Interrelation between cluster formation time, cluster growth probability, and nucleation rate

Kashchiev, Dimo
August 2007
Journal of Chemical Physics;8/14/2007, Vol. 127 Issue 6, p064505
Academic Journal
Approximate expressions are derived for the mean time τ for formation of a cluster of n molecules in nucleation of single-component phases. The derivation elucidates the interrelation between τ, the cluster growth probability P, and the stationary nucleation rate. The extraction of both τ(n) and P(n) data from individual cluster growth curves obtained in experiments or simulations is discussed. It is shown that the analysis of τ(n) data allows a model-independent determination of the nucleus size, the Zeldovich factor, the stationary nucleation rate, the frequency with which molecules are attached to the nucleus, and the difference between the works to form the nucleus and the smallest “cluster” of one molecule.


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