Skip to main content

Physical Chemistry of Supported Clusters

  • Chapter
Metal Clusters at Surfaces

Part of the book series: Springer Series in Cluster Physics ((CLUSTER))

Abstract

Scientists have always tried to classify and systematise their observations in order to extract trends or even propose simple models for the understanding of their results with the aim of predicting properties of new materials. As early as in the 19th century this strategy led to the discovery of the periodicity of oxide formation for different elements by D.I. Mendelejev [1] and shortly afterwards he presented the first Periodic Table in his presentation “On the relation of the properties to the atomic weights of the elements” at the Russian Chemical Society in 1869 [2]. Today we know that the laws of quantum mechanics are responsible for the beautiful order of the elements of our universe and this Periodic Table is used to predict chemical and physical properties of the elements. In a chemical compound the atoms try to acquire a closed shell electronic structure and this is the reason for the high reactivity of the alkalines or halides or for the inertness of rare gases. Today it is possible to construct a Periodic Table of a single element, e.g., sodium, because atoms of an element can form clusters or particles with pronounced periodicities in their chemical and physical properties as a function of their size, shape and form. Sodium clusters were first produced by the groups of Schumacher [3] and Knight [4] in the early eighties, see Chap. 1. They discovered striking discontinuities in the mass spectra at magic numbers (of Na atoms per cluster) 8, 20, 34, and 40 and achieved a fundamental understanding of these abundance spectra within the jellium model [47], well known to nuclear physicists.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 139.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 179.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 179.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. D. Mendeleeff, The Principle of Chemistry, 3rd Ed. (Longmans, Green and Co., London, 1905)

