Non-Bonded Intermolecular Interactions and their Modification in the Presence of a Surface

  • F. Y. Hansen
Chapter
Part of the NATO ASI Series book series (ASIC, volume 228)

Abstract

The representation of non-bonded molecular interactions are discussed, and the physical nature of the London dispersion energy is considered in detail. It is expressed in terms of molecular- and electric field susceptibilities at imaginary frequencies. The analysis is based on elementary quantum mechanics and classical electrodynamics and assumes no knowledge of quantum field theory, which is an alternative approach to the problem. The method, suggested by A.D. McLachlan, gives a very good physical insight into the nature of the interaction. General expressions for the dispersion energy, which include retardation effects, are given for two and three molecules. The modification of the intermolecular dispersion energy, caused by scattering of radiation from a solid dielectric, is studied and McLachlan’s result for isotropic molecules is extended to axial anisotropic molecules. The effect is relevant for molecules adsorbed on surfaces, and the results for ethane and butane molecules adsorbed on the basal planes of graphite are given. They show that the modification is rather small at typical intermolecular distances and therefore only of minor importance for the film structures and the excitations in the films.

Keywords

Dispersion Energy Mirror Plane Retardation Effect Molecular Polarizability Linear Response Theory 
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.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1).
    D.E. Williams, Trans. Am. Cryst. Ass. 1970, 6, 21.Google Scholar
  2. 1a).
    D.E. Williams, Acta Crvstallogr, 1974, A30, 71.CrossRefGoogle Scholar
  3. 1b).
    W.R. Busing, J. Am. Chem. Soc. 1982, 104, 4829.CrossRefGoogle Scholar
  4. 1c).
    A.E. Kitaigorodskii, Molecular Crystals. Academic Press N.Y. 1973.Google Scholar
  5. 1d).
    U. Burkert and N.L. Allinger, Molecular Mechanics. American Chemical Society Monograph 1982, 177.Google Scholar
  6. 2).
    A.D. McLachlan, Proc, Roy. Soc, 1963, A 271, 387.Google Scholar
  7. 2a).
    A.D. McLachlan Mol. Phys. 1963, 6, 423.CrossRefGoogle Scholar
  8. 2b).
    A.D. McLachlan, Proc. Roy. Soc, 1963, A 274, 80.Google Scholar
  9. 3).
    K. Mirsky, Computing in Crystallography, ed. H. Schenk, Delft University Press, Delft, 1978.Google Scholar
  10. 4).
    F.Y. Hansen, G.P. Alldredge, L.W. Bruch and H. Taub, J. Chem. Phys. 1985, 83, 349.CrossRefGoogle Scholar
  11. 5).
    B.E, Williams and T.L. Starr, Computers and Chemistry. 1979, Vol 1, 173.CrossRefGoogle Scholar
  12. 6).
    L.I. Schiff, Quantum Mechanics. McGraw Hill Book Company, 1968.Google Scholar
  13. 7).
    M. Jaszunski and R. McWeenig, Mol. Phys. 1982, 46, 863.CrossRefGoogle Scholar
  14. 8).
    R. Kubo, J. Phys. Soc. Japan 1957, 12, 570CrossRefGoogle Scholar
  15. 9).
    B.J. Berne and G.D. Harp, Advances in Chemical Physics. 1970, Vol XVII, 63.CrossRefGoogle Scholar
  16. 9a).
