Electrical forces between particles with discrete periodic surface charge distributions in ionic solution

1975 ◽  
Vol 71 ◽  
pp. 1154 ◽  
Author(s):  
Peter Richmond
Keyword(s):  
Surface Charge ◽  
Periodic Surface ◽  
Ionic Solution ◽  
Charge Distributions

The interaction of two charged spheres in the Poisson–Boltzmann equation

1981 ◽  
Vol 59 (13) ◽  
pp. 1860-1864 ◽  
Author(s):  
Joseph E. Ledbetter ◽  
Thomas L. Croxton ◽  
Donald A. McQuarrie
Keyword(s):  
Boltzmann Equation ◽  
Charge Density ◽  
Surface Charge ◽  
Electrostatic Potential ◽  
Surface Charge Density ◽  
Ionic Solution ◽  
Poisson Boltzmann ◽  
Poisson Boltzmann Equation ◽  
Good Agreement ◽  
Charged Spheres

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.

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