Cell Biophysics

, Volume 11, Issue 1, pp 65–75 | Cite as

Interaction of planar double layers in the modified Gouy-Chapman approximation

  • R. B. McBroom
  • D. A. McQuarrie


The force between two charged planar surfaces containing an electrolyte solution is calculated. The calculation is done for a 1-1 electrolyte with size-asymmetric ions using a Modified Gouy-Chapman theory. It is shown that at least part of the explanation for the sharp rise in the force between charged surfaces at small separations seen in experimental data may be related to finite-sized ion effects in the double layer. An interesting effect of size-asymmetric ions is the prediction of a force between uncharged surfaces.

Index Entries

Double layers Gouy-Chapman theory colloidal interactions DVLO theory 


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  1. 1.
    See, for example, Carnie, S. L. and Torrie, G. M. (1984),Adv. Chem. Phys. 56, 141.CrossRefGoogle Scholar
  2. 2.
    Torrie, G. M. and Valleau, J. P. (1980),J. Chem. Phys. 73, 5807.CrossRefGoogle Scholar
  3. 3.
    Gouy, G. (1910),J. Phys. 9, 457; Chapman, D. L. (1913),Philos. Mag. 25, 475; Stern, O. (1924),Z. Elektrochem. 30, 508.Google Scholar
  4. 4.
    Grahame, D. C. (1947),Chem. Rev. 41, 441.CrossRefGoogle Scholar
  5. 5.
    Valleau, J. P. and Torrie, G. M. (1982),J. Chem. Phys. 76, 4623.CrossRefGoogle Scholar
  6. 6.
    Bhuiyan, L. B., Blum, L. and Henderson, D. (1983),J. Chem. Phys. 78, 442.CrossRefGoogle Scholar
  7. 7.
    Deraguin, B. V. and Landau, L. (1941),Acta Phys. Chim. USSR 14, 633.Google Scholar
  8. 8.
    Verwey, E. J. and Overbeek, J. Th. G. (1948),Theory of the Stability of Lyophobic Colloids, Elsevier, Amsterdam.Google Scholar
  9. 9.
    Grimson, M. J. and Rickayzen, R. (1982),Mol. Phys. 45, 921.CrossRefGoogle Scholar
  10. 10.
    Lozada-Cassou, M. and Henderson, D. (1986),Chem. Phys. Letters 127, 392.CrossRefGoogle Scholar
  11. 11.
    Kjellander, R. and Marcelja, S. (1986),Chem. Phys. Lett. 127, 402.CrossRefGoogle Scholar
  12. 12.
    Bratko, D., Jönsson, B., and Wennerström, H. (1986),Chem. Phys. Lett. 128, 449.CrossRefGoogle Scholar
  13. 13.
    Henderson, D. and Lozada-Cassou, M. (1986),J. Coll. Interface Sci. 114, 180.CrossRefGoogle Scholar
  14. 14.
    Israelachvili, J. N. and Adams, G. (1976),Nature 262, 774; (1978),J. Chem. Soc. Faraday Trans. l. 74, 975.CrossRefGoogle Scholar
  15. 15.
    Pashley, R. M. (1981),J. Coll. Interface Sci. 83, 531; Pashley, R. M. and Israelachvili, J. N. (1984), ibid.J. Coll. Interface Sci. 97, 446.CrossRefGoogle Scholar
  16. 16.
    Cowley, A. C., Fuller, N. L., Rand, R. P., and Parsegian, V. A. (1978),Biochemistry 17, 3163; Parsegian, V. A., Fuller, N., and Rand, R. P. (1979),Proc. Natl. Acad. Sci. 76, 2750.PubMedCrossRefGoogle Scholar

Copyright information

© Humana Press Inc. 1987

Authors and Affiliations

  • R. B. McBroom
    • 1
  • D. A. McQuarrie
    • 1
  1. 1.Department of ChemistryUniversity of CaliforniaDavis

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