Various transfer functions were calculated for H permeation through a metallic membrane in a Devanathan cell. Surface processes such as H adsorption and evolution were taken into account in addition to the H penetration process and its diffusion through the bulk metal. The main transfer functions were the input impedance ΔV1/ΔI1 and the permeation transfer function ΔI2/ΔI1 between the output current and the input current from which the transconductance transfer function ΔI2/ΔV1 could be calculated. These quantities were obtained for potentiostatic controls of the input and/or the output sides. The effect of the changes of some characteristic kinetic parameters on these transfer functions were analyzed and their simplified expressions were derived for a few limiting cases. This gave a tool to interpret experimental data in a large set of conditions.

Transfer Function Analysis of Hydrogen Permeation through a Metallic Membrane in a Devanathan Cell – I – Theory. C.Gabrielli, G.Maurin, L.Mirkova, H.Perrot, B.Tribollet: Journal of Electroanalytical Chemistry, 2006, 590[1], 1-14