Cluster Growing Process and a Sequence of Magic Numbers

Ilia A. Solov’yov, Andrey V. Solov’yov, Walter Greiner, Andrey Koshelev, and Andrey Shutovich
Phys. Rev. Lett. 90, 053401 – Published 5 February 2003

Abstract

We present a new theoretical framework for modeling 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 paths up to the cluster sizes of more than 100 atoms. We demonstrate that in this way all known global minimum structures of the Lennard-Jones (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.

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  • Received 22 July 2002

DOI:https://doi.org/10.1103/PhysRevLett.90.053401

©2003 American Physical Society

Authors & Affiliations

Ilia A. Solov’yov*, Andrey V. Solov’yov*, and Walter Greiner

  • Institut für Theoretische Physik der Universität Frankfurt am Main, Robert-Mayer strasse 8-10, Frankfurt am Main, Germany 60054

Andrey Koshelev and Andrey Shutovich

  • A.F. Ioffe Physical-Technical Institute, Politechnicheskaya 26, 194021 St. Petersburg, Russia

  • *Permanent address: A.F. Ioffe Physical-Technical Institute of the Russian Academy of Sciences, Polytechnicheskaya 26, St. Petersburg, Russia 194021. Email address: solovyov@th.physik.uni-frankfurt.de

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Issue

Vol. 90, Iss. 5 — 7 February 2003

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