Full-text resources of PSJD and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl
Preferences help
Polish version English version Language
enabled [disable] Abstract
Number of results

Results found: 4

Number of results on page
first rewind previous Page / 1 next fast forward last

Search results

Search:
in the keywords:  61.05.cc
help Sort By:

help Limit search:
first rewind previous Page / 1 next fast forward last
1
Content available remote

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.
2
Content available remote

Scaling of the Thue-Morse Diffraction Measure

100%
Baake M., Grimm U., Nilsson J.
|
|
vol. 126
|
issue 2
431-434
EN
We revisit the well-known and much studied Riesz product representation of the Thue-Morse diffraction measure, which is also the maximal spectral measure for the corresponding dynamical spectrum in the complement of the pure point part. The known scaling relations are summarised, and some new findings are explained.
3
Content available remote

Dynamical Properties of k-Free Lattice Points

100%
Huck C., Baake M.
|
|
vol. 126
|
issue 2
482-485
EN
We revisit the visible points of a lattice in Euclidean n-space together with their generalisations, the k-th-power-free points of a lattice, and study the corresponding dynamical system that arises via the closure of the lattice translation orbit. Our analysis extends previous results obtained by Sarnak and by Cellarosi and Sinai for the special case of square-free integers and sheds new light on previous joint work with Peter Pleasants.
4
Content available remote

Recent Progress in Mathematical Diffraction

100%
Grimm U., Baake M.
|
|
vol. 126
|
issue 2
474-478
EN
A brief summary of recent developments in mathematical diffraction theory is given. Particular emphasis is placed on systems with aperiodic order and continuous spectral components. We restrict ourselves to some key results and refer to the literature for further details.
first rewind previous Page / 1 next fast forward last
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.