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: closed (30 April 2024) | Viewed by 1209

Special Issue Editors


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Guest Editor
Physics Department, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt
Interests: periodic structures; photonic crystal; phononic crystal; sensors

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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

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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 870
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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