Journal of Colloid and Interface Science, Vol.273, No.2, 369-380, 2004
Ionization of short polymethacrylic acid: titration, DLS, and model calculations
In this work the charging of polymethacrylic acid in excess electrolyte solution is investigated experimentally by fitration and dynamic light scattering. The results are analyzed by a penetrable sphere model, which employs the Poisson-Boltzmann equation for the description of electrostatic interactions and takes into account specific binding of H+ and Na+. The evaluation of the DLS data yields two relaxation modes. The slow mode is present only at finite degrees of charging and is therefore caused by collective diffusion. The fast mode, which corresponds to diffusion coefficients in the range from (1.1 to 1.5) x 10(-10) m(2) s(-1), is present over the whole pH range. This reflects the diffusional dynamics of the polyion itself and allows the calculation of hydrodynamic radii for equivalent spheres (RH). These increase from 1.5 nm at pH 2.14 up to 1.8 nm for a degree of deprotonation alpha = 0.47 at pH 5.86. With a further increase of pH the radii slightly decrease to 1.6 nm. Setting the radius of the penetrable sphere equal to RH, we can successfully model the overall charging curve with log K-H(0) - 4.85 and log K-Na(0) = -0.6. This means that weak complexes of the type COO-Na are formed, which reduce the effective charge inside the polyelectrolyte coil. (C) 2004 Elsevier Inc. All rights reserved.
Keywords:polyelectrolyte;polymethacrylic acid;PMA;charging;dynamic light scattering;DLS;model;nonlinear Poisson-Boltzmann equation;PDE2D;direct counterion binding