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A new atomic cluster structure corresponding to the global minimum of the 98-atom Lennard-Jones cluster has been found using a variant of the basin-hopping global optimization algorithm. The new structure has an unusual tetrahedral symmetry…

Condensed Matter · Physics 2007-05-23 Robert Leary , Jonathan Doye

By studying the structures of clusters bound by a model potential that favours polytetrahedral order, we find a previously unknown series of `magic numbers' (i.e. sizes of special stability) whose polytetrahedral structures are…

Condensed Matter · Physics 2007-05-23 Jonathan Doye , David Wales

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

Magic numbers predicted by a 3-dimensional q-deformed harmonic oscillator with Uq(3) > SOq(3) symmetry are compared to experimental data for alkali metal clusters, as well as to theoretical predictions of jellium models, Woods--Saxon and…

Quantum Physics · Physics 2009-10-31 Dennis Bonatsos , N. Karoussos , P. P. Raychev , R. P. Roussev , P. A. Terziev

Using the Embedded Atom Method as developed by Voter and Chen in combination with the {\it variable metric/quasi-Newton} and our own {\it Aufbau/Abbau} methods, we have identified the three most stable isomers of Au$_N$ clusters with $N$ up…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Denitsa Alamanova , Valeri G. Grigoryan , Michael Springborg

We have located the global minimum for all lead clusters with up to 160 atoms using a glue potential to model the interatomic interactions. The lowest-energy structures are not face-centred cubic as suggested previously. Rather, for N<40…

Condensed Matter · Physics 2007-05-23 Jonathan P. K. Doye , Shaun C. Hendy

Magic numbers in finite particle systems correspond to specific system sizes that allow configurations with low free energy, often exhibiting closed surface shells to maximize the number of nearest neighbors. Since their discovery in atomic…

We present a new theoretical framework for modelling the cluster growing process. Starting from the initial tetrahedral cluster configuration, adding new atoms to the system and absorbing its energy at each step, we find cluster growing…

Atomic and Molecular Clusters · Physics 2007-05-23 A. Koshelev , A. Shutovich , Il. A. Solov'yov , A. V. Solov'yov , W. Greiner

Putative global minima of sodium clusters with up to 380 atoms have been located for two model interatomic potentials. Structures based upon the Mackay icosahedra predominate for both potentials, and the magic numbers for the…

Other Condensed Matter · Physics 2007-06-13 Eva G. Noya , Jonathan P. K. Doye , David J. Wales

In this paper we propose a tight-binding molecular dynamics with parameters fitted to first-principles calculations on the smaller clusters and with an environment correction, to be a powerful technique for studying large transition/noble…

Atomic and Molecular Clusters · Physics 2009-11-10 Mukul Kabir , Abhijit Mookerjee , A. K. Bhattacharya

We study the structure and energetics of Au$_N$ clusters by means of parameter-free density-functional calculations ($N\le 8$), jellium calculations ($N\le 60$), embedded-atom calculations ($N\le 150$), and parameterized density-functional…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Denitsa Alamanova , Yi Dong , Habib ur Rehman , Michael Springborg , Valeri G. Grigoryan

We present a new theoretical framework for modelling the fusion process of Lennard-Jones (LJ) clusters. Starting from the initial tetrahedral cluster configuration, adding new atoms to the system and absorbing its energy at each step, we…

Atomic and Molecular Clusters · Physics 2009-09-29 Ilia A. Solovyov , Andrey V. Solovyov , Walter Greiner

We studied the structural and the electronic properties of ionized and neutral small Au clusters via plane wave pseudopotential calculations. All except the anionic heptamer favor one-dimensional zigzag structures or two-dimensional…

Materials Science · Physics 2016-02-17 Byeong June Min , Won Chul Shin , Jae Ik Park

We have investigated the lowest-energy structures and electronic properties of the Au$_n$(n=2-20) clusters based on density functional theory (DFT) with local density approximation. The small Au$_n$ clusters adopt planar structures up to…

Atomic and Molecular Clusters · Physics 2009-11-07 Jinlan Wang , Guanghou Wang , Jijun Zhao

In nuclear physics a magic number is defined as the nucleon number, which is separated by a significantly large single-particle energy gap from the next nucleon. Magic numbers define the nuclear shells, which are considered to be active,…

Nuclear Theory · Physics 2019-09-04 Andriana Martinou , Dennis Bonatsos

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

Putative global minima have been located for clusters interacting with an aluminium glue potential for N<190. Virtually all the clusters have polytetrahedral structures, which for larger sizes involve an ordered array of disclinations that…

Condensed Matter · Physics 2007-05-23 Jonathan P. K. Doye

We introduce Magic Gems, a geometric representation of magic squares as three-dimensional polyhedra. By mapping an n times n magic square onto a centered coordinate grid with cell values as vertical displacements, we construct a point cloud…

Combinatorics · Mathematics 2025-12-30 Kyle Elliott Mathewson

Using the basin-hopping Monte Carlo minimization approach we report the global minima for aluminium, gold and platinum metal clusters modelled by the Voter-Chen version of the embedded-atom model potential containing up to 80 atoms. The…

Atomic and Molecular Clusters · Physics 2009-11-10 Ali Sebetci , Ziya B. Guvenc

The geometric and electronic structures of NaN, CuN, and AgN metal clusters are systematically studied based on the density functional theory over a wide range of cluster sizes 2=<N=<75. A remarkable similarity is observed between the…

Materials Science · Physics 2015-05-13 Masahiro Itoh , Vijay Kumar , Tadafumi Adschiri , Yoshiyuki Kawazoe
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