Micelles pp 131-148 | Cite as

Stability of Colloidal Particles

  • Yoshikiyo Moroi


The Debye-Hückel theory is covered in almost all textbooks on electrolyte solutions,1,2 but it will be reviewed in this chapter as a tool for modeling the interaction between charged colloidal particles of larger size. Because electrolytes in aqueous solution dissociate into ionic species that interact electrostatically, the concentration dependence of the activity coefficient differs sharply for electrolyte and nonelectrolyte solutions. This section is devoted to estimating the interaction between ionic species and deriving their activity coefficients. Three assumptions are adopted: (1) a solution is a dielectric continuum of constant ε; (2) ions are hard spheres of diameter a; and (3) the concentration is relatively low (at higher concentrations the Debye-Hückel theory is very approximate). Consider a charge density in a volume element dv at a distance r from an arbitrarily selected central ion and assume the mean electrostatic potential to be ψ r .


Activity Coefficient Diffuse Layer Colloidal Particle Interparticle Distance Diffuse Double Layer 
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  1. 1.
    R. A. Robinson and R. H. Stokes, Electrolyte Solutions, Butterworths, London (1959).Google Scholar
  2. 2.
    J. O. Bockris and A. K. N. Reddy, Modern Electrochemistry, Plenum Press, New York (1970).CrossRefGoogle Scholar
  3. 3.
    E. J. W. Verwey, J. Phys. Chem. 51, 631 (1947).CrossRefGoogle Scholar
  4. 4.
    E. J. W. Verwey and J. T. G. Overbeek, Theory of the Stability of Lyophobic Colloid, Elsevier, Amsterdam (1948).Google Scholar
  5. 5.
    B. V. Derjaguin, Trans. Faraday Soc. 36, 203 (1940).CrossRefGoogle Scholar
  6. 6.
    B. V. Derjaguin and L. Landau, Acta Physicochim. URSS 14, 633 (1941).Google Scholar
  7. 7.
    E. Jahnke and F. Emde, Tables of Functions, 2nd ed., p. 124, Teubner, Stuttgart (1933).Google Scholar
  8. 8.
    I. Langmuir, J. Chem. Phys. 6, 893 (1938).CrossRefGoogle Scholar
  9. 9.
    F. London, Z. Phys. 63, 245 (1930).CrossRefGoogle Scholar
  10. 10.
    Derivation is given on p. 101 of Ref. 4.Google Scholar
  11. 11.
    H. C. Hamaker, Physica (The Hague) 4, 1058 (1937).CrossRefGoogle Scholar
  12. 12.
    O. Stern, Z. Elektrochem. 30, 508 (1924).Google Scholar
  13. 13.
    J.T.G. Overbeek, in: Colloid Science, Vol. 1, Irreversible Systems (H.R. Kruyt, ed.), pp. 132–137, Elsevier, Amsterdam (1952).Google Scholar
  14. 14.
    S. Usui, J. Colloid I terface Sci. 97, 247 (1984).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • Yoshikiyo Moroi
    • 1
  1. 1.Department of Chemistry, Faculty of ScienceKyushu UniversityFukuokaJapan

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