Skip to main content

Vibrational Properties of Clean Surfaces: Survey of Recent Theoretical and Experimental Results

  • Chapter
Surface Phonons

Part of the book series: Springer Series in Surface Sciences ((SSSUR,volume 21))

  • 454 Accesses

Abstract

Current methods for the experimental investigation of surface vibrations and for the calculation of surface phonon dispersion curves have been reviewed in the preceding contributions. For each method some characteristic results were shown. Our present knowledge of surface vibrations is, however, not restricted to the few examples presented in the preceding chapters. The surface vibrations of a large variety of solids have been studied, both experimentally and theoretically, during recent years and a large amount of data has been accumulated. In this last chapter the attempt is made to provide a systematic and complete survey of the surface phonon dispersion curves of clean surfaces.

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 16.99
Price excludes VAT (USA)
  • Compact, lightweight 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.

References

  1. B. Bilz, W. Kress: Phonon Dispersion Relations in Insulators (Springer, Berlin, Heidelberg 1979)

    Google Scholar 

  2. F.W. de Wette, W. Kress, U. Schröder: Phys. Rev. B32, 4143 (1985).

    Google Scholar 

  3. F.W. de Wette: this volume, p. 67

    Google Scholar 

  4. G. Benedek, L. Miglio: this volume, p. 37

    Google Scholar 

  5. J.P. Toennies: this volume, p. 111

    Google Scholar 

  6. DJL. Mills, S.Y. Tong, J.E. Black: this volume, p. 193

    Google Scholar 

  7. J.L. Verble, J.L. Warren, J.L. Yamell: Phys. Rev. 168, 980 (1968)

    CAS  Google Scholar 

  8. R.K. Singh: J. Phys. C 7, 3473 (1974)

    Google Scholar 

  9. S.S. Jaswal, V.D. Dilly: Phys. Rev. B15, 2366 (1977)

    Google Scholar 

  10. D. Laplaze: J. Phys. C 10, 3499 (1977)

    Google Scholar 

  11. H. Wendel, R. Zeyher: Phys. Rev. B21, 5544 (1980)

    Google Scholar 

  12. G. Dolling, H.G. Smith, RM. Nicklow, P.R. Vijayaraghavan, MX. Wilkinson: Phys. Rev. 168, 970 (1968)

    CAS  Google Scholar 

  13. V. Nüsslein, U. Schröder: Phys. Stat. Sol. 21, 309 (1967)

    Google Scholar 

  14. K.V. Namjoshi, S.S. Mitra, J.F. Vetelino: Phys. Rev. B 3, 4398 (1971)

    Google Scholar 

  15. M.P. Verma, R.K. Singh: J. Phys. C 4, 2749 (1971)

    Google Scholar 

  16. A.N. Basu, S. Sengupta: J. Phys. C 5, 1158 (1972)

    Google Scholar 

  17. A. Rastogi, J.P. Hawranek, R.P. Lowndes: Phys. Rev. B 9, 1938 (1974)

    Google Scholar 

  18. T.S. Chen, F.W. de Wette, G.P. Alldredge: Phys. Rev. B 15, 1167 (1977)

    Google Scholar 

  19. W. Kress, F.W. de Wette, A.D. Kulkarni, U. Schröder: Phys. Rev. B 35, 5783 (1987)

    Google Scholar 

  20. G. Benedek, G.P. Brivio, L. Miglio, V.R. Velasco: Phys. Rev. B 26, 497 (1982)

    Google Scholar 

  21. R.B. Doak: Ph. D. thesis, MIT 1981

    Google Scholar 

  22. G. Benedek, J.P. Toennies, R.B. Doak: Phys. Rev. B 28, 7277 (1983)

    Google Scholar 

  23. G. Brusdeylins, R.B. Doak, J.P. Toennies: Phys. Rev. B 27, 3662 (1983)

    Google Scholar 

  24. G. Bracco, M. d’Avanzo, C. Salvo, R. Tatarek, S. Terreni, F. Tommasini: Surf. Sci. 189/190, 684 (1987)

    Google Scholar 

  25. A.D.B. Woods, B.N. Brockhouse, M. Sakamoto, R.N. Sinclair: In Inelastic Scattering of Neutrons in Solids and Liquids, (IAEA, Vienna 1961) p. 487

    Google Scholar 

  26. WJ.L. Buyers: Phys. Rev. 153, 923 (1967)

    CAS  Google Scholar 

  27. L. Miglio, G. Benedek: In Structure and Dynamics of Surfaces, ed. by W. Schommers, P. von Blankenhagen (Springer, Berlin, Heidelberg 1987), Vol. 2, p. 35

