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Phase transformations ruled by non-simultaneous nucleation and growth do notlead to random distribution of nuclei. Since nucleation is only allowed in theuntransformed portion of space, positions of nuclei are correlated. In thisarticle an analytical approach is presented for computing pair-correlationfunction of nuclei in progressive nucleation. This quantity is further employedfor characterizing the spatial distribution of nuclei through the nearestneighbor distribution function. The modeling is developed for nucleation in 2Dspace with power growth law and it is applied to describe electrochemicalnucleation where correlation effects are significant. Comparison with bothcomputer simulations and experimental data lends support to the model whichgives insights into the transition from Poissonian to correlated nearestneighbor probability density.

Spatial distribution of nuclei in progressive nucleation: modeling and application