information:filtering, information:classification
Applications

An hierarchy of sigmoid growth models with increasing complexity (number of parameters) was built with the primary goal to re-analyze kinetic data, the so called N-t curves, from heterogeneous nucleation experiments, in electrochemistry. The hierarchy includes at present three models, with 1, 2 and 3 parameters, if not counting the maximal number of nuclei N, respectively—a tanh 2 based model called α originally devised to describe diffusion-limited crystal growth (not aggregation!) in 2D, the Johnson–Mehl–Avrami–Kolmogorov (JMAK) model, and the Richards model. It was shown that for the concrete purpose even the simplest model works and thus it was implied that the experiments revisited are an example of two-step nucleation with the first step being the growth of the metastable phase in which the nuclei of the stable phase form.