Topical Collection "Structure and Properties of Quasicrystals"


Collection Editor
Prof. Dr. Enrique Maciá Barber

Dept. Física de Materiales, Facultad Ciencias Fisicas, Universidad Complutense de Madrid, E-28040 Madrid, Spain
Website | E-Mail
Interests: quasicrystals; complex metallic alloys; quasiperiodic heterostructures; photonic and phononic quasicrystals; electronic and thermal transport in DNA molecules; organic thermoelectric materials; vibrational modes in icosahedral virus particles

Topical Collection Information

Dear Colleagues,

This Collection aims to promote international exchange and to share the latest knowledge and developments in both experimental and fundamental aspects in order to gain a deeper understanding on the relationship between the underlying structural order and the resulting physical properties in quasicrystals and their related approximant phases. The capability of exploiting aperiodic order in the design of novel devices based on dielectric multilayers or semiconductor heterostructures is also addressed. Interdisciplinary approaches encompassing the notion of quasiperiodic order in mineralogy, quantum chemistry and bio-inspired systems of current interest will be considered as well.

Prof. Dr. Enrique Maciá Barber

Collection Editor

Manuscript Submission Information

Manuscripts should be submitted online at 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 collection 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
  • Complex metallic alloys
  • Chemical bonding in quasicrystals
  • Surface properties of quasicrystals and approximant phases
  • Electrical, thermal and thermoelectric transport properties of quasicrystals
  • Magnetic, mechanical properties of quasicrystals
  • Photonic and phononic quasicrystals

Related Special Issue

Published Papers (1 paper)


Open AccessArticle Lempel-Ziv Complexity of Photonic Quasicrystals
Crystals 2017, 7(7), 183; doi:10.3390/cryst7070183
Received: 27 April 2017 / Revised: 20 June 2017 / Accepted: 21 June 2017 / Published: 23 June 2017
PDF Full-text (498 KB) | HTML Full-text | XML Full-text
The properties of one-dimensional photonic quasicrystals ultimately rely on their nontrivial long-range order, a hallmark that can be quantified in many ways depending on the specific aspects to be studied. Here, we assess the quasicrystal structural features in terms of the Lempel-Ziv complexity.
[...] Read more.
The properties of one-dimensional photonic quasicrystals ultimately rely on their nontrivial long-range order, a hallmark that can be quantified in many ways depending on the specific aspects to be studied. Here, we assess the quasicrystal structural features in terms of the Lempel-Ziv complexity. This is an easily calculable quantity that has proven to be useful for describing patterns in a variety of systems. One feature of great practical relevance is that it provides a reliable measure of how hard it is to create the structure. Using the generalized Fibonacci quasicrystals as our thread, we give analytical fitting formulas for the dependence of the optical response with the complexity. Full article

Figure 1

Planned Papers

The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.

Title: Complexity and Electronic Structure of Intermetallics Forming in Push-Pull Alloys
Authors: Esther Belin-Ferré, Guy Trambly de Laissardière and Jean-Marie Dubois 1,2
Affiliation: 1 Institut Jean Lamour (UMR 7198 CNRS – Université de Lorraine), Parc de Saurupt, CS50840, F-54011 Nancy;
Abstract: We draw attention in this article to A-B-C ternary alloys, in which the elemental constituents A, B and C are chosen in such a way that B-C interactions are repulsive or small, but A-B and A-C are strongly attractive in the respective binary systems. Such “push-pull alloys” are reminiscent of amplifiers designed to amplify electric signals. Push-pull alloys amplify complexity, forming complex intermetallics with tens to thousands atoms per unit cell. Few of them lead to the ultimate degree of complexity, when quasiperiodic order substitutes for crystal periodicity, which opens the way to discovering unprecedented properties such as heat insulation in Al62Cu25Fe13 (at. %). Many more compounds are known today, which share the same elemental characteristics (the picture may be extended to specific binary alloys). The case of push-pull alloys will be exemplified with data obtained on ternary systems such as Al-Cu-Fe. Application-oriented properties such as high catalytic activity and infrared absorption will be illustrated.

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