English

Orbits in Large Aluminum Clusters: Five-Pointed Stars

Mesoscale and Nanoscale Physics 2009-10-31 v1 Atomic and Molecular Clusters

Abstract

The distinctions in the mass spectra of large sodium (Na_N) and aluminum (Al_N) clusters are discussed. A semiclassical method is used to describe the shell effects within a spherical jellium model. It allows one to analyze the relative role of different classical trajectories in the formation of electronic supershells in clusters of various sizes at zero and finite temperatures. A criterion for the hardness of the self-consistent potential is formulated. The conjecture that the five-point-star trajectories make the main contribution to the spectral oscillations for large soft-potential Al_N (250<N<900) clusters is substantiated. The computational results are in agreement with the mass spectra of the Al_N clusters at T ~ 300 K.

Keywords

Cite

@article{arxiv.cond-mat/0011393,
  title  = {Orbits in Large Aluminum Clusters: Five-Pointed Stars},
  author = {G. V. Shpatakovskaya},
  journal= {arXiv preprint arXiv:cond-mat/0011393},
  year   = {2009}
}

Comments

5 pages, 3 figures, PDF format

R2 v1 2026-07-22T10:12:21.077Z