The equilibrium surface tension of anionic surfactant n-decyl sulfate (DS-) for various monovalent
(alkali) counterions was investigated. It was found that surface activity of surface chemically pure DS-
significantly increases with decreasing hydrated size of the counterion. We describe our experimental
results in terms of the previously developed adsorption model, which assumes that the counterions may
penetrate the Stern layer where the surfactant headgroups are adsorbed. The headgroups and counterions
have a finite size that leads to the surface exclusion effects in the adsorption isotherm. The model is
improved by explicitly taking into account the electric interactions between adsorbed ions in the adsorbed
layer. We obtain a good correlation between the relative counterion size in the Stern layer, the measure
of the area excluded by the adsorbed counterions, and the effective radius of the hydrated counterion in
the solution. The limiting areas per molecule at the critical micelle concentration for the adsorbed decyl
sulfate for various counterions are in good agreement with those measured by neutron scattering.
Thermodynamics of micelle formation of anionic surfactants was investigated by using isothermal titration
calorimetry (ITC). Highly purified decyl and dodecyl sulfates have been used to analyze the effect of counterions
(Li+, Na+, K+, and Cs+) on critical micelle concentration (cmc) and enthalpy of micellization (ΔH
mic)
determined between 10 and 60 °C. The enthalpy of micellization decreases strongly with increasing temperature
and passes trough zero (endothermic to exothermic processes), while the cmc versus temperature exhibits a
minimum. At a given temperature and for a fixed chain length, the decrease of cmc and ΔH
mic in the order
Li+ > Na+ > K+ > Cs+ is related to the increase of the binding of counterions to micelles. The electrostatic
repulsions between ionic headgroups, which prevent the aggregation, are progressively screened as the ionic
character decreases with the size of the counterion. The heat of dilution of micelles is markedly dependent
on temperature and is correlated with the temperature-dependent shape of micelles. The cmc concept has an
exact meaning within the so-called phase separation model of micelle formation. Therefore, free energy and
entropy were deduced from the cmc and enthalpy of micellation using this model by taking into account the
counterion binding. The temperature changes of ΔS
mic indicate that the process of micellization is entropically
driven. ΔG
mic is always negative (thermodynamically favored process) and slightly temperature and counterion
dependent.
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