Subshells, Shells and Supershells in Metal Clusters

  • T. P. Martin
  • T. Bergmann
  • H. Göhlich
  • T. Lange
Part of the NATO ASI Series book series (NSSB, volume 283)


In 1949 Maria Goeppert-Mayer1 and Haxel, Jensen and Suess2 suggested a shell model to explain magic numbers of stability for atomic nuclei. Recently, a similar model has been used to sucessfully describe another fermion system — the electrons in metallic clusters3–18.


Shell Structure Metal Cluster Mass Peak Magic Number Icosahedral Symmetry 
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  1. 1.
    M.G. Mayer; Phys. Rev. 75:1969L (1949).CrossRefGoogle Scholar
  2. 2.
    O. Haxel, J.H.D. Jensen, and H.E. Suess, Phys. Rev. 75:1766L (1949).CrossRefGoogle Scholar
  3. 3.
    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).CrossRefGoogle Scholar
  4. 4.
    M.M. Kappes, R.W. Kunz, and E. Schumacher, Chem. Phys. Lett. 91:413 (1982).CrossRefGoogle Scholar
  5. 5.
    I. Katakuse, I. Ichihara, Y. Fujita, T. Matsuo, T. Sakurai, and T. Matsuda, Int. J. Mass Sepectrom. Ion Processes 67:229(1985).CrossRefGoogle Scholar
  6. 6.
    C. Brechignac, Ph. Cahuzac, J.-Ph. Roux, Chem. Phys. Lett. 127:445 (1986).CrossRefGoogle Scholar
  7. 7.
    W. Begemann, S. Dreihofer, K.H. Meiwes-Broer, and H.O. Lutz, Z. Phys.D 3: 183(1986)CrossRefGoogle Scholar
  8. 8.
    W.A. Saunders, K. Clemenger, W.A. de Heer, W.D. Knight, Phys. Rev.B 32: 1366 (1986).CrossRefGoogle Scholar
  9. 9.
    T. Bergmann, H. Limberger, T.P. Martin, Phys. Rev. Lett. 60:1767(1988).CrossRefGoogle Scholar
  10. 10.
    J.L. Martins, R. Car, J. Buttet, Surf. Sci. 106:265 (1981).CrossRefGoogle Scholar
  11. 11.
    W. Ekardt. Ber. Bunsenges. Phys. Chem. 88:289(1984).Google Scholar
  12. 12.
    K. Clemenger, Phys. Rev. B 32:1359 (1985).CrossRefGoogle Scholar
  13. 13.
    Y. Ishii, S. Ohnishi, and S. Sugano, Phys. Rev. B 33:5271 (1986).CrossRefGoogle Scholar
  14. 14.
    T. Bergmann, T.P. Martin, J. Chem. Phys. 90:2848 (1989)CrossRefGoogle Scholar
  15. 15.
    H. Göhlich, T. Lange, T. Bergmann, and T.P. Martin, Phys. Rev. Lett. 65:748 (1990); to be published in Z. Phys. D.CrossRefGoogle Scholar
  16. 16.
    T.P. Martin, T. Bergmann, H. Göhlich, and T. Lange, Chem. Phys. Lett. 172:209 (1990);.to be published in Z. Phys. D.CrossRefGoogle Scholar
  17. 17.
    S. Bjørnholm, J. Borggreen, O. Echt, K. Hansen, J. Pederson, and H.D. Rasmussen, Phys. Rev. Lett. 65:1627(1990).CrossRefGoogle Scholar
  18. 18.
    J.L. Persson, R.L. Whetten,.Hai-Ping Cheng, and R.S. Berry, to be published; E.C. Honea, M.L. Horner, J.L. Persson and R.L. Whetten, Chem. Phys. Lett. 171:147 (1990).CrossRefGoogle Scholar
  19. 19.
    R. Balian, and C. Bloch, Ann. Phys. 69:76 (1971).Google Scholar
  20. 20.
    A. Bohr, B.R. Mottelson, “Nuclear Structure” Benjamin, London (1975).Google Scholar
  21. 21.
    H. Nishioka, K. Hansen, B.R. Mottelson, Phys. Rev. B 42:9377 (1990).CrossRefGoogle Scholar
  22. 22.
    T. Bergmann, H. Göhlich, T.P. Martin, H. Schaber, and G. Malegiannakis, Rev. Sci.Instrum. 61:2585(1990).CrossRefGoogle Scholar
  23. 23.
    B.A. Mamyrin, V.I. Katataer, D.V. Shmikk, and V.A. Zagulin, Sov. Phys.JETP 37:45 (1973).Google Scholar
  24. 24.