    Google Scholar 

  2. T.E. Thorpe, Scientific worthies XXVI. Dimitri Wanowitch Mendeleeff. Nature XL, 193–197 (1889)

    ADS  Google Scholar 

  3. M. Kappes, R.W. Kunz, E. Schumacher Chem. Phys. Lett. 91, 413–418 (1982)

    ADS  Google Scholar 

  4. W.D. Knight, K. Clemenger, W.A. de Heer, W.A. Saunders, M.Y. Chou, M.L. Cohen, Phys. Rev. Lett. 52, 2141–2143 (1984)

    ADS  Google Scholar 

  5. W. Ekardt, Phys. Rev. B 29, 1558–1564 (1984)

    ADS  Google Scholar 

  6. K. Clemenger, Phys. Rev. B 32, 1359–3162 (1985)

    ADS  Google Scholar 

  7. W.A. de Heer, Rev. Mod. Phys. 65, 611–676 (1993)

    ADS  Google Scholar 

  8. T.P. Martin, T. Bergmann, H. Gölich, T. Lange, Chem. Phys. Lett. 172, 209–213 (1990)

    ADS  Google Scholar 

  9. P. Stampfli, K.H. Bennemann, Phys. Rev. Lett. 69, 3471–3474 (1992); Z. Phys. D 25, 87-94 (1992)

    ADS  Google Scholar 

  10. A.L. Mackay, Acta Crystall. 15, 916–921 (1962)

    Google Scholar 

  11. O. Echt, K. Sattler, E. Recknagel, Phys. Rev. Lett. 47, 1121–1124 (1981)

    ADS  Google Scholar 

  12. See articles in “Clusters of Atoms and Molecules”, Vol. I and II, ed. H. Haberland (Springer, Berlin, 1994)

    Google Scholar 

  13. K.-H. Allers, H. Pfnuer, P. Peulner, D. Menzel, J. Chem. Phys. 100, 3985–3998 (1994)

    ADS  Google Scholar 

  14. T. Matsushima, Surf. Sci. 127, 403–423 (1983)

    ADS  Google Scholar 

  15. Y. Ohno, T. Matsushima, Surf. Sci. 241, 47–53 (1991)

    ADS  Google Scholar 

  16. J. Xu, J.T. Yates, Chem. Phys. 99, 725–732 (1993)

    ADS  Google Scholar 

  17. A. Szabo, M.A. Henderson, J.T. Yates, J. Chem. Phys. 96, 6191–6201 (1992)

    ADS  Google Scholar 

  18. G. Ertl, P.R. Norton, J. Ruestig, Phys. Rev. Lett. 49, 177–180 (1982)

    ADS  Google Scholar 

  19. H.H. Rotermund, Surf. Sci. Rep. 29, 265–364 (1997)

    ADS  Google Scholar 

  20. H.J. Freund, Angew. Chem. Int. Ed. Eng. 36, 452–475 (1997)

    Google Scholar 

  21. D.W. Goodman, Surf. Rev. Lett. 2, 9–24 (1995)

    Google Scholar 

  22. D.W. Goodman, Chem. Rev. 95, 523–536 (1995)

    Google Scholar 

  23. C. Duriez, C.R. Henry, C. Chapon, Surf. Sci. 253, 190–204 (1991)

    ADS  Google Scholar 

  24. C.R. Henry, C. Chapon, C. Duriez, Surf. Sci. 253, 177–289 (1991)

    ADS  Google Scholar 

  25. M.R. Zakin, R.O. Brickman, D.M. Cox, et al. J. Chem. Phys. 88, 3555–3560 (1988)

    ADS  Google Scholar 

  26. A. Berces, P.A. Hackett, L. Lian, et al. J. Chem. Phys. 108, 5476–5490 (1998)

    ADS  Google Scholar 

  27. M.D. Morse, M.E. Geusic, J.R. Heath, et al. J. Chem. Phys. 83, 2293–2304 (1985)

    ADS  Google Scholar 

  28. H. Kietzmann, J. Morenzin, P.S. Bechthold, G. Ganteför, W. Eberhardt, J. Chem. Phys. 109, 2275–2278 (1998)

    ADS  Google Scholar 

  29. H. Poppa, Catal. Rev. Sci. Eng. 35, 359–398 (1993)

    Google Scholar 

  30. M. Thomas, J.T. Dickinson, H. Poppa, G.M. Pound, J. Vac. Sci. Technol. 15, 568–571 (1978)

    ADS  Google Scholar 

  31. C.R. Henry, Surf. Sci. Rep. 31, 231–326 (1998)

    ADS  Google Scholar 

  32. S.K. Purnell, X. Xu, D.W. Goodman, B.C. Gates, J. Phys. Chem. 98, 4076–4082 (1994)

    Google Scholar 

  33. M. Valden, J. Aaltonene, E. Kuuisto, M. Pessaand, C.J. Barnes, Surf. Sci. 307-309, 193–198 (1994)

    ADS  Google Scholar 

  34. P.L.J. Gunter, J.W.H. Niemantsverdriet, F.H. Ribeiro, G.A. Somorjai, Catal. Rev. Sci. Eng. 39, 77–168 (1997)

    Google Scholar 

  35. R.J. Lad, Surf. Rev. Lett. 2, 109–126 (1995)

    ADS  Google Scholar 

  36. C. T. Campbell, Surf. Sci. Rep. 27, 1–111 (1997)

    ADS  Google Scholar 

  37. G.B. Raupp, T.J. Udovic, J.A. Dumesic, In: Davenas, J., Rabette, P. S. (Eds.) Contribution of Cluster Physics to Material Science and Technology, NATO ASI Series E, pp. 255–261 (1997)

    Google Scholar 

  38. V.E. Henrich, P.A. Cox, The Surface Science of Metal Oxides (Cambridge Univ. Press, Cambridge, UK, 1992)

    Google Scholar 

  39. C. Noguera, Physics and Chemistry of Oxide Surfaces (Cambridge Univ. Press, Cambridge, UK, 1996)

    Google Scholar 

  40. M. Bäumer, J. Libuda, H.J. Freund, In: Lambert, R. M, Pacchioni, G. (Eds.) Chemisorption and Reactivity on Supported Clusters and Thin Films. (Kluwer Academic Publishers, The Netherlands, 61–104, 1997)

