Mathematical Modeling of the Limiting Current Density from Diffusion-Reaction Systems

The limiting current density is one of to the most important indicators in electroplating for the maximal current density from which a metal can be deposited effectively from an electrolyte. Hence, it is an indicator of the maximal deposition speed and the homogeneity of the thickness of the deposited metal layer. For these reasons, a major interest in the limiting current density is given in practical applications. Usually, the limiting current density is determined via measurements. In this article, a simple model to compute the limiting current density is presented, basing on a system of diffusion-reaction equations in one spatial dimension. Although the model formulations need many assumptions, it is of special interest for screenings, as well as for comparative work, and could easily be adjusted to measurements.

Automated summary

The limiting current density is a crucial indicator in electroplating, representing the maximum current density at which a metal can be effectively deposited from an electrolyte. This article presents a simple model for computing the limiting current density based on diffusion-reaction equations in one spatial dimension. The model, although making various assumptions, is particularly useful for screening and comparative work and can be easily adjusted to experimental measurements.