    T. Bergmann, T.P. Martin, H. Schaber, Rev. Sci Instrum. 61:2592 (1990).CrossRefGoogle Scholar
  25. 25.
    T. Lange, H. Göhlich, T. Bergmann, and T.P. Martin, to be published in Z. Phys. D.Google Scholar
  26. 26.
    M.R. Hoare, Adv. Chem. Phys. 40:49 (1979).CrossRefGoogle Scholar
  27. 27.
    O. Echt, K. Sattler, and E. Recknagel, Phys. Rev. Lett. 47:1121 (1981).CrossRefGoogle Scholar
  28. 28.
    J. Farges, M.F. de Feraudy, B. Raoult, and G. Torchet, J. Chem. Phys. 84:3491 (1986).CrossRefGoogle Scholar
  29. 29.
    J.A. Northby, J. Chem. Phys. 8: 6166 (1987).CrossRefGoogle Scholar
  30. 30.
    P.G. Lethbridge, A.J. Stace, J. Chem. Phys. 91:7685 (1989).CrossRefGoogle Scholar
  31. 31.
    W. Miehle, O. Kandier, T. Leisner, and O. Echt, J. Chem. Phys. 91:5940 (1989).CrossRefGoogle Scholar
  32. 32.
    The subject of icosahedral shells of atoms in inert gas clusters has a long and interesting history. For a recent starting point into this extensive literature see: “Proceedings of Faraday Symposium on Large Gas Phase Clusters”, J. Chem. Soc.Faraday Trans.86 (1990).Google Scholar
  33. 33.
    K.E. Schriver, M.Y. Hahn, J.L Persson, M.E. LaVilla, and R.L. Whetten. J. Phys. Chem. 93:2869 (1989).CrossRefGoogle Scholar
  34. 34.
    D. Shechtman, I. Blech, D. Gratias, and J.W. Chan, Phvs. Rev. Lett. 53:1951 (1984).CrossRefGoogle Scholar
  35. 35.
    C. Janot, and J.-M. Dubois, J. Non-Crystalline Solids 106:193 (1988).CrossRefGoogle Scholar
  36. 36.
    B.D. Hall, M. Flüeli, R. Monot, and J.-P. Borel, Z. Phys. D 12:97 (1989).CrossRefGoogle Scholar
  37. 37.
    See: Proceedings 4th Intl. Meeting on Small Particles and Inorganic Clusters, (1989) Chapon, C; Gillet, M.F. and Henry, C.R. (eds.) Berlin, Heidelberg, New York: Springer. Google Scholar
  38. 38.
    E. Blaisten-Barojas and S.N. Khanna. Phys. Rev. Lett. 61:1477 (1988).CrossRefGoogle Scholar
  39. 39.
    B.K. Rao, S.N. Khanna, J. Meng, and P. Jena, to be published in Z. Phys. D.Google Scholar
  40. 40.
    G. Pacchioni, W. Pewestorf, J. Koutecky, Chem. Phys. 83:201 (1984).CrossRefGoogle Scholar
  41. 41.
    C.W. Bauschlicher, P.S. Bagus, and B.N. Cox, J. Chem. Phys. 77:4032 (1982).CrossRefGoogle Scholar
  42. 42.
    J. Koutecky, and P. Fantucci. Chem. Rev. 86:539 (1986).CrossRefGoogle Scholar
  43. 43.
    T.D. Klots, B.J. Winter, E.K. Parks, and S.J. Riley, J. Chem. Phys. 92:2110 (1990).CrossRefGoogle Scholar
  44. 44.
    E.K. Parks, B.J. Winter, T.D. Klots, and S.J. Riley, J. Chem. Phys. 94:1882 (1991).CrossRefGoogle Scholar
  45. 45.
    D. Rayane, P. Melinon, B. Cabaud, A. Hoareau, B. Tribollet, and M. Broyer, Phys. Rev. A 39:6056 (1989).CrossRefGoogle Scholar
  46. 46.
    R.L. Whetten, private communications.Google Scholar
  47. 47.
    T.P. Martin, and T. Bergmann, J. Chem. Phys. 90:6664.(1990).CrossRefGoogle Scholar
  48. 48.
    A.L. Mackay, Acta Cryst. 15:916 (1962).CrossRefGoogle Scholar
  49. 49.
    T.P. Martin, T. Bergmann, H. Göhlich, and T. Lange Chem. Phys. Lett. 176:343 (1991).CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1992

Authors and Affiliations

  • T. P. Martin
    • 1
  • T. Bergmann
    • 1
  • H. Göhlich
    • 1
  • T. Lange
    • 1
  1. 1.Max-Planck-Institut für FestkörperforschungStuttgart 80Germany

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