (1998), doi: 10.1080/01418619808223760
  • [6] J. Wolny, Acta Crystallogr. A 54, 1014 (1998), doi: 10.1107/S0108767398006965
  • [7] W. Steurer, T. Haibach, Acta Crystallogr. A 55, 48 (1999), doi: 10.1107/S0108767398007272
  • [8] G. Urban, J. Wolny, Philos. Mag. 86, 629 (2006), doi: 10.1080/14786430500251814
  • [9] N.G de Bruijn, Nederl. Akad. Wetensch. Proc. Ser. A 84, 38 (1981)
  • [10] P. Kramer, R. Neri, Acta Crystallogr. A 40, 580 (1984), doi: 10.1107/S0108767384001203
  • [11] M. Duneau, A. Katz, Phys. Rev. Lett. 54, 2688 (1985), doi: 10.1103/PhysRevLett.54.2688
  • [12] P.A. Kalugin, A.Yu. Kitaev, L.S. Levitov, J. Physique Lett. 46, L601 (1985)
  • [13] A. Cervellino, W. Steurer, Acta Crystallogr. A 58, 180 (2002), doi: 10.1107/S0108767301021195
  • [14] H. Takakura, A. Yamamoto, A.P. Tsai, Acta Crystallogr. A 57, 576 (2001), doi: 10.1107/S0108767301007942
  • [15] J. Wolny, A. Wnek, J.L. Verger-Gaugry, J. Comput. Phys. 163, 313 (2000)
  • [16] P. Kuczera, J. Wolny, W. Steurer, Acta Crystallogr. B 68, 578 (2012), doi: 10.1107/S0108768112041134
  • [17] D. Orzechowski, J. Wolny, Philos. Mag. 87, 3049 (2007), doi: 10.1080/14786430701355182
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv126n250kz
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