Static structure factor of a suspension of charge-stabilized colloids: Application to liquid-glass transition phase diagram and to micellar solution

The charge-stabilized colloidal dispersion is modeled by a mixture of spherical charged hard spheres whose static partial structure factors were analytically solved by the mean spherical approximation (MSA). For point-like small ions (counterions and electrolyte), this so-called primitive model (PM) can be shown to yield exactly the same macroion–macroion structure factor S(q) as that of the effective one-component model (OCM). Such structural equivalence permits the use of the PM S(q) as input data to the idealized version of mode-coupling theory and hence the determination of the liquid-glass transition loci for a charge-stabilized colloidal dispersion. Numerically it is found that, for the whole boundary of the predicted liquid-glass transition loci, the portion of the line along 0<η≲0.43 reveals an inadequacy in the S(q) since its corresponding pair correlation function near the distance of contact approaches a negative value. This inherent shortcoming of the MSA has previously been noted mostly for t...