The two different modes of bulk crystal growth by liquid phase electro
epitaxy: (i) constant electric current density, and (ii) constant crys
tal growth velocity, have been analyzed by employing one dimensional m
ass transport model. In a constant current density mode, the growth ve
locity as a function of time is found to be of the form: V(t)= V-0 exp
(t/t(0)), with a characteristic time constant, t(0), entirely defined
by the initial growth conditions. The t(0) parameter can be varied fro
m a few days to a few hours, depending on the intensity of convection
in the melt and the initial current density. For an extended period of
the growth time, while growing bulk crystals by liquid phase electroe
pitaxy (LPEE), exponentially increasing growth velocity may result in
deteriorated growth interface stability and dendrites, in accordance w
ith experimental data. When the growth velocity is expected to remain
constant, while growing compositionally uniform bulk crystals by LPEE,
the current density should be varied with time in the following manne
r: J = J(0)(1 + t/t(0)) In this growth mode, the Joule heat produced i
n a growing crystal is gradually decaying with time, thus, bulk crysta
ls of virtually unlimited thickness are feasible by LPEE. The above mo
del is particularly suitable in optimizing the LPEE growth parameters
when rotation of the substrate and/or source material is employed.