Molecular Theory for Amphiphile Packing and Elastic Properties of Monolayers and Bilayers

  • A. Ben-Shaul
  • L. Szleifer
  • W. M. Gelbart
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 21)

Abstract

In a number of recent papers we have presented and developed a statistical thermodynamic theory for amphiphile chain packing in micellar aggregates and membrane bilayers[1]. The central quantity in the theory is the (singlet) probability distribution function (pdf) of chain conformations, with the aid of which one can calculate conformational properties (e.g. bond order parameters and chain segment spatial distributions), as well as relevant thermodynamic functions such as the average internal (gauche/trans) energy, conformational entropy and free energy. The conformational pdf accounts explicitly for the packing constraints imposed on a given chain by (excluded volume interactions with) its neighbors. These constraints, and consequently the pdf depend on the geometrical characteristics of the microenvironment in which the chains are packed; namely, the curvature of the hydrocarbon-water interface of the micelle, membrane or monolayer and the surface density of polar heads.

Keywords

Entropy Surfactant Hydrocarbon Macromolecule Tral 

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References

  1. 1.
    A. Ben-Shaul, I. Szleifer and W.M. Gelbart, Proc. Natl. Acad. Sei., U.S.A. 81, 4601 (1984)CrossRefGoogle Scholar
  2. Ben-Shaul, I. Szleifer and W.M. Gelbart, J. Chem. Phys. 83, 3597 (1985)CrossRefGoogle Scholar
  3. I. Szleifer, A. Ben-Shaul and W.M. Gelbart, J. Chem. Phys. 85, 5345 (1986)CrossRefGoogle Scholar
  4. I. Szleifer, A. Ben-Shaul and W.M. Gelbart, J. Chem. Phys. 85, 5345 (1986)CrossRefGoogle Scholar
  5. A. Ben-Shaul and W.M. Gelbart, Ann. Rev. Phys. Chem. 36, 179 (1985)CrossRefGoogle Scholar
  6. J. L. Viovy, W. M. Gelbart and A. Ben-Shaul, J. Chem. Phys. (submitted).Google Scholar
  7. 2.
    P. van der Ploeg and H. J. C. Berendsen. Mol. Phys. 49, 233 (1983)CrossRefGoogle Scholar
  8. B. Jonsson, O. Edholm and O. Teleman, J. Chem. Phys. 85 2259 (1986).CrossRefGoogle Scholar
  9. 3.
    D. W. R. Gruen. J. Phys. Chem. 89, 146 (1985)CrossRefGoogle Scholar
  10. D. W. R. Gruen. Prog. Polymer Sci. 70, 6 (1985).Google Scholar
  11. 4.
    K. A. Dill and P. J. Flory. Proc. Natl. Acad. Sci. USA. 77, 3115 (1980)CrossRefGoogle Scholar
  12. K. A. Dill and P. J. Flory. Proc. Natl. Acad. Sci. USA. 78, 676 (1980)CrossRefGoogle Scholar
  13. K. A. Dill and R. S. Cantor. Macromolecules 17, 380 (1984).CrossRefGoogle Scholar
  14. 5.
    H. Wennerstrom and B. Lindman, Phys. Rep. 52, 1, (1980).CrossRefGoogle Scholar
  15. 6.
    C. Tanford, “The Hydrophobic Effect” 2nd ed. ( Wiley- Interscience, New York, 1980 ).Google Scholar
  16. 7.
    J. N. Israelachvili, D. J. Mitchell and B. W. Ninham, J. Chem. Soc. Faraday Trans. II 72, 1525 (1976).CrossRefGoogle Scholar
  17. 8.
    W. Helfrich, Z. Naturforsch. 28c, 693 (1973)Google Scholar
  18. W. Helfrich, Z. Naturforsch. 29c, 510 (1974)Google Scholar
  19. W. Helfrich, Z. Naturforsch. and Les Houches Session XXXV, 1980, “Physics of Defects”, R. Balian et al. eds., North-Holland Publ. Comp. (1981), p. 716.Google Scholar
  20. 9.
    E. A. Evans and R. Skalak, CRC Critical Rev. Bioeng., 3, 181 (1979).Google Scholar
  21. 10.
    A. G. Petrov and I. Bivas, Progr. in Surf. Sci. 16, 389 (1984).CrossRefGoogle Scholar
  22. 11.
    D. J. Mitchell and B. W. Ninham, J. Chem. Soc. Faraday Trans. II 77, 609 (1981).CrossRefGoogle Scholar
  23. 12.
    See e.g. A. Ben-Shaul, D. H. Rorman, G. V. Hartland and W. M. Gelbart, J. Phys. Chem 90, 5277 (1986).CrossRefGoogle Scholar
  24. 13.
    J. M. Di Meglio, M. Dvolaitzky and C. Taupin, J. Phys. Chem. 89, 871 (1985). see also the papers by J. M. Di Meglio and D. Roux in this volume.CrossRefGoogle Scholar
  25. 14.
    I. Szleifer, D. Kramer, A. Ben-Shaul, W. M. Gelbart and D. Roux, to be published.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  • A. Ben-Shaul
    • 1
  • L. Szleifer
    • 1
  • W. M. Gelbart
    • 2
  1. 1.Dept. of Physical Chemistry and the Fritz Haber Molecular Dynamics CenterThe Hebrew UniversityJerusalemIsrael
  2. 2.Dept. of ChemistryThe University of CaliforniaLos AngelesUSA

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