Abstract
We have considered the thermodynamics of the formation of cobalt clusters on the surface of a copper substrate and in its subsurface region. Free energies of the formation of surface and subsurface clusters are calculated, and their critical radii are estimated.
Similar content being viewed by others
References
J. Q. Xiao, J. S. Jiang, and C. L. Chien, Phys. Rev. Lett. 68, 3749 (1992).
D. M. Follstaedt, S. M. Myers, and G. A. Petersen, Electron. Mater. 25, 151 (1996).
J. W. Gibbs, Selected Works on Thermodynamics (Fizmatlit, Moscow-Leningrad, 1960), p. 492 [in Russian].
L. D. Landau and E. M. Livshits, Statistical Physics (Fizmatlit, Moscow, 2001) [in Russian].
T. Siahaan, O. Kurnosikov, H. J. M. Swagten, and B. Koopmans, Phys. Rev. B 90, 165419 (2014).
M. A. Turchanin and P. G. Agraval, Powder Metall. Met. Cer. 46, 77 (2007).
I. Prigogine and R. Defay, Chemical Thermodynamics (Wiley, New York. 1953), p. 505.
C. Herring, Phys. Rev. 82, 87 (1953).
O. Kitakami, H. Sato, Y. Shimada, F. Sato, and M. Tanaka, Phys. Rev. B 56, 13849 (1997).
J. Wang, D. Wolf, S. R. Philpot, and H. Gleiter, Phil. Mag. A 73, 517 (1996).
B. Ya. Lyubov, Diffusion Processes in Inhomogeneous Solids (Nauka, Moscow, 1975), p. 296 [in Russian].
Yu. V. Trushin, Sov. Phys. Tech. Phys. 32(2), 136 (1987).
M. N. Lubov, D. V. Kulikov, O. Kurnosikov, and Yu. V. Trushin, Bull. Russ. Acad. Sci.: Phys. 78(6), 481 (2014).
C. G. Zimmermann, M. Yeadon, K. Nordlund, et al., Phys. Rev. Lett. 83, 1169 (1999).
W. K. Burton, N. Cabrera, and F. C. Frank, Phil. Trans. R. Soc. (London) Ser. A 243. 299 (1951).
M. N. Lubov, D. V. Kulikov, Yu. V. Trushin, and O. Kurnosikov, Tech. Phys. 58(1), 42 (2013).
V. G. Dubrovskii, Theory of Formation of Epitaxial Nanostructures (Fizmatlit, Moscow, 2009), p. 350 [in Russian].
O. S. Hernan, A. L. Vasquez da Parga, J. M. Gallego, et al., Surf. Sci. 416, 106 (1998).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © M.N. Lubov, Yu.V. Trushin, 2015, published in Pis’ma v Zhurnal Tekhnicheskoi Fiziki, 2015, Vol. 41, No. 2, pp. 104–110.
Rights and permissions
About this article
Cite this article
Lubov, M.N., Trushin, Y.V. Thermodynamic determination of the critical radii of surface and subsurface cobalt clusters in the cobalt-copper system. Tech. Phys. Lett. 41, 102–105 (2015). https://doi.org/10.1134/S1063785015010277
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063785015010277