Approximate analytical expressions for the electrical potential between two planar, cylindrical, and spherical surfaces.

Article Abstract:

Curvature effect of a surface is taken into account by considering a correction function based on the Poisson-Boltzmann equation describing the electrical potential distribution planar, cylindrical, and spherical surfaces immersed in a salt-free medium, solved semianalytically. The results of numeric simulations reveal that the curvature effect of a spherical surface is more than that of a cylindrical surface, and the higher the surface potential the more the accuracy of analytical result.

Electric properties, Surfaces, Surfaces (Materials), Surface chemistry, Voltage, Electric potential, Surfaces (Technology), Report

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Approximate expression for the critical coagulation concentration of a general electrolyte solution

Article Abstract:

Explicit expressions for the electrical interaction between two identical, planar parallel surfaces in a general electrolyte solution are derived based on a combination of the Langmuir approximation and the Debye-Huckel approximation. It is shown that Schultz-Hardy rule is invalid, in general, and the effect of co-ions can be too large to be ignored.

Analysis, Electrolyte solutions, Chemical concentration

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Critical coagulation concentration of a salt-free colloidal dispersion

Article Abstract:

The exact and appropriate analytical solutions of the Poisson-Boltzmann equation for two planar, parallel surfaces are derived for the case when a dispersion medium contains counterions only. The results obtained are used to evaluate the critical coagulation concentration of a spherical dispersion.

Chemical reactions, Poisson distribution

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