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NOTES ON AN EQUATION FOR RAINDROP EMBRYOS
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SIMILAR EQUATIONS FOR RAIN AND ICE EMBRYOS

ABSTRACT: Classical nucleation theory goes back to the early work by Lord Kelvin, Josiah Willard Gibbs and Max Volmer. A very good equation, of the form J = Aexp(K), was given by Blander/Katz (1975) for Bubble Nucleation in Liquids. Surface tension for polymer solutions comes from a workup by Siow/Patterson (1973). Jennings (2014) combined them to get a formula and then extended it to an equation, Jennings (2021), predicting the dew point (onset of rain) for a cloud. Pruppacher/Klett (1997) have their equation for rain embryos, J = Cexp(D), in the form of other homogeneous nucleation equations. The author maintains that these equations follow the same mathematics, so one can conclude that (dlnC/dD) = small as well as the similar form from complicated mathematics showing (dlnA/(dK) = 1/(6K) = – 0.26% in Jennings (2020). It is known that σ, the surface tension, dominates in calculating J, the nucleation rate, for both processes. In this paper the raindrop and ice germ equations will be presented. Young (1993) has an equation for the homogeneous freezing rate.

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