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A sphere packing of the three-dimensional Euclidean space is compact if it has only tetrahedral holes, that is, any local maximum of the distance to the spheres is at equal distance to exactly four spheres. This papers describes all the…

Metric Geometry · Mathematics 2019-12-06 Thomas Fernique

In this contribution, we present evidence for the occurrence of triangular symmetry in cluster nuclei. We discuss the structure of rotational bands for 3-alpha and 3-alpha+1 configurations with triangular D(3h) symmetry by exploiting the…

Nuclear Theory · Physics 2021-02-03 R. Bijker , A. H. Santana-Valdés

Packing problems, which ask how to arrange a collection of objects in space to meet certain criteria, are important in a great many physical and biological systems, where geometrical arrangements at small scales control behaviour at larger…

Soft Condensed Matter · Physics 2016-05-23 Miranda C. Holmes-Cerfon

Nuclear pores have an approximately uniform distribution in the nuclear envelope of most living cells. Hence, the morphology of the nuclear envelope is a spherical stomatocyte with a high genus. We have investigated the morphology of…

Soft Condensed Matter · Physics 2016-08-25 Hiroshi Noguchi

In situ morphological investigation of the {105} faceted Ge islands on the Si(001) surface (hut clusters) have been carried out using an ultra high vacuum instrument integrating a high resolution scanning tunnelling microscope and a…

Materials Science · Physics 2010-06-01 Larisa V Arapkina , Vladimir A Yuryev

Using pair potentials fitted to an ab--initio database, combined with replica--exchange simulated annealing, we show the complex, quasicrystal-related Al$_{11}$Ir$_4$ compound contains a new version of the "pseudo-Mackay" icosahedral…

Materials Science · Physics 2012-06-26 Marek Mihalkovič , C. L. Henley

In this paper, using the same geometrical approach than for the (2R3x2R3) R30{\deg} structure (H. Jamgotchian et al., 2015, Journal of Physics. Condensed Matter 27 395002), for the (R13xR13)R13.9{\deg} type II structure, we propose an…

Materials Science · Physics 2016-05-25 H. Jamgotchian , B. Ealet , H. Maradj , J. -Y. Hoarau , J. -P. Biberian , B. Aufray

An analysis of the structural properties of three-dimensional Coulomb clusters confined in a spherical parabolic trap is presented. Based on extensive high accuracy computer simulations the shell configurations and energies for particle…

Plasma Physics · Physics 2007-07-29 P. Ludwig , S. Kosse , M. Bonitz

We present new atomistic models of amorphous silicon (a-Si) and hydrogenated amorphous silicon (a-Si:H) surfaces. The a-Si model included 4096 atoms and was obtained using local orbital density functional theory. By analyzing a slab model…

Materials Science · Physics 2025-06-24 Kishor Nepal , Aashish Gautam , Chinonso Ugwumadu , David Drabold

Single-crystal nanoparticles of silicon, several tens of nm in diameter, may be suitable as building blocks for single-nanoparticle electronic devices. Previous studies of nanoparticles produced in low-pressure plasmas have demonstrated the…

Density-functional theory based global geometry optimization is employed to systematically scrutinize the possibility of multi-doping of hydrogenated Si clusters in order to achieve high spin states beyond the septet limit of a single-atom…

Materials Science · Physics 2013-07-26 Dennis Palagin , Tobias Teufl , Karsten Reuter

Fundamental theories and models of many-body physics can be probed in experiments on ultracold atoms held in place by electromagnetic fields. In particular, of considerable interest are systems under curved confinement, since they can yield…

Quantum Gases · Physics 2026-03-06 Fabio Cinti , Matteo Ciardi , Santi Prestipino , Giuseppe Pellicane

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

We present new evidence supporting the quasi-unit cell description of the $Al_{72}Ni_{20}Co_{8}$ decagonal quasicrystal which shows that the solid is composed of repeating, overlapping decagonal cluster columns with broken 10-fold symmetry.…

Condensed Matter · Physics 2009-10-31 E. Abe , K. Saitoh , H. Takakura , A. P. Tsai , P. J. Steinhardt , H. -C. Jeong

An earlier paper describes a program to prove the Kepler conjecture on sphere packings. This paper carries out the second step of that program. A sphere packing leads to a decomposition of $R^3$ into polyhedra. The polyhedra are divided…

Metric Geometry · Mathematics 2007-05-23 Thomas C. Hales

We propose a new approach to analysis of cathodoluminescence spectra of substrate-free nanoclusters of argon produced in a supersonic jet expanding into a vacuum. It is employed to analyze intensities of the luminescence bands of neutral…

Atomic and Molecular Clusters · Physics 2016-01-28 Yu. S. Doronin , V. L. Vakula , G. V. Kamarchuk , A. A. Tkachenko , V. N. Samovarov

Silica or SiO$_2$, the main constituent of earth's rocks has several 3D complex crystalline and amorphous phases, but it does not have a graphite like layered structure in 3D. Our theoretical analysis and numerical calculations from the…

Mesoscale and Nanoscale Physics · Physics 2014-06-24 V. Ongun Özçelik , S. Cahangirov , S. Ciraci

We have attempted to find the global minima of clusters containing between 20 and 80 atoms bound by the Morse potential as a function of the range of the interatomic force. The effect of decreasing the range is to destabilize strained…

Condensed Matter · Physics 2008-02-03 Jonathan Doye , David Wales

Owing to the natural compatibility with current semiconductor industry, silicon allotropes with diverse structural and electronic properties provide promising platforms for the next-generation Si-based devices. After screening 230…

Materials Science · Physics 2018-10-30 Zhifeng Liu , Hongli Xin , Li Fu , Yingqiao Liu , Tielei Song , Xin Cui , Guojun Zhao , Jijun Zhao

We have studied the packing of congruent disks on a spherical cap, for caps of different size and number of disks, $N$. This problem has been considered before only in the limit cases of circle packing inside a circle and on a sphere…

Soft Condensed Matter · Physics 2024-08-23 Paolo Amore