The investigations described refer predominantly to the study of the kinetics of electrocrystallization by potentiostatic methods. Experimental and theoretical investigations have been made over many years of both metallic, cathodic, and nonmetallic, anodic deposition processes, and it is shown how these are beginning to fit into a framework. Theoretical work from the school is described in which a fairly complete description (including diffusion in the solution and on the surface), of an electrode process has been formulated. This is given for potentiostatic conditions and for the application of small a.c. and is discussed in general terms. Some possibilities arise for a stricter examination of the diffusion phenomena.