We’re sorry, something doesn't seem to be working properly.

Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

We’re sorry, something doesn't seem to be working properly.

Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

We’re sorry, something doesn't seem to be working properly.

Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Skip to main content

Phase change of Lennard-Jones nano clusters containing non magic numbers

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

  • Published:
Journal of the Iranian Chemical Society Aims and scope Submit manuscript

Abstract

Phase changes of Lennard-Jones clusters containing 4N 3 (N= 1−20) identical atoms in terms of solid and liquid phase-like forms have been studied by performing molecular dynamics (MD) simulation at sharply-bounded range of temperatures between freezing temperature (T f) and melting temperature (T m) and at constant pressure. The small differences between the free energies of clusters in different phase-like forms and also the non-rigidity of the cluster (0 ≤ γ ≤ 1) as an order-parameter, which characterizes the phase transition, have been calculated. Plots of the free energy of phase change versus the non-rigidity indicate that the free energy is a continuous function of the non-rigidity and also different crystalline-like cores with different free energies correspond to the same non-rigidity factor at any given temperature.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J.P.K. Doye, D.J. Wales, J. Chem. Phys. 24 (1995) 102.

    Google Scholar 

  2. R.S. Berry, J. Jellinek, Theory of Atomic and Molecular Clusters, Springer-Verlag, Berlin, 1999.

    Google Scholar 

  3. T.L. Beck, R.S. Berry, J. Chem. Phys. 88 (1988) 3910.

    CAS  Google Scholar 

  4. R.S. Berry, J. Jellinek, G. Natanson, Chem. Phys. Let. 107 (1984) 227.

    CAS  Google Scholar 

  5. R.S. Berry, J. Chem. Soc. Faraday Trans. 86 (1990) 2343.

    CAS  Google Scholar 

  6. R.S. Berry, J. Jellinek, G. Natanson, Phys. Rev. A 30 (1984) 919.

    CAS  Google Scholar 

  7. L.S. Bartell, J. Chem. J. Phys. Chem. 96 (1992) 8801.

    CAS  Google Scholar 

  8. L.S. Bartell, T.S. Dibble, Z. Phys. D 20 (1991b) 255.

    CAS  Google Scholar 

  9. U. Buck, B. Schmidt, J.G. Siebers, J. Chem. Phys. 99 (1993) 9428.

    CAS  Google Scholar 

  10. M. Schmidt, R. Kusche, W. Kronmller, B. Von Issendorff, H. Haberland, Phys. Rev. Let. 79 (1997) 99.

    CAS  Google Scholar 

  11. J.D. Honeycutt, H.C. Andersen, J. Phys. Chem. 91 (1987) 4950.

    CAS  Google Scholar 

  12. S. Ramakrishnan, C.F. Zukoski, J. Phys. Chem. 113 (2000) 1237.

    CAS  Google Scholar 

  13. G.S. Ezra, R.S. Berry, J. Chem. Phys. 76 (1982) 3679.

    CAS  Google Scholar 

  14. R.S. Berry, J. Jellinek, G. Natanson, Chem. Phys. Let. 107 (1984) 227.

    CAS  Google Scholar 

  15. R.S. Berry, J. Chem. Soc. Faraday Trans. 86 (1990) 2343.

    CAS  Google Scholar 

  16. R.S. Berry, C.R. Physique 3 (2002) 319.

    CAS  Google Scholar 

  17. M.E. Kellman, R.S. Berry, Chem. Phys. Let. 42 (1976) 327.

    CAS  Google Scholar 

  18. F. Amar, M.E. Kellman, R.S. Berry, J. Chem. Phys. 70 (1979) 1973.

    CAS  Google Scholar 

  19. M.E. Kellman, F. Amar, R.S. Berry. J. Chem. Phys. 73 (1980) 2387.

    CAS  Google Scholar 

  20. A.Z. Panagiotopoulos, Int. J. Thermophys. 15 (1994) 1056.

    Google Scholar 

  21. A. Boutain, B. Rousseau, A.H. Fuchs, Chem. Phys. Lett. 218 (1994) 122.

    Google Scholar 

  22. A. Proykova, R.S. Berry, Eur. Phys. J. D 9 (1999) 445.

    CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. Nasehzadeh.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nasehzadeh, A., Etminan, N. Phase change of Lennard-Jones nano clusters containing non magic numbers. JICS 7 (Suppl 2), S28–S33 (2010). https://doi.org/10.1007/BF03246182

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03246182

Keywords

Navigation