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Philosophical Magazine A Volume 77, 1998 - Issue 2
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Original Articles

The reference lattice concept and its application to the analysis of diffraction patterns

Janusz Wolny Faculty of Physics and Nuclear Techniques, University of Mining an Metallurgy, 30-059, al. Mickiewicza 30, Cracow, Poland
Pages 395-412 | Received 10 Feb 1997, Accepted 30 May 1997, Published online: 12 Aug 2009

Citations (52)

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Read on this site (16)

Janusz Wolny, Ireneusz Bugański & Radosław Strzałka. (2018) Model refinement of quasicrystals. Crystallography Reviews 24:1, pages 22-64.
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Janusz Wolny, Ireneusz Buganski & Radoslaw Strzalka. (2016) Diffraction pattern of modulated structures described by Bessel functions. Philosophical Magazine 96:13, pages 1344-1359.
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B. Kozakowski, J. Wolny & P. Kuczera. (2008) Structure of quasicrystals described by statistical methods. Philosophical Magazine 88:13-15, pages 1921-1927.
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D. Orzechowski & J. Wolny. (2007) Influence of short-range order on diffraction patterns. Philosophical Magazine 87:18-21, pages 3049-3054.
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P. Buczek & J. Wolny. (2006) Physical space description of decorated 1D aperiodic sequences. Philosophical Magazine 86:27, pages 4181-4194.
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P. Buczek & J. Wolny. (2006) An extinction rule for a class of 1D quasicrystals. Philosophical Magazine 86:6-8, pages 889-894.
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J. Wolny, B. Kozakowski & A. DĄbrowska. (2006) Decorated 2D quasicrystals: structure factor for clusters and average Patterson analysis. Philosophical Magazine 86:3-5, pages 637-643.
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D. Orzechowski & J. Wolny. (2006) Transition from quasicrystals to amorphous structures. Philosophical Magazine 86:3-5, pages 483-487.
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B. Kozakowski & J. Wolny. (2006) Decorated quasicrystals and their diffraction patterns. Philosophical Magazine 86:3-5, pages 549-555.
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G. Urban & J. Wolny. (2006) From harmonically modulated structures to quasicrystals. Philosophical Magazine 86:3-5, pages 629-635.
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Grzegorz Urban & Janusz Wolny . (2004) Statistical approach to multiple-q modulated structures: average Patterson analysis. Philosophical Magazine 84:27, pages 2905-2918.
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J. WOLNY & B. KOZAKOWSKI. (2004) Patterson Analysis and Average Unit Cell for Quasicrystals. Ferroelectrics 305:1, pages 217-221.
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G. URBAN & J. WOLNY. (2004) Multi-q Modulated Structures and Their Diffraction Patterns. Ferroelectrics 305:1, pages 107-110.
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J. Wolny, S. Kapral & L. Pytlik. (2001) Phason and phonon contributions to the diffraction pattern of (√3 × √3)-type hexagonal layers. Philosophical Magazine A 81:2, pages 301-310.
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A. Wnek, J. Wolny, J.-L. Verger-Gaugry & D. Orzechowski. (2001) Singular continuous diffraction component of the thue-morse sequence at 1/17 and 1/41 satellite positions. Ferroelectrics 250:1, pages 425-428.
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Grzegorz Urban & Janusz Wolny. (2001) Diffraction analysis of sinusoidal modulated structures in average unit cell approach. Ferroelectrics 250:1, pages 131-134.
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Articles from other publishers (36)

