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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

The ordered structure of MgO-ZnO alloy system is a versatile tunable optical material promising for diverse optoelectronic applications. However, isovalent and isostructural alloy compositions of MgO-ZnO are generally unstable at ambient…

Materials Science · Physics 2020-02-26 K. Aziz , C. E. Ekuma

A local and medium range atomic structure model for the face centred icosahedral (fci) Mg25Y11Zn64 alloy has been established in a sphere of r = 27 A. The model was refined by least squares techniques using the atomic pair distribution…

Materials Science · Physics 2007-05-23 S. Bruehne , E. Uhrig , C. Gross , W. Assmus , A. S. Masadeh , S. J. L. Billinge

Pseudobinary heterostructural alloys of ZnO with MgO or CdO are studied by composing the system locally of clusters with varying ratio of cations. We investigate fourfold (wurtzite structure) and sixfold (rocksalt structure) coordination of…

Materials Science · Physics 2010-06-18 A. Schleife , M. Eisenacher , C. Rödl , F. Fuchs , J. Furthmüller , F. Bechstedt

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

We resolve issues that have plagued reliable prediction of relative phase stability for solid-solutions and compounds. Due to its commercially important phase diagram, we showcase Al-Li system because historically density-functional theory…

Materials Science · Physics 2013-12-25 Aftab Alam , D. D. Johnson

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

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

Mechanisms that stabilize quasicrystals are much discussed but not finally resolved. We confirm the random tiling hypothesis and its predictions in a fully atomistic decagonal quasicrystal model by calculating the free energy and the phason…

Materials Science · Physics 2013-05-10 Alexander Kiselev , Michael Engel , Hans-Rainer Trebin

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

Properties of the $\omega$ structure are investigated for 27 transition elements from the viewpoints of thermodynamical and mechanical stability based on first-principles calculations. The thermodynamical stability of the $\omega$ structure…

Materials Science · Physics 2016-04-20 Yuji Ikeda , Isao Tanaka

We describe a way to obtain a two-dimensional quasiperiodic tiling with eight-fold symmetry using cold atoms. A series of such optical tilings, related by scale transformations, is obtained for a series of specific values of the chemical…

Quantum Gases · Physics 2016-09-29 Nicolas Macé , Anuradha Jagannathan , Michel Duneau

The intermetallic compound H (Mn$_7$Si$_2$V) phase in the Mn-Si-V alloy system can be regarded as an approximant phase of the dodecagonal quasicrystal as one of the two-dimensional quasicrystals. To understand the features of the…

Materials Science · Physics 2018-07-10 Kei Nakayama , Takumi Komatsuzaki , Yasumasa Koyama

In this work, we present the formation and characterization of a quaternary (pseudo ternary) icosahedral quasicrystal in Al65Ga5Pd17Mn13 alloy. The X ray diffraction and transmission electron microscopy confirmed the formation of…

Materials Science · Physics 2009-11-13 T. P. Yadav , M. A. Shaz , R. S. Tiwari , O. N. Srivastava

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

Surfaces in i-Al68Pd23Mn9 as observed with STM and LEED experiments show atomic terraces in a Fibonacci spacing. We analyze them in a bulk tiling model due to Elser which incorporates many experimental data. The model has dodecahedral…

Mathematical Physics · Physics 2009-10-31 Peter Kramer , Zorka Papadopolos , Harald Teuscher

Quasicrystals are aperiodically ordered solids that exhibit long-range order without translational periodicity, bridging the gap between crystalline and amorphous materials. Due to their lack of translational periodicity, information on…

Materials Science · Physics 2025-03-10 Tano Kim Kender , Marco Corrias , Cesare Franchini

Our understanding of physical properties of quasicrystals owes a great deal to studies of tight-binding models constructed on quasiperiodic tilings. Among the large number of possible quasiperiodic structures, two dimensional tilings are of…

Strongly Correlated Electrons · Physics 2025-07-01 Anuradha Jagannathan , Michel Duneau

Motivated by recent experimental findings, we investigate the possible occurrence and characteristics of quasicrystalline order in two-dimensional mixtures of point dipoles with two sorts of dipole moments. Despite the fact that the dipolar…

Other Condensed Matter · Physics 2009-11-10 Falk Scheffler , Philipp Maass , Johannes Roth , Holger Stark

A P-type icosahedral quasicrystal is formed in Au-Al-Yb alloy of which 6-dimensional lattice parameter a6D = 7.448 {\AA}. The composition of the quasicrystal was analyzed to be Au51Al34Yb15. This quasicrystal is formed in as-cast alloys,…

Materials Science · Physics 2015-05-27 Tsutomu Ishimasa , Yukinori Tanaka , Shiro Kashimoto