Abstract
A consistent procedure for determining the ionization potential of a large metal cluster of radius R N, v , consisting of N atoms and N v vacancies, is proposed. The perturbation theory in small parameters R v /R N, v and L v /R v (Rv and L v are average distance between vacancies and the length of electron scattering on vacancies, respectively) is constructed in the effective-medium approximation for the electron ground state energy. The effective vacancy potential profile, the electron scattering phase and length are calculated by the Kohn–Sham method for a macroscopic metal in the stable jelly model. The obtained analytical dependences can be useful to analyze the results of photoionization experiments and to determine the size dependence of the vacancy concentration, including that near the melting temperature.
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References
R. S. Berry and B. M. Smirnov, J. Exp. Theor. Phys. 98 (2), 366 (2004).
R. S. Berry and B. M. Smirnov, Phys. Rep. 527, 205 (2013).
A. V. Babich, V. V. Pogosov, and V. I. Reva, Phys. Solid State 57 (11), 2135 (2015).
C. Hock, C. Bartels, S. Straßburg, M. Schmidt, H. Haberland, B. von Issendorff, and A. Aguado, Phys. Rev. Lett. 102, 043401 (2009).
C. C. Yang and S. Li, Phys. Rev. B: Condens. Matter 75, 165413 (2007).
G. Guisbiers, Nanoscale Res. Lett. 5, 1132 (2010).
G. A. Breaux, C. M. Neal, B. Cao, and M. F. Jarrold, Phys. Rev. Lett. 94, 173401 (2005).
A. K. Starace, B. Cao, O. H. Judd, I. Bhattacharyya, and M. F. Jarrold, J. Chem. Phys. 132, 034302 (2010).
C. Bréchignac, Ph. Cahuzac, J. Leygnier, and J. Weiner, J. Chem. Phys. 90, 1492 (1989).
U. R. Martin, F. Jarrold, J. E. Bower, and J. S. Kraus, J. Chem. Phys. 91, 2912 (1989).
A. Halder and V. V. Kresin, J. Chem. Phys. 143, 164313 (2015).
J. P. Perdew, M. Brajczewska, and C. Fiolhais, J. Chem. Phys. 108, 8182 (1998).
V. V. Pogosov, Introduction to Physics of Charged and Size Effects: Surface, Clusters, Low-Dimensional Systems (Fizmatlit, Moscow, 2006) [in Russian].
A. V. Babich, P. V. Vakula, and V. V. Pogosov, Phys. Solid State 56 (5), 873 (2014).
A. V. Babich, P. V. Vakula, and V. V. Pogosov, Phys. Solid State 56 (9), 1726 (2014).
V. V. Pogosov, W. V. Pogosov, and D. P. Kotlyarov, J. Exp. Theor. Phys. 90 (5), 908 (2000).
V. V. Pogosov, Phys. Solid State 35 (4), 518 (1993).
B. E. Springett, M. H. Cohen, and J. Jortner, Phys. Rev. 159, 183 (1967).
I. T. Iakubov and V. V. Pogosov, J. Chem. Phys. 106, 2306 (1997).
J. Bardeen, J. Chem. Phys. 6, 367 (1938).
M. H. Cohen and F. S. Ham, J. Phys. Chem. Solids 16, 177 (1960).
M. J. Stott and P. Kubica, Phys. Rev. B: Solid State 11, 1 (1975).
T. P. Martin, Phys. Rep. 273, 199 (1996).
W. A. de Heer, Rev. Mod. Phys. 65, 611 (1993).
M. Brack, Rev. Mod. Phys. 65, 677 (1993).
M. A. Hoffmann, G. Wrigge, and B. von Issendorff, Phys. Rev. B: Condens. Matter 66, 014404 (2002).
P. Ziesche, J. P. Perdew, and C. Fiolhais, Phys. Rev. B: Condens. Matter 49, 7919 (1994).
J. A. Alonso and N. M. March, Surf. Sci. 160, 509 (1985).
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Original Russian Text © V.V. Pogosov, V.I. Reva, 2017, published in Fizika Tverdogo Tela, 2017, Vol. 59, No. 6, pp. 1043–1050.
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Pogosov, V.V., Reva, V.I. Ionization potential of a metal cluster containing vacancies. Phys. Solid State 59, 1063–1070 (2017). https://doi.org/10.1134/S1063783417060208
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DOI: https://doi.org/10.1134/S1063783417060208