title: The Donnan potential-surface potential relationship for a cylindrical soft particle in an electrolyte solution.
abstract: Transcendental equations, which avoid integration of the nonlinear Poisson-Boltzmann equations, are presented for obtaining the relationship between the Donnan potential and surface potential of a cylindrical soft particle (i.e., a polyelectrolyte-coated cylindrical particle) in a symmetrical electrolyte solution. Numerical results obtained by the present method are in excellent agreement with exact results obtained by solving the nonlinear cylindrical Poisson-Boltzmann equations both inside and outside the polyelectrolyte layer.
authors.affiliation: Faculty of Pharmaceutical Sciences and Institute of Colloid and Interface Science, Tokyo University of Science, 2641 Yamazaki, Noda, Chiba 278-8510, Japan. ohshima@rs.noda.tus.ac.jp
authors.forename: Hiroyuki
authors.initials: H
authors.lastname: Ohshima
mesh_terms: D001671:Biochemistry / Q000379:methods; D001703:Biophysics / Q000379:methods; D004560:Electricity; D004563:Electrochemistry / Q000379:methods; D004573:Electrolytes; D007477:Ions; D008422:Materials Testing; D008956:Models, Chemical; D015233:Models, Statistical; D008962:Models, Theoretical; D010316:Particle Size; D016012:Poisson Distribution; D011108:Polymers / Q000737:chemistry; D055672:Static Electricity; D013499:Surface Properties
chemical_list: D004573:Electrolytes; D007477:Ions; D011108:Polymers