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We present a theoretical model describing the current transient behaviorobserved during electrodeposition in an opal modified electrode. As a basicunit we consider a cylindrical vessel with a porous and corrugated surface,whose radius changes periodically with z, the vertical axis of the corrugatedvessel. According to the model, the porous network is formed by the replicationof those units, put side by side in close contact, and impregnated by anelectrolytic solution. Through the lateral surface of those cylinders we allowfor a selective flux of species. The inward or outward flux obeys a complexdynamics regulated by the competition between the diffusion kinetics and thechemical kinetics that answer for the reduction of species at a reactivesurface located at the bottom of the cylindrical cavities. The analyticalexpression for the current transient is complemented by a random prescriptionfor the influx or outfluxes of matter through the lateral surface plus amodulation in its intensity that follows the surface corrugation. Thetheoretical data are compared with the current transients obtained innanosphere lithography experiments.

Can a cylindrical geometry describe reaction-driven diffusion in nanometric porous media?