    L.D. Landau and E.M. Lifshitz, Statistical Physics. Pergamon Press 1978, 343.Google Scholar
  17. 10).
    M.A. Lawrentjew and B.W. Schabat, Metoden der Komplexen Funktionstheorie. VEB Deutcher Verlag der Wissenschaften, 1967.Google Scholar
  18. 11).
    H.G. Booker, Energy in Electromagnetism. The institution of Electrical Engineers, London and N.Y., Peter Peregrinus Ltd. 1982.Google Scholar
  19. 12).
    J.D. Jackson, Classical Electrodynamics. John Wiley and Sons, N.Y. 1975.Google Scholar
  20. 13).
    H.B. Casimir and D. Polder, Phys. Rev. 1948, 73, 360.CrossRefGoogle Scholar
  21. 14).
    W.A. Steele, The interaction of gases with solid surfaces. Pergamon Press, 1974.Google Scholar
  22. 15).
    A.D. McLachlan, Mol. Phys. 1964, 7, 381.CrossRefGoogle Scholar
  23. 16).
    M.P. Bogards, A.D. Buckingham, R.K. Pierens and A.H. White, Faraday Trans. I. 1974, 74, 3008.CrossRefGoogle Scholar
  24. 16a).
    G.R. Alms, A.K. Burnham and W.H. Flygare, J. Chem. Phys. 1975, 63, 3321.CrossRefGoogle Scholar
  25. 16b).
    Landolt-Børnstein, Atom und Molekularphysik. Springer Verlag, West Berlin, 1951, Vol I, part 3.Google Scholar
  26. 17).
    R.D. Amos and J.H. Williams, Chem. Phys. Letters 1979, 66, 471.CrossRefGoogle Scholar
  27. 17a).
    D. Bhanmik, H.H. Jaffe and J.E. Mark, J. Mol. Strug. THEOCHEM. 1982, 87, 81.CrossRefGoogle Scholar
  28. 18).
    G.J. Trott, PhD. thesis 1981, Department of Physics and Astronomi, University of Missouri-columbia Missouri, USA.Google Scholar
  29. 18a).
    G.J. Trott, H. Taub, F.Y.Hansen and H.R.Danner, Chem. phys. Letters 1981, 78, 504.CrossRefGoogle Scholar
  30. 19).
    E. Tossati and F. Bassani, I1 Nuovo Cimento. 1979, 65 B, 161.Google Scholar
  31. 19a).
    H. Venghaus, phys,stat,sol. (b). 1975, 71, 609.CrossRefGoogle Scholar
  32. 19b).
    J. Cazaux, Solid State Communications. 1970, 8, 545.CrossRefGoogle Scholar
  33. 20).
    L.W. Bruch and H Watanabe. Surface Science. 1977, 65, 619.CrossRefGoogle Scholar
  34. 21).
    G.D. Zeiss and W.J. Meath, Mol. Phys. 1977, 33, 1155.CrossRefGoogle Scholar
  35. 21a).
    G.F. Thomas and W.J. Meath, Mol. Phys. 1977, 34, 113.CrossRefGoogle Scholar
  36. 21b).
    G.D. Zeiss, W.J. Meath, J.C.F. MacDonald and D.J. Dawson,Can. J. Phys. 1977, 55, 2080.CrossRefGoogle Scholar
  37. 21c).
    B.L. Jhanwar, W.J. Meath and J.C.F. MacDonald, Can. J. Phys.1981, 59, 185.CrossRefGoogle Scholar
  38. 22).
    B.L. Jhanwar and W.J. Meath, Mol. Phys. 1980, 41, 1061.CrossRefGoogle Scholar
  39. 23).
    N.D. Lang and W. Kohn, Phys. Rev. 1973, B7, 3541.Google Scholar
  40. 23a).
    E. Zaremba and W. Kohn, Phys. Rev. 1976, B13, 2270.Google Scholar
  41. 24).
    L.W. Bruch, Surface Science 1983, 125, 194.CrossRefGoogle Scholar
  42. 25).
    J.M. Phillips, Phys. Rev. B.. 1984, 29, 5865.CrossRefGoogle Scholar
  43. 25a).
    J.M. Phillips, Phys. Rev. B.. 1986, 34, 2823,CrossRefGoogle Scholar

Copyright information

© Kluwer Academic Publishers 1988

Authors and Affiliations

  • F. Y. Hansen
    • 1
  1. 1.Fysisk-Kemisk Institut 206 DTHLyngbyDenmark

Personalised recommendations