Static, thermodynamic, and rheological data of polymerically stabilize
d colloidal dispersions are usually predicted on the basis of ad hoc h
ard sphere models. Here, the specific effects of the grafted polymers
are explicitly taken into account through a hard core plus a soft tail
potential. A systematic analysis of structural and thermodynamic quan
tities is performed by using the thermodynamically self-consistent int
egral equation scheme of Rogers and Young. Criteria to construct refer
ence hard sphere systems, showing quantitative agreement with the true
systems, are presented. It is shown that there are regions of the pot
ential parameter space where the hard sphere modelization is not possi
ble and where the true potential has to be used.