    Google Scholar 

  41. S.C. Street and D.W. Goodman, In: King, D. A., Woodruff, D. P. (Eds.) Growth and Properties of Ultrathin Epitaxial Layers. (Elsevier Science B. V., North-Holland, 375–406, 1997)

    Google Scholar 

  42. M. Frank, S. Andersson, J. Libuda, S. Stempel, A. Sandeil, B. Brena, A. Giertz, P.A. Brühwiler, M. Bäumer, N. Mårtensson, H.-J. Freund, Chem. Phys. Lett. 279, 92–99 (1997)

    ADS  Google Scholar 

  43. S. Andersson, M. Frank, A. Sandell, A. Giertz, B. Brena, P.A. Brühwiler, N. Mârtensson, J. Libuda, M. Bäumer, H.-J. Freund, J. Chem. Phys. 108, 2967–2974 (1998)

    ADS  Google Scholar 

  44. M. Bäumer, J. Libuda, A. Sandell, H.-J. Freund, G. Graw, Th. Bertrams, H. Neddermeyer, Ber. Bunsenges. Phys. Chem. 99, 1381–1386 (1995)

    Google Scholar 

  45. C. Xu, D.W. Goodman, Chem. Phys. Lett. 263, 13–18 (1996)

    ADS  Google Scholar 

  46. K. Wong, S. Johansson, B. Kasemo, Faraday Discuss. 105, 237–246 (1996)

    ADS  Google Scholar 

  47. S. Johansson, K. Wong, V.P. Zhdanov, B. Kasemo, J. Vac. Sci. Technol. A 17, 297–302 (1999)

    ADS  Google Scholar 

  48. J. Bosbach, D. Martin, F. Stietz, T. Wenzel, F. Träger, Appl. Phys. Lett., 3 May (1999)

    Google Scholar 

  49. V. Matoli’n, M.H. Elyakhloufi, K. Masek, E. Gillet, Cat. Lett. 21, 175–182 (1993)

    Google Scholar 

  50. V. Matolín, K. Mašek, M.H. Elyakhloufi, E. Gillet, J. Catal. 143, 492–498 (1993)

    Google Scholar 

  51. V. Nehasil, I. Stará, V. Matolín, Surf. Sci. 331/333, 105–109 (1995)

    Google Scholar 

  52. G. Ertl, H.-J. Freund, Physics Today, January, p. 32–38 (1999)

    Google Scholar 

  53. L. Piccolo, C. Becker, C. Henry, Eur. J. Phys. in press (1999)

    Google Scholar 

  54. C. Becker, C. Henry, Surf. Sci. 352-354, 457–462 (1996)

    ADS  Google Scholar 

  55. M. Valden, X. Lai, D.W. Goodman, Science 281, 1647–1650 (1998)

    ADS  Google Scholar 

  56. M. Haruta, Catal. Today 36, 153–166 (1997)

    Google Scholar 

  57. H. Huber, D. Mclntosh, G.A. Ozin, Inorg. Chem. 16, 975–979 (1977)

    Google Scholar 

  58. M. Haruta et al. J. Catal. 144, 175–192 (1993)

    Google Scholar 

  59. G.R. Bamwenda, S. Tsubota, T. Nakamura, M. Haruta, Catal. Lett. 44, 83–87 (1997)

    Google Scholar 

  60. F. Vanolli, U. Heiz, W.-D. Schneider, Surf. Sci. 414, 261–270 (1998)

    ADS  Google Scholar 

  61. S.E. Deutsch, G. Mestl, H. Knoetzinger, B.C. Gates, J. Phys. Chem. B 97, 1374–1384 (1997)

    Google Scholar 

  62. A. Zhao, B.C. Gates, J. Am. Chem. Soc. 118, 2458–2469 (1996)

    Google Scholar 

  63. O. Alexeev, B.C. Gates, J. Catal. 176, 310–320 (1998)

    Google Scholar 

  64. Z. Xu, F.S. Xiao, S.K. Purnell, O. Alexeev, S. Kawi, S.E. Deutsch, B. C. Gates, Nature 372, 346–348 (1994)

    ADS  Google Scholar 

  65. S.A. Deutsch, F.S. Xiao, B.C. Gates, J. Catal. 170, 161–167 (1997)

    Google Scholar 

  66. S. Chen, R.S. Ingram, M.J. Hostetler, J.J. Pietron, R.W. Murray, G. Schaaff, J.T. Khoury, M.M. Alvarez, R.L. Whetten, Science 280, 2098–2101 and refs. therein (1998)

