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Quasicrystals [PDF]

open access: yesJournal of Research of the National Institute of Standards and Technology, 2001
The discretely diffracting aperiodic crystals termed quasicrystals, discovered at NBS in the early 1980s, have led to much interdisciplinary activity involving mainly materials science, physics, mathematics, and crystallography. It led to a new understanding of how atoms can arrange themselves, the role of periodicity in nature, and has created a new ...
Cahn, J.W.
core   +4 more sources

Defects in Static Elasticity of Quasicrystals [PDF]

open access: yesCrystals, 2017
A review on mathematical elasticity of quasicrystals is given. In this review, the focus is on various defects of quasicrystals. Dislocation and crack are two classes of typical topological defects, while their existence has great influence on the ...
Qin Xu, Jing Lu, Wu Li
doaj   +2 more sources

Extension of Elastic Models to Decagonal Quasicrystals [PDF]

open access: yesCrystals, 2020
The main design of this paper is to adopt potential functions for solving plane defect problems originating from two-dimensional decagonal quasicrystals.
Wu Li, Yiqing Shi
doaj   +2 more sources

Hyperuniformity of quasicrystals [PDF]

open access: yesPhysical Review B, 2017
12 pages, 14 ...
Oğuz, Erdal C.   +3 more
openaire   +4 more sources

Forming quasicrystals by monodisperse soft core particles [PDF]

open access: yesNature Communications, 2017
Quasicrystals with structural symmetries forbidden in crystals have been found in alloys or mono-component systems composed of anisotropic units. Zu et al.
Mengjie Zu, Peng Tan, Ning Xu
doaj   +3 more sources

Line Defects in Two-Dimensional Dodecagonal Quasicrystals [PDF]

open access: yesMathematics
In this work, line defects in two-dimensional dodecagonal quasicrystals are investigated. Using the ten-dimensional framework of the integral formalism of two-dimensional quasicrystals, the closed-form solutions for the displacement fields and stress ...
Markus Lazar
doaj   +2 more sources

Line Defects in Quasicrystals [PDF]

open access: yesCrystals
The six-dimensional framework of the integral formalism for line defects (straight dislocations and line forces) in anisotropic elasticity has been extended to a 2n-dimensional integral formalism for line defects in quasicrystals (n=4,5,6 for one-, two-,
Markus Lazar
doaj   +5 more sources

The Ammann-Kramer-Neri tiling model of a P-ZnMgEr Bergman-type quasicrystal based on in-house X-ray diffraction. [PDF]

open access: yesActa Crystallogr B Struct Sci Cryst Eng Mater
A structural solution is presented of a primitive icosahedral ZnMgEr quasicrystal representing the Bergman‐type family. The structure model is based on atomic decoration of the Ammann–Kramer–Neri tiling.This study presents the atomic structure solution of a primitive icosahedral Zn70.83Mg20.31Er8.86 quasicrystal using in‐house X‐ray diffraction and the
Buganski I   +7 more
europepmc   +2 more sources

Disclinations in quasicrystals [PDF]

open access: yesPhysical Review Letters, 1987
The most significant feature in the transition from the quasicrystalline to the amorphous state is the loss of long-range bond-orientational order. Disclinations are candidates for elementary excitations which destroy angular correlations. Generalizing the topological defect classification, we investigate point singularities in two-dimensional ...
Bohsung, Jörg, Trebin, Hans-Rainer
openaire   +4 more sources

Heptagonal quasicrystals: Construction of 2D lattices and demonstrations using laser pointers – Concluding part

open access: yesMacedonian Journal of Chemistry and Chemical Engineering, 2023
Photographic slides of an aperiodic heptagonal tiling were used as two-dimensional diffraction gratings (as a standard approach) to describe and demonstrate the basic properties of dodecagonal quasicrystals.
Vladimir M. Petruševski   +1 more
doaj   +1 more source

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