The interaction of two charged spheres in the Poisson–Boltzmann equation
- 1 July 1981
- journal article
- Published by Canadian Science Publishing in Canadian Journal of Chemistry
- Vol. 59 (13) , 1860-1864
- https://doi.org/10.1139/v81-277
Abstract
The Poisson–Boltzmann equation for two large charged spheres immersed in an ionic solution with either constant surface charge density or constant surface potential is solved numerically. The repulsion between the spheres is calculated from the electrostatic potential in the double layer surrounding the spheres. Good agreement between this numerically calculated force and the force computed using the Derjaguin formula for spheres with constant surface charge density is found at small separations of the spheres.Keywords
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