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Bulk, surface and thermal effects in inverse photoemission spectra from Cu(100), Cu(110) and Cu(111)

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Abstract

We have performed a study of empty electronic bulk and surface states on the three low indexed copper surfaces employing momentum resolved inverse photoemission. The bulk electronic features may be well understood in the frame work of the bulk direct transition model using state of the art band structure calculations. Surface states of both, the crystal derived and the image potential induced type have been identified and were found to agree with previous work. Several radiative transitions into unoccupied bands were also investigated at elevated temperatures. Characteristic temperatures of an exponential attenuation law are distinctly different between surface and bulk transitions. However, no systematic behaviour of bulk transitions at different points of the Brillouin zone could be established.

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References

  1. 1.

    Plummer, E.W., Eberhardt, W.: Adv. Chem. Phys.46, 533 (1982)

  2. 2.

    Himpsel, F.J.: Adv. Phys.32, 1 (1983)

  3. 3.

    Courths, R., Hüfner, S.: Phys. Rep.112, 53 (1984)

  4. 4.

    Woodruff, D.P., Johnson, P.D., Smith, N.V.: J. Vac. Sci. Technol.A1, 1104 (1983)

  5. 5.

    Smith, N.V.: Vacuum33, 803 (1983)

  6. 6.

    Dose, V.: Prog. Surf. Sci.13, 225 (1983)

  7. 7.

    Scheidt, H.: Fortschr. Phys.31, 357 (1983)

  8. 8.

    Himpsel, F.J., Fauster, Th.: J. Vac. Sci. Technol.A2, 815 (1984)

  9. 9.

    Dose, V.: J. Phys. Chem.88, 1681 (1984)

  10. 10.

    Dose, V.: Appl. Surf. Sci.22/23, 338 (1985)

  11. 11.

    Woodruff, D.P., Smith, N.V.: Phys. Rev. Lett.48, 283 (1982)

  12. 12.

    Woodruff, D.P., Smith, N.V., Johnson, P.D., Royer, W.: Phys. Rev.B26, 2943 (1982)

  13. 13.

    Nilsson, P.O., Kovacs, A.: Phys. Scr.T4, 61 (1983)

  14. 14.

    Thörner, G., Borstel, G.: Solid State Commun.47, 329 (1983)

  15. 15.

    Altmann, W., Dose, V., Goldmann, A., Kolac, U., Rogozik, J.: Phys. Rev.B29, 3015 (1984)

  16. 16.

    Dose, V., Altmann, W., Goldmann, A., Kolac, U., Rogozik, J.: Phys. Rev. Lett.52, 1919 (1984)

  17. 17.

    Straub, D., Himpsel, F.J.: Phys. Rev. Lett.52, 1922 (1984)

  18. 18.

    Dose, V., Kolac, U., Borstel, G., Thörner, G.: Phys. Rev.B29, 7030 (1984)

  19. 19.

    Smith, N.V.: Appl. Surf. Sci.22/23 349 (1985)

  20. 20.

    Woodruff, D.P., Hulbert, S.L., Johnson, P.D., Smith, N.V.: Phys. Rev.B31, 4046 (1985)

  21. 21.

    Hulbert, S.L., Johnson, P.D., Stoffel, N.G., Royer, W.A., Smith, N.V.: Phys. Rev.B31, 6815 (1985)

  22. 22.

    Thörner, G., Borstel, G., Dose, V., Rogozik, J.: Surf. Sci.157, L379 (1985)

  23. 23.

    Kolac, U., Fauster, Th., Dose, V., Altmann, W.: Solid State Commun.54, 791 (1985)

  24. 24.

    Bartynski, R.A., Gustafsson, T., Soven, P.: Phys. Rev.B31, 4745 (1985)

  25. 25.

    Reihl, B., Frank, K.H.: Phys. Rev.B31, 8282 (1985)

  26. 26.

    Goldmann, A., Dose, V., Borstel, G.: Phys. Rev.B32, 1971 (1985)

  27. 27.

    Desinger, K., Dose, V., Glöbl, M., Scheidt, H.: Solid State Commun.49, 479 (1984)

  28. 28.

    Mahan, G.D.: Phys. Rev.B2, 4334 (1970)

  29. 29.

    Dempsey, D.G., Kleinmann, L.: Phys. Rev.B16, 5356 (1977)

  30. 30.

    Kevan, S.D.: Phys. Rev.B28, 4822 (1983)

  31. 31.

    Gartland, P.O., Slagsvold, B.J.: Phys. Rev.B12, 4047 (1975)

  32. 32.

    Heimann, P., Hermanson, J., Miosga, H., Neddermeyer, H.: Surf. Sci.85, 263 (1979)

  33. 33.

    Kevan, S.D.: Phys. Rev. Lett.50, 526 (1983)

  34. 34.

    Hermanson, J.: Solid State Commun.22, 9 (1977)

  35. 35.