    Google Scholar 

  28. J.S. Melvin, J.D. Pirie, T. Smith: Phys. Rev. 175, 1082 (1968)

    CAS  Google Scholar 

  29. A.M. Karo, J.R. Hardy: Phys. Rev. 181, 1272 (1969)

    CAS  Google Scholar 

  30. RJC. Singh, M.P. Verma: Phys. Rev. B 2, 4288 (1970)

    Google Scholar 

  31. K.V. Namjoshi, S.S. Mitra, J.F. Vetelino: Solid State Commun. 9, 185 (1971)

    CAS  Google Scholar 

  32. A. Ghosh, A.N. Basu, S. Sengupta: Proc. Roy. Soc. (London) A340, 199 (1974)

    Google Scholar 

  33. Sneh, B. Dayal: Phys. Status Solidi: B 67, 125 (1975)

    Google Scholar 

  34. R.K. Singh, K. Chandra: Phys. Rev. B 14, 2625 (1976)

    Google Scholar 

  35. V.V.S. Nirwal, R.K. Singh: Phys. Rev. B 20, 5379 (1979)

    Google Scholar 

  36. G. Benedek, L. Miglio, G. Brasdeylins, J.G. Skofronick, J.P. Toennies: Phys. Rev. B 35, 6593 (1987)

    Google Scholar 

  37. G. Brasdeylins, R. Rechsteiner, J.G. Skofronick, J.P. Toennies, G. Benedek, L. Miglio: Phys. Rev. Lett. 54, 466 (1985)

    Google Scholar 

  38. G. Benedek, F. Galimberti: Surf. sci. 71, 87 (1978)

    CAS  Google Scholar 

  39. F. W. de Wette, W. Kress, U. Schröder: Phys. Rev. B 33, 2835 (1986)

    Google Scholar 

  40. G. Raunio, L. Almquist, R. Stedman: Phys. Rev. 178, 1496 (1969)

    CAS  Google Scholar 

  41. G. Raunio, S. Rolandson: Phys. Rev. B 2, 2098 (1979)

    Google Scholar 

  42. G. Bracco, E. Cavanna, A. Gussoni, C. Salvo, R. Tatarek, S. Terreni, F. Tommasini: Vuoto sci. Teen. 16 (1986)

    Google Scholar 

  43. R.K. Singh, M.P. Verma: Phys. Status Solidi 38, 851 (1970)

    CAS  Google Scholar 

  44. R.E. Schmunk, D.R. Winder: J. Phys. Chem. Solids 31, 131 (1970)

    CAS  Google Scholar 

  45. E.R. Cowley: J. Phys. C 5, 1345 (1972)

    Google Scholar 

  46. O.N. Bolonin: Sov. Phys. Solid State 18, 1415 (1976)

    Google Scholar 

  47. A.N. Basu, S. Sengupta: Phys. Rev. B 14, 2635 (1976)

    Google Scholar 

  48. SK. Sarkar, S. Sengupta: Phys. Status Solidi B 87, 517 (1978)

    Google Scholar 

  49. F.W. de Wette, G.P. Alldredge: In Methods of Computational Physics, ed. by G. Gilat, B. Alder, S. Fernbach, M. Rotenberg (Academic, New York 1976) p.163

    Google Scholar 

  50. G. Benedek, L. Miglio: In Ab Initio Calculation of Phonon Spectra, ed. by J.T. Devreese, V.E. van Dören, P.E. van Camp (Plenum, New York 1983) p. 215.

