Modeling of decagonal quasicrystal lattice

Modeling of decagonal quasicrystal lattice

The model of the reciprocal lattice of decagonal quasicrystal has been proposed. It is based on the multiplication of the basis sites' groups according to the proposed rules. This model was shown to provide the information not only on the reciprocal sites location, but also on the intensity of...

Full description

Saved in:
Bibliographic Details
Published in:Journal of non-crystalline solids Vol. 358; no. 2; pp. 137 - 144
Main Authors: Girzhon, V.V., Kovalyova, V.M., Smolyakov, O.V., Zakharenko, M.I.
Format: Journal Article
Language:English
Published: Oxford Elsevier B.V 15-01-2012
Elsevier
Subjects:
Condensed matter: structure, mechanical and thermal properties
Decagonal quasicrystal
Diffraction
Exact sciences and technology
Icosahedral quasicrystal
Lattices
Modeling of structure
Multiplication
Physics
Position (location)
Projection
Quasicrystals
Reciprocal lattice
Reflection
Semi-periodic solids
Structure of solids and liquids; crystallography
Three dimensional
Modeling of structure
Decagonal quasicrystal
Icosahedral quasicrystal
Reciprocal lattice
Fibonacci sequences
Modelling
Quasicrystals
Decagonal phase
Structural models
Icosahedral phase
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The model of the reciprocal lattice of decagonal quasicrystal has been proposed. It is based on the multiplication of the basis sites' groups according to the proposed rules. This model was shown to provide the information not only on the reciprocal sites location, but also on the intensity of the appropriated diffraction reflections. The physical justification of the proposed model correctness has been provided on the base of projection of six-dimensional hyperlattice onto the three-dimensional space. The possibility of three-indices labeling of the diffraction reflections of decagonal quasicrystals has been exhibited. ► The model of the reciprocal lattice of decagonal quasicrystal has been proposed. ► Relationship between the structure of decagonal and icosahedral quasicrystals is demonstrated. ► Only three index enough for indexing the diffraction reflections of the decagonal quasicrystals.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0022-3093
1873-4812
DOI:10.1016/j.jnoncrysol.2011.09.017