Some new formulae applicable to electrochemical nucleation/growth/collision

This paper presents some new formulae applicable to electrochemical nucleation/growth/collision, and is divided into six parts. In the first part general formulae for probabilistic effects in space, time and energy are presented. Then in the second part a new paradigm for 2-D nucleation/growth/collision at constant potential is described. Part three summarizes our recent work on the diffusion-controlled growth of hemispherical nuclei, including the effects of non-equilibrium and preceding chemical reaction, while part four consists of a discussion of nucleation as a stochastic process, and includes formulae for spatial and temporal subsampling. Part five discusses the occurrence of inductive loops in sinusoidal and triangular potential scan measurements of nucleating systems, and finally part six lists some formulae in integral geometry applicable to crystal growth problems.