    Google Scholar 

  51. G. Benedek: In Collective Excitations in Solids, ed. by B. di Bartolo, J. Danko (Plenum, New York 1983) p.523

    Google Scholar 

  52. F.W. de Wette, AD. Kulkarni, U. Schröder, W. Kress: Phys. Rev. B 35, 2476 (1987)

    Google Scholar 

  53. G. Raunio, S. Rolandson: Phys. Rev. B 6, 2511 (1972)

    Google Scholar 

  54. G. Benedek, G. Brasdeylins, R.B. Doak, J.G. Skofronick, J.P. Toennies: Phys. Rev. B 28, 2104 (1983)

    Google Scholar 

  55. J. S. Reid, T. Smith, W.J.L. Buyers: Phys. Rev. B 1, 1833 (1970)

    Google Scholar 

  56. O.N. Bolin: Sov. Phys. Solid State 19, 1088 (1977)

    Google Scholar 

  57. A.D.B. Woods, W. Cochran, B.N. Brockhouse: Phys. Rev. 119, 980 (1960)

    CAS  Google Scholar 

  58. A.D.B. Woods, B.N. Brockhouse, R.A. Cowley, W. Cochran: Phys. Rev. 131, 1025 (1963)

    CAS  Google Scholar 

  59. R.A. Cowley, W. Cochran, B.N. Brockhouse, A.D.B. Woods: Phys. Rev. 131, 1030 (1963)

    CAS  Google Scholar 

  60. U. Schröder: Solid State Commun. 4, 347 (1966)

    Google Scholar 

  61. A.N. Basu, S. Sengupta: Phys. Stat. Sol. 29, 367 (1968)

    CAS  Google Scholar 

  62. T.I. Kucher, O.E. Tomasevich: Sov. Phys. Solid State 12, 423 (1970)

    Google Scholar 

  63. H.G. Smith, W. Gläser: In Phonons, ed. by M.A. Nusimovici (Flammarion, Paris 1971) p. 145

    Google Scholar 

  64. W. Bühren Phys. Status Solidi 41, 789 (1970)

    Google Scholar 

  65. G. Raunio, L. Almquist: Phys. Status Solidi 33, 209 (1969)

    CAS  Google Scholar 

  66. J.R.D. Copley, R.W. MacPherson, T. Timusk: Phys. Rev. 182, 965 (1969)

    CAS  Google Scholar 

  67. H.N. Gupta, R.S. Upadhyaya: Phys. Status Solidi B 93, 781 (1979)

    Google Scholar 

  68. G. Benedek, G. Brasdeylins, R.B. Doak, J.P. Toennies: J. Physique 42, C6–793 (1981)

    Google Scholar 

  69. E.C. Svensson, W.L.J. Buyers: Phys. Rev. 165, 1063 (1968)

    CAS  Google Scholar 

  70. G. Chem, J.G. Skofronick, W.P. Brag, S.A. Safran: Phys. Rev. B 39, 12828 (1989)

    Google Scholar 

  71. G. Dolling, R.A. Cowley, C. Schittenhelm, J.M. Thorson: Phys. Rev. 147, 577 (1966)

    CAS  Google Scholar 

  72. G. Raunio, S. Rolandson: J. Phys. C 3, 1013 (1970)

    Google Scholar 

  73. H.H. Lai, M.P. Verma: J. Phys. C 5, 543 (1972)

    Google Scholar 

  74. R.K. Singh, H.N. Gupta, M.K. Agrawal: Phys. Rev. B 17, 894 (1978)

    Google Scholar 

  75. W. Kress, F.W. de Wette, A.D. Kulkarni, U. Schröder: Phys. Rev. B 35, 2467 (1987)

    Google Scholar 

  76. S. Rolandson, G. Raunio: J. Phys. C 4, 958 (1971)

    Google Scholar 

  77. G. Chem, J.G. Skofronick, W.P. Brag, S.A. Safran: Phys. Rev. B 39, 12838 (1989)

    Google Scholar 

  78. G. Raunio, S. Rolandson: Phys. Stat. Sol. 40, 749 (1970)

    CAS  Google Scholar 

  79. W. Kress: Phys. Status Solidi B 62, 403 (1974)

    Google Scholar 

  80. N. Wakabayashi, H.G. Smith, K.C. Woo F.C. Brown: Solid State Commun. 28, 923 (1978)

    CAS  Google Scholar 

  81. M.J.L. Sangster, G. Peckham, DM. Saunderson: J. Phys. C 3, 1026 (1970)

    Google Scholar 

  82. R.K. Singh, K.S. Upadhyaya: Phys. Rev. B 6, 1589 (1972)

    Google Scholar 

  83. M.P. Verma, S.K. Agrawal: Phys. Rev. B 8, 4880 (1973)

    Google Scholar 

  84. R.N. Bamett, R. Bass: Phys. Rev. B 19, 4259 (1979)

    Google Scholar 

  85. A.J. Martin, H. Bilz: Phys. Rev. B 19, 6593 (1979)

    Google Scholar 

  86. G. Lakshmi, F.W. de Wette: Phys. Rev. B 22, 5009 (1980)

    Google Scholar 

  87. G. Brusdeylins, R.B. Doak, J.G. Skofronick, J.P. Toennies: Surf. sci. 128, 191 (1983)

    CAS  Google Scholar 

  88. W. Kress : In Landolt-Bömstein, Numerical Data and Functional Relationships in Science and Technology, New Series, Group m, Vol. 13, p.259 (Springer, Berlin, Heidelberg 1983)

    Google Scholar 

  89. W. Hanke, J. Hafner, H. Bilz: Phys. Rev. Lett. 37, 1560 (1976)

    CAS  Google Scholar 

  90. C.M. Varma, W. Weber: Phys. Rev. Lett. 39, 1094 (1977)

    CAS  Google Scholar 

  91. C.M. Varma, W. Weber: Phys. Rev. B 19, 6142 (1979)

    Google Scholar 

  92. W. Weber: In Physics of Transition metals, 1980, ed. by P. Rhodes (The Institute of Physics, London 1981) p.495.

    Google Scholar 

  93. W. Weber: Phys. Rev. B 8, 5082 (1973)

    Google Scholar 

  94. M. Miura, W. Kress, H. Bilz: Z. Phys. B 54, 103 (1984)

    Google Scholar 

  95. L. Pintschovius, W. Reichardt, B. Scheerer: J. Phys. C 11, 1557 (1978)

    Google Scholar 

  96. C. Oshima, T. Aizawa, M. Wuttig, R. Souda, S. Otani, Y. Ishizawa: Phys. Rev. B 36, 7510 (1987)

    Google Scholar 

  97. H. Ishida, K. Terakura: Phys. Rev. B 36,4403 (1987)

    Google Scholar 

  98. M. Wuttig, C. Oshima, T. Aizawa, R. Souda, S. Otani, Y. Ishizawa: Surf. sci. 193, 180 (1988)

    CAS  Google Scholar 

  99. W. Kress, P. Roedhammer, H. Bilz, W.D. Teuchert, A.N. Christensen: Phys. Rev. B 17, 111 (1978)

    Google Scholar 

  100. G. Benedek, M. Miura, W. Kress, H. Bilz: Phys. Rev. Lett. 52, 1907 (1984)

    CAS  Google Scholar 

  101. G. Benedek, M. Miura, W. Kress, H. Bilz: Surf. sci. 148, 107 (1984)

    CAS  Google Scholar 

  102. K.H. Rieder, W. Drexel: Phys. Rev. Lett. 34, 148 (1975)

    CAS  Google Scholar 

  103. M. Wuttig, C. Oshima, T. Aizawa, R. Souda, S. Otani, Y. Ishizawa: Surf. sci. 192, 573 (1987)

    CAS  Google Scholar 

  104. H.G. Smith, W. Gläser: Phys. Rev. Lett. 25, 1611 (1970)

    CAS  Google Scholar 

  105. F. Gompf, L. Pintschovius, W. Reichardt, B. Scheerer: In Proc. Conf. Neutron Scattering, ed. by R. M. Moon, (US Department of Commerce, CONF-760601-P1, Springfield 1976) Vol.1, p. 129

