H. Weingartner et W. Schroer, LIQUID-LIQUID PHASE SEPARATIONS AND CRITICAL-BEHAVIOR OF ELECTROLYTE-SOLUTIONS DRIVEN BY LONG-RANGE AND SHORT-RANGE INTERACTIONS, Journal of molecular liquids, 65-6, 1995, pp. 107-114
The discovery of liquid-liquid phase separations in electrolyte soluti
ons with critical points near room temperature enables the systematic
study of the critical behavior of ionic fluids. Depending on the detai
ls of the molecular interactions mean-field-like criticality, Ising cr
iticality or crossover from mean-field to Ising criticality is observe
d. Mean-field behavior occurs in systems which in the framework of a s
imple corresponding states model are fairly close to the theoretical c
ritical point of the ''restricted primitive model (RPM)'' of equally-s
ized charged spheres in a dielectric continuum (so-called Coulombic ph
ase separations). In these cases the phase transition is driven by the
long-range Coulombic forces and may be modeled by a Bjerrum-type theo
ry for ion pair association plus an additional term for the interactio
n between the ion pairs and free ions. The presence of additional shor
t-range interactions shifts the phase transitions towards higher reduc
ed temperatures and/or densities in the corresponding states plot. Two
major examples are solvophobic unmixings in aqueous solutions of tetr
aalkylammonium salts and unmixings of salts with hydrogen-bonds betwee
n cations and anions (sticky ion pairs). Such systems exhibit Ising-li
ke criticality. In the intermediate range crossover is observed. Possi
ble scenarios for explaining the mean-field-Ising dichotomy are discus
sed, indicating a major role of the dielectric constant of the solvent
in determining critical behavior.