Macromolecules, Vol.28, No.15, 5338-5346, 1995
Theory for Radii and 2nd Virial-Coefficients .2. Weakly Charged Polyelectrolytes
We compare simple models for the radii of gyration and second virial coefficients of weakly charged polymers. In the preceding paper (paper 1) we found that highly charged chains are well modeled as flexible rods whose persistence length and effective width depend on linear charge density and ionic strength. Here we define a ratio of effective persistence length to effective chain width. When this ratio falls below 1, as for weakly charged polymers, coil radii and virial coefficients are better modeled as chains of beads, as in Flory-Huggins theory, than as chains of rodlike segments, as in many polyelectrolyte theories. For small coils of partially ionized chains, we also find it is important to account for the changing of ionization state of the monomers with radius, and we generalize a variational method of Sharp and Honig to treat this situation in terms of intrinsic pK’s and solution pH.