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Quasi-crystals are aperiodic structures that present crystallographic properties which are not compatible with that of a single unit cell. Their revolutionary discovery in a metallic alloy, less than three decades ago, has required a full…

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 present a new complementary strategy to quasicrystalline structure determination: The local atomic structure of simple icosahedral (si) Ho11Mg15Zn74 [a(6D)=5.144(3)A] in a sphere of up to r=17A was refined using the atomic pair…

Materials Science · Physics 2007-05-23 S. Bruehne , E. Uhrig , C. Gross , W. Assmus

We identify several new quasicrystal approximants in alloy systems in which quasicrystals have not been previously reported. Some occur in alloys with large size contrast between the constituent elements, either containing small Boron…

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

The growth of quasicrystals, i.e., aperiodic structures with long-range order, seeded from the melt is investigated using a dynamical phase field crystal model. Depending on the thermodynamic conditions, two different growth modes are…

Soft Condensed Matter · Physics 2014-07-31 C. V. Achim , M. Schmiedeberg , H. Löwen

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

We investigate quasicrystal-forming soft matter using a two-scale phase field crystal model. At state points near thermodynamic coexistence between bulk quasicrystals and the liquid phase, we find multiple metastable spatially localized…

Pattern Formation and Solitons · Physics 2019-04-19 P. Subramanian , A. J. Archer , E. Knobloch , A. M. Rucklidge

The relative stability of three-dimensional icosahedral quasicrystals in multi-component systems has been investigated based on a coupled-mode Swift-Hohenberg model with two-length-scales. A recently developed projection method, which…

Soft Condensed Matter · Physics 2020-01-08 Kai Jiang , Wei Si

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

Intermetallic precipitates formed in heat-treated and aged Mg-Zn and Mg-Zn-Y alloys have been investigated via electron microscopy. Coarse spheroidal precipitates formed on deformation twin boundaries contained domains belonging to either…

Materials Science · Physics 2012-04-18 Julian M. Rosalie , Hidetoshi Somekawa , Alok Singh , Toshiji Mukai

The observation recently of 12-fold quasicrystals in polymers, nanoparticle mixture and 12-fold and 18-fold quasicrystals in colloidal solutions are important events for the study of quasicrystals. To describe the mechanical behaviour we…

Soft Condensed Matter · Physics 2012-10-08 Tian You Fan

The stability of a quasicrystalline structure, recently obtained in a molecular-dynamics simulation of rapid cooling of a binary melt, is analyzed for binary hard-sphere mixtures within a density-functional approach. It is found that this…

Materials Science · Physics 2017-02-08 H. M. Cataldo

A structure analysis of Zn-Mg-Ho icosahedral quasicrystal was carried out by the powder X-ray diffraction method using synchrotron radiation (Lambda=0.73490 A) at SPring-8. The intensity distribution was analyzed by the Rietveld method…

Alloy formation in ScGaN is explored using rf molecular beam epitaxy over the Sc fraction range x = 0-100%. Optical and structural analysis show separate regimes of growth, namely I) wurtzite-like but having local lattice distortions in the…

Other Condensed Matter · Physics 2009-11-10 Costel Constantin , Hamad Al-Brithen , Muhammad B. Haider , David Ingram , Arthur R. Smith

Designing particles that are able to form icosahedral quasicrystals (IQCs) and that are as simple as possible is not only of fundamental interest but is also important to the potential realization of IQCs in materials other than metallic…

Soft Condensed Matter · Physics 2025-05-02 Eva G. Noya , Jonathan P. K. Doye

The influence of geometry on the local and global packing of particles is important to many fundamental and applied research themes such as the structure and stability of liquids, crystals and glasses. Here, we show by experiments and…

Quasicrystals, realized in metal alloys, are a class of lattices exhibiting symmetries that fall outside the usual classification for periodic crystals. They do not have translational symmetry and yet the lattice points are well ordered.…

Optics · Physics 2009-11-13 Jun Xu , Rui Ma , Xia Wang , Wing Yim Tam

While performing molecular dynamics simulations of a simple monatomic liquid, we observed the crystallization of a material displaying octagonal symmetry in its simulated diffraction pattern. Inspection of the atomic arrangements in the…

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

We report the in situ formation of an ordered equilibrium decagonal Al-Pd-Mn quasicrystal overlayer on the 5-fold symmetric surface of an icosahedral Al-Pd-Mn monograin. The decagonal structure of the epilayer is evidenced by x-ray…

Disordered Systems and Neural Networks · Physics 2009-11-07 D. Naumovic , P. Aebi , L. Schlapbach , C. Beeli , K. Kunze , T. A. Lograsso , D. W. Delaney