Thermal Stability of Micro-Clusters

  • S. Shimamura


Anharmonic vibrations of atoms in a micro-cluster are theoretically studied by using the self-consistent phonon formalism. Atoms are assumed to interact on each other through a pairwise interatomic potential. The free energy of a cluster is minimized by using a model reference system in which a central atom is vibrating with a frequency ω0 and the surrounding atoms with ω1. We investigate the thermal softening of atomic vibrations, the thermal expansion and the vibrational instability for different micro-clusters. As for N=13 clusters, Cuboctahedron becomes instable at lower temperature than Icosahedron. The thermal stability of micro-clusters is discussed in terms of the instability temperature.


Free Energy Central Atom Instability Temperature Thermal Softening Atomic Vibration 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    W. D. Knight, K. Clemenger, W. A. de Heer, W. A. Sounders, M. Y. Chou and M. L. Cohen, Phys. Rev. Lett. 52 (1984) 2141.ADSCrossRefGoogle Scholar
  2. 2.
    L. A. Bloomfield, R. R. Freeman and W. L. Brown, Phys. Rev. Lett. 54 (1985) 2246.ADSCrossRefGoogle Scholar
  3. 3.
    A. Howie, Nature 320 (1986) 684.ADSCrossRefGoogle Scholar
  4. 4.
    R. S. Berry, J. Jellinik and G. Natanson, Phys. Rev. A 30 (1984) 919.ADSCrossRefGoogle Scholar
  5. 5.
    T. R. Koehler, Dynamical Properties of Solids, ed. G. K. Horton and A. A. Maradudin, Amsterdam, North-Holland.Google Scholar
  6. 6.
    T. Matsubara and K. Kamiya, Prog. Theor. Phys. 58 (1977) 767.MathSciNetADSCrossRefMATHGoogle Scholar
  7. 7.
    T. Matsubara, Y. Iwase and A. Momokita, Prog. Theor. Phys. 58 (1977) 1102.ADSCrossRefGoogle Scholar
  8. 8.
    M. Hasegawa, K. Hoshino and M. Watabe, J. Phys. F: Metal Phys. 10 (1980) 619.ADSCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1987

Authors and Affiliations

  • S. Shimamura
    • 1
  1. 1.Department of Applied Science, Faculty of EngineeringYamaguchi UniversityUbe 755Japan

Personalised recommendations