title: Cluster growing process and a sequence of magic numbers.
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.
authors.affiliation: Institut für Theoretische Physik der Universität Frankfurt am Main, Robert-Mayer strasse 8-10, Germany 60054. solovyov@th.physik.uni-frankfurt.de
authors.forename: Ilia A
authors.initials: IA
authors.lastname: Solov'yov
authors.forename: Andrey V
authors.initials: AV
authors.lastname: Solov'yov
authors.forename: Walter
authors.initials: W
authors.lastname: Greiner
authors.forename: Andrey
authors.initials: A
authors.lastname: Koshelev
authors.forename: Andrey
authors.initials: A
authors.lastname: Shutovich