Citian Wang, Feng Liu & Huaqing Huang. (2022) Effective Model for Fractional Topological Corner Modes in Quasicrystals. Physical Review Letters 129:5.
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Ireneusz Buganski & Luca Bindi. (2021) Insight into the structure of decagonite – the extraterrestrial decagonal quasicrystal. IUCrJ 8:1, pages 87-101.
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Ireneusz Bugański, Radoslaw Strzałka & Janusz Wolny. (2020) A new approach to phason disorder for a decagonal quasicrystal: the moment series expansion of the tiling distribution function for AlCuRh. Journal of Applied Crystallography 53:4, pages 904-913.
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Ireneusz Buganski, Janusz Wolny & Hiroyuki Takakura. (2020) The atomic structure of the Bergman-type icosahedral quasicrystal based on the Ammann–Kramer–Neri tiling. Acta Crystallographica Section A Foundations and Advances 76:2, pages 180-196.
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Ireneusz Buganski, Radoslaw Strzalka & Janusz Wolny. (2019) Phason-flips refinement of and multiple-scattering correction for the d -AlCuRh quasicrystal . Acta Crystallographica Section A Foundations and Advances 75:2, pages 352-361.
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Radoslaw Strzalka, Ireneusz Buganski, Pawel Kuczera, Lucjan Pytlik & Janusz Wolny. (2019) Atomic Structure of Decagonal Al-Cu-Rh Quasicrystal–Revisited: New Correction for Phonons. Crystals 9:2, pages 78.
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Ireneusz Buganski, Maciej Chodyn, Radoslaw Strzalka & Janusz Wolny. (2017) The order-disorder evolution in quasicrystals through phason flips. Journal of Alloys and Compounds 710, pages 92-101.
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Janusz Wolny, Ireneusz Buganski, Pawel Kuczera & Radoslaw Strzalka. (2016) Pushing the limits of crystallography. Journal of Applied Crystallography 49:6, pages 2106-2115.
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R. Strzalka, I. Buganski & J. Wolny. (2016) Simple Decoration Model of Icosahedral Quasicrystals in Statistical Approach. Acta Physica Polonica A 130:4, pages 841-844.
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J. Wolny, I. Buganski & R. Strzalka. (2016) Phononic and Phasonic Debye-Waller Factors for 1D Quasicrystals. Acta Physica Polonica A 130:4, pages 836-840.
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I. Buganski, R. Strzalka & J. Wolny. (2016) The Moment Series Expansion for Quasicrystal with Phason Disorder. Acta Physica Polonica A 130:4, pages 833-835.
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Radoslaw Strzalka, Ireneusz Buganski & Janusz Wolny. (2016) Statistical Approach to Diffraction of Periodic and Non-Periodic Crystals—Review. Crystals 6:9, pages 104.
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Ireneusz Buganski, Radoslaw Strzalka & Janusz Wolny. (2016) The estimation of phason flips in 1D quasicrystal from the diffraction pattern. physica status solidi (b) 253:3, pages 450-457.
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Radoslaw Strzalka, Ireneusz Buganski & Janusz Wolny. (2015) Structure factor for an icosahedral quasicrystal within a statistical approach. Acta Crystallographica Section A Foundations and Advances 71:3, pages 279-290.
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Janusz Wolny, Pawel Kuczera & Radoslaw Strzalka. (2015) Periodically distributed objects with quasicrystalline diffraction pattern. Applied Physics Letters 106:13.
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Maciej Chodyn, Pawel Kuczera & Janusz Wolny. (2015) Generalized Penrose tiling as a quasilattice for decagonal quasicrystal structure analysis. Acta Crystallographica Section A Foundations and Advances 71:2, pages 161-168.
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C Bauer & H Giessen. (2014) Optical properties of aperiodic metallic photonic crystal structures: quasicrystals and disorder. Journal of Optics 16:11, pages 114001.
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J. Wolny, B. Kozakowski, P. Kuczera, L. Pytlik, R. Strzałka & A. Wnek. (2014) Periodic Series of Peaks in Diffraction Patterns of Aperiodic Structures. Acta Physica Polonica A 126:2, pages 625-628.
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R. Strzałka & J. Wolny. (2014) Structure Model for Icosahedral Quasicrystal Based on Ammann Tiling. Acta Physica Polonica A 126:2, pages 585-587.
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M. Chodyń, P. Kuczera & J. Wolny. (2014) Direct and Reciprocal Space Properties of the Generalized Penrose Tiling. Acta Physica Polonica A 126:2, pages 442-445.
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Janusz Wolny, Bartlomiej Kozakowski, Pawel Kuczera, Lucjan Pytlik & Radoslaw Strzalka. (2014) What periodicities can be found in diffraction patterns of quasicrystals?. Acta Crystallographica Section A Foundations and Advances 70:2, pages 181-185.
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J. Wolny, B. Kozakowski, P. Kuczera, L. Pytlik & R. Strzalka. 2013. Aperiodic Crystals. Aperiodic Crystals 211 218 .
R. Strzalka, J. Wolny & P. Kuczera. 2013. Aperiodic Crystals. Aperiodic Crystals 203 210 .
B. Kozakowski & J. Wolny. 2013. Aperiodic Crystals. Aperiodic Crystals 125 132 .
Pawel Kuczera, Janusz Wolny & Walter Steurer. (2012) Comparative structural study of decagonal quasicrystals in the systems Al–Cu– Me ( Me = Co, Rh, Ir) . Acta Crystallographica Section B Structural Science 68:6, pages 578-589.
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Janusz Wolny, Bartlomiej Kozakowski, Pawel Kuczera, Radoslaw Strzalka & Anna Wnek. (2011) Real Space Structure Factor for Different Quasicrystals. Israel Journal of Chemistry 51:11-12, pages 1275-1291.
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Bartłomiej Kozakowski & Janusz Wolny. (2010) Structure factor for decorated Penrose tiling in physical space. Acta Crystallographica Section A Foundations of Crystallography 66:4, pages 489-498.
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Janusz Wolny, Bartlomiej Kozakowski, Pawel Kuczera & Hiroyuki Takakura. (2008) Physical space structure refinement of decagonal quasicrystal in rhombic Penrose tiling model. Zeitschrift für Kristallographie 223:11-12, pages 847-850.
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M. Duda, B. Kozakowski & J. Wolny. (2007) Penrose structures described by different kite-clusters. Journal of Non-Crystalline Solids 353:24-25, pages 2500-2505.
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Janusz Wolny & Bartłomiej Kozakowski. (2004) Two-dimensional quasicrystals and their unit cells (elliptical or Gaussian approximations). Journal of Non-Crystalline Solids 334-335, pages 110-113.
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Grzegorz Urban & Janusz Wolny. (2004) Average unit cell of a square Fibonacci tiling. Journal of Non-Crystalline Solids 334-335, pages 105-109.
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B. Kozakowski & J. Wolny. (2003) Structure Factor for Quasicrystals - 1D Case. Acta Physica Polonica A 104:1, pages 55-66.
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Anna Wnek & Janusz Wolny. (2002) Diffraction analysis of decorated aperiodic structure;. Journal of Alloys and Compounds 342:1-2, pages 217-220.
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Janusz Wolny, Bartłomiej Kozakowski & Przemysław Repetowicz. (2002) Construction of average unit cell for Penrose tiling. Journal of Alloys and Compounds 342:1-2, pages 198-202.
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Janusz Wolny, Anna Wnęk, Jean-Louis Verger-Gaugry & Lucjan Pytlik. (2000) Average unit-cell approach to diffraction on Thue–Morse sequence and decorated quasicrystals. Materials Science and Engineering: A 294-296, pages 381-384.
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Janusz Wolny, Anna Wnęk & Jean-Louis Verger-Gaugry. (2000) Fractal Behaviour of Diffraction Pattern of Thue–Morse Sequence. Journal of Computational Physics 163:2, pages 313-327.
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