The anodic dissolution of nickel in chloride medium is treated for a stagnant solution and the hemispherical cavity geometry common to the dissolution of passivating, corrosion-resistant metals. A new coordinate system developed recently by the authors again proves to be useful in dealing with the problem numerically, particularly with regard to the singularity at the pit lip. The quasipotential transformation allows us to reduce the coupled, nonlinear partial differential equations governing the concentrations and the potential to a single linear equation, Laplace's equation, with a great reduction in computation time and an increase in the accuracy attainable. The method thus treats coupled diffusion and migration with an arbitrary number of facile homogeneous reactions and the participation of an arbitrary number of species in the heterogeneous electrode reaction. Numerical calculations for the dissolution of nickel in chloride solutions are compared with published experimental results.One might speculate that as long as mankind uses passivating metals for corrosion-protective coatings, researchers will be forced to attempt to quantify dissolution phenomena occurring within micropits, often referred to as pitting corrosion, in order to improve the coating properties. In a recent communication, 1 the authors developed a conformal transformation that allows for the mapping of the pit geometry onto an infinite strip. The finished transformation compresses the infinite strip onto a rectangular region over which a limited number of mesh points can be used to obtain accurate simulations, as was shown for secondary-current-distribution calculations subiect to linear or Tafel polarization. References to related modeling studies in this topic area are provided in Ref. I. The secondary current distribution applies to systems in which potential losses are attributable to ohmic drop through the electrolyte and surface overpotential associated with the electrochemical reaction. The influence of homogeneous reactions and transport resistance due to diffusional processes are added in this article.From a more general perspective, we can divide the contribution of this work into two parts. First, we show how it is possible to analyze complex electrochemical systems, including diffusion, migration, and facile homogeneous reactions, by reducing the problem to nearly the same level of mathematical difficulty as that of the secondary current distribution. That is, the governing system of coupled, nonlinear partial differential equations, one for each ion, can be recast as one linear partial differential equation, Laplace's equation, independent of the number of ions. This simplification is effected by means of a dependentvariable transformationY The unique aspect of this study, relative to those of Ref. 2 and 3, is the inclusion of the homogeneous reactions. The treatment we provide is valid for electrochemical systems in which (i) the transport phenomena can be described by the Nernst-Planck equation, (it) the homogeneous reactio...