We discuss a generalize Wagner number, a dimensionless system quantity
that was applied recently as a tool to analyze the gross features of
the morphology of quasi-two-dimensional electrodeposits. This generali
zed Wagner number incorporates the main processes involved in electrod
eposition (charge transfer across the solid-liquid interface, ionic mi
gration within the solution, and mass transport) and treats the LR pot
ential drop across the cell. It is pertinent to the gross form of the
deposit as well as to its texture and combines these different scales
within a single theoretical framework. We present a general derivation
, discuss several limiting cases, and suggest criteria for various mor
phological behaviors. We give explicit and simple expressions for a re
ctangular cell configuration, as an important example, discuss their v
alidity, and illustrate the behavior with model calculations.