    ADS  Google Scholar 

  67. T. Leisner, C. Rosche, S. Wolf, F. Granzer, L. Wöste, Surf. Rev. Lett. 3, 1105–1108 (1996)

    Google Scholar 

  68. P. Fayet, F. Granzer, G. Hegenbart, E. Moisar, B. Pischel, L. Wöste, Phys. Rev. Lett. 55, 3002–3004 (1985)

    ADS  Google Scholar 

  69. P. Fayet, J.P. Wolf, L. Wöste, Phys. Rev. B 33, 6792–6797 (1986)

    ADS  Google Scholar 

  70. U. Heiz, F. Vanolli, L. Trento, W.-D. Schneider, Rev. Sci. Instrum. 68, 1986–1994 (1997)

    ADS  Google Scholar 

  71. I. Yudanov, G. Pacchioni, K. Neyman, N. Rösch, J. Phys. Chem. 101, 2786–2792 (1997)

    Google Scholar 

  72. H.-P. Cheng, U. Landman, J. Phys. Chem. 98, 3527–3537 (1994)

    Google Scholar 

  73. K. Bromann, C. Felix, H. Brune, W. Harbich, R. Monot, J. Buttet, K. Kern, Science 274, 956–958 (1996)

    ADS  Google Scholar 

  74. S.H. Yang, D.H. Drabold, J.B. Adams, P. Ordejon, K. Glassford, J. Phys. Condens. Matter 9, L39–L45 (1997)

    ADS  Google Scholar 

  75. A. Sachdev, R.I. Masrl, J.B. Adams, Z. Phys. D26, 310–312 (1993)

    ADS  Google Scholar 

  76. M.-H. Schaffner, F. Patthey, W.-D. Schneider, L.G.M. Pettersson, Surf. Sci. 450, 402–404 (1998)

    Google Scholar 

  77. M.C. Wu, J.S. Corneille, C.A. Estrada, J.-W. He, D.W. Goodman, Chem. Phys. Lett. 182, 472–478 (1991)

    ADS  Google Scholar 

  78. A. Rar, T. Matsushima, Surf. Sci. 318, 89–96 (1994)

    ADS  Google Scholar 

  79. F. Zaera, E. Kollin, J.L. Gland, Chem. Phys. Lett. 121, 464–468 (1985)

    ADS  Google Scholar 

  80. U. Heiz, F. Vanolli, A. Sanchez, W.-D. Schneider, J. Am. Chem. Soc. 120, 9668–9671 (1998)

    Google Scholar 

  81. U. Heiz, Appl. Phys. A67, 621–626 (1998)

    ADS  Google Scholar 

  82. F. Vanolli, U. Heiz, W.-D. Schneider, Chem. Phys. Lett. 277, 527–531 (1997)

    ADS  Google Scholar 

  83. S. Vajda, S. Wolf, T. Leisner, U. Busolt, L. Wöste, J. Chem. Phys. 107, 3492–3497 (1997)

    ADS  Google Scholar 

  84. J. F. Hamilton, P.C. Logel, Photogr. Sci. Eng. 18, 507–512 (1974)

    Google Scholar 

  85. W.J. Reinders, J. Phys. Chem. 38, 783–795 (1934)

    Google Scholar 

  86. I. Konstantinov, J. Malinowski, J. Photogr. Sci. 23, 145–151 (1973)

    Google Scholar 

  87. E. Moisar, F. Granzer, D. Dautrich, E. Palm, J. Photogr. Sci. 28, 71–81 (1980)

    Google Scholar 

  88. B.C. Gates, Chem. Rev. 95, 511–522 (1995)

    Google Scholar 

  89. P.M. Holmblad, D.R. Rainer, D.W. Goodman, J. Phys. Chem. B 101, 8883–8886 (1997)

    Google Scholar 

  90. G. Pacchioni, R.M. Lambert, Surf. Sci. 304, 208–222 (1994)

    ADS  Google Scholar 

