Title:
A TREATMENT OF THE EXCLUSION VOLUME TERM IN THE INHOMOGENEOUS
POISSON-BOLTZMANN THEORY FOR AN ION-DIPOLE MIXTURE
Author(s):
C.W.Outhwaite (Department of Applied Mathematics, University of Sheffield,
Sheffield, S3 7RH, UK), S.Lamperski (Department of Physical Chemistry,
Faculty of Chemistry, A.Mickiewicz University, Grunwaldzka 6, 60-780
Poznan, Poland)
The exclusion volume approximation in the Poisson-Boltzmann theory is analysed at the mean field level for an ion-dipole mixture against a plane, uniformly charged hard wall. An earlier treatment is extended to take account of the deviation of the exclusion volume term from the uncharged wall - uncharged hard sphere distribution function. Preliminary numerical results are presented for a 1:1 electrolyte at $c=1.0\,\text{mole/dm}^{3}$ with unequal ion and dipole sizes.
Key words: excluded volume term, Poisson-Boltzmann, ion-dipole mixture,
electric double layer
PACS: 68.08.-p
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