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Accurate theoretical results for interdigitated array of electrodes (IDAE) insemi-infinite cells can be found in the literature. However, these results arenot always applicable when using finite cells. In this study, theoreticalexpressions for IDAE in a finite geometry cell are presented. At known currentdensity, transient and steady state concentration profiles were obtained aswell as the response time to a current step. Concerning the diffusion limitedcurrent, a lower bound was derived from the concentration profile and an upperbound was obtained from the limiting current of the semi-infinite case. Thelower bound, which is valid when Kirchhoff's current law applies to the unitcell, can be useful to ensure a minimum current level during the design of theelectrochemical cell. Finally, a criterion was developed defining when thebehaviors of finite and semi-infinite cells are comparable. This allows toobtain higher current levels in finite cells, approaching that of thesemi-infinite case. Examples with simulations were performed in order toillustrate and validate the theoretical results.

Mathematical modeling of interdigitated electrode arrays in finite electrochemical cells