Solution to the Poisson-Boltzmann equation for the potential distribution in the double layer of a single spherical colloidal particle

Transactions of the Faraday Society ◽

10.1039/tf9534901471 ◽

1953 ◽

Vol 49 ◽

pp. 1471 ◽

Cited By ~ 33

Author(s):

N. E. Hoskin

Keyword(s):

Boltzmann Equation ◽

Double Layer ◽

Potential Distribution ◽

Colloidal Particle ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation ◽

Spherical Colloidal Particle

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Approximate expressions for the surface charge density/surface potential relationship and double-layer potential distribution for a spherical or cylindrical colloidal particle based on the modified Poisson-Boltzmann equation

Colloid & Polymer Science ◽

10.1007/s00396-018-4286-y ◽

2018 ◽

Vol 296 (4) ◽

pp. 647-652 ◽

Cited By ~ 5

Author(s):

Hiroyuki Ohshima

Keyword(s):

Boltzmann Equation ◽

Surface Charge Density ◽

Potential Distribution ◽

Colloidal Particle ◽

Double Layer Potential ◽

Layer Potential ◽

Poisson Boltzmann ◽

Density Surface ◽

Poisson Boltzmann Equation ◽

Approximate Expressions

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Poisson-Boltzmann equation and electrokinetics for a spherical colloidal particle in a salt-free medium

Interface Science and Technology - Theory of Colloid and Interfacial Electric Phenomena ◽

10.1016/s1573-4285(06)80035-9 ◽

2006 ◽

pp. 283-300

Keyword(s):

Boltzmann Equation ◽

Colloidal Particle ◽

Free Medium ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation ◽

Spherical Colloidal Particle

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Approximate analytic solution of the Poisson–Boltzmann equation for a spherical colloidal particle

Journal of the Chemical Society Faraday Transactions 2 Molecular and Chemical Physics ◽

10.1039/f29777300577 ◽

1977 ◽

Vol 73 (5) ◽

pp. 577-596 ◽

Cited By ~ 49

Author(s):

Lee R. White

Keyword(s):

Boltzmann Equation ◽

Colloidal Particle ◽

Analytic Solution ◽

Approximate Analytic Solution ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation ◽

Spherical Colloidal Particle

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A simple algorithm for the calculation of an approximate electrophoretic mobility of a spherical colloidal particle based on the modified Poisson-Boltzmann equation

Colloid & Polymer Science ◽

10.1007/s00396-017-4038-4 ◽

2017 ◽

Vol 295 (4) ◽

pp. 543-548 ◽

Cited By ~ 9

Author(s):

Hiroyuki Ohshima

Keyword(s):

Boltzmann Equation ◽

Electrophoretic Mobility ◽

Colloidal Particle ◽

Simple Algorithm ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation ◽

Spherical Colloidal Particle

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Variational solution of the Poisson-Boltzmann Equation for a spherical colloidal particle

The Journal of Physical Chemistry ◽

10.1021/j100639a001 ◽

1973 ◽

Vol 77 (20) ◽

pp. 2367-2370 ◽

Cited By ~ 34

Author(s):

Stephen L. Brenner ◽

Robert E. Roberts

Keyword(s):

Boltzmann Equation ◽

Colloidal Particle ◽

Variational Solution ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation ◽

Spherical Colloidal Particle

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Analytical solutions of the Poisson-Boltzmann equation within an interstitial electrical double layer in various geometries

Chemical Physics ◽

10.1016/j.chemphys.2019.01.026 ◽

2019 ◽

Vol 522 ◽

pp. 147-162 ◽

Cited By ~ 4

Author(s):

Hadi Saboorian-Jooybari ◽

Zhangxin Chen

Keyword(s):

Boltzmann Equation ◽

Double Layer ◽

Analytical Solutions ◽

Electrical Double Layer ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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Thermodynamic consistency of the modified Poisson-Boltzmann equation in the electric double layer

The Journal of Physical Chemistry ◽

10.1021/j100281a036 ◽

1986 ◽

Vol 90 (23) ◽

pp. 6248-6251 ◽

Cited By ~ 6

Author(s):

D. Bratko ◽

L. B. Bhuiyan ◽

C. W. Outhwaite

Keyword(s):

Boltzmann Equation ◽

Double Layer ◽

Electric Double Layer ◽

Thermodynamic Consistency ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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Modified Poisson-Boltzmann Equation in the Electric Double Layer Theory for an Electrolyte with Size Asymmetric Ions

10.21236/ada201410 ◽

1988 ◽

Author(s):

L. B. Bhuiyan ◽

C. W. Outhwaite

Keyword(s):

Boltzmann Equation ◽

Double Layer ◽

Electric Double Layer ◽

Poisson Boltzmann ◽

Double Layer Theory ◽

Poisson Boltzmann Equation

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Numerical calculation of diffuse double layer properties for spherical colloidal particles by means of a modified nonlinearized poisson-Boltzmann equation

Journal of Colloid and Interface Science ◽

10.1016/0021-9797(79)90051-1 ◽

1979 ◽

Vol 70 (3) ◽

pp. 440-447 ◽

Cited By ~ 28

Author(s):

Jens Frahm ◽

Stephan Diekmann

Keyword(s):

Numerical Calculation ◽

Boltzmann Equation ◽

Double Layer ◽

Colloidal Particles ◽

Diffuse Double Layer ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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Polarizable Poisson–Boltzmann equation: The study of polarizability effects on the structure of a double layer

The Journal of Chemical Physics ◽

10.1063/1.3598476 ◽

2011 ◽

Vol 134 (23) ◽

pp. 234704 ◽

Cited By ~ 38

Author(s):

Derek Frydel

Keyword(s):

Boltzmann Equation ◽

Double Layer ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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