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Cluster growing process and a sequence of magic numbers.

Ilia A Solov'yov1, Andrey V Solov'yov, Walter Greiner

  • 1Institut für Theoretische Physik der Universität Frankfurt am Main, Robert-Mayer strasse 8-10, Germany 60054. solovyov@th.physik.uni-frankfurt.de

Physical Review Letters
|March 14, 2003
PubMed
Summary

We developed a new method to model atomic cluster growth, successfully identifying global minimum structures for Lennard-Jones clusters. This approach explains magic numbers in noble gas clusters, aligning with experimental data.

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Area of Science:

  • Computational Physics
  • Materials Science
  • Chemical Physics

Background:

  • Understanding atomic cluster formation is crucial for materials science.
  • Predicting stable cluster structures, especially global minima, remains a challenge.
  • Lennard-Jones (LJ) clusters are model systems for studying interatomic interactions.

Purpose of the Study:

  • To introduce a novel theoretical framework for modeling the cluster growing process.
  • To efficiently determine global minimum structures of atomic clusters.
  • To explain the origin of magic numbers in noble gas clusters.

Main Methods:

  • Simulating cluster growth from an initial tetrahedral configuration.
  • Incorporating energy absorption at each step of atom addition.

Related Experiment Videos

  • Calculating cluster growing paths up to over 100 atoms.

    • Main Results:

    • All known global minimum structures for Lennard-Jones clusters were successfully identified.
    • The method provides an efficient tool for atomic cluster structure calculation and analysis.
    • The magic number sequence for noble gas clusters was justified.

    Conclusions:

    • The proposed theoretical framework is effective for modeling atomic cluster growth.
    • The method accurately predicts stable cluster structures and explains observed phenomena.
    • Results align with experimental observations of noble gas clusters.