The linearized Poisson-Boltzmann theory is used to calculate the electrical double-layer interaction free energy between identical spherical colloidal particles. Results are given for interaction under conditions of constant surface potential, constant surface charge, and for the case in which charg
Computation of Forces between Spherical Colloidal Particles: Nonlinear Poisson-Boltzmann Theory
β Scribed by Steven L. Carnie; Derek Y.C. Chan; Jim Stankovich
- Book ID
- 102970115
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 664 KB
- Volume
- 165
- Category
- Article
- ISSN
- 0021-9797
No coin nor oath required. For personal study only.
β¦ Synopsis
A numerical scheme has been developed to calculate the electrical double-layer force between two spherical colloidal particles based on the nonlinear Poisson-Boltzmann theory. Results for identical spheres interacting under constant surface potential, constant surface charge, or equilibrium dissociation of ionizable surface groups are given. The method can be readily applied to the case of nonidentical spheres. These results serve as benchmarks for delineating the accuracy of approximate methods for the calculation of the interaction between particles based on the Deryaguin approximation, the superposition approximation, and the Hogg-Healy-Fuerstenau approximation, as well as numerical solutions of the problem based on the linearized PoissonBoltzmann (Debye-HΓΌckel) theory. O 1994 Academic Press, Inc.
π SIMILAR VOLUMES
Using the linearized Poisson-Boltzmann theory, electrical double layer interactions are calculated between two nonuniform spherical colloidal particles with mean potential zero. Most results are for the case of surface potentials modeled by a single spherical harmonic and aligned relative to each ot
result (2) for a charged spherical particle and Hoskin's result A method is proposed to evaluate the accuracy of numerical (5) for two identically charged spherical particles. However, solutions of the nonlinear Poisson -Boltzmann equation for one cannot ensure that the new method is also of the sam