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Quantized Electronic States in Metal Microclusters: Electronic Shells, Structural Effects, and Correlations

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Book cover Pair Correlations in Many-Fermion Systems

Abstract

We review some properties of metal microclusters in which one observes an interplay between the quantum shell structure of delocalized valence electrons and the ionic framework.1 In particular, we point out that even in systems which are strongly disordered by conventional solid-state criteria (mixed, or alloyed, clusters, clusters with impurities) the existence of quantized shells keeps the spectral features ordered and understood. We discuss the transition from electronic to lattice-based periodicities in cluster growth, and the splittings of giant dipole photoabsorption peaks of clusters. In both cases a reduction in conventional structural order, e. g., by heating, does not lead to a disorganized situation. On the contrary, it allows electronic shell effects to emerge more clearly. Thus metallic clusters are nanoscale systems in which both a distinct shell-based ordering principle and its interplay with the geometric degrees of freedom can be observed. We also comment on recent work addressing the possibility of electron pairing in size-quantized particles.

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References

  1. The present article is based upon an earlier review: V.V. Kresin and W.D. Knight, Z. Phys. Chem. 203 (1998).

    Google Scholar 

  2. Clusters of Atoms and Molecules, ed. by H. Haberland (Springer, Berlin, 1994).

    Google Scholar 

  3. Advances in Metal and Semiconductor Clusters, ed. by M.A. Duncan (JAI Press, Greenwich, 1993-1997).

    Google Scholar 

  4. Proceedings of the International Symposia on Small Particles and Inorganic Clusters (ISSPIC): Surf. Sci. 156 (1985); Z. Phys. D 12 (1989); Z. Phys. D 19-20 (1991); Z. Phys. D 26 (1993); Surf. Rev. Lett. 3 (1996); Z. Phys.D. 40 (1997).

    Google Scholar 

  5. Large Clusters of Atoms and Molecules, ed. by T.P. Martin (Kluwer Academic, Dordrecht, 1996).

    Google Scholar 

  6. W.A. de Heer, W.D. Knight, M.Y. Chou and M.L. Cohen, in Solid State Physics, vol. 40, ed. by H. Ehrenreich and D. Turnbull (Academic, New York, 1987).

    Google Scholar 

  7. M. Moskowitz, Annu. Rev. Phys. Chem. 42, 465 (1991).

    Article  ADS  Google Scholar 

  8. V.O. Nesterenko, Sov.J. Part. Nucl. 23, 726 (1992).

    Google Scholar 

  9. W.A. de Heer, Rev. Mod. Phys. 65, 611 (1993).

    Article  ADS  Google Scholar 

  10. Comments At. Mol. Phys. 31, No. 3-6 (1995), Special issue: Nuclear Aspects of Simple Metal Clusters, ed. by C. Bréchignac and Ph. Cahuzac.

    Google Scholar 

  11. K.D. Bonin and V.V. Kresin, Electric-Dipole Polarizabilities of Atoms, Molecules and Clusters (World Scientific, Singapore, 1997).

    Google Scholar 

  12. U. Näher, S. Bjørnholm, S. Frauendorf, F. Garcias, and C. Guet, Phys. Rep. 285, 245 (1997).

    Article  ADS  Google Scholar 

  13. W.D. Knight, K. Clemenger, W.A. de Heer, W.A. Saunders, M.Y. Chou, and M.L. Cohen, Phys. Rev. Lett. 52, 2141 (1984).

    Article  ADS  Google Scholar 

  14. M.L. Cohen and W.D. Knight, Phys. Today (December 1990, p. 42).

    Google Scholar 

  15. M. Ruppel and K. Rademann, Z. Phys. Chem. 184, 265 (1994).

    Article  Google Scholar 

  16. N.W. Ashcroft and N.D. Mermin, Solid State Physics (Holt, Rinehart and Winston, New York, 1976).

    Google Scholar 

  17. S. Bjørnholm, J. Borggreen, H. Busch, and F. Chandezon, in Ref. 5, p. 111.

    Google Scholar 

  18. M. Springborg, S. Satpathy, N. Malinowski, U. Zimmermann, and T.P. Martin, Phys. Rev. Lett. 77, 1127 (1996).

    Article  ADS  Google Scholar 

  19. W.D. Knight, in The Chemical Physics of Atomic and Molecular Clusters, ed. by G. Scoles (North-Holland, Amsterdam, 1990), p. 413.

    Google Scholar 

  20. J.G. Eaton, L.H. Kidder, H.W. Sarkas, K.M. McHugh, and K.H. Bowen, in Nuclear Physics Concepts in the Study of Atomic Cluster Physics, ed. by R. Schmidt, H.O. Lutz, and R. Dreizler (Springer, Berlin, 1992), p. 291.

    Chapter  Google Scholar 

  21. A. Nakajima, K. Hoshino, T. Naganuma, Y. Sone, and K. Kaya, J. Chem. Phys. 95, 7061 (1991)

    Article  ADS  Google Scholar 

  22. K. Hoshino, T. Naganuma, K. Watanabe, A. Nakajima, and K. Kaya, Chem. Phys. Lett. 211, 571 (1993)

    Article  ADS  Google Scholar 

  23. K. Hoshino, K. Watanabe, Y. Konishi, T. Taguwa, A. Nakajima, and K. Kaya, Chem. Phys. Lett. 231, 499 (1994).

    Article  ADS  Google Scholar 

  24. T. Bergmann and T.P. Martin, J. Chem. Phys. 90, 2848 (1989).

    Article  ADS  Google Scholar 

  25. N. Malinowski, H. Schaber, T. Bergmann, and T.P. Martin, Solid State Commun. 69, 733 (1989).

    Article  ADS  Google Scholar 

  26. B. Vezin, Ph. Dugourd, D. Rayane, P. Labastie, J. Chevaleyre, and M. Broyer, Chem. Phys. Lett. 206, 521 (1993)

    Article  ADS  Google Scholar 

  27. B. Vezin, P. Rambaldi, Ph. Dugourd, and M. Broyer, J. Physique IV, C4–651 (1994).

    Google Scholar 

  28. R. Antoine, Ph. Dugourd, D. Rayane, E. Benichou, B. Vezin, and M. Broyer, Z. Phys. D 40, 436 (1997).

    Article  ADS  Google Scholar 

  29. W.D. Knight, W.A. de Heer, K. Clemenger, and W.A. Saunders, Solid State Commun. 53, 445 (1985).

    Article  ADS  Google Scholar 

  30. S. Pollack, C.R.C. Wang, and M.M. Kappes, Z. Phys. D 12, 241 (1989).

    Article  ADS  Google Scholar 

  31. D.J. Fatemi, F.K. Fatemi, and L.A. Bloomfield, Phys. Rev. B 55, 10094 (1997).

    Article  ADS  Google Scholar 

  32. S. Frank, N. Malinowski, F. Tast, M. Heinebrodt, I.M.L. Billas, and T.P. Martin, J. Chem. Phys. 106, 6217 (1997).

    Article  ADS  Google Scholar 

  33. M.M. Kappes, P. Radi, M. Schär, and E. Schumacher, Chem. Phys. Lett. 119, 11 (1985).

    Article  ADS  Google Scholar 

  34. S.B. Zhang, M.L. Cohen, and M.Y. Chou, Phys. Rev. B 36 3455 (1987).

    Article  ADS  Google Scholar 

  35. H.L. de Clercq, Ph.D. Thesis, Johns Hopkins University, 1997; H.L. de Clercq, C.A. Fancher, and K.H. Bowen, to be published.

    Google Scholar 

  36. T.P. Martin, Phys. Rep. 273, 199 (1996).

    Article  ADS  Google Scholar 

  37. T.P. Martin, T. Bergmann, H. Göhlich, and T. Lange, Chem. Phys. Lett. 172, 209 (1990).

    Article  ADS  Google Scholar 

  38. K. Clemenger, Phys. Rev. B 44, 12991 (1991).

    Article  ADS  Google Scholar 

  39. T.P. Martin, S. Bjørnholm, J. Borggreen, C. Bréchignac, Ph. Cahuzac, K. Hansen, and J. Pedersen, Chem. Phys. Lett. 186, 53 (1991).

    Article  ADS  Google Scholar 

  40. T.P. Martin, U. Näher, H. Schaber, and U. Zimmermann, J. Chem. Phys. 100, 2322 (1994).

    Article  ADS  Google Scholar 

  41. G. Oster, The Science of Moiré Patterns, 2d ed. (Edmund Scientific, Barrington, N.J., 1969).

    Google Scholar 

  42. M. Brack, Rev. Mod. Phys. 65, 677 (1993).

    Article  ADS  Google Scholar 

  43. R.W. Robinett, Am.J. Phys. 64, 440 (1996).

    Article  ADS  Google Scholar 

  44. W.A. de Heer, K. Selby, V. Kresin, J. Masui, M. Vollmer, A. Châtelain, and W.D. Knight, Phys. Rev. Lett. 59, 1805 (1987)

    Article  ADS  Google Scholar 

  45. K. Selby, V. Kresin, J. Masui, M. Vollmer, W.A. de Heer, A. Scheidemann, and W.D. Knight, Phys. Rev. B 43, 4565 (1991).

