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The Moment Series Expansion for Quasicrystal with Phason Disorder

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Buganski I., Strzalka R., Wolny J.
Acta Physica Polonica A
|
2016
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vol. 130
|
issue 4
833-835
EN
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.
2
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Simple Decoration Model of Icosahedral Quasicrystals in Statistical Approach

100%
Strzalka R., Buganski I., Wolny J.
Acta Physica Polonica A
|
2016
|
vol. 130
|
issue 4
841-844
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.
3
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Phononic and Phasonic Debye-Waller Factors for 1D Quasicrystals

100%
Wolny J., Buganski I., Strzalka R.
Acta Physica Polonica A
|
2016
|
vol. 130
|
issue 4
836-840
EN
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.
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