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Theory of Helium Scattering from Surface Phonons

  • V. Celli
Part of the Springer Series in Surface Sciences book series (SSSUR, volume 21)

Abstract

This is a review of the application of atom-surface scattering theory to the determination of surface phonon spectra throughout the surface Brillouin zone. It focuses on the interpretation of time-of-flight (TOF) experiments using He beams and on the discussion of the He-surface interaction. Earlier reviews covering some of the same subjects include those by Goodman [6.1], Goodman and Wachman [6.2], Engel and Rieder [6.3], Celli [6.4], Barker and Auerbach [6.5], and Bortolani and Levi [6.6], as well as the book edited by Benedek and Valbusa [6.7]. A fuller review of the experiments is given in Chap. 5.

Keywords

Reflection Coefficient Phonon Density Surface Phonon Distort Wave Born Approximation Phonon Dispersion Relation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 6.1
    F.O. Goodman: Surf. Sci. 24, 667 (1971)Google Scholar
  2. 6.2
    F.O. Goodman, H.Y. Wachman: Dynamics of Gas-Surface Scattering (Academic, New York 1976)Google Scholar
  3. 6.3
    T. Engel, K.H. Rieder: In Structural Studies of Surfaces, ed. by. G. Hohler (Springer, Berlin, Heidelberg 1982) p.55Google Scholar
  4. 6.4
    V. Celli: In Many-Body Phenomena at Surfaces, ed. by D. Langreth, H. Suhl (Academic, Orlando 1984) p.315Google Scholar
  5. 6.5
    J.A. Barker, DJ. Auerbach: Surf. Sci. Rep. 4, 1 (1985)Google Scholar
  6. 6.6
    V. Bortolani, A.C. Levi: Riv. Nuovo Cimento 9, 1 (1986)Google Scholar
  7. 6.7
    Dynamics of Gas-Surface Interaction, ed. by G. Benedek, U. Valbusa (Springer, Berlin, Heidelberg 1982)Google Scholar
  8. 6.8
    B.R. Williams: J. Chem. Phys. 55, 3220 (1971).Google Scholar
  9. B.F. Mason, B.R. Williams: ibid., 61, 2765 (1974); 75, 2199 (1981)Google Scholar
  10. B.F. Mason, B.R. Williams: Phys. Rev. Lett. 46, 1138 (1981)Google Scholar
  11. B.F. Mason, K. McGreer, B.R. Williams: Surf. Sci. 130, 282 (1983)Google Scholar
  12. 6.9
    E. Semerad, E.M. Horl: Surf. Sci. 115, 346 (1982) and 126, 661 (1983)Google Scholar
  13. 6.10
    A.A. Maradudin, E.W. Montroll, C.H. Weiss, LP. Ipatova: Theory of Lattice Dynamics in the Harmonie Approximation, 2nd ed. (Academic, New York 1971)Google Scholar
  14. 6.11
    K.D. Gibson, S.J. Sibener: Phys. Rev. Lett. 55, 1514 (1985).Google Scholar
  15. K.D. Gibson, S.J. Sibener, D.L. Mills, B.M. Hall, J.E. Black: J. Chem. Phys. 83, 4256 (1985)Google Scholar
  16. 6.12
    K. Kern, P. Zeppenfeld, R. David, G. Comsa: Phys. Rev. B 35, 886 (1987)Google Scholar
  17. 6.13
    J.H. Weare: J. Chem. Phys. 61, 2900 (1974)Google Scholar
  18. 6.14
    G. Benedek: Phys. Rev. Lett. 35, 234 (1975)Google Scholar
  19. 6.15
    G. Benedek, G. Brusdeylins, J.P. Toennies: Phys. Rev. B 27, 2488 (1983)Google Scholar
  20. 6.16
    G. Benedek, G. Brusdeylins, R.B. Doak, J.G. Skofronick, JJP. Toennies: Phys. Rev. B 28, 2104 (1983)Google Scholar
  21. 6.17
    WJL. Nichols, J.H. Weare: Phys. Rev. Lett. 56, 753 (1985)Google Scholar
  22. 6.18
    R. Avila, M. Lagos: Surf. Sci. 103, L104 (1981)Google Scholar
  23. 6.19
    J.M. Jackson, N.F. Mott: Proc. Roy. Soc. A 137, 703 (1932)Google Scholar
  24. 6.20
    J.M. Lennard-Jones, C. Strachan: Proc. Roy. Soc. A 150, 442 (1935).Google Scholar
  25. A.F. Devonshire: ibid., 158, 269 (1937)Google Scholar
  26. C. Strachan: ibid., 158, 591 (1937)Google Scholar
  27. 6.21
    N. Cabrera, V. Celli, R. Manson: Phys. Rev. Lett. 22, 346 (1969)Google Scholar
  28. R. Manson, V. Celli: Surf. Sci. 24, 495 (1971)Google Scholar
  29. 6.22
    F.O. Goodman: Surf. Sci. 30, 1 (1972)Google Scholar
  30. 6.23
    U. Garibaldi, A.C. Levi, R. Spadacini, G.E. Tommei: Surf. Sci. 38, 269 (1973)Google Scholar
  31. 6.24
    J.L. Beeby: J. Phys. C 5, 3438 and 3457 (1972)Google Scholar
  32. 6.25
    M. Lagos, L. Birstein: Surf. Sci. 52, 391 (1975)Google Scholar
  33. M. Lagos: ibid., 65, 124 (1977)Google Scholar
  34. 6.26
    A.A. Marvin, F. Toigo: Nuovo Cimento B 53, 25 (1979)Google Scholar
  35. 6.27
    A.C. Levi: Nuovo Cimento B 54, 357 (1979)Google Scholar
  36. 6.28
    G. Armand, J.R. Manson: Surf. Sci. 80, 532 (1979)Google Scholar
  37. 6.29
    G. Benedek, N. Garcia: Surf. Sci. 80, 543 (1979)Google Scholar
  38. 6.30
    A.C. Levi, H. Suhl: Surf. Sci. 88, 221 (1979)Google Scholar
  39. 6.31
    W. Brenig: Z. Phys. B 36, 81 (1979).Google Scholar
  40. W. Brenig, R. Sedlmeir: ibid., 36, 245 (1980)Google Scholar
  41. 6.32
    G. Benedek, N. Garcia: Surf. Sci. 103, L143 (1981)Google Scholar
  42. 6.33
    H.-D. Meyer: Surf. Sci. 104, 117 (1981).Google Scholar
  43. H.-D. Meyer, R.D. Levine: Chem. Phys. 85, 189 (1984)Google Scholar
  44. 6.34
    J. Stutzki, W. Brenig: Z. Phys. B 45, 49 (1981)Google Scholar
  45. 6.35
    R. Brako, D.M. Newns: Phys. Rev. Lett. 48, 1859 (1982)Google Scholar
  46. R. Brako, D.M. Newns: Surf. Sci. 117, 42 (1982)Google Scholar
  47. 6.36
    R. Brako: Surf. Sci. 123, 439 (1982)Google Scholar
  48. 6.37
    V. Celli, G. Benedek, U. Harten: Surf. Sci. 143, L376 (1984)Google Scholar
  49. 6.38
    V. Celli, A.A. Maradudin: Phys. Rev. B 31, 825 (1985)Google Scholar
  50. 6.39
    A. Marvin, V. Celli, F. Toigo: Surf. Sci. 154, 121 (1985)Google Scholar
  51. 6.40
    M.D. Stiles, J.W. Wilkins, M. Persson: Phys. Rev. B 34, 4490 (1986)Google Scholar
  52. 6.41
    M.D. Stiles, J.W. Wilkins: Phys. Rev. B 37, 7306 (1988)Google Scholar
  53. 6.42
    G. Armand, J.R. Manson, C.S. Jayanthi: Phys. Rev. B 34, 6627 (1986)Google Scholar
  54. 6.43
    J. Idiodi, V. Bortolani, A. Franchini, G. Santoro, V. Celli: Phys. Rev. B 35, 6029 (1987)Google Scholar
