Voltammetric analysis of heterogeneity in metal ion binding by humics.

The complexation of Cd, Pb, and Cu by fulvic acids at a fixed pH and ionic strength is studied by means of different voltammetric techniques at any metal-to-ligand ratio. When using Reverse Pulse Polarography (RPP) the complex species are electrochemically labile and not subject to significant electrodic adsorption. RPP titrations of fulvic acid with metal ions are interpreted on the basis of a recently proposed analytical expression for limiting currents valid for fully labile heterogeneous complexation. The voltammetric data are transformed into the corresponding binding curve, i.e., the fraction of occupied sites vs free metal concentration. Finally, the competition between metal ions and protons in their interaction with the fulvic binding sites as well as the concomitant polyelectrolytic effects are analyzed in terms of the NICCA-Donnan model. The results show that voltammetric techniques can be applied to the studies of heterogeneous complex systems in a broad range of metal-to-ligand ratios.

Implementation of a chemical equilibrium constraint in the multivariate curve resolution of voltammograms from systems with successive metal complexes.

A multivariate curve resolution (MCR) method, using a constrained alternating least squares (ALS) procedure with a new chemical equilibrium constraint, was applied to differential-pulse polarograms of successive metal complexes. This new restriction imposes the fulfillment of a chemical model defined by a set of stability constants that are optimised along the iterative ALS procedure. The reliability of the method was tested with simulated data and with polarograms measured for the systems Zn(II) + glutathione and Cd(II) + 1,10-phenanthroline. These systems respectively yield two and three successive and electroactive complexes, which are inert from the electrochemical point of view, that is, the complexes virtually do not dissociate during the measurement. Although the presence of electrode adsorption could induce overestimation of some concentrations and losses of linearity between concentrations and signals, the results showed that the proposed method can yield satisfactory estimations of the stability constants in this kind of system. The performance of the new method is compared with the performances obtained using MCR-ALS without the equilibrium constraint and using traditional curve fitting least-squares approaches.

Soft- and hard-modeling approaches for the determination of stability constants of metal-peptide systems by voltammetry.

The Zn(2+)-glutathione system is studied as a model for metal-peptide systems where some critical factors must be considered when using voltammetric techniques for the determination of stability constants. These factors are the presence of side reactions (in this case, both the protonation of glutathione and the hydrolysis of Zn(2+)), the association-dissociation rates of the complexes compared with the time scales of the measurements (which makes the complexes electrochemically labile or inert), and the electron transfer kinetics on the electrode surface (which makes the metal ion reduction reversible or irreversible). For the study of these factors, three data treatment approaches have been applied: (i) the electrochemical hard-modeling approach (modelization of both chemical equilibrium and electrochemical processes), (ii) a chemical hard-modeling approach (modelization of chemical equilibria only, based on the least-squares curve-fitting program SQUAD), and (iii) a previously developed model-free soft-modeling approach based on multivariate curve resolution with a constrained alternating least-squares optimization. By analyzing differential pulse polarographic data obtained under different experimental conditions, the influence of the mentioned factors on every approach is discussed and, if possible, the corresponding stability constants are computed. The results of this study showed the potential usefulness of voltammetry in combination with hard- and soft-modeling data analysis for the study of peptide complexation equilibria of metal ions such as Zn which have neither relevant spectroscopic properties nor proper isotopes for NMR measurements.