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Related papers: Icosahedra boron chain and sheets: new boron allot…

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Carbon is the most important chemical element and the theoretical study of its new allotropes can be of great interest. In this study, regular dodecahedron (dodecahedrane) oligomers (n = 1, 3, 5, 7, 9, 11, 13) by extending the dodecahedrane…

Computational Physics · Physics 2023-11-14 Siavash Hasanvandi , Elham Neisi , José M. De Sousa

Recent discoveries of supposedly pure alpha-tetragonal boron require to revisit its structure. The system is also interesting with respect to a new type of geometrical frustration in elemental crystals, which was found in beta-rhombohedral…

Materials Science · Physics 2016-03-23 Naoki Uemura , Koun Shirai , Hagen Eckert , Jens Kunstmann

Through the use of perturbation theory, in this work we develop a method which allows for a substantial reduction in the size of the plane-wave basis used in density-functional calculations. This method may be used for both pseudopotentials…

Materials Science · Physics 2016-08-31 D. E. Segall , T. A. Arias

We investigate the structure of 13-particle clusters in binary alloys for various size ratios and different concentrations via MD simulation. Our goal is to predict which systems are likely to form local icosahedral structures when rapidly…

Condensed Matter · Physics 2007-05-23 Stefano Cozzini , Marco Ronchetti

Boron clusters have been widely studied theoretically for their geometrical properties and electronic structure using a variety of methodologies. An important cluster of boron is the B$_{12}$ cluster whose two main isomers have distinct…

Atomic and Molecular Clusters · Physics 2009-12-23 Sridhar Sahu , Alok Shukla

Based on crystal chemistry rationale and calculations within the density functional theory DFT, the U:B system is complemented with additional binary compounds UB3, U2B6, and UB6 possessing two-dimensional 2D and 3D boron substructures.…

Materials Science · Physics 2020-02-18 Samir F. Matar

Icosahedral Au clusters with three and four shells of atoms are found to deviate significantly from the commonly assumed Mackay structures. By introducing additional atoms in the surface shell and creating a vacancy in the center of the…

Computational Physics · Physics 2022-04-01 Jan Kloppenburg , Andreas Pedersen , Kari Laasonen , Miguel A. Caro , Hannes Jónsson

We present a comprehensive first-principles investigation of boron fullerenes and two-dimensional boron sheets, unified under a coordination-based framework. By classifying over a dozen boron nanostructures, including B$_{12}$, B$_{40}$,…

Materials Science · Physics 2025-07-10 Nevill Gonzalez Szwacki

We use density functional theory to quantify finite size and shape effects for gold nanoclusters. We concentrate on the computation of binding energy as a function of bond length for icosahedral and cuboctohedral clusters. We find that the…

Mesoscale and Nanoscale Physics · Physics 2009-12-31 Michael McGuigan , J. W. Davenport

It is well known that the point group of the root lattice D_6 admits the icosahedral group as a maximal subgroup. The generators of the icosahedral group H_3, its roots and weights are determined in terms of those of D_6. Platonic and…

Metric Geometry · Mathematics 2020-12-14 Abeer Al-Siyabi , Nazife Ozdes Koca , Mehmet Koca

The subcarbides B12C3 and B13C2 known for their abrasive properties, can be structurally considered as carbon inserted rhombohedral alpha-B12 and expressed as B12{C-C-C} and B12(C-B-C). Using density functional theory DFT computations, the…

Materials Science · Physics 2021-04-07 Samir F. Matar

In this work, we foresee the structure of a new class of borophenes with smaller 2D densities of atoms than those explored so far for 2D boron crystals. Boron atoms in the porous borophenes tend to be $5$-coordinated in contrast to commonly…

Materials Science · Physics 2021-11-25 T. Tarkowski , M. Marchwiany , N. Gonzalez Szwacki

Theoretical predictions of pressure-induced phase transformations often become long-standing enigmas because of limitations of contemporary available experimental possibilities. Hitherto the existence of a non-icosahedral boron allotrope…

Boron Carbide exhibits a broad composition range, implying a degree of intrinsic substitutional disorder. While the observed phase has rhombohedral symmetry (space group R3(bar)m), the enthalpy minimizing structure has lower, monoclinic,…

Materials Science · Physics 2017-07-04 Sanxi Yao , W. P. Huhn , M. Widom

We examine the behaviour of hydrogen ions, atoms and molecules in alpha-boron using density functional calculations. Hydrogen behaves as a negative-U centre, with positive H ions preferring to sit off-center on inter-layer bonds and…

A novel carbon allotrope, hexagonal C12, is proposed from crystal chemistry and quantum density functional theory DFT calculations of ground state and physical properties. The structure exhibits corner sharing distorted tetrahedra with the…

Materials Science · Physics 2023-06-16 Samir F. Matar

By means of variable-composition evolutionary algorithm coupled with density functional theory and in combination with aberration-corrected high-resolution transmission electron microscopy experiments, we have studied and characterized the…

Boron bulk crystals are marked by exceptional structural complexity and unusual related physical phenomena. Recent reports of hydrogenated $\alpha$-tetragonal and a new $\delta$-orthorhombic boron B$_{52}$ phase have raised many fundamental…

Materials Science · Physics 2019-11-11 Naoki Uemura , Koun Shirai , Jens Kunstmann , Evgeny A. Ekimov , Yuliya B. Lebed

{\gamma}-B28 is a recently established high-pressure phase of boron. Its structure consists of icosahedral B12 clusters and B2 dumbbells in a NaCl-type arrangement (B2){\delta}+(B12){\delta}- and displays a significant charge transfer…

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