  91. R.M. Ormerod, R.M. Lambert, J. Phys. Chem. 96, 8111–8116 (1992)

    Google Scholar 

  92. S. Abbet, A. Sanchez, U. Heiz, W.-D. Schneider, A.M. Ferrari, G. Pacchioni, N. Rösch, J. Am. Chem. Soc, in press (1999)

    Google Scholar 

  93. U. Heiz, A. Sanchez, S. Abbet, W.-D. Schneider, J. Am. Chem. Soc. 121, 3214–3217 (1999)

    Google Scholar 

  94. T. Zambelli, J.V. Barth, J. Winterlin, G. Ertl, Nature 390, 495–497 (1997)

    ADS  Google Scholar 

  95. A.W.E. Chen, R. Hoffmann, W. Ho, Langmuir 8, 1111–1119 (1992)

    Google Scholar 

  96. B. Hammer, O.H. Nielsen, J.K. N0rskov, Catal. Lett. 46, 31–35 (1997)

    Google Scholar 

  97. R. Hoffman, Solids and Surfaces: A Chemist’s View of Bonding in Extended Structures (VCH Verlagsgesellschaft, GmbH, Weinheim 1988)

    Google Scholar 

  98. N. Watari, S. Ohnishi, J. Chem. Phys. 106, 7531–7540 (1997)

    ADS  Google Scholar 

  99. B. Hammer, J.K. Nørskov, Nature 376, 238–240 (1995)

    ADS  Google Scholar 

  100. R.M. Watwe, B.E. Spiewak, R.D. Cortright, J.A. Dumesic, Catal. Lett. 51, 139–147 (1998)

    Google Scholar 

  101. E. Schumacher, F. Blatter, M. Prey, U. Heiz, U. Röthlisberger, M. Schär, A. Vayloyan, C. Yeretzian, CHIMIA, 42, 357–376 (1988)

    Google Scholar 

  102. U. Heiz, A. Vayloyan, E. Schumacher, J. Phys. Chem. 100, 15033–15040 (1996)

    Google Scholar 

  103. D.M. Cox, R. Brickman, K. Creegan, A. Kaldor, Z. Phys. D19, 353–355 (1991)

    ADS  Google Scholar 

  104. M. Haruta, T. Kobayashi, H. Sano, N. Yamada, Chem. Lett. 100, 405–408 (1987)

    Google Scholar 

  105. M. Haruta, T. Kobayashi, S. Iijima, J. Catal. 115, 301–3091989

    Google Scholar 

  106. U. Heiz, A. Sanchez, S. Abbet, W.-D. Schneider, Eur. J. Phys. D 9, in press (1999)

    Google Scholar 

  107. A. Sanchez, S. Abbet, U. Heiz, W.-D. Schneider, H. Häkkinen, U. Landman

    Google Scholar 

  108. G.A. Somorjai, J. Mol. Catal. A 107, 39–53 (1996)

    Google Scholar 

  109. A. Berko, G. Menesi, J. Solymosi, J. Phys. Chem. 100, 17732–17734 (1996)

    Google Scholar 

  110. V.P. Zhdannov, B. Kasemo, Phys. Rev. Lett. 81, 2482–2485 (1998)

    ADS  Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Heiz, U., Schneider, WD. (2000). Physical Chemistry of Supported Clusters. In: Metal Clusters at Surfaces. Springer Series in Cluster Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57169-5_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-57169-5_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-63064-4

  • Online ISBN: 978-3-642-57169-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics