The use of regularization methods in the deconvolution of underlying distributions in electrochemical processes

Many problems in electrocatalysis involve distribution of adsorption energi es. Similarly, electrochemical impedance spectroscopy often involves distri buted elements. Such problems are described by Fredholm integral equations and the underlying distribution functions may be solved using regularizatio n techniques. A software package developed recently was used to determine t he distribution function and the regularization parameters. Our studies sho w that it is relatively easy to obtain the adsorption energy distribution f unctions In simple cases. Comparison of the hydrogen adsorption on polycrys talline and monocrystalline (531) platinum shows similarities in the adsorp tion energies on both surfaces. Continuous (constant phase element and disc ontinuous (fractal model) time constant distribution functions in the imped ance were well reproduced, but in the more complex case (porous electrode) the method is more limited. (C) 1999 Elsevier Science S.A. All rights reser ved.