Classical theory of atom-surface scattering: The rainbow effect

Surface Science Reports

Volumn 67, Issue 7-8, 2012, Pages 161-200

  Miret Artés, Salvador ^a   Pollak, Eli ^b  

^a INSTITUTO DE FÍSICA FUNDAMENTAL   (Spain)

^b WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

Adsorption; Energy loss rainbows; Friction induced rainbows; Sticking; Stochastic scattering; Super rainbows; Surface rainbow scattering

Indexed keywords

ADSORPTION; ANGULAR DISTRIBUTION; ATOMS; ELECTRON SCATTERING; ENERGY DISSIPATION; FRICTION; PERTURBATION TECHNIQUES; PHONONS; PLASMA INTERACTIONS; QUANTUM THEORY; STOCHASTIC SYSTEMS; TRIBOLOGY;

ENERGY LOSS RAINBOWS; FRICTION INDUCED RAINBOWS; STICKING; STOCHASTIC SCATTERINGS; SUPER-RAINBOWS; SURFACE RAINBOW SCATTERINGS;

SURFACE SCATTERING;

EID: 84860667402     PISSN: 01675729     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.surfrep.2012.03.001     Document Type: Review

References (166)

1. W.J. Humphreys Physics of the Air 1929 McGraw-Hill Book Co.
2. M. Dresden, and H.A. Kramers Between Tradition and Revolution 1987 Springer-Verlag NY
3. R.W. Wood Physical Optics Third ed. 1988 the Optical Society of America Washington, DC, USA First edition was published in 1905
4. H.C. van der Hulst Light Scattering by Small Particles 1957 Wiley New York
5. M. Born, and E. Wolf Principles of Optics 1959 Pergamon New York
6. R. Greenler Rainbows, Halos and Glories 1980 Cambridge University Press
7. W.R. Corliss, Rare Halos, Mirages, Anomalous Rainbows, The Sourcebook Project, 1984, ISBN-0-915554-12-7.
8. C.B. Boyer The Rainbow: From Myth to Mathematics 1987 Princeton University Press Princeton
9. R. Descarte, Discours de la Méthode Pour Bien Conduire Sa Raison et Chercher la Vérité dans les Sciences, second appendix La Dioptrique, 1637.
10. G.B. Airy Trans. Philos. Cambridge Soc. 6 1838 379
11. M.V. Berry J. Phys. A 8 1975 566
12. M.V. Berry Adv. Phys. 25 1976 1
13. M.V. Berry, and C. Upstill Prog. Opt. 18 1980 257
14. T. Poston, and I. Stewart Catastrophe Theory and its Applications 1978 Pitman San Francisco
15. R. Gilmore Catastrophe Theory for Scientists and Engineers 1981 Dover Publications New York
16. H.M. Nussenzveig Sci. Am. 236 4 1977 116
17. K.W. Ford, and J.A. Wheeler Ann. Phys. (NY) 7 1959 259
18. K.W. Ford, and J.A. Wheeler Ann. Phys. (NY) 7 1959 287
19. D. Beck J. Chem. Phys. 37 1962 2884
20. M.S. Child Molecular Collision Theory 1974 Academic Press London
21. M.S. Child Semiclassical Mechanics with Molecular Applications 1991 Oxford Science Publications
22. W. Nörenberg, and H.A. Weidenmüller Lecture Notes in Phys. 51 1976 1
23. K.W. Mcvoy, and M.S. Hussein Prog. Part. Nucl. Phys. 12 1984 103
24. W. Schepper, U. Ross, and D. Becker Z. Phys. A 290 1979 131
25. D. Beck, U. Ross, and W. Schepper Phys. Rev. A 19 1979 2173
26. M. Faubel Adv. At. Mol. Phys. 19 1983 345
27. U. Buck Comments At. Mol. Phys. XVII 1986 143