  55. 6.44
    J.R. Manson, G. Armand: J. Vac. Sci. Technol. A 5, 448 (1987)Google Scholar
  56. J.R. Manson, G. Armand: Surf. Sci. 195, 513 (1988)Google Scholar
  57. 6.45
    G. Armand, J.R. Manson: Phys. Rev. B 37, 4363 (1988)Google Scholar
  58. 6.46
    V. Bortolani, V. Celli, A. Franchini, J. Idiodi, G. Santoro, K. Kern, B. Poelsema, G. Comsa: Surf. Sci. 208, 1 (1989)Google Scholar
  59. 6.47
    G. Armand: J. Phys. France 50, 1493 (1989)Google Scholar
  60. 6.48
    D. Eichenauer, JP. Toennies: In Dynamics at Surfaces, ed. by B. Pullman et al. (Reidei, Dordrecht 1984) p. lGoogle Scholar
  61. 6.49
    D. Eichenauer, J.P. Toennies: J. Chem. Phys. 85, 532 (1987)Google Scholar
  62. 6.50
    D. Eichenauer, U. Harten, J.P. Toennies, V. Celli: J. Chem. Phys. 86, 3693 (1987)Google Scholar
  63. 6.51
    V. Bortolani, A. Franchini, F. Nizzoli, G. Santoro, G. Benedek, V. Celli: Surf. Sci. 128, 249 (1983)Google Scholar
  64. 6.52
    V. Bortolani, A. Franchini, F. Nizzoli, G. Santoro, G. Benedek, V. Celli, N. Garcia: Solid State Commun. 48, 1045 (1983)Google Scholar
  65. 6.53
    V. Bortolani, A. Franchini, N. Garcia, F. Nizzoli, G. Santoro: Phys. Rev. B 28, 7358 (1983)Google Scholar
  66. 6.54
    V. Bortolani, A. Franchini, F. Nizzoli, G. Santoro: Phys. Rev. Lett. 52, 429 (1984)Google Scholar
  67. 6.55
    V. Celli, G. Benedek, U. Harten, J.P. Toennies, R.B. Doak, V. Bortolani: Surf. Sci. 143, L376 (1984)Google Scholar
  68. 6.56
    V. Bortolani, A. Franchini, G. Santoro, U. Harten, J.P. Toennies: Surf. Sci. 148, 82 (1984)Google Scholar
  69. 6.57
    V. Bortolani, A. Franchini, F. Nizzoli, G. Santoro: In Electronic Structure, Dynamics, and Quantum Structural Properties of Condensed Matter, ed. by J.T. Devreese, P. Van Camp (Plenum, New York 1985) p.401Google Scholar
  70. 6.58
    V. Bortolani, G. Santoro: In Phonon Physics, ed. by J. Kollar, N. Kroo, M. Menyhard, T. Siklos (World Scientific, Singapore 1985) p.566Google Scholar
  71. 6.59
    V. Bortolani, A. Franchini, G. Santoro: In Dynamical Phenomena at Surfaces, Interfaces, and Superlattices, ed. by F. Nizzoli, K.H. Rieder, R.F. Willis (Springer, Berlin, Heidelberg 1985) p.92Google Scholar
  72. 6.60
    V. Bortolani, A. Franchini, F. Nizzoli, G. Santoro: Surf. Sci. 152, 811 (1985)Google Scholar
  73. 6.61
    J.E. Black, A. Franchini, V. Bortolani, G. Santoro, R.F. Wallis: Phys. Rev. B 36, 2996 (1987)Google Scholar
  74. 6.62
    G. Santoro, A Franchini, V. Bortolani, U. Harten, J.P. Toennies, Ch. Woll: Surf. Sci. 183, 180 (1987)Google Scholar
  75. 6.63
    V. Bortolani, A. Franchini, G. Santoro: Surf. Sci. 189/90, 675 (1987)Google Scholar
  76. 6.64
    A. Lock, J.P. Toennies, Ch. Woll, V. Bortolani, A. Franchini, G. Santoro: Phys. Rev. B 37, 7087 (1988)Google Scholar
  77. 6.65
