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A dodecagonal quasicrystal showing 12-fold symmetry forms in Mn-rich quaternary alloys containing 5.5 or 7.5 at.% Cr, 5.0 at.% Ni and 17.5 at.% Si. After annealing at 700 C for 130 h, the quasicrystal precipitated in a matrix of \b{eta}-Mn…

Materials Science · Physics 2016-02-17 Shuhei Iwami , Tsutomu Ishimasa

We interpret experimentally known B-Mg-Ru crystals as quasicrystal approximants. These approximant structures imply a deterministic decoration of tiles by atoms that can be extended quasiperiodically. Experimentally observed structural…

Materials Science · Physics 2009-11-10 M. Mihalkovič , M. Widom

The behaviour of two-dimensional patchy particles with 5 and 7 regularly-arranged patches is investigated by computer simulation. For higher pressures and wider patch widths, hexagonal crystals have the lowest enthalpy, whereas at lower…

Soft Condensed Matter · Physics 2012-03-22 Marjolein N. van der Linden , Jonathan P. K. Doye , Ard A. Louis

This paper presents a new highly stable periodic approximant to the Al-based F-type icosahedral quasicrystals, i-Al-Pd-TM (TM=transition metals). The structure of this intermetallic Al-Pd-Cr-Fe compound is determined ab initio using…

Materials Science · Physics 2013-04-23 Nobuhisa Fujita , Hikari Takano , Akiji Yamamoto , An-Pang Tsai

We report a novel kind of dodecagonal quasicrystal that has so far never been observed, nor theoretically predicted. It is composed of axially stacked hexagonal particle layers, with 12-fold rotational symmetry induced by 30 degrees…

Soft Condensed Matter · Physics 2015-04-16 Alfredo Metere , Peter Oleynikov , Mikhail Dzugutov , Sven Lidin

We incorporate realistic pair potential energies directly into a non-linear least-square fit of diffraction data to quantitatively compare structure models with experiment for the Ni-rich $d$(AlNiCo) quasicrystal. The initial structure…

Materials Science · Physics 2009-11-10 M. Mihalkovič , C. L. Henley , M. Widom

Aperiodic (quasicrystalline) tilings, such as Penrose's tiling, can be built up from e.g. kites and darts, squares and equilateral triangles, rhombi or shield shaped tiles and can have a variety of different symmetries. However, almost all…

Soft Condensed Matter · Physics 2022-10-17 Andrew J. Archer , Tomonari Dotera , Alastair M. Rucklidge

Exploring nonminimal-rank quasicrystals, which have symmetries that can be found in both periodic and aperiodic crystals, often provides new insight into the physical nature of aperiodic long-range order in models that are easier to treat.…

Soft Condensed Matter · Physics 2025-07-30 Sam Coates , Akihisa Koga , Toranosuke Matsubara , Ryuji Tamura , Hem Raj Sharma , Ronan McGrath , Ron Lifshitz

The electronic structures of hexagonal beta-Al9Mn3Si and phi-Al10Mn3 are investigated through self-consistent calculations carried out using the LMTO method. This ab-initio approach is combined with an analysis of a simplified hamiltonian…

Materials Science · Physics 2013-10-02 G. Trambly de Laissardiere

Decagonal quasiperiodic ordering of Sn thin film on $d$-Al-Ni-Co, is shown based on scanning tunneling microscopy (STM), low-energy electron diffraction and density functional theory (DFT). Interestingly, the decagonal structural…

We devise an ideal 3-dimensional octagonal quasicrystal that is based upon the 2-dimensional Ammann-Beenker tiling and that is potentially suitable for realization with patchy particles. Based on an analysis of its local environments we…

Soft Condensed Matter · Physics 2026-01-01 Akie Kowaguchi , Savan Mehta , Jonathan P. K. Doye , Eva G. Noya

Classical molecular dynamics simulation with embedded atom method potential had been performed to investigate the surface structure and solidification morphology of aluminum nanoclusters Aln (n = 256, 604, 1220 and 2048). It is found that…

Materials Science · Physics 2015-05-13 F. L. Tang , W. J. Lu , G. B. Chen , Y. Xie , W. Y. Yu

Atomic-resolution electron microscope images show that a quasicrystal is a quasiperiodic packing of clusters. The outer atomic shells of multi-shell clusters occuring in quasicrystals are highly symmetric and rather robust, but some…

Mathematical Physics · Physics 2009-11-11 Nicolae Cotfas

Context Mixed-metal clusters have long been studied because of their peculiar properties and how they change with cluster size, composition and charge state and their potential roles in catalysis. The characterization of these clusters is…

Chemical Physics · Physics 2024-04-30 Paulo H. Acioli

The AlPdMn quasicrystal approximants xi, xi', and xi'_n of the 1.6 nm decagonal phase and R, T, and T_n of the 1.2 nm decagonal phase can be viewed as arrangements of cluster columns on two-dimensional tilings. We substitute the tiles by…

Materials Science · Physics 2007-05-23 Michael Engel , Hans-Rainer Trebin

We explore the behavior of two-dimensional patchy colloidal particles with 8 or 10 symmetrically arranged patches by employing Monte-Carlo simulations. The particles interact according to an isotropic pair potential that possesses only one…

Soft Condensed Matter · Physics 2019-06-04 Anja Gemeinhardt , Miriam Martinsons , Michael Schmiedeberg

Quasicrystals are intriguing ordered structures characterized by the lack of translational symmetry and the existence of rotational symmetry. The tiling of different geometric units such as triangles and squares in two-dimensional space can…

Soft Condensed Matter · Physics 2024-10-11 Xin Wang , An-Chang Shi , Pingwen Zhang , Kai Jiang

Jellium model achieved great success in predicting stable clusters with closed electronic shells and zero spin. In order to explain the stability of open shell clusters, it is necessary to consider the case of non-degenerate energy levels.…

Materials Science · Physics 2022-09-30 Jin Liu , Zhi-Jie Yan , YI-Chao Jin , Meng Zhang

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…

Strongly Correlated Electrons · Physics 2018-08-01 Tsutomu Ishimasa , Marek Mihalkovič , Kazuhiko Deguchi , Noriaki K. Sato , Marc de Boissieu

In a recent Letter we proposed a means to realize a quasicrystal with eight-fold symmetry by trapping particles in an optical potential created by four lasers. The quasicrystals obtained in this way, which are closely related to the…

Statistical Mechanics · Physics 2014-03-05 Anuradha Jagannathan , Michel Duneau