  During the processes of nucleation and growth of a precipitate cluster from a
supersaturated solution, the diffusion flux between the cluster and the
solution changes the solute concentration near the cluster-solution interface
from its average bulk value. This feature affects the rates of attachment and
detachment of solute atoms at the interface and, therefore, alters the entire
nucleation kinetics. Unless quite obvious, this effect has been ignored in the
classical nucleation theory. To illustrate the results of this new approach,
for the case of homogeneous nucleation, we calculate the total solubility
(including the contribution from heterophase fluctuations) and the nucleation
rate as functions of two parameters of the model and compare these results to
the classical ones. One can conclude that discrepancies with the classical
nucleation theory are great in the diffusion-limited regime, when the bulk
diffusion mobility of solute atoms is small compared to the interfacial one,
while in the opposite interface-limited case they vanish.
