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We apply systematic methods previously used by Mihalkovic et al. to predict the structure of the `basic' Co-rich modification of the decagonal Al70 Co20 Ni10 layered quasicrystal, based on known lattice constants and previously calculated…

Materials Science · Physics 2009-11-11 Nan Gu , C. L. Henley , M. Mihalkovic

We use energy minimization principles to predict the structure of a decagonal quasicrystal - d(AlCoNi) - in the Cobalt-rich phase. Monte Carlo methods are then used to explore configurations while relaxation and molecular dynamics are used…

Materials Science · Physics 2009-11-11 Nan Gu , M. Mihalkovic , C. L. Henley

One may predict a quasicrystal structure starting from electrons and quantum mechanics, as approximated by interatomic pair potentials calibrated with ab-initio total-energy calculations, combined with the experimentally known composition…

Condensed Matter · Physics 2007-05-23 Christopher L. Henley , Marek Mihalkovic , Michael Widom

We review our Al adsorption experiments on the tenfold-symmetry surface of the decagonal Al-Co-Ni quasicrystal and present computational simulations of adsorption on a structural model based on a fundamental Al-Co cluster with 20 \AA…

We investigate the high temperature decagonal quasicrystalline phase of Al$_{72}$Ni$_{20}$Co$_8$ using a quasilattice gas Monte-Carlo simulation. To avoid biasing towards a specific model we use an over-dense site list with a large fraction…

Materials Science · Physics 2007-05-23 S. Naidu , M. Mihalkovic , M. Widom

We consider a model decagonal quasicrystal of composition Al$_{80.1}$Co$_{19.9}$ -- closely related to actual structures, and using realistic pair potentials -- on a quasilattice of candidate sites. Its ground state, according to…

Materials Science · Physics 2008-09-02 Sejoon Lim , M. Mihalkovic , C. L. Henley

It is shown that the covering approach with a single decagonal prototile can be transformed into a hexagon, boat and star tiling. Particularly, the atomic decoration recently proposed by Cockayne and Widom (Phys. Rev. Lett. 81, 598 (1998))…

Materials Science · Physics 2007-05-23 Rolf Wittmann

A tile Hamiltonian (TH) replaces the actual atomic interactions in a quasicrystal with effective interactions between and within tiles. We study Al-Co-Ni and Al-Co-Cu decagonal quasicrystals described as decorated Hexagon-Boat-Star (HBS)…

Condensed Matter · Physics 2007-05-23 M. Widom , I. Al-Lehyani , M. Mihalkovic

We present new evidence supporting the quasi-unit cell description of the $Al_{72}Ni_{20}Co_{8}$ decagonal quasicrystal which shows that the solid is composed of repeating, overlapping decagonal cluster columns with broken 10-fold symmetry.…

Condensed Matter · Physics 2009-10-31 E. Abe , K. Saitoh , H. Takakura , A. P. Tsai , P. J. Steinhardt , H. -C. Jeong

In the Al-Co-Cu alloy system, both the decagonal quasicrystal with the space group of $P\overline{10}m2$ and its approximant Al$_{13}$Co$_4$ phase with monoclinic $Cm$ symmetry are present around 20 at.% Co-10 at.% Cu. In this study, we…

Materials Science · Physics 2016-10-13 K. Nakayama , A. Mizutani , Y. Koyama

The occurrence of stable decagonal quasicrystalline phase in Al-Co-Ni and Al-Cu-Co alloys through conventional solidification is well established. Earlier, we have studied the effect of Cu substitution in place of Co in the Al70 Co15Ni15…

Materials Science · Physics 2007-05-23 T. P. Yadav , N. K. Mukhopadhyay , R. S. Tiwari , O. N. Srivastava

Quasicrystals are metal alloys whose noncrystallographic symmetry and lack of structural periodicity challenge methods of experimental structure determination. Here we employ quantum-based total-energy calculations to predict the structure…

Condensed Matter · Physics 2016-08-16 M. Mihalkovič , I. Al-Lehyani , E. Cockayne , C. L. Henley , N. Moghadam , J. A. Moriarty , Y. Wang , M. Widom

Atomic structures of Al-Co-Cu decagonal quasicrystals (QCs) are investigated using empirical oscillating pair potentials (EOPP) in molecular dynamic (MD) simulations that we enhance by Monte Carlo (MC) swapping of chemical species and…

Materials Science · Physics 2024-04-23 Y. Huang , M. Widom , M. Mihalkovič

Growth and structures of crystals in the model of Al obtained in results of isothermal annealing after quick cooling to certain temperatures are studied by the method of molecular dynamics applying the known potential of EAM type. The…

Materials Science · Physics 2014-03-27 A. S. Prokhoda , A. M. Ovrutsky

We discover the detailed atomic structure of $d$-MgZnY, a stable decagonal quasicrystal alloy of the layered Frank-Kasper type, and related phases, using the "tiling and decoration" approach. The atoms have invariable sites in the rectangle…

Materials Science · Physics 2011-12-19 M. Mihalkovic , C. L. Henley , J. Richmond-Decker , M. Oxborrow

The dodecagonal quasicrystal classified into the five-dimensional space group P126/mmc, recently discovered in a Mn-Cr-Ni-Si alloy, has been analyzed using atomic-resolution spherical aberration-corrected electron microscopy, i.e.…

Materials Science · Physics 2016-02-17 Tsutomu Ishimasa , Shuhei Iwami , Norihito Sakaguchi , Ryo Oota , Marek Mihalkovic

The detailed atomic structure of quasicrystals has been an open question for decades. Here, we present a quasilattice-conserved optimization method (quasiOPT), with particular quasiperiodic boundary conditions. As the atomic coordinates…

Materials Science · Physics 2015-06-23 Xiao-Tian Li , Xiao-Bao Yang , Yu-Jun Zhao

Single cluster covering approach provides a plausible mechanism for the formation and stability of octagonal and decagonal quasiperiodic structures. For dodecagonal quasiperiodic pattern such a single cluster covering scheme is still…

Other Condensed Matter · Physics 2015-06-11 Longguang Liao , Zexian Cao

The atomic structure of the icosahedral Ti-Zr-Ni quasicrystal is determined by invoking similarities to periodic crystalline phases, diffraction data and the results from ab initio calculations. The structure is modeled by decorations of…

Materials Science · Physics 2009-11-07 R. G. Hennig , K. F. Kelton , A. E. Carlsson , C. L. Henley

We propose a means to realize two-dimensional quasiperiodic structures by trapping atoms in an optical potential. The structures have eight-fold symmetry and are closely related to the well-known quasiperiodic octagonal (Ammann-Beenker)…

Quantum Gases · Physics 2013-12-18 Anuradha Jagannathan , Michel Duneau
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