The mean spherical approximation and medium effects in the kinetics of solution reactions involving ions

1997 ◽  
Vol 75 (11) ◽  
pp. 1649-1655 ◽  
Author(s):  
W. Ronald Fawcett ◽  
Alex C. Tikanen ◽  
Douglas J. Henderson
Keyword(s):  
Ionic Strength ◽  
Infinite Dilution ◽  
Electrolyte Concentration ◽  
Spherical Approximation ◽  
Mean Spherical Approximation ◽  
Medium Effects ◽  
Kinetics Studies ◽  
Rate Of Reaction ◽  
The Mean ◽  
Kinetics Of

The mean spherical approximation has been applied to describe medium effects in the kinetics of reactions between ions in water. When the ionic strength of the medium is altered by the addition of an inert electrolyte, the rate of reaction can be accurately predicted with the inert electrolyte concentration up to 1 M. The theoretical rate constant at the limit of infinite dilution kr0, has been estimated for five earlier kinetics studies for which data are available in the literature. Keywords: kinetic medium effects, mean spherical approximation, activity coefficients.

Protonation of Glycine in Saline Media:  Evaluation of the Effect of Ionic Strength by Use of the Mean Spherical Approximation

1996 ◽  
Vol 100 (40) ◽  
pp. 16378-16384 ◽  
Author(s):  
T. Vilariño ◽  
M. E. Sastre de Vicente
Keyword(s):  
Ionic Strength ◽  
Spherical Approximation ◽  
Mean Spherical Approximation ◽  
The Mean

Effect of ionic strength on the protonation of various amino acids analysed by the mean spherical approximation

1997 ◽  
Vol 93 (3) ◽  
pp. 413-417 ◽  
Author(s):  
T. Vilariño ◽  
S. Fiol ◽  
X. L. Armesto ◽  
I. Brandariz ◽  
M. E. Sastre de Vicente
Keyword(s):  
Amino Acids ◽  
Ionic Strength ◽  
Spherical Approximation ◽  
Mean Spherical Approximation ◽  
The Mean

On the Mean Spherical Approximation for Hard Ions and Dipoles

1991 ◽  
Author(s):  
L. Blum ◽  
F. Vericat ◽  
W. R. Fawcett
Keyword(s):  
Spherical Approximation ◽  
Mean Spherical Approximation ◽  
The Mean

Some Explicit Results for the Mean Spherical Approximation for Mixtures of Yukawa Fluids

2008 ◽  
Vol 73 (3) ◽  
pp. 424-438 ◽  
Author(s):  
Douglas J. Henderson ◽  
Osvaldo H. Scalise
Keyword(s):  
Integral Equation ◽  
Spherical Approximation ◽  
Mean Spherical Approximation ◽  
Inverse Temperature ◽  
Temperature Expansion ◽  
Yukawa Fluid ◽  
The Mean ◽  
Full Solution ◽  
Insight Into ◽  
Reasonable Model

The mean spherical approximation (MSA) is of interest because it produces an integral equation that yields useful analytical results for a number of fluids. One such case is the Yukawa fluid, which is a reasonable model for a simple fluid. The original MSA solution for this fluid, due to Waisman, is analytic but not explicit. Ginoza has simplified this solution. However, Ginoza's result is not quite explicit. Some years ago, Henderson, Blum, and Noworyta obtained explicit results for the thermodynamic functions of a single-component Yukawa fluid that have proven useful. They expanded Ginoza's result in an inverse-temperature expansion. Even when this expansion is truncated at fifth, or even lower, order, this expansion is nearly as accurate as the full solution and provides insight into the form of the higher-order coefficients in this expansion. In this paper Ginoza's implicit result for the case of a rather special mixture of Yukawa fluids is considered. Explicit results are obtained, again using an inverse-temperature expansion. Numerical results are given for the coefficients in this expansion. Some thoughts concerning the generalization of these results to a general mixture of Yukawa fluids are presented.

Exact solution of the mean spherical approximation for a model of a molten salt

1978 ◽  
Vol 35 (5) ◽  
pp. 1233-1236 ◽  
Author(s):  
D.A. MacInnes
Keyword(s):  
Exact Solution ◽  
Molten Salt ◽  
Spherical Approximation ◽  
Mean Spherical Approximation ◽  
The Mean
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