dorsal/arxiv
View SchemaFusion process of Lennard-Jones clusters: global minima and magic numbers formation
| Authors | Ilia A. Solovyov, Andrey V. Solovyov, Walter Greiner |
|---|---|
| Categories | |
| ArXiv ID | physics/0306185 |
| URL | https://arxiv.org/abs/physics/0306185 |
Abstract
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 find cluster growing paths up to the cluster sizes of up to 150 atoms. We demonstrate that in this way all known global minima structures of the LJ-clusters can be found. Our method provides an efficient tool for the calculation and analysis of atomic cluster structure. With its use we justify the magic number sequence for the clusters of noble gas atoms and compare it with experimental observations. We report the striking correspondence of the peaks in the dependence on cluster size of the second derivative of the binding energy per atom calculated for the chain of LJ-clusters based on the icosahedral symmetry with the peaks in the abundance mass spectra experimentally measured for the clusters of noble gas atoms. Our method serves an efficient alternative to the global optimization techniques based on the Monte-Carlo simulations and it can be applied for the solution of a broad variety of problems in which atomic cluster structure is important.
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"abstract": "We present a new theoretical framework for modelling the fusion process of\nLennard-Jones (LJ) clusters. Starting from the initial tetrahedral cluster\nconfiguration, adding new atoms to the system and absorbing its energy at each\nstep, we find cluster growing paths up to the cluster sizes of up to 150 atoms.\nWe demonstrate that in this way all known global minima structures of the\nLJ-clusters can be found. Our method provides an efficient tool for the\ncalculation and analysis of atomic cluster structure. With its use we justify\nthe magic number sequence for the clusters of noble gas atoms and compare it\nwith experimental observations. We report the striking correspondence of the\npeaks in the dependence on cluster size of the second derivative of the binding\nenergy per atom calculated for the chain of LJ-clusters based on the\nicosahedral symmetry with the peaks in the abundance mass spectra\nexperimentally measured for the clusters of noble gas atoms. Our method serves\nan efficient alternative to the global optimization techniques based on the\nMonte-Carlo simulations and it can be applied for the solution of a broad\nvariety of problems in which atomic cluster structure is important.",
"arxiv_id": "physics/0306185",
"authors": [
"Ilia A. Solovyov",
"Andrey V. Solovyov",
"Walter Greiner"
],
"categories": [
"physics.atm-clus",
"physics.chem-ph"
],
"title": "Fusion process of Lennard-Jones clusters: global minima and magic numbers formation",
"url": "https://arxiv.org/abs/physics/0306185"
},
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