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Summary: 2
Abstract.
Phil Attard
Introduction
Ion condensation in the electric double layer and the corresponding
PoissonBoltzmann effective surface charge
The effective surface charge obtained by fitting
the PoissonBoltzmann approximation to measured data is re
lated to the actual surface charge. Evaluation of the formally
exact expression, which depends upon the wallion direct cor
relation function, gives a precise measure of the amount of ion
condensation in the planar double layer. Results are presented
for 0.001, 0.01, and 0.1M monovalent and divalent restricted
primitive model electrolytes using the singlet hypernetted chain
closure with the first bridge diagram. In general the apparent
surface charge is less than the actual surface charge, due to the
influence of ionion correlations. Thus the PoissonBoltzmann
approximation underestimates the actual surface charge and
overestimates the amount of counterion binding. At high sur
face charge densities the apparent surface charge saturates, and
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