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Structural studies on the icosahedral quasicrystals in Zn-Mg-Sc, Cu-Ga-Mg-Sc, and Zn-Mg-Ti alloys as well as their corresponding 1/1 cubic approximants, have revealed that these quasicrystals belong to a new structural group similar to…

Materials Science · Physics 2009-11-10 Tsutomu Ishimasa , Yasushi Kaneko , Hiroshi Kaneko

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

The discovery of quasicrystals has changed our view of some of the most basic notions related to the condensed state of matter. Before the age of quasicrystals, it was believed that crystals break the continuous translation and rotation…

Materials Science · Physics 2012-03-02 Ron Lifshitz

In solid state systems, group representation theory is powerful in characterizing the behavior of quasiparticles, notably the energy degeneracy. While conventional group theory is effective in answering yes-or-no questions related to…

Materials Science · Physics 2024-07-12 Jiayu Li , Ao Zhang , Yuntian Liu , Qihang Liu

Quasicrystals are frequently encountered in condensed matter. They are important candidates for equilibrium phases from the atomic scale to the nanoscale. Here, we investigate the computational self-assembly of four quasicrystals in a…

Materials Science · Physics 2017-06-26 Pablo F. Damasceno , Sharon C. Glotzer , Michael Engel

Due to the lack of long-range order, it remains challenging to characterize the structure of disordered solids and understand the nature of the glass transition. Here we propose a new structural order parameter by taking into account…

Soft Condensed Matter · Physics 2024-08-26 Ding Xu , Qinyi Liao , Ning Xu

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

The self-assembly of two-dimensional dodecagonal quasicrystal (DDQC) from patchy particles are investigated by Brownian dynamics simulations. The patchy particle has a five-fold rotational symmetry pattern described by the spherical…

Soft Condensed Matter · Physics 2025-02-21 Uyen Tu Lieu , Natsuhiko Yoshinaga

The second order optical response of centrosymmetric materials manifests itself mostly at their surface, being strongly suppressed in their bulk. However, the overall surface response is also suppressed in nanoparticles with a…

Optics · Physics 2021-09-22 Raksha Singla , W. Luis Mochán

We examine the structure of compact metal nanoparticles (NPs) forming polyhedral sections of face centered (fcc) and body centered (bcc) cubic lattices, which are confined by facets characterized by highly dense {100}, {110}, and {111}…

Atomic and Molecular Clusters · Physics 2022-03-21 Klaus E. Hermann

Using a strategy that may be applied in theory or in experiments, we identify the regime in which a model binary soft matter mixture forms quasicrystals. The system is described using classical density functional theory combined with…

Soft Condensed Matter · Physics 2021-01-22 A. Scacchi , W. R. C. Somerville , D. M. A. Buzza , A. J. Archer

We describe results of measurements of the orientational motion of glass microrods in a microchannel flow, following the orientational motion of particles with different shapes. We determine how the orientational dynamics depends on the…

Fluid Dynamics · Physics 2016-01-21 J. Einarsson , B. M. Mihiretie , A. Laas , S. Ankardal , J. R. Angilella , D. Hanstorp , B. Mehlig

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 argue that 2D dodecagonal spherical quasicrystalls (QCs) will be discovered in the nearest future and investigate how the planar QC order becomes compatible with the spherical geometry. We show that the appearance of curvature-induced…

Soft Condensed Matter · Physics 2014-09-08 I. A. Shevchenko , O. V. Konevtsova , S. B. Rochal

Spontaneous self-assembly of hard convex polyhedra are known to form orientationally disordered crystalline phases, where particle orientations do not follow the same pattern as the positional arrangement of the crystal. A distinct type of…

Soft Condensed Matter · Physics 2024-12-02 Sumitava Kundu , Kaustav Chakraborty , Avisek Das

Starting from the Zn17Sc3 cubic approximant, new quasicrystal alloys were searched by replacement of Zn with transition elements, T. In the cases of T=Mn, Fe, Co and Ni, new icosahedral quasicrystals are formed in as-cast alloys as major…

Materials Science · Physics 2009-11-10 Ryo Maezawa , Shiro Kashimoto , Tsutomu Ishimasa

In this paper, a technique for constructing quasiperiodic structures is suggested, which allows one by the assigned matching to restore the atoms density distribution formula of a corresponding quasicrystal. The algorithm to restore the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Vadim Gulyaev

Quasicrystals (QCs) are a class of aperiodic ordered structures that emerge in various systems, from metallic alloys to soft matter and driven non-equilibrium systems. Within a mesoscale theory based on slowly-varying complex amplitudes for…

Materials Science · Physics 2025-09-12 Marcello De Donno , Luiza Angheluta , Marco Salvalaglio

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

Nanocrystalline n-AlO(OH) (Disperal P2(R) of Sasol) was investigated by means of the atomic pair distribution function (PDF). The PDF is derived from powder diffraction data, an ideally resolved PDF is obtained from a synchrotron source…

Materials Science · Physics 2008-04-24 Stefan Bruehne , Saskia Gottlieb , Wolf Assmus , Edith Alig , Martin U. Schmidt