Usually the synthesis of nanowires by electrodeposition is controlled by transport (diffusion, convection or migration).Like the deposition in others systems (microelectrodes), the influence of each one on the velocity of the process depend of the bath preparation (support electrolyte, pH, concentration and kind of the species) the configuration of the cell and the electrodeposition method. For example for high ion concentration, without support electrolyte, the migration is the principal factor; with diluted solutions and support electrolyte, the diffusion takes the control. The effect of the convection depend of the configuration of the cell, if the working electrode (polycarbonate track-etched foil) are in the bottom of the cell, the natural convection could be important and if you applied a force convection (agitation or rotating disk) the convection will be the main factor in the deposition control.
In the next figure I show you a schematic representation of the process including SEM images and the relation ship with the current in a potenciostatic process.