    Google Scholar 

  106. C. Oshima, R. Souda, M. Aono, S. Otani, Y. Ishizawa: Phys. Rev. Lett. 56, 240 (1986)

    CAS  Google Scholar 

  107. H. Ishida, K. Terakura: Phys. Rev. B 34, 5719 (1986)

    Google Scholar 

  108. C. Oshima, R. Souda, M. Aono, S. Otani, Y. Ishizawa: Solid State Commun. 57, 283 (1986)

    CAS  Google Scholar 

  109. C. Oshima: Phys. Rev. B 34, 2949 (1986)

    Google Scholar 

  110. J. Müller, J.L. Olsen (eds.): Proc. Int. Conf. on High Temperature Superconductors and Materials and Mechanisms of Superconductivity, Physica C 153–155 (1988)

    Google Scholar 

  111. R.N. Shelton, W.A. Harrison, N.E. Phillips (eds.): Proc. Int. Cor., on Materials and Mechanisms of Superconductivity; High Temperature Superconductors n, Physica C 162–164 (1989)

    Google Scholar 

  112. N. Lehner, H. Rau, K. Strobel, R. Geick, G. Heger, J. Bouillot, B. Renker, M. Rousseau, W.G. Stirling: J. Phys. C 15, 6545 (1982)

    Google Scholar 

  113. R. Reiger, J. Prade, U. Schröder, F.W. de Wette, W. Kress.: J. Electron Spec, and Related Phenomena 44, 403 (1987)

    CAS  Google Scholar 

  114. R. Reiger, J. Prade, U. Schröder, F.W. de Wette, A.D. Kulkarni, W. Kress: Phys. Rev. B 39, 7938 (1989)

    Google Scholar 

  115. K. Gesi, J.D. Axe, G. Shirane, A. Linz: Phys. Rev. B 5, 1933 (1972)

    Google Scholar 

  116. J. Prade, AD. Kulkarni, F.W. de Wette, R. Reiger, U. Schröder, W. Kress: Surf. sci. 211/212, 329 (1989)

    Google Scholar 

  117. R.A. Cowley: Phys. Rev. Lett. 9, 159 (1962)

    CAS  Google Scholar 

  118. R.A. Cowley: Phys. Rev. 134, A981 (1964)

    Google Scholar 

  119. R.A. Cowley, W.J.L. Buyers, G. Dolling: Solid State Commun. 7, 181 (1969)

    CAS  Google Scholar 

  120. G. Shirane, Y. Yamada: Phys. Rev. 177, 859 (1969)

    Google Scholar 

  121. W.B. Stirling: J. Phys. C 5, 2711 (1972)

    Google Scholar 

  122. M. Iizumi, K. Gesi, J. Harada: J. Phys. C 6, 3021 (1973)

    Google Scholar 

  123. G. Shirane: Rev. Mod. Phys. 46, 437 (1974)

    CAS  Google Scholar 

  124. W.G. Stirling, R. Currat: J. Phys. C 9, L 519 (1976)

    Google Scholar 

  125. R. Migoni, H. Bilz, D. Bäuerle: Phys. Rev. Lett. 37, 1155 (1976)

    CAS  Google Scholar 

  126. R. Migoni, K.H. Rieder, K. Fischer, H. Bilz: Ferroelectrics 13, 377 (1976)

    CAS  Google Scholar 

  127. R.A. Cowley: In Lattice Dynamics 1977, ed. by M. Balkanski (Flammarion, Paris 1978) p.625.

    Google Scholar 

  128. J.E. Black, D.A. Campbell, RP. Wallis: Surf. sci. 115, 161 (1982)

    CAS  Google Scholar 

  129. J. Prade, U. Schröder, W. Kress, A.D. Kulkarni, F.W. de Wette: In Phonons 1989, ed. by S. Hunklinger, W. Ludwig, G. Weiss (World Scientific, Singapore 1990) p. 841

    Google Scholar 

  130. N. Nickel, G. Schmidt, K. Heinz, K. Müller: Phys. Rev. Lett. 62, 2009 (1989)

    Google Scholar 

  131. W. Kress: Phonon Dispersion Curves, One-Phonon Densities of States and Impurity Vibrations of Metallic Systems, Physics Data, Vol. 26–1, Fachinformationszentrum Karlsruhe, Karlsruhe (1987)