    Article  ADS  Google Scholar 

  46. V.V. Kresin, Phys. Rep. 220, 1 (1992).

    Article  ADS  Google Scholar 

  47. U. Kreibig and M. Vollmer, Optical Properties of Metal Clusters (Springer, Berlin, 1995).

    Book  Google Scholar 

  48. V. Bonačić-Koutecký, P. Fantucci, and J. Koutecký, Chem. Rev. 91, 1035 (1991).

    Article  Google Scholar 

  49. K. Clemenger, Phys. Rev B 32, 1359 (1985).

    Article  ADS  Google Scholar 

  50. Cbréchignac, Ph. Cahuzac, F. Carlier, M. de Frutos, and J. Leygnier, Chem. Phys. Lett. 189, 28 (1992).

    Article  ADS  Google Scholar 

  51. C. Yannouleas, R.A. Broglia, M. Brack, and P.F. Bortignon, Phys. Rev. Lett. 63, 255 (1989)

    Article  ADS  Google Scholar 

  52. C. Yannouleas and R.A. Broglia, Ann. Phys. 217, 105 (1992).

    Article  ADS  Google Scholar 

  53. G.F. Bertsch and R.A. Broglia, Oscillations in Finite Quantum Systems (Cambridge, New York, 1994).

    Google Scholar 

  54. C.R.C. Wang, S. Pollack, J. Hunter, G. Alameddin, T. Hoover, D. Cameron, S. Liu, and M.M. Kappes, Z. Phys. D 19, 13 (1991).

    Article  ADS  Google Scholar 

  55. M. Schmidt, R. Kusche, W. Kronmüller, B. von Issendorff, and H. Haberland, Phys. Rev. Lett. 79, 99 (1997).

    Article  ADS  Google Scholar 

  56. C. Ellert, M. Schmidt, C. Schmidt, T. Reiners, and H. Haberland, Phys. Rev. Lett. 75, 1731 (1995).

    Article  ADS  Google Scholar 

  57. Indications of similar resonance-curve fragmentation in a cold cluster beam also have been observed in small silver clusters: B.A. Collings, K. Athanassenas, D.M. Rayner, and P.A. Hackett, Chem. Phys. Lett. 227, 490 (1994).

    Article  ADS  Google Scholar 

  58. V. Bonačić-Koutecký, J. Pittner, C. Fuchs, P. Fantucci, M.F. Guest, and J. Koutecký, J. Chem. Phys. 104, 1427 (1996).

    Article  ADS  Google Scholar 

  59. A. Bartelt, J.D. Close, F. Federmann, F. Quaas, and J.P. Toennies, Phys. Rev. Lett. 77, 3525 (1996).

    Article  ADS  Google Scholar 

  60. C.T. Black, D.C. Ralph, and M. Tinkham, Phys. Rev. Lett. 76, 688 (1996).

    Article  ADS  Google Scholar 

  61. J. von Delft, A.D. Zaikin, D.S. Golubev, and W. Tichy, Phys. Rev. Lett. 77, 3189 (1996).

    Article  ADS  Google Scholar 

  62. R.A. Smith and V. Ambegaokar, Phys. Rev. Lett. 77, 4962 (1996).

    Article  ADS  Google Scholar 

  63. K.A. Matveev and A.I. Larkin, Phys. Rev. Lett. 78, 3749 (1997).

    Article  ADS  Google Scholar 

  64. M. Barranco, E.S. Hernández, R.J. Lombard, and Ll. Serra, Z. Phys. D 22, 659 (1992).

    Article  ADS  Google Scholar 

  65. F. Iachello, E. Lipparini, and A. Ventura, in Nuclear Physics Concepts in the Study of Atomic Cluster Physics, ed. by R. Schmidt, H.O. Lutz, and R. Dreizler (Springer, Berlin, 1992), p. 318.

    Google Scholar 

  66. N.N. Kuzmenko, V.O. Nesterenko, S. Frauendorf, and V.V. Pashkevich, Nuovo Cimento 18D, 645 (1996).

    Article  ADS  Google Scholar 

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Kresin, V.V., Knight, W.D. (1998). Quantized Electronic States in Metal Microclusters: Electronic Shells, Structural Effects, and Correlations. In: Kresin, V.Z. (eds) Pair Correlations in Many-Fermion Systems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1555-9_16

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  • DOI: https://doi.org/10.1007/978-1-4899-1555-9_16

  • Publisher Name: Springer, Boston, MA

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