Supercooling and nucleation: Difference between revisions

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Volmer and Weber kinetic model <ref>M. Volmer and A. Weber "Keimbildung in übersättigten Gebilden", Zeitschrift für Physikalische Chemie '''119''' pp. 277-301 (1926)</ref> results in the following nucleation rate:
Volmer and Weber kinetic model <ref>M. Volmer and A. Weber "Keimbildung in übersättigten Gebilden", Zeitschrift für Physikalische Chemie '''119''' pp. 277-301 (1926)</ref> results in the following nucleation rate:


:<math>I^{VW} = N^{eq}(n^*) k^+(n^*) =  k^+(n^*) N_A \exp \left( -\frac{W(n^*)}{k_BT}  \right) \label{eq_IVW} </math>
:<math>I^{VW} = N^{eq}(n^*) k^+(n^*) =  k^+(n^*) N_A \exp \left( -\frac{W(n^*)}{k_BT}  \right) </math>
==Szilard nucleation model==
==Szilard nucleation model==
==Homogeneous nucleation temperature==
==Homogeneous nucleation temperature==

Revision as of 11:25, 28 July 2017

Supercooling, undercooling and nucleation.

Volmer and Weber kinetic model

Volmer and Weber kinetic model [1] results in the following nucleation rate:

Szilard nucleation model

Homogeneous nucleation temperature

The homogeneous nucleation temperature () is the temperature below which it is almost impossible to avoid spontaneous and rapid freezing.

Zeldovich factor

The Zeldovich factor [2] () modifies the Volmer and Weber expression \eqref{eq_IVW}, making it applicable to spherical clusters:

Zeldovich-Frenkel equation

Zeldovich-Frenkel master equation is given by

See also Shizgal and Barrett [3].

Nucleation theorem

See also

References

  1. M. Volmer and A. Weber "Keimbildung in übersättigten Gebilden", Zeitschrift für Physikalische Chemie 119 pp. 277-301 (1926)
  2. J. B. Zeldovich "On the theory of new phase formation, cavitation", Acta Physicochimica URSS 18 pp. 1-22 (1943)
  3. B. Shizgal and J. C. Barrett "Time dependent nucleation", Journal of Chemical Physics 91 pp. 6505-6518 (1989)
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