Special Issue "Structure and Properties of Quasicrystalline Materials"

A special issue of Crystals (ISSN 2073-4352). This special issue belongs to the section "Crystal Engineering".

Deadline for manuscript submissions: 31 March 2018

Special Issue Editor

Guest Editor
Dr. Dmitry A. Shulyatev

Materials Modeling and Development Laboratory, National University of Science and Technology MISIS, Moscow 119049, Russia
Website | E-Mail
Interests: crystal growth; high Tc superconductivity; metamagnetism; magnetoresistivity; low temperature physics; electrical transport; magnetometry

Special Issue Information

Dear Colleagues,

Since 1984, when Shechtman and coworkers published their pioneering paper on non-crystallographic rotational symmetry in rapidly quenched Al6Mn alloy, there has been an extraordinary interest in investigations of the structure and properties of this new type of atomic order in the solid state, termed “quasicrystals”. Quasicrystals have aperiodic long-range atomic order and symmetry, forbidden for periodic systems. They demonstrate unusual physical properties: Being alloys of “good” metals, they exhibit a large electrical resistance with a negative temperature coefficient, low thermal conductivity, very high hardness, low surface energy, low coefficient of friction, high catalytic activity, and a great deal of other interesting properties.

A massive amount of experimental and theoretical data on the structure and physical properties of quasicrystals has been accumulated over the more than 30 years of their investigation. This Special Issue will focus on the most recent advances in the field of quasicrystals and their crystalline approximants.

The possible topics include, but are not limited to:

  • Structure and Mathematical Modeling of Quasicrystals and Approximants
  • Soft Matter Quasicrystals
  • Formation and Stability of Quasicrystals
  • Phason Dynamics
  • Electron Microscopy and Surface Investigations of Quasicrystals and Approximants
  • Electronic Structure and Transport in Quasicrystals and Approximants
  • Magnetic, Thermal and Mechanical Properties of Quasicrystals and Approximants
  • New Quasicrystalline alloys

Dr. Dmitry A. Shulyatev
Guest Editor


Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Crystals is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1000 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.


  • Quasicrystals
  • Approximants
  • Aperiodic structure
  • Phason
  • Electronic structure
  • Transport, Magnetic, Thermal and Mechanical Properties

Published Papers (1 paper)

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Open AccessArticle Methods for Calculating Empires in Quasicrystals
Crystals 2017, 7(10), 304; doi:10.3390/cryst7100304
Received: 31 August 2017 / Revised: 26 September 2017 / Accepted: 29 September 2017 / Published: 9 October 2017
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This paper reviews the empire problem for quasiperiodic tilings and the existing methods for generating the empires of the vertex configurations in quasicrystals, while introducing a new and more efficient method based on the cut-and-project technique. Using Penrose tiling as an example, this
[...] Read more.
This paper reviews the empire problem for quasiperiodic tilings and the existing methods for generating the empires of the vertex configurations in quasicrystals, while introducing a new and more efficient method based on the cut-and-project technique. Using Penrose tiling as an example, this method finds the forced tiles with the restrictions in the high dimensional lattice (the mother lattice) that can be cut-and-projected into the lower dimensional quasicrystal. We compare our method to the two existing methods, namely one method that uses the algorithm of the Fibonacci chain to force the Ammann bars in order to find the forced tiles of an empire and the method that follows the work of N.G. de Bruijn on constructing a Penrose tiling as the dual to a pentagrid. This new method is not only conceptually simple and clear, but it also allows us to calculate the empires of the vertex configurations in a defected quasicrystal by reversing the configuration of the quasicrystal to its higher dimensional lattice, where we then apply the restrictions. These advantages may provide a key guiding principle for phason dynamics and an important tool for self error-correction in quasicrystal growth. Full article
(This article belongs to the Special Issue Structure and Properties of Quasicrystalline Materials)

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