Bipolar wave current, with both positive and negative current portions, is used to electrodeposit a nanocrystalline grain size deposit. Polarity Ratio is the ratio of the absolute value of the time integrated amplitude of negative polarity current and positive polarity current. Grain size can be precisely controlled in alloys of two or more chemical components, at least one of which is a
metal, and at least one of which is most electro-active. Typically, although not always, the amount of the more electro-active material is preferentially lessened in the deposit during times of negative current. The deposit also exhibits superior macroscopic quality, being relatively crack and void free. Parameters of
current density, duration of pulse portions, and composition of the bath are determined with reference to constitutive relations showing grain size as a function of deposit composition, and deposit composition as a function of Polarity Ratio, or, perhaps, a single relation showing grain size as a function of Polarity ratio. A specified grain size can be achieved by selecting a corresponding Polarity Ratio, based on these relations. Coatings can be in
layers, each having an average grain size, which can vary layer to layer and also in a region in a graded fashion. Coatings can be chosen for
environmental protection (
corrosion, abrasion), decorative properties, and for the same uses as a hard chrome
coating. A finished article may be built upon a substrate of electro-conductive plastic, or
metal, including steels, aluminum,
brass. The substrate may remain, or be removed.