The
phase transfer of ions is driven by gradients of chemical potentials
rather than concentrations alone (i.e., by both the molecular forces
and entropy). Extraction is a combination of high-energy interactions
that correspond to short-range forces in the first solvation shell
such as ion pairing or complexation forces, with supramolecular and
nanoscale organization. While the latter are similar to the long-range
solvent-averaged interactions in the colloidal world, in solvent extraction
they are associated with lower characteristic lengths of the nanometric
domain. Modeling of such complex systems is especially complicated
because the two domains are coupled, whereas the resulting free energy
of extraction is around k
B
T to guarantee the reversibility of the practical process. Nevertheless,
quantification is possible by considering a partitioning of space
among the polar cores, interfacial film, and solvent. The resulting
free energy of transfer can be rationalized by utilizing a combination
of terms which represent strong complexation energies, counterbalanced
by various entropic effects and the confinement of polar solutes in
nanodomains dispersed in the diluent, together with interfacial extractant
terms. We describe here this ienaics approach in the context of solvent
extraction systems; it can also be applied to further complex ionic
systems, such as membranes and biological interfaces.