Thermodynamic analysis of energy vs distance plots for the interaction
of silica and mica surfaces in solutions of CTAB (cetyltrimethylammon
ium bromide) and similar surfactants at different concentrations shows
that the long range attraction observed around the point of zero char
ge (pzc) is a charge regulation effect enchanced by the cooperativity
of the cationic surfactant adsorption at anionic hydrophilic surfaces.
The application of the Gibbs adsorption equation to experimental data
shows that in the low concentration regime the adsorption increases w
ith decreasing separation. This is due to an electrostatic contributio
n to the free energy of adsorption which increases as surfaces approac
h. An additional adsorption energy gain arises from association of hyd
rophobic tails when a sufficiently large adsorption density is reached
and two-dimensional micellization is enhanced in the gap. A small inc
rease of the electrochemical potential with decreasing separation give
s rise to a large increase of adsorption. The double-layer repulsion a
t long distances corresponds to the ordinary DLVO result as long as ch
anges in adsorption with separation remain small. At smaller separatio
ns the potential falls below its initial value because of the cooperat
ive adsorption of the potential-determining ion, which results in the
shift of the pzc to lower concentrations at close separations. The int
eraction is more attractive than would be expected from the constant p
otential approximation. The interaction pattern determined by equilibr
ium surfactant adsorption is different from that for nonpolar surfaces
in pure water. An enhancement of adsorption in confined geometries is
typical of condensation phenomena. A similar mechanism occurs for dep
osited monolayers of insoluble surfactants.