Skip to main content
Log in

Energy optimization of water polyhedra. II. Classification of optimal configurations in clusters from a cube up to fullerene

  • Published:
Journal of Structural Chemistry Aims and scope Submit manuscript

Abstract

Using a combinatory optimization method based on discrete models of intermolecular interaction, the classes of optimal configurations in polyhedral water clusters have been calculated. By means of calculations with various pair potentials an essential advantage in energy of discretely optimized configurations is ascertained. The effect of the dipole moment of clusters on their energy is studied.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. F. N. Keutsch and R. J. Saykally, Proc. Natl. Acad. Sci. USA., 98, 10533–10540 (2001).

    Google Scholar 

  2. S. S. Xantheas, Chem. Phys., 258, 225–231 (2000).

    Article  CAS  Google Scholar 

  3. M. V. Kirov, Zh. Strukt. Khim., 37, No. 1, 98–106 (1996).

    CAS  Google Scholar 

  4. M. V. Kirov, ibid., 46, Supplement, S186–S192 (2005).

    Google Scholar 

  5. M. V. Kirov, ibid., 47, No. 4, 695–701 (2006).

    Google Scholar 

  6. S. McDonald, L. Ojamäe, and S. J. Singer, J. Phys. Chem., 102, No. 17, 2824–2832 (1998).

    CAS  Google Scholar 

  7. J.-L. Kuo, C. V. Ciobanu, L. Ojamäe, et al., J. Chem. Phys., 118, No. 8, 3583–3588 (2003).

    Article  CAS  Google Scholar 

  8. D. J. Anick, J. Mol. Struct. (Theochem.), 587, 87–96 (2002).

    Article  CAS  Google Scholar 

  9. D. J. Anick, ibid., 97–110.

  10. D. J. Anick, J. Chem. Phys., 119, No. 23, 12442–12456 (2003).

    Google Scholar 

  11. M. V. Kirov, Zh. Strukt. Khim., 34, No. 4, 77–82 (1993).

    CAS  Google Scholar 

  12. M. V. Kirov, ibid., 43, No. 5, 851–859 (2002).

    Google Scholar 

  13. M. V. Kirov, ibid., 44, No. 3, 472–480 (2003).

    Google Scholar 

  14. M. V. Kirov, Application of Symbolic Methods and Max-Plus Algebra for Combinatorial Optimization of Cyclic and Polyhedral Clusters of Water, Preprint deposited at VINITI 08.07.2005, No. 982-2005.

  15. M. V. Kirov, Zh. Strukt. Khim., 37, No. 1, 107–115 (1996).

    CAS  Google Scholar 

  16. F. L. Baccelli, G. Cohen, G. J. Olsder, and J. P. Quadrat, Synchronization and Linearity, An Algebra for Discrete Event Systems, Wiley Chichester (1992).

    Google Scholar 

  17. R. A. Cuninghame-Green, Minimax Algebra, Lecture Notes in Econ. and Math. Systems 166. Springer, Berlin (1979).

    Google Scholar 

  18. S. D. Belair and J. S. Francisco, Phys. Rev. A., 67, 063206 (1-6) (2003).

    Google Scholar 

  19. E. D. Sloan, Clathrate Hydrates of Natural Gases., Marcel Dekker Inc. Pub., New York (1997).

    Google Scholar 

  20. W. L. Jorgensen, J. Chandresekhar, J. D. Madura, et al., J. Chem. Phys., 79, 926–935 (1983).

    Article  CAS  Google Scholar 

  21. M. W. Mahoney and W. L. Jorgensen, ibid., 112, No. 20, 8910–8922 (2000).

    Article  CAS  Google Scholar 

  22. C. J. Burnham and S. S. Xantheas, ibid., 116, No. 12, 5115–5124 (2002).

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text Copyright © 2006 by M. V. Kirov

__________

Translated from Zhurnal Strukturnoi Khimii, Vol. 47, No. 4, pp. 708–714, May–June, 2006.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kirov, M.V. Energy optimization of water polyhedra. II. Classification of optimal configurations in clusters from a cube up to fullerene. J Struct Chem 47, 691–698 (2006). https://doi.org/10.1007/s10947-006-0357-x

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10947-006-0357-x

Keywords

Navigation