Abstract
The problem of self-consistent renormalization of the Zeldovich nucleation rate for the formation of a two-dimensional (2D) III–V compound crystal in the volume of Au–III–V ternary solution has been theoretically studied. A physicochemical model is proposed for 2D nucleus formation during growth from this solution according to the vapor–liquid–solid (VLS) mechanism. A formula is derived for the work of nucleus formation, which vanishes as the critical nucleus size tends to unity. An expression for the nucleation rate is obtained, according to which this rate varies by orders of magnitude as a result of the renormalization.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
S. L. Girshick and C.-P. Chiu, J. Chem. Phys. 93, 1273 (1990).
S. L. Girshick and C.-P. Chiu, J. Chem. Phys. 94, 826 (1991).
D. Kashchiev, Nucleation: Basic Theory with Applications (Butterworth–Heinemann, Oxford, 2000).
D. Kashchiev, J. Chem. Phys. 129, 164701 (2008).
V. G. Dubrovskii and M. V. Nazarenko, J. Chem. Phys. 132, 114507 (2010).
V. G. Dubrovskii, Nucleation Theory and Growth of Nanostructures (Springer, Heidelberg, 2014).
F. Glas, J. C. Harmand, and G. Patriarche, Phys. Rev. Lett. 99, 146101 (2007).
V. G. Dubrovskii, Tech. Phys. Lett. 37 (1), 53 (2011).
E. Gil, V. G. Dubrovskii, G. Avit, et al., Nano Lett. 14, 3938 (2014).
V. G. Dubrovskii, I. P. Soshnikov, G. E. Cirlin, et al., Phys. Status Solidi (b) 241, R30 (2004).
V. G. Dubrovskii and J. Grecenkov, Cryst. Growth Des. 15, 340 (2015).
S. A. Kukushkin and A. V. Osipov, Prog. Surf. Sci. 51, 1 (1996).
V. G. Dubrovskii, Phys. Stat. Sol. (b) 171, 345 (1992).
F. Glas, J. Appl. Phys. 108, 073506 (2010).
V. G. Dubrovskii, Phys. Rev. B 87, 195426 (2013).
A. Venables, G. D. T. Spiller, and M. Hanbucken, Rep. Prog. Phys. 47, 399 (1984).
V. G. Dubrovskii, N. V. Sibirev, X. Zhang, et al., Cryst. Growth Des. 10, 3949 (2010).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.G. Dubrovskii, 2015, published in Pis’ma v Zhurnal Tekhnicheskoi Fiziki, 2015, Vol. 41, No. 18, pp. 102–110.
Rights and permissions
About this article
Cite this article
Dubrovskii, V.G. Self-consistent renormalization in the theory of binary nucleation in ternary solutions. Tech. Phys. Lett. 41, 915–918 (2015). https://doi.org/10.1134/S1063785015090199
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063785015090199