    Google Scholar 

  132. J.E. Black, V.T. Huynh, DJ. Cheng, R.F. Wallis: Surf. sci. 192, 541 (1987)

    CAS  Google Scholar 

  133. J.A. Stroscio, M. Persson, C.E. Bartsch, W. Ho: Phys. Rev. B 33, 2879 (1986)

    Google Scholar 

  134. S.H. Chen, B.N. Brockhouse: Solid State Commun. 2, 73 (1964)

    CAS  Google Scholar 

  135. A. Larose, B.N. Brockhouse: Can. J. Phys. 54, 1819 (1976)

    CAS  Google Scholar 

  136. M.K. Debe, D.A. King: Phys. Rev. Lett. 39, 708 (1977)

    CAS  Google Scholar 

  137. HJ. Ernst, E. Hulpke, J.P. Toennies: Phys. Rev. Lett. 58, 1941 (1987)

    CAS  Google Scholar 

  138. J.P. Toennies: Physica Scr. T 19, 39 (1987)

    Google Scholar 

  139. C.Z. Wang, E. Tosatti, A. Fasolino, M. Parinello: Surf. sci. 189/190, 679 (1987)

    Google Scholar 

  140. C.Z. Wang, A. Fasolino, E. Tosatti: Europhys. Lett. 7, 263 (1988)

    Google Scholar 

  141. C.L. Fu, AJ. Freeman, E. Wimmer, M. Weinert: Phys. Rev. Lett. 54, 2261 (1985)

    CAS  Google Scholar 

  142. X. W. Wang, W. Weber: Phys. Rev. Lett. 58, 1452 (1987)

    CAS  Google Scholar 

  143. R. Stedman, G. Nilsson: Phys. Rev. 145, 492 (1966)

    CAS  Google Scholar 

  144. K. Lam. Mi. Cohen: Phys. Rev. B 25, 6139 (1982)

    Google Scholar 

  145. D.R. Hamann, M. Schlüter, C. Chiang: Phys. Rev. Lett. 43, 1494 (1979)

    CAS  Google Scholar 

  146. A. Lock, J.P. Toennies, Ch. Wöll, V. Bortolani, A. Franchini, G. Santoro: Phys. Rev. B 37, 7087 (1988)

    Google Scholar 

  147. KM. Ho, K.P. Bohnen: Phys. Rev. Lett. 56, 934 (1986)

    CAS  Google Scholar 

  148. K.M. Ho and K.P. Bohnen: Phys. Rev. B 32, 3446 (1985)

    Google Scholar 

  149. K.M. Ho and K.P. Bohnen: Phys. Rev. 38, 12897 (1988)

    CAS  Google Scholar 

  150. J.P. Toennies, Ch. Wöll: Phys. Rev. B 36, 4475 (1987)

    Google Scholar 

  151. A.G. Eguiluz, A.A. Maradudin, R.F. Wallis: Phys. Rev. Lett. 60, 309 (1988)

    CAS  Google Scholar 

  152. KP. Bohnen, KM. Ho: Surf. sci. 207, 105 (1988)

    CAS  Google Scholar 

  153. RJ. Birgeneau, J. Cordes, G. Dolling, A.D.B. Woods: Phys. Rev. 136, A1359 (1964)

    Google Scholar 

  154. G.A. de Witt, B.N. Brockhouse: J. Appl. Phys. 39, 451 (1968)

    Google Scholar 

  155. S. Lehwald, J. Szenftel, H. Ibach, T.S. Rahman, Di. Mills: Phys. Rev. Lett. 50, 518 (1983)

    CAS  Google Scholar 

  156. M. Rocca, S. Lehwald, H. Ibach, T.S. Rahman: Surf. sci. 138, L 123 (1984)

    CAS  Google Scholar 

  157. Xu Mu-Liang, B.M. Hall, S.Y. Tong, M. Rocca, H. Ibach, S. Lehwald, J.E. Black: Phys. Rev. Lett. 54, 1171 (1985)

    Google Scholar 

  158. S. Lehwald, M. Rocca, H. Ibach, T.S. Rahman: J. Electr. Spectr. Related Phenom. 38, 29 (1986)

    CAS  Google Scholar 

  159. M. Rocca, S. Lehwald, H. Ibach, T.S. Rahman: Surf. sci. 171, 632 (1986)

