Results 61 to 70 of about 27,519 (287)

On the spectrum of the Thue-Morse quasicrystal and the rarefaction phenomenon [PDF]

open access: yes, 2008
The spectrum of a weighted Dirac comb on the Thue-Morse quasicrystal is investigated, and characterized up to a measure zero set, by means of the Bombieri-Taylor conjecture, for Bragg peaks, and of another conjecture that we call Aubry-Godr\`eche-Luck ...
Gazeau, Jean-Pierre   +1 more
core   +3 more sources

Crack Propagation in Quasicrystals [PDF]

open access: yesPhysical Review Letters, 1998
Crack propagation is studied in a two dimensional decagonal model quasicrystal. The simulations reveal the dominating role of highly coordinated atomic environments as structure intrinsic obstacles for both dislocation motion and crack propagation. For certain overloads, these obstacles and the quasiperiodic nature of the crystal result in a specific ...
F. Krul   +4 more
openaire   +2 more sources

Imaging quasiperiodic electronic states in a synthetic Penrose tiling

open access: yesNature Communications, 2017
Quasicrystals possess long-range order but lack translational symmetry. Here, the authors use atomic manipulation and scanning tunnelling microscopy to assemble a Penrose tiling quasicrystal and observe that its electronic density of states has a ...
Laura C. Collins   +4 more
doaj   +1 more source

Extension of Elastic Models to Decagonal Quasicrystals

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   +1 more source

A Thermoelectric Energy Harvester Based on Microstructured Quasicrystalline Solar Absorber

open access: yesMicromachines, 2021
As solar radiation is the most plentiful energy source on earth, thermoelectric energy harvesting emerges as an interesting solution for the Internet of Things (IoTs) in outdoor applications, particularly using semiconductor thermoelectric generators ...
Vinícius Silva Oliveira   +5 more
doaj   +1 more source

Visibility and Directions in Quasicrystals [PDF]

open access: yesInternational Mathematics Research Notices, 2014
It is well known that a positive proportion of all points in a $d$-dimensional lattice is visible from the origin, and that these visible lattice points have constant density in $\mathbb{R}^d$. In the present paper we prove an analogous result for a large class of quasicrystals, including the vertex set of a Penrose tiling.
Jens Marklof, Andreas Strömbergsson
openaire   +4 more sources

Lattice Correspondence and Growth Structures of Monoclinic Mg4Zn7 Phase Growing on an Icosahedral Quasicrystal

open access: yesCrystals, 2018
Mg 4 Zn 7 phase, with a monoclinic unit cell, a layered structure and a unique axis showing pseudo-tenfold symmetry, grows over icosahedral quasicrystalline phase in a manner similar to a decagonal quasicrystal.
Alok Singh, Julian M. Rosalie
doaj   +1 more source

Analytical Solution for a 1D Hexagonal Quasicrystal Strip with Two Collinear Mode-III Cracks Perpendicular to the Strip Boundaries

open access: yesCrystals, 2023
We considered the problem of determining the singular elastic fields in a one-dimensional (1D) hexagonal quasicrystal strip containing two collinear cracks perpendicular to the strip boundaries under antiplane shear loading. The Fourier series method was
Jing Yu, Junhong Guo
doaj   +1 more source

The Effect of Transition Metals on Quasicrystalline Phase Formation in Mechanically Alloyed Al65Cu20Fe15 Powder [PDF]

open access: yesArchives of Metallurgy and Materials, 2020
The effect of replacing iron with transition metals (M = Mn, Cr, Co) on the microstructure of mechanically alloyed Al65Cu20Fe15 quasicrystalline powder was examined by X-ray diffraction and transmission electron microscopy methods.
M. Mitka   +3 more
doaj   +1 more source

Interpretation of some Yb-based valence-fluctuating crystals as approximants to a dodecagonal quasicrystal

open access: yes, 2018
The hexagonal ZrNiAl-type (space group: P-62m) and the tetragonal Mo2FeB2-type (space group: P4/mbm) structures, which are frequently formed in the same Yb-based alloys and exhibit physical properties related to valence-fluctuation, can be regarded as ...
de Boissieu, Marc   +4 more
core   +2 more sources

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