Ionic Solutions in the Binding Mean Spherical Approximation. Thermodynamics of Associating Electrolytes up to Very High Concentrations

2004 ◽  
Vol 108 (18) ◽  
pp. 5763-5770 ◽  
Author(s):  
Teresa Vilariño ◽  
Olivier Bernard ◽  
Jean-Pierre Simonin
Keyword(s):  
Spherical Approximation ◽  
Mean Spherical Approximation ◽  
Ionic Solutions ◽  
High Concentrations ◽  
Very High

scholarly journals Some Analytic Expressions for the Capacitance and Profiles of the Electric Double Layer Formed by Ions Near an Electrode

2015 ◽  
Vol 43 (2) ◽  
pp. 55-66
Author(s):  
Douglas Henderson
Keyword(s):  
Double Layer ◽  
Electric Double Layer ◽  
Practical Importance ◽  
Differential Capacitance ◽  
Spherical Approximation ◽  
Mean Spherical Approximation ◽  
Low Concentrations ◽  
Analytic Expressions ◽  
Poisson Boltzmann ◽  
High Concentrations

Abstract The electric double layer, which is of practical importance, is described. Two theories that yield analytic results, the venerable Poisson-Boltzmann or Gouy-Chapman-Stern theory and the more recent mean spherical approximation, are discussed. The Gouy-Chapman-Stern theory fails to account for the size of the ions nor for correlations amoung the ions. The mean spherical approximation overcomes, to some extent, these deficiencies but is applicable only for small electrode charge. A hybrid description that overcomes some of these problems is presented. While not perfect, it gives results for the differential capacitance that are typical of those of an ionic liquid. In particular, the differential capacitance can pass from having a double hump at low concentrations to a single hump at high concentrations.

Non-Debye screening in ionic solutions: Generalization of the modified mean spherical approximation

2000 ◽  
Vol 113 (22) ◽  
pp. 10174-10179 ◽  
Author(s):  
L. M. Varela ◽  
J. M. Ruso ◽  
M. Garcia ◽  
V. Mosquera
Keyword(s):  
Spherical Approximation ◽  
Mean Spherical Approximation ◽  
Debye Screening ◽  
Ionic Solutions
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