Ordinarily electrochemical nucleation is treated, within the classical Gibbs theory. This approach makes it possible to obtain a simple expression for the critical radius of a growing particle [1-7]:  rc = К(σ/μ) , (1) where σ is the specific surface energy and μ is the change in volume energy during  the phase transition (i.e., upon nucleation), and K is the particle shape factor.  We have found that generally the expressions for the particle critical radius and energy obtained from the combination of the Cahn - Hilliard nucleation model and statistical models such as (the Heisenberg model) do not contradict those in classical nucleation theory.