A new method is proposed for the determination of the stationary one-component nucleation rate J with the help of data for the growth probability P_2 of a dimer which is the smallest cluster of the nucleating phase.The method is based on an exact formula relating J and P_2,and is readily applicable to computer simulations of nucleation.Using the method,the dependence of J on the supersaturation s is determined by kinetic Monte Carlo simulations of two-dimensional (2D) nucleation of monolayers on the (100) face of Kossel crystal.The change of J over nearly 11 orders of magnitude is followed and it is found that the classical nucleation theory overestimates the simulation J values by an s-dependent factor.The 2D nucleus size evaluated via the nucleation theorem is described satisfactorily by the classical Gibbs-Thomson equation and its corrected version accounting for the spinodal limit of 2D nucleation.
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