    CAS  Google Scholar 

  160. V. Bortolani, A. Franchini, F. Nizzoli, G. Santoro: J. Electron Spectr. Relat. Phenom. 29, 219 (1983)

    CAS  Google Scholar 

  161. A.P. Miller, B.N. Brockhouse: Phys. Rev. Lett. 20, 798 (1968)

    Google Scholar 

  162. A.P. Miller, B.N. Brockhouse: Can. J. Phys. 49, 704 (1971)

    CAS  Google Scholar 

  163. A.P. Miller: Can. J. Phys. 53, 2491 (1975)

    Google Scholar 

  164. A.O.E. Animalu: Phys. Rev. B 8, 3555 (1973)

    Google Scholar 

  165. K. Mohammed, MM. Shukla, F. Milstein, J.L. Merz: Phys. Rev. B 29, 3117 (1984)

    Google Scholar 

  166. R.D. Diehl, M. Lindroos, A. Kearsley, CJ. Barnes, D.A. King: J. Phys. C 18, 4069 (1985)

    Google Scholar 

  167. AM. Lahee, J.P. Toennies, Ch. Wöll: Surf. sci. 191, 529 (1987)

    CAS  Google Scholar 

  168. A.G. Eguiluz: private communication (1989)

    Google Scholar 

  169. J.A. Gaspar, A.G. Eguiluz: Phys. Rev. B 40, 11976 (1989)

    Google Scholar 

  170. G. Biimig, H. Rohrer, Ch. Gerber, E. Weibel: Surf. sci. 131, L379 (1983)

    Google Scholar 

  171. H.D. Dutton, BJST. Brockhouse, A.P. Miller: Can. I. Phys. 50, 2915 (1972)

    CAS  Google Scholar 

  172. U. Harten, J.P. Toennies, Ch. Wöll, G. Zhang: Phys. Rev. Lett. 55, 2308 (1985)

    CAS  Google Scholar 

  173. K. Kern, R. David, Pi. Palmer, G. Comsa, T.S. Rahman: Phys. Rev. B 33, 4334 (1986)

    Google Scholar 

  174. D. Neuhaus, F. Joo, B. Feuerbacher: Surf. sci. 165, L90 (1986)

    CAS  Google Scholar 

  175. V. Bortolani, A. Franchini, G. Santoro, J.P. Toeimies, Ch. Wöll, G. Zang: Phys. Rev. B. 40, 3524 (1989)

    Google Scholar 

  176. R. Nicklow, G. Gilat, H.G. Smith, LJ. Raubenheimer, M.K. Wilkinson: Phys. Rev. 164, 922 (1967)

    CAS  Google Scholar 

  177. E.C. Swensson, B.N. Brockhouse, J.M. Rowe: Phys. Rev. 155, 619 (1967)

    Google Scholar 

  178. G. Nilsson, S. Rolandson: Phys. Rev. B 7, 2393 (1973)

    Google Scholar 

  179. A. Larose, B.N. Brockhouse: Can. J. Phys. 54, 1990 (1976)

    CAS  Google Scholar 

  180. G. Nilsson: In Proc. Conf. Neutron Inelastic Scattering. (International Atomic Energy Agency, Vienna 1968) Vol. 1, p.187

    Google Scholar 

  181. G. Nilsson, S. Rolandson: Phys. Rev. B 9, 3278 (1974)

    Google Scholar 

  182. A. Loidl: J. Phys. F 7, L 57 (1977)

    Google Scholar 

  183. U. Harten, J.P. Toennies, Ch. Wöll: Faraday Discuss. Chem. Soc. 80, 137 (1985)

    Google Scholar 

  184. V. Bortolani, A. Franchini, G. Santoro: In Electronic, Dynamic, and Quantum Structural Properties of Condensed Matter, ed. by J.T. Devreese, P.E. van Camp, p. 401

    Google Scholar 

  185. C.S. Jayanthi, H. Bilz, W. Kress: In Proceedings of the Second International Conference on Phonon Physics, ed. by J. Kollar et al. (World Scientific, Singapore 1985) p.630

