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Selfconsistent calculation of electronic supershells in metal clusters

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Nuclear Physics Concepts in the Study of Atomic Cluster Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 404))

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Abstract

We report on selfconsistent microscopic calculations of the electronic shell and supershell structure of sodium clusters with up to N ∼ 3000 atoms. The spherical jellium model in local density approximation is used and the Kohn-Sham equations are solved numerically. The finite temperature of the valence electrons is included by treating them as a canonical subsystem embedded in the heat bath of the ions. In particular, we evaluate the total free energy F(N) and investigate its fluctuating part, the shell-correction energy F(N), as a function of temperature T and particle number N. We also discuss the second difference Δ2 F(N) = F(N+1)+ F(N - 1) - 2F(N) and its relation to the recently measured cluster mass abundance spectra.

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References

  1. J. Pedersen, S. Bjørnholm, J. Borggreen, K. Hansen, T. P. Martin and H. D. Rasmussen, Nature 353, 733 (1991); T. P. Martin, S. Bjørnholm, J. Borggreen, C. Bréchignac, Ph. Cahuzac, K. Hansen and J. Pedersen, Chem. Phys. Lett. 186, 53 (1991); see also the talks of S. Bjørnholm and T. P. Martin, these Proceedings.

    Google Scholar 

  2. W. Ekardt, Phys. Rev. B 29, 1558 (1984).

    Google Scholar 

  3. O. Genzken and M. Brack, Phys. Rev. Lett. 76, 3286 (1991).

    Google Scholar 

  4. H. Nishioka, K. Hansen, and B. R. Mottelson, Phys. Rev. B 42, 9377 (1990).

    Google Scholar 

  5. R. Balian, C. Bloch, Ann. Phys. (N.Y.) 69, 76 (1971).

    Google Scholar 

  6. V. M. Strutinsky, A. G. Magner, S. R. Ofengenden, and T. Døssing, Z. Phys. A 283, 269 (1977).

    Google Scholar 

  7. S. Bjørnholm, J. Borggreen, O. Echt, K. Hansen, J. Pedersen, H. D. Rasmussen, Z. Phys. D 19, 47 (1991).

    Google Scholar 

  8. M. Brack, O. Genzken, and K. Hansen, Z. Phys. D 19, 51 (1991).

    Google Scholar 

  9. M. Brack, O. Genzken, and K. Hansen, Z. Phys. D 21, 65 (1991).

    Google Scholar 

  10. For a review on finite-temperature density functional theory, see U. Gupta and A. K. Rajagopal, Physics Reports 87, 259 (1982); for its justification for canonical systems, see R. Evans, Adv. in Phys. 28, 143 (1979).

    Google Scholar 

  11. O. Gunnarsson and B. I. Lundqvist, Phys. Rev. B 13, 4274 (1976).

    Google Scholar 

  12. . Bohr, and B. M. Mottelson, Nuclear Structure II (Benjamin, 1975).

    Google Scholar 

  13. See, e.g., M. Brack and P. Quentin, Nucl. Phys. A 361, 35 (1981), and earlier references quoted there. *** DIRECT SUPPORT *** A3418329 00002

    Google Scholar 

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Rüdiger Schmidt Hans O. Lutz Reiner Dreizler

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© 1992 Springer-Verlag

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Genzken, O., Brack, M. (1992). Selfconsistent calculation of electronic supershells in metal clusters. In: Schmidt, R., Lutz, H.O., Dreizler, R. (eds) Nuclear Physics Concepts in the Study of Atomic Cluster Physics. Lecture Notes in Physics, vol 404. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55625-7_3

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  • DOI: https://doi.org/10.1007/3-540-55625-7_3

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55625-1

  • Online ISBN: 978-3-540-47264-3

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