Kinetic Parameters and Size Distribution of the Nano-Nucleus

4 Kinetic Parameters and Size Distribution of the Nano-Nucleus 

We determine f N, t) and the shape of the nano-nucleus as follows. First, we note that which is f N, t) in the steady state, has to be in proportion to the Boltzmann distribution P N) for Af AT, where AT is Af of the critical nucleus [3,24], That is, 

This allows us to evaluate the kinetic parameters of the nano-nucleus, cr, 7e, and Aa, by fitting Pb(N) to the observed fst(N) using the following iteration method, which is one of the technical methods for simultaneously determining J N, i) and the shape of the nano-nucleus 

Step 1 Start from an appropriate set of kinetic parameters (in this study, the kinetic parameters of the macro-crystals in Reference [8]) and calculate Pb(A0 using Equation (4.22) and Equation (4.23). Obtain/st(A0 using Equation (4.21). 

Step 3 From the comparison, assume an improved set of kinetic parameters and recalculate Pb(AT) and /st(A7). Return to Step 2 and trace the loop between Step 3 and Step 2 to obtain the best fit between /st(A/) and PbW- Thus, we could finally determine correct /st(A7) and kinetic parameters. 

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