TITLE

On the equation of state of charged colloidal systems

AUTHOR(S)
Groot, Robert D.
PUB. DATE
April 1991
SOURCE
Journal of Chemical Physics;4/1/1991, Vol. 94 Issue 7, p5083
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The mean spherical approximation (MSA) is applied to the ‘‘primitive model’’ of electrolytes to calculate the osmotic pressure of a charged colloidal system. For a two-component system of large particles (1 μm diameter) and counterions, the MSA predicts a correction to the ideal gas law which is proportional to ρ3/4. This result should be compared to the Debye–Hückel correction, which is proportional to ρ3/2. As a result of this power (3)/(4) the MSA equation of state describes phase separation in combination with a very low spinodal density. To study the importance of the nonlinear effects, a correction based on the Poisson–Boltzmann equation is proposed. The resulting equation of state qualitatively shows the same behavior as the MSA does, however, the correction to the ideal gas law is reduced by a factor of four. In the three-component system (colloid particles, counterions, and coions) the parameter range where phase separation occurs is limited to not only low dielectric permittivity, but also to low salt concentrations.
ACCESSION #
7655878

 

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