    Bross, H., et al.: Private communication

  36. 36.

    Eckhardt, H., Fritsche, L., Noffke, J.: J. Phys. F.: Met. Phys.14, 97 (1984)

  37. 37.

    Jaklevic, R.C., Davis, L.C.: Phys. Rev.B26, 5391 (1982)

  38. 38.

    Kleinherbers, K.K., Goldmann, A., Tamura, E., Feder, R.: Solid State Commun.49, 735 (1984)

  39. 39.

    Zimmer, H.-G., Westphal, D., Kleinherbers, K.K., Goldmann, A.: Surf. Sci.146, 425 (1984)

  40. 40.

    Feder, R., Awe, B., Tamura, E.: Surf. Sci.157, 183 (1985)

  41. 41.

    Kane, E.O.: Phys. Rev. Lett.12, 97 (1964)

  42. 42.

    Dose, V., Reusing, G.: Solid State Commun.48, 683 (1983)

  43. 43.

    Based on experimental data presented in [44] ; result modified by the authors of [3]

  44. 44.

    Knapp, J.A., Himpsel, F.J., Eastman, D.E.: Phys. Rev.B19, 4952 (1979)

  45. 45.

    Lindgren, S.A., Paul, J., Wallden, L.: Solid State Commun.44, 639 (1982)

  46. 46.

    Marel, D. van der, Sawatzky, G.A., Zeller, R., Hillebrecht, F.U., Fuggle, J.C.: Solid State Commun.50, 47 (1984)

  47. 47.

    Extracted by the present authors from the experimental results obtained by Jaklevic and Davis [37]

  48. 48.

    Shevchik, N.J.: Phys. Rev.B16, 3428 (1977)

  49. 49.

    Williams, R.S., Wehner, P.S., Stöhr, J., Shirley, D.A.: Phys. Rev. Lett.39, 302 (1977)

  50. 50.

    Knapp, J.A., Himpsel, F.J., Williams, A.R., Eastman, D.E.: Phys. Rev.B19, 2844 (1979)

  51. 51.

    Hussain, Z., Fadley, C.S., Kono, S., Wagner, L.F.: Phys. Rev.B22, 3750 (1980)

  52. 52.

    Kevan, S.D., Shirley, D.A.: Phys. Rev.B22, 542 (1980)

  53. 53.

    Hussain, Z., Umbach, E., Barton, J.J., Tobin, J.G., Shirley, D.A.: Phys. Rev.B25, 672 (1982)

  54. 54.

    Martensson, H., Nilsson, P.-O., Kanski, J.: Appl. Surf. Sci.11/12, 652 (1982)

  55. 55.

    Martensson, H., Larsson, C.G., Nilsson, P.-O.: Surf. Sci.126, 214 (1983)

  56. 56.

    Larsson, C.G., Pendry, J.B.: J. Phys. C: Solid State Phys.14, 3089 (1981)

  57. 57.

    Martensson, H.: Phys. Rev.B27, 4492 (1983)

  58. 58.

    Goldmann, A.: Unpublished result. Our data agree well with those reported in [52] Phys. Rev.B22, 542 (1980)

  59. 59.

    Value extracted by us from the results reported in [49]

  60. 60.

    Shockley, W.: Phys. Rev.56, 317 (1939)

  61. 61.

    Tamm, I.: Z. Phys.76, 848 (1932)

  62. 62.

    Echenique, P.M., Pendry, J.B.: J. Phys. C.: Solid State Phys.11, 2065 (1978)

  63. 63.

    Hulbert, S.L., Johnson, P.D., Stoffel, N.G., Smith, N.V.: Phys. Rev.B32, 3451 (1985)

  64. 64.

    Smith, N.V.: Phys. Rev.B32, 3549 (1985)

  65. 65.

    Dose, V.: Surf. Sci. Rep. (in course of publication)

  66. 66.

    Donath, M., Glöbl, M., Senftinger, B., Dose, V.: Solid State Commun. (submitted for publication)

  67. 67.

    Kevan, S.D.: Phys. Rev.B28, 2268 (1983)

  68. 68.

    Extracted by us from results of [24]

  69. 69.

    Bartynski, R.A., Gustafson, T.: Energy values quoted in [64]

  70. 70.

    Hölzl, J., Schulte, F.K.: Springer Tracts in Modern Physics. Vol. 85. Berlin, Heidelberg, New York: Springer 1979

  71. 71.

    Thörner, G.: Unpublished results

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Jacob, W., Dose, V., Kolac, U. et al. Bulk, surface and thermal effects in inverse photoemission spectra from Cu(100), Cu(110) and Cu(111). Z. Physik B - Condensed Matter 63, 459–470 (1986). https://doi.org/10.1007/BF01726194

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Keywords

  • Surface State
  • Brillouin Zone
  • Radiative Transition
  • Image Potential
  • Transition Model