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    Wyświetlanie 1-7 z 7
    Tytuł:
    Structure Model for Icosahedral Quasicrystal Based on Ammann Tiling
    Autorzy:
    Strzałka, R.
    Wolny, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/1203441.pdf
    Data publikacji:
    2014-08
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    61.44.Br
    61.50.Ah
    Opis:
    We derive a structure model for icosahedral quasicrystals. The model is based on a statistical approach involving the concept of average unit cell. This approach enables limiting calculations to real space as opposed to higher-dimensional analysis involving to unphysical atomic surface modeling. We start with the three-dimensional Ammann tiling with its two rhombohedral prototiles. For monoatomic decoration of the lattice nodes the perfect agreement with the higher-dimensional description was recently shown. In this paper we discuss the shape of the average unit cell and the first attempts for decoration scheme.
    Źródło:
    Acta Physica Polonica A; 2014, 126, 2; 585-587
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The moment series expansion for quasicrystal with phason disorder
    Autorzy:
    Buganski, I.
    Strzalka, R.
    Wolny, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/1112682.pdf
    Data publikacji:
    2016-10
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    61.44.Br
    61.05.cp
    61.43.-j
    Opis:
    The novel method for structural analysis of quasicrystals with phason flips is presented. The correction for diffraction peaks' intensities can be made within average unit cell approach by modification of the statistical distribution of atomic positions. Characteristic function of the distribution expanded into moment series, involving only even moments, estimates the envelope function and therefore the flip ratio can be evaluated.
    Źródło:
    Acta Physica Polonica A; 2016, 130, 4; 833-835
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Simple decoration model of icosahedral quasicrystals in statistical approach
    Autorzy:
    Strzalka, R.
    Buganski, I.
    Wolny, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/1112766.pdf
    Data publikacji:
    2016-10
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    61.44.Br
    61.50.Ah
    Opis:
    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.
    Źródło:
    Acta Physica Polonica A; 2016, 130, 4; 841-844
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Phononic and phasonic Debye-Waller factors for 1D quasicrystals
    Autorzy:
    Wolny, J.
    Buganski, I.
    Strzalka, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/1113163.pdf
    Data publikacji:
    2016-10
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    61.44.Br
    61.05.cc
    61.50.Ah
    Opis:
    The main purpose of crystallography is to solve and refine crystal structures based on measured diffraction data. One of important corrections crucial in the refinement process is the Debye-Waller factor correction for phonons in physical, and phasons in perpendicular space. In our paper we show the limitations of the standard approaches to the Debye-Waller correction in case of quasicrystals and propose new approach based on the statistical method. For the model 1D quasicrystal we show that in case of phonons there is no significant objection against classical (exponential) Debye-Waller factor, however using different forms can slightly improve the results of a refinement. In case of phasons the classical formula gives no rise to the efficiency of the refinement and completely new approach is required. We propose a redefinition of the Debye-Waller factor in terms of the statistical approach and show its effectiveness.
    Źródło:
    Acta Physica Polonica A; 2016, 130, 4; 836-840
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Structural Disorder in Quasicrystals
    Autorzy:
    Strzałka, R.
    Bugański, I.
    Śmietańska, J.
    Wolny, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/354751.pdf
    Data publikacji:
    2020
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    quasicrystals
    structural disorder
    phonons
    phasons
    structure factor
    Opis:
    One of the challenges of modern crystallography of complex systems (complex metallic alloys, proteins, aperiodic crystals and quasicrystals) is to properly describe the disorder in these systems and discuss correctly the refinement results in terms of the structural disorder. In this paper we briefly discuss a new approach to phasons and phonons in quasicrystals and focus on the new theory of phonons in these materials. A newly derived correction factor for phonons in the form of the Bessel function is the approximated way of describing optic modes in the phonon spectra of quasicrystals. It is applied to a real decagonal quasicrystal in the Al-Cu-Rh system with 56/38 atoms per thick/thin structural unit, based on 2092 unique reflections selected from the collected diffraction data, significantly improving the refinement results. The final R-factor value is 7.24%, which is over 0.5% better result comparing to originally reported. We believe our work will open a broader discussion on the disorder in quasicrystals (and other aperiodic systems) and motivate to develop new approaches to treat the diffraction data influenced by different types of disorder in the new way.
    Źródło:
    Archives of Metallurgy and Materials; 2020, 65, 1; 291-294
    1733-3490
    Pojawia się w:
    Archives of Metallurgy and Materials
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Statistical Description of Diffraction Pattern of Aperiodic Crystals
    Autorzy:
    Wolny, J.
    Bugański, I.
    Pytlik, L.
    Strzałka, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/356782.pdf
    Data publikacji:
    2019
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    aperiodic systems
    quasicrystals
    modulated crystals
    statistical method
    Opis:
    Modern crystallography faces a demanding challenge of describing atomic structure and diffraction pattern of quasicrystals, which, after 30 years of Shechtman’s discovery, is still an open field of research. The classical approach based on the Braggs and Laue equations in three-dimensional space is useless, because the direct and the reciprocal lattices cannot be introduced for aperiodic systems. A standard solution to this problem, applied by number of scientists, is to retrieve periodicity in high dimensions. This is a purely mathematical approach with some difficulties from a point of view of physics. It is mathematically elegant, but not applicable to all aperiodic systems (e.g. Thue-Morse or Rudin-Shapiro sequences). It meets also a serious trouble in a proper description of structural defects, like phasons. In our opinion the most successful alternative to the multidimensional description is a statistical method of diffractional and structural analysis of aperiodic systems, also known as the average unit cell approach (AUC). In this work an application of the AUC method to selected aperiodic systems, including modulated structures, quasicrystals and covering clusters, is discussed in the form of a mini-review. A reader can find more details in the cited references.
    Źródło:
    Archives of Metallurgy and Materials; 2019, 64, 2; 721-725
    1733-3490
    Pojawia się w:
    Archives of Metallurgy and Materials
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Periodic Series of Peaks in Diffraction Patterns of Aperiodic Structures
    Autorzy:
    Wolny, J.
    Kozakowski, B.
    Kuczera, P.
    Pytlik, L.
    Strzałka, R.
    Wnek, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/1203573.pdf
    Data publikacji:
    2014-08
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    61.44.-n
    Opis:
    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.
    Źródło:
    Acta Physica Polonica A; 2014, 126, 2; 625-628
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-7 z 7

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