In our latest communication,
we proved experimentally that the
ionic surfactant’s surface excess is exclusively determined
by the size of the hydrated counterion.[
Lunkenheimer
Lunkenheimer
10.1021/acs.langmuir.7b00786Langmuir,2017331021610224. However, at this stage of research, we were unable to decide whether
this does only hold for the two or three lightest ions of lithium,
sodium, and potassium, respectively. Alternatively, we could also
consider the surface excess of the heavier hydrated alkali ions of
potassium, rubidium, and cesium, having practically identical ion
size, as being determined by the cross-sectional area of the related
anionic extended chain residue. The latter assumption has represented
state of art. Searching for reliable experimental results on the effect of the heavier counterions
on the boundary layer, we have extended investigations to the amphiphiles’
solutions of concentrations above the critical concentration of micelle
formation (cmc).We provided evidence that the super-micellar solutions’
equilibrium surface tension will remain constant provided the required
conditions are followed. The related σcmc-value represents
a parameter characteristic of the ionic surfactant’s adsorption
and micellization behavior. Evaluating the amphiphile’s surface
excess obtained from adsorption as a function of the related amphiphile’s
σcmc-value enables you to calculate the radius of
the hydrated counterion valid in sub- and super-micellar solution
likewise. The σcmc-value is directly proportional
to the counterion’s diameter concerned. Taking additionally
into account the radii of naked ions known from crystal research,
we succeeded in exactly discriminating the hydrated alkali ions’
size from each other. There is a distinct sequence of hydration radii
in absolute scale following the inequality, Li+ > Na+ > K+ > (NH4)+ >
Rb+ > Cs+. Therefore, we have to extend our
model of counterion
effectiveness put forward in our previous communication. It represents
a general principle of the counterion effect.