Binodal Compositions of Polyelectrolyte Complexes

When oppositely charged polyelectrolytes are mixed below a critical salt concentration, their mixtures show macroscopic phase separation into a dilute and a dense, polyelectrolyte complex phase. Binodal compositions of the polyelectrolyte complexes have been measured experimentally using fluorescently labeled polyelectrolytes. We used fluorescein-labeled poly(acrylic acid) (PAA) of four different chain lengths (N = 20, 50, 150, and 510) to determine the binodal compositions of polyelectrolyte complexes of PAA and poly(N,N-dimethylaminoethyl methacrylate) (PDMAEMA) of similar chain lengths. The water content of polyelectrolyte complexes obtained has a lower limit of about 65%, practically independent of chain length, and increases with increasing salt concentration. We interpret our results on binodal compositions, water content and critical salt concentration as a function of chain length using the mean-field model of Voorn and Overbeek and find good quantitative agreement with our experiments using only one adjustable parameter. We believe that such a model can be used to predict equilibrium concentrations also for other strongly charged flexible polyelectrolytes.