|
In this paper, we suggest an analytical solution to Poisson-Boltzmann equation for the calculation of potential distributions between two identical plate colloidal particles immersed in a 2:1 type electrolyte solution with constant high or medium surface potential. Our expression fits well to the exact values of the potential between two parallel plates. Numerical results indicate that this analytical solution provides accurate description for the dimensionless distance ≤ 3. The suggested solution can be successfully applied in calculating the potential for identical plates with high or medium surface potentials. A simple analysis expression for the energy of interactions between two identical plates with constantly high or medium surface potential is given. The solutions in analytical and numerical forms become indistinguishable when , and , respectively. When , , the approximate solution is in close agreement with the numerical solution. By use of accurate analytical expression for the corresponding interaction energy between two parallel similar plates obtained presently, a simple analysis expression is given for calculating the energy of interactions between two identical spherical colloidal particles in a 2:1 type electrolyte solution with the help of Derjaguin's approximation. |
|
Keywords:plates particles; constructing solution; Poisson-Boltzmann equation; asymmetric electrolyte; potential distribution; interaction energy; spherical colloidal particles |
|