Journal of Surface Science and Technology

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Discrete Charge Effects on the Potential Distribution in and around Soft Particles


Affiliations
1 Faculty of Pharmaceutical Sciences, Tokyo University of Science, 2641 Yamazaki Noda, Chiba 278-8510, Japan
     

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The potential distribution in and around a soft particle, i.e., a porous polyelectrolyte particle, in an electrolyte solution is usually derived via a continuum model in which fixed charges inside the soft particle are distributed with a continuous charge density. In this paper, on the basis of a previous result for a plate like soft particle consisting of a cubic lattice of fixed point charges, we derive expressions for the electric potential distribution for the case of a soft sphere and a soft cylinder. These expressions are given in terms of a sum of the screened Coulomb potentials produced by the point charges within the soft particle. We show how the discrete charge model approaches the continuous charge model as the lattice spacing becomes very small.

Keywords

Continuous Charge Model, Discrete Charge Effect, Donnan Potential, Surface Potential
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  • Discrete Charge Effects on the Potential Distribution in and around Soft Particles

Abstract Views: 346  |  PDF Views: 5

Authors

Hiroyuki Ohshima
Faculty of Pharmaceutical Sciences, Tokyo University of Science, 2641 Yamazaki Noda, Chiba 278-8510, Japan

Abstract


The potential distribution in and around a soft particle, i.e., a porous polyelectrolyte particle, in an electrolyte solution is usually derived via a continuum model in which fixed charges inside the soft particle are distributed with a continuous charge density. In this paper, on the basis of a previous result for a plate like soft particle consisting of a cubic lattice of fixed point charges, we derive expressions for the electric potential distribution for the case of a soft sphere and a soft cylinder. These expressions are given in terms of a sum of the screened Coulomb potentials produced by the point charges within the soft particle. We show how the discrete charge model approaches the continuous charge model as the lattice spacing becomes very small.

Keywords


Continuous Charge Model, Discrete Charge Effect, Donnan Potential, Surface Potential

References





DOI: https://doi.org/10.17834/ijsstissst.v31i1-2.79919