Electrocrystallization Modeling and Its Application

Mathematical modeling of the electrocrystallization processes and its applications has long been a subject dear to Martin Fleischmann. Indeed, both his earliest papers (e.g.. Refs [1,2]) and his last two publications [3,4] dealt with this topic. 

Developments in Electrochemistry Science Inspired by Martin Fleischmann, First Edition. Edited by Derek Fletcher, Zhong-Qun Tian and David E. Williams. 

The neatest and most effective way of investigating nucleation and two-dimensional (2D) growth is to record the current as a function of time when a constant potential is applied to a finite (but small) electrode substrate [7]. The prediction of the shape of the current-time transient recorded in a single experiment depends on the location of the nucleus on the electrode surface. However, such a prediction can be made from a repeated number of identical experiments [8,9]. 

The first obstacle in modeling the kinetics of electrocrystallization processes is formulating the coverage of an electrode by the depositing phase, . Two geometric representations 

E The expectation that a given point is covered by growing 

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Electrocrystallization Modeling and Its Application 51 and/or defined in Figure 3.2. Subscripts a and refer to... 

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