    Google Scholar 

  186. C.S. Jayanthi, H. Bilz, W. Kress, G. Benedek: Phys. Rev. Lett. 59, 795 (1987)

    CAS  Google Scholar 

  187. B.F. Manson, K. McGreer, B.R. Williams: Surf. sci. 130, 282 (1983)

    Google Scholar 

  188. J.A. Stroscio, M. Persson, S.R. Bare, W. Ho: Phys. Rev. Lett. 54, 1428 (1985)

    CAS  Google Scholar 

  189. M. Wuttig, R. Franchy, H. Ibach: Solid State Commun. 57, 445 (1986)

    CAS  Google Scholar 

  190. M. Wuttig, R. Franchy, H. Ibach: Z. Phys. B 65, 71 (1986)

    Google Scholar 

  191. B.F. Manson, B.R. Williams: Phys. Rev. Lett. 46, 1138 (1981)

    Google Scholar 

  192. W.A. Kamitakahara, B.N. Brockhouse: Phys. Lett. A 29, 639 (1969)

    CAS  Google Scholar 

  193. W. Drexel: Z. Phys. 255, 281 (1981)

    Google Scholar 

  194. W. Bühren Helv. Phys. Acta 51, 15 (1978)

    Google Scholar 

  195. J.W. Lynn, H.G. Smith, RM. Nicklow: Phys. Rev. B 8, 3493 (1973)

    Google Scholar 

  196. R.B. Doak, U. Harten, J.P. Toennies: Phys. Rev. Lett. 51, 578 (1983)

    CAS  Google Scholar 

  197. V. Bortolani, G. Santoro, U. Harten, J.P. Toennies: Surf. sci. 148, 82 (1984)

    CAS  Google Scholar 

  198. G. Bracco, R. Tatarek, F. Tommasini, U. Linke, M. Persson: Phys. Rev. B 36, 2928 (1987)

    Google Scholar 

  199. W.R. Lambert, P.L. Trevor, R.B. Doak, MJ. Cardillo: J. Vac. sci. Technol. A 2, 1066 (1984)

    Google Scholar 

  200. R.E. Allen, G.P. Alldredge, F.W. de Wette: Phys. Rev. B 4, 1661 (1971)

    Google Scholar 

  201. D. Castiel, L. Dobrzynski, D. Spanjaard: Surf. sci. 59, 252 (1976)

    CAS  Google Scholar 

  202. U. Harten, AM. Lahee, J.P. Toennies, Ch. Wöll: Phys. Rev. Lett. 54, 2619 (1985)

    CAS  Google Scholar 

  203. G. Santoro, A. Franchini, V. Bortolani, U. Harten, J.P. Toennies, Ch. Wöll: Surf. sci. 183, 180 (1987)

    CAS  Google Scholar 

  204. W. Moritz, D. Wolf: Surf. sci. 88, L29 (1979)

    CAS  Google Scholar 

  205. M. Manninen, J.K. Norskov, C. Umrigar: Surf. sci. 119, L393 (1982)

    CAS  Google Scholar 

  206. W. Moritz, D. Wolf: Surf. sci. 163, L655 (1985)

    CAS  Google Scholar 

  207. M. Copel, T. Gustafsson: Phys. Rev. Lett. 57, 723 (1986)

    CAS  Google Scholar 

  208. J. Möller, K. J. Snowdon, W. Heiland, H Niehus: Surf. sci. 178, 475 (1986)

    Google Scholar 

  209. T. Hasegawa, N. Ikarashi, K. Kobayashi, K. Takayanagi, K. Yagi: In Structure of Surfaces II, ed. by J. F. van der Veen, M. A. Van Hove (Springer, Berlin 1988) p.43

    Google Scholar 

  210. K.M. Ho, K.P. Bohnen: Europhys. Lett. 4, 345 (1987)

    CAS  Google Scholar 

  211. A.M. Lahee, J.P. Toennies, Ch. Wöll, K.P. Bohnen, M. Ho: Europhys. Lett. 10, 261 (1989)

    CAS  Google Scholar 

  212. B. Voigtländer, S. Lehwald, H. Ibach, K.P. Bohnen, KM. Ho: Phys. Rev. B 40, 8068 (1989)

    Google Scholar 

  213. X.Q. Wang, GJL. Chiarotti, F. Ercolessi, E. Tosatti: Phys. Rev. B 38, 8131 (1988)

    Google Scholar 

  214. G. Dolling: In Inelastic Neutron Scattering, (IAEA, Vienna 1963) Vol. 2, p. 37

    Google Scholar 

  215. G. Nilsson, G. Nelin: Phys. Rev. B 6, 3777 (1972)

    Google Scholar 

  216. KM. Martin: Phys. Rev. 186, 871 (1969)

    CAS  Google Scholar 

  217. W. Cochran: Crit. Rev. Solid State sci. 2, 1 (1971)

    CAS  Google Scholar 

  218. R. Tubino, L. Piseri, G. Zerbi: J. Chem. Phys. 56, 1022 (1972)

    CAS  Google Scholar 

  219. S.K. Sinha: Crit. Rev. Solid State sci. 3, 273 (1973)

    CAS  Google Scholar 

  220. F.A. Johnson, K. Moore: Proc. Roy. Soc. (London) A339, 85 (1974)

    Google Scholar 

  221. D.L. Price, S.K. Sinha, R.P. Gupta: Phys. Rev. B 9, 2573 (1974)

    Google Scholar 

  222. W. Weber: Phys. Rev. B 15, 4789 (1977)

    Google Scholar 

  223. C. Falter, M. Selmke, W. Ludwig, K. Kunc: Phys. Rev. B 32, 6518 (1985)

    Google Scholar 

  224. W. Goldammer, W. Ludwig, W. Zierau, KU. Wanser, R.F. Wallis: Phys. Rev. B 36, 4624 (1987)

    Google Scholar 

  225. C. Falter, H. Rakel, W. Ludwig: Phys. Rev. B 38, 3986 (1988)

    Google Scholar 

  226. C. Falter: Physics Rep. 164, 1 (1988)

    CAS  Google Scholar 

  227. M. Klenner, C. Falter, W. Ludwig: Phys. Stat. Sol. B 151, 503 (1989)

    Google Scholar 

  228. K.C. Pandey: Phys. Rev. Lett. 47, 1913 (1981)

    CAS  Google Scholar 

  229. K.C. Pandey: Phys. Rev. Lett. 49, 223 (1982)

    CAS  Google Scholar 

  230. U. Harten, J.P. Toennies, Ch. Wöll: Phys. Rev. Lett. 57, 2947 (1986)

    CAS  Google Scholar 

  231. H. Ibach: Phys. Rev. Lett. 27, 253 (1971)

    CAS  Google Scholar 

  232. OJL. Alerhand, D.C. Allan, EJ. Mele: Phys. Rev. Lett. 55, 2700 (1985)

    CAS  Google Scholar 

  233. O.L. Alerhand, EJ. Mele: Phys. Rev. Lett. 59, 657 (1987)

    CAS  Google Scholar 

  234. O.L. Alerhand, EJ. Mele: Phys. Rev. B 37, 2536 (1988)

    Google Scholar 

  235. U. del Pennio, M.G. Betti, C. Mariani, S. Nannarone, I. Abbati, L. Braicovich, A. Rizzi: Surf. Sci. 189/190, 689 (1987)

    Google Scholar 

  236. U. del Pennio, M.G. Betti, C. Mariani, S. Nannarone, CM. Bertoni, I. Abbati, A. Rizzi: Phys. Rev. B 39, 10380 (1989)

