What periodicities can be found in diffraction patterns of quasicrystals?. Issue 2 (19th February 2014)

• Record Type: Journal Article
• Authors: Wolny, Janusz; Kozakowski, Bartlomiej; Kuczera, Pawel; Pytlik, Lucjan; Strzalka, Radoslaw
• Is Part Of: Acta crystallographica. Volume 70:Issue 2(2014:Mar.)
• Page Start: 181
• Page End: 185
• Publication Date: 2014-02-19
• Subjects: Crystallography -- Periodicals; Condensed matter -- Periodicals; 548
• DOI: 10.1107/S2053273313034384
• Languages: English
• ISSNs: 2053-2733

Abstract

<abstract abstract-type="main" xml:lang="en"> <title> <x xml:space="preserve">Abstract</x> </title> <p>The structure of quasicrystals is aperiodic. Their diffraction patterns, however, can be considered periodic. They are composed solely of series of peaks which exhibit a fully periodic arrangement in reciprocal space. Furthermore, the peak intensities in each series define the so‐called `envelope function'. A Fourier transform of the envelope function gives an average unit cell, whose definition is based on the statistical distribution of atomic coordinates in physical space. If such a distribution is lifted to higher‐dimensional space, it becomes the so‐called atomic surface – the most fundamental feature of higher‐dimensional analysis.</p> </abstract>