Numerical simulation of partially blocked electrodes under cyclic voltammetry conditions: influence of the block unit geometry on the global electrochemical properties

Mathematical modelling and numerical simulation of cyclic voltammetry at an electrode covered with an insulating film containing cylindrical micropores

“…This distribution is easily calculated if the pores are uniformly distributed on the electrode surface but the more complex case of a random distribution is also considered in this work. This generic approach has already been used for blocked electrodes and has been shown to be very computationally very efficient whilst retaining physical accuracy [8][9][10][11][12].…”

“…Our previous work with partially blocked electrodes [8][9][10][11][12] clearly showed that the geometrical specificities (such as a block or a pore edge) had non-negligible effects on the mass transport behaviour and that therefore a simplified mathematical model was not sufficient to fully describe the electrochemical behaviour of those kind of modified electrodes.…”

“…In this paper we build on the insights gained from blocked electrodes [8][9][10][11][12] and present a general model for a planar electrode modified with non-interconnected cylindrical pores of uniform size but with different pore-location distributions, including the random case, under cyclic voltammetry conditions. The choice of cyclic voltammetry is justified as it is a very powerful technique to interpret qualitative and semi-quantitative behaviour [1].…”

A New Method for the Study of Processes at the Liquid–Liquid Interface Using an Array of Microdroplets on a Au Electrode

“…The key element in the modelling of such a system is the diffusion domain approach, which has been described in detail in previous publications. [8][9][10][11][12] Here, we only give a brief summary for the reader's convenience. The droplets are uniformly distributed on the electrode surface and obey a hexagonal packing geometry characterized by the parameter p (see Figure 2).…”

“…(2) and (3)] was normalized and solved using a fully implicit finite-difference scheme [12] combined with the Thomas algorithm [12] while, in the case of the diffusion domain model, the Alternating Direction Implicit (ADI) method, [12] combined with a modified version of the Thomas algorithm, [13] was used to solve the system of equations arising from the normalization of the models [Eq. (5) and Table 1…”