Abstract
The migration of an impurity atom over a honeycomb-type hexagonal lattice on a solid surface initiated by the diffusion of vacancies is theoretically studied. The case of small surface coverages of vacancies and impurity atoms is examined. The time dependence of the mean-square displacement at long time is demonstrated to be not very different from linear, whereas the spatial density distribution is close to a Gaussian profile, a result that makes it possible to introduce a diffusion coefficient. For the latter, an analytical expression is obtained, which differs from the product of the diffusion coefficient of vacancies and their relative concentration V v only by a numerical factor. The dependence of the diffusion coefficient of the impurity atom on the ratio p of the frequency of its jumps to the frequency of jumps of vacancies is analyzed. In the kinetic mode, when the frequency of jumps of the impurity atom is small, the diffusion coefficient of the impurity is a linear function of p, while in the opposite case, a saturation takes place, making this coefficient independent of the frequency of jumps of the impurity atom.
Similar content being viewed by others
References
T. Flores, S. Junghans, and M. Wutting, Surf. Sci. 371, 14 (1997).
A. K. Schmid, J. C. Hamilton, N. C. Bartelt, et al., Phys. Rev. Lett. 77, 2977 (1996).
R. van Gastel, E. Somfai, S. B. van Albada, et al., Phys. Rev. Lett. 86, 1562 (2001).
M. L. Grant, B. S. Swartzentruber, N. C. Bartelt, et al., Phys. Rev. Lett. 86, 4588 (2001).
M. L. Anderson, N. C. Bartelt, and B. S. Swartzentruber, Surf. Sci. 538, 53 (2003).
M. L. Anderson, M. J. D’Amato, P. J. Feibelman, et al., Phys. Rev. Lett. 90, 126102 (2003).
R. van Gastel, R. van Moere, H. J. W. Zandvliet, et al., Surf. Sci. 605, 1956 (2011).
M. J. A. Brummelhuis and H. J. Hilhorst, J. Stat. Phys. 53, 249 (1988).
J. B. Hannon, C. Klünker, M. Geisen, et al., Phys. Rev. Lett. 79, 2506 (1997).
T. J. Newman, Phys. Rev. B 59, 13754 (1999).
E. Somfai, R. van Gastel, S. B. van Albada, et al., Surf. Sci. 521, 26 (2002).
Z. Toroszkai, Int. J. Mod. Phys. B 11, 3343 (1998).
O. Bénichou and G. Oshanin, Phys. Rev. E 66, 031101 (2002).
M. J. A. Brummelhuis and H. J. Hilhorst, Phys. A 156, 575 (1989).
A. S. Prostnev and B. R. Shub, Russ. J. Phys. Chem. B 3, 602 (2009).
A. S. Prostnev and B. R. Shub, Russ. J. Phys. Chem. B 3, 830 (2009).
A. S. Prostnev and B. R. Shub, Russ. J. Phys. Chem. B 5, 525 (2011).
A. S. Prostnev and B. R. Shub, Russ. J. Phys. Chem. B 6, 65 (2012).
J. R. Hamming, Phys. Rev. A 136, 1758 (1964).
V. N. Kuzovkov and E. A. Kotomin, Rep. Prog. Phys. 51, 1479 (1988).
A. S. Prostnev and B. R. Shub, Russ. J. Phys. Chem. B 7, 568 (2013).
A. S. Prostnev and B. R. Shub, Russ. J. Phys. Chem. B 8, 420 (2014).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.S. Prostnev, B.R. Shub, 2016, published in Khimicheskaya Fizika, 2016, Vol. 35, No. 5, pp. 91–96.
Rights and permissions
About this article
Cite this article
Prostnev, A.S., Shub, B.R. Diffusion of atoms in a dense adsorbed layer with a hexagonal structure. Russ. J. Phys. Chem. B 10, 547–551 (2016). https://doi.org/10.1134/S1990793116030076
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1990793116030076