    N. Esbjerg, J.K. Norskov: Phys. Rev. Lett. 45, 807 (1980)Google Scholar
  78. 6.66
    MJ. Stott, E. Zaremba: Phys. Rev. B 22, 1564 (1980)Google Scholar
  79. 6.67
    M. Manninen, J.K. Norskov, MJ. Puska, C. Umrigar: Phys. Rev. B 29, 2314 (1984)Google Scholar
  80. 6.68
    I.P. Batra: Surf. Sci. 148, 1 (1984).Google Scholar
  81. I.P. Batra, P.S. Bagus, J.A. Barker: Phys. Rev. B 31, 1737 (1985)Google Scholar
  82. 6.69
    E. Zaremba, W. Kohn: Phys. Rev. B 15, 1769 (1977)Google Scholar
  83. 6.70
    J. Harris, A. Liebsch: Phys. Rev. Lett. 49, 341 (1982)Google Scholar
  84. 6.71
    J. Harris, A. Liebsch: J. Phys. C 15, 2275 (1982)Google Scholar
  85. 6.72
    P. Nordlander: Surf. Sci. 126, 675 (1983)Google Scholar
  86. 6.73
    P. Nordlander, J. Harris: J. Phys. C 17, 1141 (1984)Google Scholar
  87. 6.74
    E. Fermi: Nuovo Cimento 11, 157 (1934)Google Scholar
  88. 6.75
    M.W. Cole, F. Toigo: Phys. Rev. B 31, 727 (1985)Google Scholar
  89. 6.76
    Y. Takada, W. Kohn: Phys. Rev. Lett. 54, 470 (1985)Google Scholar
  90. 6.77
    Y. Takada, W. Kohn: Phys. Rev. B 27, 826 (1987)Google Scholar
  91. 6.78
    W.E. Carlos, M.W. Cole: Surf. Sci. 77, L173 (1978)Google Scholar
  92. W.E. Carlos, M.W. Cole: Phys. Rev. Lett. 43, 697 (1979)Google Scholar
  93. W.E. Carlos, M.W. Cole: Surf. Sci. 91, 339 (1980)Google Scholar
  94. 6.79
    M.W. Cole, D.R. Frankl, D.L. Goodstein: Rev. Mod. Phys. 53, 199 (1981)Google Scholar
  95. 6.80
    G. Vidali, M.W. Cole: Phys. Rev. B 22, 4661 (1980)Google Scholar
  96. G. Vidali, M.W. Cole: Surf. Sci. 110, 10 (1981)Google Scholar
  97. G. Vidali, M.W. Cole, C. Schwartz: Surf. Sci. 87, L273 (1979)Google Scholar
  98. 6.81
    H. Jonsson, J. Weare: Phys. Rev. Lett. 57, 412 (1986)Google Scholar
  99. 6.82
    H. Jonsson, J. Weare: J. Chem. Phys. 86, 3711 (1987)Google Scholar
  100. 6.83
    V. Celli, D. Eichenauer, A. Kaufhold, J.P. Toennies: J. Chem. Phys. 83, 2504 (1985)Google Scholar
  101. 6.84
    P.W. Fowler, JM. Hutson: Phys. Rev. B 33, 3724 (1986)Google Scholar
  102. 6.85
    J.M. Hutson, P.W. Fowler: Surf. Sci. 173, 337 (1986)Google Scholar
  103. 6.86
    D.R. Hamann: Phys. Rev. Lett. 46, 1227 (1981)Google Scholar
  104. 6.87
    N. Garcia, J.A. Barker, K.H. Rieder: Solid State Commun. 45, 567 (1983)Google Scholar
  105. 6.88
    J. Tersoff: Phys. Rev. Lett. 55, 140C (1985)Google Scholar
  106. 6.89
    Y. Takada, W. Kohn: Phys. Rev. Lett. 55, 141C (1985)Google Scholar
  107. 6.90
    J.F. Annett, R. Haydock: Phys. Rev. Lett. 53, 838 (1984)Google Scholar
  108. J.F. Annett, R. Haydock: Phys. Rev. Lett. 57, 1382 (1986)Google Scholar
  109. 6.91
    J.F. Annett, R. Haydock: Phys. Rev. B 29, 3773 (1984)Google Scholar
  110. J.F. Annett, R. Haydock: ibid., 34, 6860 (1986)Google Scholar
  111. 6.92
    J.F. Annett: Phys. Rev. B 35, 7826 (1987)Google Scholar
