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A Stress Analysis of Some Fundamental Specimens of Soft-Matter Quasicrystals with Eightfold Symmetry Based on Generalized Dynamics

open access: yesAdvances in Materials Science and Engineering, 2019
This paper reports a stress analysis of some fundamental samples made of soft-matter quasicrystals with 8-fold symmetry based on the generalized dynamics.
Fang Wang   +3 more
doaj   +1 more source

Quasicrystals in a monodisperse system [PDF]

open access: yesPhysical Review E, 1999
We investigate the formation of a two-dimensional quasicrystal in a monodisperse system, using molecular dynamics simulations of hard sphere particles interacting via a two-dimensional square-well potential. We find that more than one stable crystalline phase can form for certain values of the square-well parameters.
Anna Skibinsky   +5 more
openaire   +4 more sources

Quasicrystals

open access: yes, 2019
This article is made available for reference. It was written following the March 2006 workshop "The World a Jigsaw: Tessellations in the Sciences" at the Lorentz Center, and due to be published in a book entitled "Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings" (eds R van de Weijgaert, G Vegter, J Ritzerveld ...
Grimm, Uwe, Kramer, Peter
openaire   +2 more sources

Conformal Quasicrystals and Holography [PDF]

open access: yesPhysical Review X, 2020
v1: 8 pages, 4 figures; v2: 9 pages, 4 figures, expanded Introduction and Discussion, added references, matches version to be published in ...
Latham Boyle   +3 more
openaire   +5 more sources

Three-Dimensional and Two-Dimensional Green Tensors of Piezoelectric Quasicrystals

open access: yesCrystals
In this work, within the framework of the linear piezoelectricity theory of quasicrystals, the three-dimensional and two-dimensional Green tensors for arbitrary piezoelectric quasicrystals are derived.
Markus Lazar, Eleni Agiasofitou
doaj   +1 more source

Stability of Two-Dimensional Soft Quasicrystals

open access: yes, 2015
The relative stability of two-dimensional soft quasicrystals is examined using a recently developed projection method which provides a unified numerical framework to compute the free energy of periodic crystal and quasicrystals. Accurate free energies of
Jiang, Kai   +3 more
core   +1 more source

What is a crystal? [PDF]

open access: yes, 2007
Almost 25 years have passed since Shechtman discovered quasicrystals, and 15 years since the Commission on Aperiodic Crystals of the International Union of Crystallography put forth a provisional definition of the term crystal to mean ``any solid having ...
Baake M.   +7 more
core   +4 more sources

Quasicrystals

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 ...
openaire   +2 more sources

Line Defects in Two-Dimensional Dodecagonal Quasicrystals

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   +1 more source

Self Assembly of Soft Matter Quasicrystals and Their Approximants

open access: yes, 2011
The surprising recent discoveries of quasicrystals and their approximants in soft matter systems poses the intriguing possibility that these structures can be realized in a broad range of nano- and micro-scale assemblies.
A. S. Keys   +26 more
core   +2 more sources

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