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Analytical expressions for interaction between two palnar and sperical surface for 2-1type asymmetric electrolytes at positive surface potential
LIU Guozhi * #
Department of Basic Courses,Yingkou Institute of Technology, Yingkou, 115014
*Correspondence author
#Submitted by
Subject:
Funding: Yingkou institute of Tchnology Science and Tcchnology Burean(No.no. YYL201401), Liaoning Provincial Science and Technology Burean(No.no.2009402004 and 201140200)
Opened online:22 March 2016
Accepted by: none
Citation: LIU Guozhi.Analytical expressions for interaction between two palnar and sperical surface for 2-1type asymmetric electrolytes at positive surface potential[OL]. [22 March 2016] http://en.paper.edu.cn/en_releasepaper/content/4680941
 
 
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
 
 
 

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