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Kinetic Constants in Nucleation from Aqueous Solution

Abstract

ACCORDING to classical nucleation theory1 the nucleation rate is related to the crystallization temperature and super-cooling by the equation: where J is the nucleation rate, A is a kinetic constant, σ is the interfacial free energy per unit area between the forming phase and the metastable phase, V is the volume of one molecule of the forming phase, N is Avogadro's number, R is the gas constant, Tc is the crystallization temperature, ΔS is the difference in entropy between two phases of infinite volume referred to one molecule and ΔT = TsTc, where Ts is the saturation temperature of the solution. Assuming σ and ΔS are temperature independent we have: where B is a constant.

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References

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MELIA, T., MOFFITT, W. Kinetic Constants in Nucleation from Aqueous Solution. Nature 201, 1024–1025 (1964). https://doi.org/10.1038/2011024a0

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