    Google Scholar 

  237. L. Miglio, L. Santini, P. Ruggerone, G. Benedek: Phys. Rev. Lett. 62, 3070 (1989)

    CAS  Google Scholar 

  238. W. Goldammer, J. Backhaus, W. Ludwig: Physica Scripta 38, 155 (1988)

    CAS  Google Scholar 

  239. JX.T. Waugh, G. Dolling: Phys. Rev. 132, 2410 (1963)

    CAS  Google Scholar 

  240. K. Kunc, H. Bilz: Solid State Commun. 19, 1027 (1976)

    CAS  Google Scholar 

  241. K. Kunc, H. Bilz: In Proc. Conf. Neutron Scattering, ed. by R. M. Moon (US Department of Commerce, CONF-760601-P1, Springfield 1976) Vol.1, p.195

    Google Scholar 

  242. U. Harten, JjP. Toennies: Europhys. Lett. 4, 833 (1987)

    CAS  Google Scholar 

  243. R. Matz, H. Lüth: Phys. Rev. Lett. 46, 500 (1981)

    CAS  Google Scholar 

  244. R. Nicklow, N. Wakabayashi, H.G. Smith: Phys. Rev. B 5, 4951 (1972)

    Google Scholar 

  245. Y. Sato: J. Phys. Soc. Jpn. 24, 489 (1968)

    CAS  Google Scholar 

  246. F. Tuinstra, J.L. Koenig: J. Chem. Phys. 53, 1126 (1970)

    CAS  Google Scholar 

  247. RJ. Nemanich, G. Lucovsky, S.A. Solin: Solid State Commun. 23, 117 (1977)

    CAS  Google Scholar 

  248. E. de Rouffignac, G.P. Alldredge, F.W. de Wette: Phys. Rev. B 23, 4208 (1981)

    Google Scholar 

  249. B 29, 3712 (1984)

    Google Scholar 

  250. C. Oshima, T. Aizawa, R. Souda, Y. Ishizawa, Y. Sumiyoshi: Solid State Commun. 65,1601 (1988)

    CAS  Google Scholar 

  251. G. Benedek, G. Brusdeylins, C. Heimlich, J.P. Toennies, U. Valbusa: Surf. Sci. 178, 545 (1986)

    CAS  Google Scholar 

  252. D.E. Moncton, J.D. Axe, FJ. DiSalvo: Phys. Rev. B 16, 801 (1977)

    CAS  Google Scholar 

  253. J.A. Holy, M.V. Klein, W.L. McMillan, S.F. Meyer: Phys. Rev. Lett. 37, 1145 (1976)

    CAS  Google Scholar 

  254. J.C. Tsang, J.E. Smith, M.W. Shafer: Solid State Commun. 27, 145 (1978)

    CAS  Google Scholar 

  255. N. Wakabayashi, H.G. Smith, K.C. Woo, F.C. Brown: Solid State Commun. 28, 923 (1978)

    CAS  Google Scholar 

  256. D.E. Moncton, FJ. di Salvo, J.D. Axe: In Lattice Dynamics, ed. by M. Balkanski (Flammarion, Paris 1978) p. 561

    Google Scholar 

  257. G. Benedek, L. Miglio, G. Brusdeylins, C. Heimlich, J.G. Skofronick, LP. Toennies: Europhys. Lett. 5, 253 (1988)

    CAS  Google Scholar 

  258. G. Benedek, G. Brusdeylins, C. Heimlich, L. Miglio, J.G. Skofronick, J.P. Toennies, R. Vollmer: Phys. Rev. Lett. 60, 1037 (1988)

    CAS  Google Scholar 

  259. S. Jandl, J.L. Brebner, BM. Powell: Phys. Rev. B 13, 686 (1976)

    Google Scholar 

  260. G. Brusdeylins, R. Rechensteiner, J.G. Skofronick, J.P. Toennies, G. Benedek, L. Miglio: Phys. Rev. B 34, 902 (1986)

    Google Scholar 

  261. G. Benedek: Surf. Sci. 61, 603 (1976)

    CAS  Google Scholar 

  262. G. Brusdeylins, R.B. Doak, J.P. Toennies: Phys. Rev. Lett. 46, 437 (1981)

    CAS  Google Scholar 

  263. W. Ludwig in: Festkörperprobleme (Advances in Solid State Physics) 29, Vieweg, Braunschweig 1989, p. 107

    Google Scholar 

  264. I.S. Braude: Sov. Phys.-Solid State 13, 327 (1971)

    Google Scholar 

  265. J.E. Black, A. Franchini, V. Bortolani, G. Santoro, R.F. Wallis: Phys. Rev. B 36,2996 (1987)

    Google Scholar 

  266. FJ. Himpsel, PM. Marcus, R. Tromp, IP. Batra, M.R. Cook, F. Jona, H. Liu: Phys. Rev. B 30, 2257 (1984)

    Google Scholar 

  267. U. Harten, J. P. Toennies, Ch. Wöll, L. Miglio, P. Ruggerone, L. Colombo, G. Benedek: Phys. Rev. B 38, 3305 (1988)

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Kress, W. (1991). Vibrational Properties of Clean Surfaces: Survey of Recent Theoretical and Experimental Results. In: Kress, W., de Wette, F.W. (eds) Surface Phonons. Springer Series in Surface Sciences, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75785-3_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-75785-3_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-75787-7

  • Online ISBN: 978-3-642-75785-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics