A set of critically cross-linked polystyrenesulfonates with fractal ge
ometry having molecular weights in the range 4.96 x 10(5) < M-w < 3.07
x 10(6) was prepared and characterized by viscometry in salt free aqu
eous solutions. Also these structures show the polyelectrolyte effect,
which is a strong increase in reduced viscosity with decreasing conce
ntration. Contrary to that in linear chains, the viscosity below the o
verlap concentration turned out to be molecular weight independent, wh
ich interestingly bridges the behavior between spheres and linear chai
ns. A quantitative evaluation of the data on the basis of a recently d
ecribed model of polyelectrolyte viscosity considering single particle
and cooperative multiparticle effects of the charges on viscosity rev
eals that the complete dependence on polymer concentration is describe
d by assuming only the effective charge number per polymer molecule, Z
(eff). It is not necessary to assume any concentration-dependent confo
rmational changes.