  112. 6.93
    J. Harris, E. Zaremba: Phys. Rev. Lett. 55, 1940C (1985)Google Scholar
  113. 6.94
    J.A. Barker, N. Garcia, I.P. Batra, M. Baumberger: Surf. Sci. 141, L317 (1984)Google Scholar
  114. 6.95
    F. Herman, S. Skillman: Atomic Structure Calculations (Prentice-Hall, Englewood Cliffs 1963).Google Scholar
  115. E. Clementi, C. Roetti: At. Data Nucl. Data Tables 14, 177 (1974)Google Scholar
  116. 6.96
    H.-Y. Kim, M.W. Cole: Phys. Rev. B 35, 3990 (1987)Google Scholar
  117. 6.97
    B.R.A. Nijboer, M.J. Renne: Chem. Phys. Lett. 2, 35 (1969)Google Scholar
  118. 6.98
    E. Cheng, M.W. Cole: Phys. Rev. B 38, 987 (1988)Google Scholar
  119. 6.99
    J.M. Hutson, P.W. Fowler, E. Zaremba: Surf. Sci. 175, L775 (1986)Google Scholar
  120. 6.100
    E. Zaremba, W. Kohn: Phys. Rev. B 13, 2270 (1976)Google Scholar
  121. 6.101
    A. Liebsch: Phys. Rev. B 33, 7249 (1986)Google Scholar
  122. 6.102
    K.T. Tang, J.P. Toennies: J. Chem. Phys. 80, 3726 (1984)Google Scholar
  123. 6.103
    W.A. Steele: The Interaction of Gases with Solid Surfaces (Pergamon, New York 1974) p.22Google Scholar
  124. 6.104
    N.R. Hill, M. Haller, V. Celli: Chem. Phys. 73, 363 (1982)Google Scholar
  125. 6.105
    A.M. Lahee, W. Allison, R.F. Willis: Surf. Sci. 147, L630 (1984)Google Scholar
  126. 6.106
    N.D. Lang, J.K. Norskov: Phys. Rev. B 27, 4612 (1983)Google Scholar
  127. 6.107
    M.G. Dondi, S. Terreni, F. Tommasini, U. Linke: Phys. Rev. B 37, 8034 (1988)Google Scholar
  128. 6.108
    H. Hoinkes, H. Nahr, H. Wilsch: Surf. Sci. 33, 516 (1972)Google Scholar
  129. 6.109
    G. Armand, J. Lapujoulade, Y. Lejay: Surf. Sci. 63, 143 (1977)Google Scholar
  130. 6.110
    J.L. Beeby: J. Phys. C 4, L359 (1971)Google Scholar
  131. 6.111
    G. Armand, J.R. Manson: J. Phys. France 44, 473 (1983)Google Scholar
  132. 6.112
    P. Cantini, G.P. Felcher, R. Tatarek: Phys. Rev. Lett. 37,606 (1976)Google Scholar
  133. P. Cantini, G.P. Felcher, R. Tatarek: In Proceedings of the Seventh International Vacuum Congress and the Third International Conference on Solid Surfaces, ed. by R. Dobrozemsky et al. (Vienna 1977) p. 1357Google Scholar
  134. 6.113
    G. Brusdeylins, R.B. Doak, J.P. Toennies: J. Chem. Phys. 75, 1784 (1981).Google Scholar
  135. G. Lilienkamp, J.P. Toennies: Phys. Rev. B 26,4752 (1982)Google Scholar
  136. G. Lilienkamp, J.P. Toennies: J. Chem. Phys. 78, 5210 (1983)Google Scholar
  137. 6.114
    P. Cantini, R. Tatarek: Phys. Rev. B 23, 3030 (1981)Google Scholar
  138. 6.115
    D. Evans, V. Celli, G. Benedek, J.P. Toennies, R.B. Doak: Phys. Rev. Lett. 50, 1854 (1983)Google Scholar
  139. 6.116
    W.L. Nichols, J.H. Weare: Phys. Rev. Lett. 56, 753 (1985)Google Scholar

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  • V. Celli

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