Revised mathematical model of the homogeneous nucleation rate

Since the surface tension value under a plane surface is too high and the calculated critical work to trigger nucleation is too low, the surface tension value under a concave surface has been quantitatively revised based on theoretical deductions and an assumption of a cubic molecular group. On the basis of this assumption, it is shown that nucleation will occur only if energy of all the molecules in the cubic group is larger than the nucleation barrier. The new model has been used to solve the nucleation rate in the temperature range 42 to 300°C and has been validated; thus the model can be used to solve for the homogeneous nucleation rate.