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Theoretical justification of the von Weimarn law under homogeneous condensation in the free-molecular regime

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Abstract

The von Weimarn (Weymarn) law establishes the power dependence for the radius of formed droplets on vapor supersaturation initially created in the system. A theoretical derivation of this law is presented based on the classical Volmer–Becker–Döring–Zel’dovich–Frenkel approach. Analytical expressions have been obtained for all coefficients in this law.

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References

  1. P. P. von Weimarn, Chem. Rev. 2, 217 (1925).

    Article  Google Scholar 

  2. F.-P. Ludwig and J. Schmelzer, J. Colloid Interface Sci. 181, 503 (1996).

    Article  Google Scholar 

  3. M. Volmer, Z. Elektrochem. Angew. Phys. Chem. 35, 555 (1929).

  4. R. Becker and W. Döring, Ann. Phys. 24, 719 (1935).

  5. J. B. Zeldovitch, J. Exp. Theor. Phys. (USSR) 24, 749 (1942).

    Google Scholar 

  6. J. Frenkel, Kinetic Theory of Liquids (Oxford Univ. Press, New York, 1977).

    MATH  Google Scholar 

  7. D. Kashchiev, Nucleation: Basic Theory with Applications (Butterworth–Heinemann, Oxford, 2000).

    Google Scholar 

  8. V. G. Dubrovskii, M. A. Kazansky, M. V. Nazarenko, and L. T. Adzhemyan, J. Chem. Phys. 134, 094507 (2011).

    Article  ADS  Google Scholar 

  9. F. M. Kuni, A. P. Grinin, and A. S. Kabanov, Kolloidn. Zh. 46, 440 (1984).

    Google Scholar 

  10. F. M. Kuni, The Kinetics of Condensation under the Dynamical Conditions, Preprint IPT-84-178E (Institute of Theoretical Physics, Kiev, 1984).

    Google Scholar 

  11. A. P. Grinin, F. M. Kuni, and V. B. Kurasov, Vestn. Leningr. Univ., Ser. 4: Fiz., Khim. 2, 28 (1987).

    Google Scholar 

  12. V. G. Dubrovskii, Theory of Formation of Epitaxial Nanostructures (Fizmatlit, Moscow, 2009) [in Russian].

    Google Scholar 

  13. V. G. Dubrovskii, M. V. Nazarenko, L. C. Chuang, et al., Appl. Phys. Lett. 98, 153113 (2011).

    Article  ADS  Google Scholar 

  14. V. G. Dubrovskii, J. Chem. Phys. 131, 164514 (2009).

    Article  ADS  Google Scholar 

  15. V. G. Dubrovskii and M. V. Nazarenko, J. Chem. Phys. 132, 114507 (2010).

    Article  ADS  Google Scholar 

  16. V. G. Dubrovskii and M. V. Nazarenko, J. Chem. Phys. 132, 114508 (2010).

    Article  ADS  Google Scholar 

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Correspondence to V. B. Kurasov.

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Original Russian Text © V.B. Kurasov, 2016, published in Pis’ma v Zhurnal Tekhnicheskoi Fiziki, 2016, Vol. 42, No. 15, pp. 7–12.

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Kurasov, V.B. Theoretical justification of the von Weimarn law under homogeneous condensation in the free-molecular regime. Tech. Phys. Lett. 42, 772–774 (2016). https://doi.org/10.1134/S1063785016080095

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  • DOI: https://doi.org/10.1134/S1063785016080095

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