Abstract
The problem of electrostatic interactions between colloidal particles in an electrolyte solution has been solved within the Debye-Hückel approximation using the boundary condition of constant potential. The model has been validated in two independent ways - by considering the limiting cases obtained from DLVO theory and comparison with the available experimental data. The presented methodology provides the final part of a complete theory of pairwise electrostatic interactions between spherical colloidal particles; one that embraces all possible chemical scenarios within the boundary conditions of constant potential and constant charge.
Highlights
Understanding the effect of electrostatic forces is essential in the context of soft matter science for a number of reasons
The problem. 4,5 A similar approach has been used to describe the interaction between two surfaces of unequal but constant potential, 7 and a further modification was proposed by Carnie and Chan, who combined the results of constant charge and constant potential boundary conditions within the linearized PoissonBoltzmann (Debye-Hückel) model - charge regulation approach
A rigorous model of pairwise electrostatic interactions in an electrolyte solution has been previously developed within the Debye-Hückel approximation, 10,11 in which particle charge was assumed constant and uniformly distributed over the surface
Summary
Understanding the effect of electrostatic forces is essential in the context of soft matter science for a number of reasons. 5. A rigorous model of pairwise electrostatic interactions in an electrolyte solution has been previously developed within the Debye-Hückel approximation, 10,11 in which particle charge was assumed constant and uniformly distributed over the surface. We consider a rigorous model for the electrostatic interactions between two spherical colloidal particles in an electrolyte solution, where it is assumed that the potential on each particle remains constant and independent of coordinates of a surface point. The calculated results are validated using two experimental data sets: for poly(methyl methacrylate) (PMMA) spheres in hexadecane 14 and for a pair of polystyrene latex particles in an aqueous solution of KCl. 2 A detailed analytical consideration of approximate models for solving the electrostatic problem based on the above model has been given previously by Filippov et al 6
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