Diffuse double layer interaction between two parallel plates with constant surface charge density in an electrolyte solution IV. Numerical calculation of the interaction between similar plates using the non-linear Poisson-Boltzmann equation

1976 ◽  
Vol 254 (5) ◽  
pp. 484-491 ◽  
Author(s):  
Hiroyuki Ohshima
Keyword(s):  
Numerical Calculation ◽  
Boltzmann Equation ◽  
Charge Density ◽  
Surface Charge ◽  
Electrolyte Solution ◽  
Surface Charge Density ◽  
Diffuse Double Layer ◽  
Parallel Plates ◽  
Poisson Boltzmann ◽  
Poisson Boltzmann Equation

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.

Surface charging parameters of charged particles in symmetrical electrolyte solutions

2020 ◽  
Vol 22 (35) ◽  
pp. 20123-20142
Author(s):  
Hadi Saboorian-Jooybari ◽  
Zhangxin Chen
Keyword(s):  
Charge Density ◽  
Surface Charge ◽  
Electrolyte Solution ◽  
Surface Charge Density ◽  
Potential Surface ◽  
Research Work ◽  
Charged Particles ◽  
Electrolyte Solutions ◽  
Surface Charging ◽  
Curvature Dependence

This research work is directed at development of accurate physics-based formulas for quantification of curvature-dependence of surface potential, surface charge density, and total surface charge for cylindrical and spherical charged particles immersed in a symmetrical electrolyte solution.

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