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Crystals
Special Issues
Periodic and Quasi-periodic Structures
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Periodic and Quasi-periodic Structures

A special issue of Crystals (ISSN 2073-4352). This special issue belongs to the section "Inorganic Crystalline Materials".

Deadline for manuscript submissions: 30 April 2024 | Viewed by 1118

Special Issue Editors

Dr. Zaky A. Zaky

E-Mail Website
Guest Editor
Physics Department, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt
Interests: periodic structures; photonic crystal; phononic crystal; sensors
Dr. Zhaketov Vladimir

E-Mail Website
Guest Editor
Frank Laboratory of Neutron Physics, Joint Institute for Nuclear Research, Dubna, Russia
Interests: multilayers; polarized neutron reflectometry; X-ray diffraction

Special Issue Information

Dear Colleagues,

As a central theme in this Special Issue, periodic and quasi-periodic structures are investigated to achieve spatial modulation of photons, phonons, neutrons, and X-rays.

Artificial multilayers with periodic and quasi-periodic arrangements of different materials exhibit bandgaps in their spectra (transmittance or reflectance) through Bragg diffraction. Inserting a defect cell inside the structure at suitable conditions creates a resonance that can be used in different applications.

As Guest Editors, we are pleased to invite you to submit manuscripts for this Special Issue, entitled “Periodic and Quasi-Periodic Structures,” which is focused on broad applications of the results involving their simulation, fabrication, and characterization of properties.

Dr. Zaky A. Zaky
Dr. Zhaketov Vladimir
Guest Editors

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 submissions that pass pre-check are 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 2600 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.

Keywords

  • periodic structures
  • quasi-periodic structures
  • photonic crystal
  • phononic crystal
  • theoretical modeling
  • multilayers
  • polarized neutron reflectometry
  • X-ray diffraction

Published Papers (1 paper)

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Research

16 pages, 869 KiB  
Article
From the Fibonacci Icosagrid to E8 (Part II): The Composite Mapping of the Cores
by Richard Clawson, Fang Fang and Klee Irwin
Crystals 2024, 14(2), 194; https://doi.org/10.3390/cryst14020194 - 15 Feb 2024
Viewed by 800
Abstract
This paper is part of a series that describes the Fibonacci icosagrid quasicrystal (FIG) and its relation to the E8 root lattice. The FIG was originally constructed to represent the intersection points of an icosahedrally symmetric collection of planar grids in three [...] Read more.
This paper is part of a series that describes the Fibonacci icosagrid quasicrystal (FIG) and its relation to the E8 root lattice. The FIG was originally constructed to represent the intersection points of an icosahedrally symmetric collection of planar grids in three dimensions, with the grid spacing of each following a Fibonacci chain. It was found to be closely related to a five-fold compound of 3D sections taken from the 4D Elser–Sloane quasicrystal (ESQC), which is derived via a cut-and-project process from E8. More recently, a direct cut-and-project from E8 has been found which yields the FIG (presented in another paper of this series). The present paper focuses not on the full quasicrystal, but on the relationship between the root polytope of E8 (Gosset’s 421 polytope) and the core polyhedron generated in the FIG, a compound of 20 tetrahedra referred to simply as a 20-Group. In particular, the H3 symmetry of the FIG can be seen as a five-fold or “golden” composition of tetrahedral symmetry (referring to the characteristic appearance of the golden ratio). This is shown to mirror a connection between tetrahedral and five-fold symmetries present in the 421. Indeed, the rotations that connect tetrahedra contained within the 421 are shown to induce, in a certain natural way, the tetrahedron orientations in the 20-Group. Full article
(This article belongs to the Special Issue Periodic and Quasi-periodic Structures)
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