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Interactions between Two Spherical Particles with Nonuniform Surface Potentials: The Linearized Poisson-Boltzmann

Stankovich1, Carnie

  • 1Department of Mathematics, University of Melbourne, Parkville, 3052, Australia

Journal of Colloid and Interface Science
|July 28, 1999
PubMed
Summary

Interactions between nonuniform colloidal particles decay faster than uniform ones. Current models cannot explain experimental torques in differential electrophoresis, suggesting limitations in understanding secondary minimum effects.

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Electrophoretic Motion of Two Spherical Particles with Thick Double Layers

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Area of Science:

  • Colloid and Surface Science
  • Electrochemistry
  • Physical Chemistry

Background:

  • Electrical double layer interactions are crucial for colloidal particle behavior.
  • Nonuniform surface potentials significantly alter these interactions compared to uniform surfaces.
  • Previous studies on flat surfaces provide a basis for understanding spherical particle interactions.

Purpose of the Study:

  • To calculate electrical double layer interactions between nonuniform spherical colloidal particles.
  • To investigate the impact of single-mode and random surface potentials on particle interactions.
  • To evaluate the Deryaguin approximation and analyze forces and torques in particle doublets.

Main Methods:

  • Linearized Poisson-Boltzmann theory was employed for calculations.

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  • Surface potentials were modeled using spherical harmonics (single-mode) and random distributions.
  • Interaction energies, forces, and torques were computed for various separation distances and orientations.
  • Quasi-random sampling was used to assess the effect of sphere misalignment.

    • Main Results:

    • Interactions decay more rapidly for single-mode potentials compared to uniform potentials.
    • The Deryaguin approximation was tested for single-mode spheres.
    • Calculated torques for differential electrophoresis experiments were found to be an order of magnitude smaller than experimental values.
    • Torques were particularly small at separations characteristic of secondary minima.

    Conclusions:

    • Concepts from flat surface models are applicable to spherical particles with periodic potentials.
    • Existing models inadequately explain experimental torques in differential electrophoresis due to insufficient secondary minimum effects.
    • Further research is needed to understand realistic random surface potentials and their impact on colloidal interactions.