Taylor
dispersion and dynamic light scattering techniques were
used to measure the ternary diffusivity matrix [D] and
the micelle gradient diffusion coefficient, respectively, in crowded
aqueous solutions of decaethylene glycol monododecyl ether (C12E10) and decane. The results indicate that C12E10 diffused down its own gradient with the micelle
gradient diffusivity while decane diffused down a decane gradient
at a much slower rate. Furthermore, strong diffusion coupling, comprising
decane diffusion down a surfactant gradient and surfactant diffusion
up a decane gradient, was also observed with cross diffusivities that
were on the order of or larger than the main diffusivities. Measurements
of the micelle aggregation number, hydration index, and the hydrodynamic
radius, obtained using both static and dynamic light scattering methods,
indicate that decane-containing micelles interacted as hard spheres
and had radii and aggregation numbers that increased linearly with
the molar ratio of solute to surfactant. A theoretical model, developed
using Batchelor’s theory for gradient diffusion in a polydisperse
system of interacting hard spheres, was effectively used to predict
[D] with no adjustable parameters. A comparison with
the theory indicates that decane diffused down its own gradient by
micelle self-diffusion while surfactant diffused
down a surfactant gradient by micelle gradient diffusion.
It is also shown that intermicellar interactions drove decane diffusion
down a C12E10 gradient by a volume exclusion
effect while an increase in the micelle aggregation number and hydrodynamic
radius with decane was necessary to drive surfactant diffusion up
a decane gradient.