Binding heterogeneity analysis is applied to charge-pH curves measured
by Dempsey and O'Melia on fulvic acid samples. To calculate the affin
ity distribution function, derivatives of the overall proton adsorptio
n isotherm are required. These derivatives are obtained by processing
the basic data (pH as a function of added volume) by a smoothing splin
e algorithm. Apparent affinity distributions, calculated on the basis
of charge-pH curves, depend on ionic strength due to electrostatic eff
ects. For the calculation of the intrinsic affinity distributions, the
''master curve' procedure is applied. To account for the electrostati
c effects, an electrostatic double-layer model for rigid spheres is us
ed. The resulting intrinsic affinity distribution can be described by
a set of two semi-Gaussian peaks. Combination of the intrinsic affinit
y distribution with the electrostatic double-layer model leads to a pe
rfect prediction of the charge-pH curve for a third intermediate ionic
strength.