Abstract
Various nucleation models use their own set of approximations, have their own range of validity and certain fundamental and technical limitations. Therefore it is desirable to formulate some general, model-independent statements which would establish the relationships between the physical quantities characterizing the nucleation behavior. One of such statements was proposed by Kashchiev [1] later on termed the Nucleation Theorem(NT). In 1996 Ford [2] derived another general statement which was termed the Second Nucleation Theorem. Since then Kashchiev’s result and its generalization is sometimes also referred to as the First Nucleation Theorem.
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Notes
- 1.
Bowles et al. [4] showed that the Nucleation Theorem is a powerful result which is not restricted to nucleation, as its name suggests, but refers to all equilibrium systems containing local nonuniform density distributions stabilized by external field (not only a nucleus in nucleation theory).
References
D. Kashchiev, J. Chem. Phys. 76, 5098 (1982)
I.J. Ford, J. Chem. Phys. 105, 8324 (1996)
D.W. Oxtoby, D. Kashchiev, J. Chem. Phys. 100, 7665 (1994)
R.K. Bowles, D. Reguera, Y. Djikaev, H. Reiss, J. Chem. Phys. 115, 1853 (2001)
I.J. Ford, Phys. Rev. E 56, 5615 (1997)
T.L. Hill, J. Chem. Phys. 36, 3182 (1962)
T.L. Hill, Thermodynamics of Small Systems (Dover, New York, 1994)
D. Kashchiev, J. Chem. Phys. 125, 014502 (2006)
V.I. Kalikmanov, D.G. Labetski, Phys. Rev. Lett. 98, 085701 (2007)
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Kalikmanov, V.I. (2013). Nucleation Theorems. In: Nucleation Theory. Lecture Notes in Physics, vol 860. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3643-8_4
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DOI: https://doi.org/10.1007/978-90-481-3643-8_4
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