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Статья
2022

Consideration of Size Effect and the Absence of Clear Boundary between the Surface and Bulk at the Nucleation during Electrocrystallization


Yu. D. GamburgYu. D. Gamburg
Российский электрохимический журнал
https://doi.org/10.1134/S1023193522080043
Abstract / Full Text

A new equation for calculating the number of atoms in a critical nanocluster, which is suitable for the case of metal electrocrystallization, is derived. The equation takes into account the Tolman size factor (the dependence of specific surface energy on the cluster size) and/or the surface energy gradient, that is, the effect of subsurface atomic layers. At small overvoltages, the equation takes the classical form.

Author information
  • Frumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Sciences, Moscow, RussiaYu. D. Gamburg
References
  1. Frenkel, Ya.I., Kinetic Theory of Liquids, Oxford Univ. Press, 1946.
  2. Zhukhovitskii, D.I., Small clusters, High Temp., 1994, vol. 32, no. 2, p. 245.
  3. Gamburg, Yu.D., Fraction of surface atoms in nanoparticles and critical nuclei of a new phase, Russ. J. Phys. Chem., 2022, vol. 96, no. 1, p. 96. https://doi.org/10.31857/S0044453722010101
  4. Gamburg, Yu.D., The magic and spherical metallic nanoclusters and their properties as nuclei at phase transitions, in particular at electrocrystallization, Appl. Electrochem. Surf. Finish., 2022 (in press).
  5. Stoyanov, S., Current Topics in Material Science, North-Holland Publ., 1978, vol. 3.
  6. Vollath, D., Fischer, F.D., and Holec, D., Surface energy of nanoparticles—influence of particle size and structure, Beilstein J. Nanotechnol., 2018, vol. 9, p. 2265.
  7. Baranov, S.A., A possibility of applying the Cahn–Hilliard model for describing the processes of nanostructure electrodeposition, Elektron. Obrabotka Materialov, 2017, vol. 53, no. 2, p. 7.
  8. Tolman, R.C., The effect of droplet size on surface tension, J. Chem. Phys., 1949, vol. 17, p. 333.
  9. Weissmuller, J., Thermodynamics of crystalline solids, in Nanocrystalline Metals and Oxides, Kluwer, 2001, p. 1.