28. R. Schinke Chem. Phys. 47 1980 287
29. R. Schinke J. Chem. Phys. 72 1980 1120
30. R. Schinke J. Phys. Chem. 76 1982 2352
31. S.K. Gray, S.A. Rice, and D.W. Noid J. Chem. Phys. 84 1986 3745
32. A. Tiyapan, and C. Jaffé J. Chem. Phys. 99 1993 2765
33. R.A. Oman J. Chem. Phys. 48 1968 3919
34. J. Lorenzen, and L.M. Raff J. Chem. Phys. 49 1968 1165
35. J.D. McClure J. Chem. Phys. 51 1969 1687
36. J.D. McClure J. Chem. Phys. 52 1970 2712
37. J.D. McClure J. Chem. Phys. 57 1972 2810, 2823
38. J.N. Smith, D.R. O'Keefe, H. Saltsburg, and R.L. Palmer J. Chem. Phys. 50 1969 4667
39. J.N. Smith, D.R. O'Keefe, and R.L. Palmer J. Chem. Phys. 52 1970 315
40. G. Boato, P. Cantini, U. Garibaldi, A.C. Levi, L. Mattera, R. Spadacini, and G.E. Tommei J. Phys. C 6 1973 L394
41. U. Garibaldi, A.C. Levi, R. Spadacini, and G.E Tommei Surf. Sci. 48 1975 649
42. J.W. Strutt (Baron Rayleigh) The Theory of Sound, Vol. II 1896 Macmillan London
43. E. Hulpke Surf. Sci. 152 1975 615
44. U. Garibaldi, A.C. Levi, R. Spadacini, and G.E Tommei Surf. Sci. 55 1976 40
45. A.W. Kleyn, A.C. Luntz, and D.J. Auerbach Phys. Rev. Lett. 47 1981 1169
46. R.B. Gerber Chem. Rev. 87 1987 29
47. G. Drolshagen, H.R. Mayne, and J.P. Toennies J. Chem. Phys. 75 1981 196
48. R.M. Logan, and R.E. Stickney J. Chem. Phys. 44 1966 195
49. W.L. Nichols, and J.H. Weare J. Chem. Phys 82 1975 3754
50. W.A. Steele Surf. Sci. 38 1973 1
51. E.F. Green, and E.A. Mason Surf. Sci. 75 1978 549
52. J.R. Klein, and M.W. Cole Surf. Sci. 79 1979 269
53. G. Armand, and J.R. Manson Surf. Sci. 119 1982 L299
54. A.W. Kleyn, and T.C.M. Horn Phys. Rep. 199 1991 191
55. S. Miret-Artés, J. Margalef-Roig, R. Guantes, F. Borondo, and C. Jaffé Phys. Rev. B 54 1996 10397
56. R. Guantes, F. Borondo, J. Margalef-Roig, S. Miret-Artés, and J.R. Manson Surf. Sci. 375 1997 L379
57. R. Guantes, A.S. Sanz, J. Margalef-Roig, and S. Miret-Artés Surf. Sci. Rep. 53 2004 199
58. J. Doll Chem. Phys. 3 1974 257
59. J. Doll J. Chem. Phys. 61 1974 954
60. J. Doll, and S.A. Adelman J. Chem. Phys. 61 1974 4242
61. R.I. Masel, R.P. Merrill, and W.H. Miller Surf. Sci. 46 1974 681
62. W.H. Miller Adv. Chem. Phys. 25 1974 69 30 (1975) 77
63. R.I. Massel, R.P. Merril, and W.H. Miller J. Chem. Phys. 64 1976 45
64. R. Manson, and V. Celli Surf. Sci. 24 1971 495
65. L.M. Hubbard, and W.H. Miller J. Chem. Phys. 80 1984 5827
66. S. Miret-Artés Surf. Sci. 339 1995 205
67. S. Miret-Artés Surf. Sci. 366 1996 L681
68. A.S. Sanz, and S. Miret-Artés Phys. Rep. 451 2007 37
69. J.D. Doll, L.E. Myers, and S.A. Adelman J. Chem. Phys. 63 1975 4908
70. S.A. Adelman, and J.D. Doll J. Chem. Phys. 64 1976 2375
71. J.C. Tully J. Chem. Phys. 73 1980 1975
72. M. Shugard, J.C. Tully, and A. Nitzan J. Chem. Phys. 66 1977 2534
73. A.D. Tenner, K.T. Gillen, T.C.M. Horn, J. Los, and A.W. Kleyn Phys. Rev. Lett. 52 1984 2183
74. A.D. Tenner, R.P. Saxon, K.T. Gillen, D.E. Harrison Jr., T.C.M. Horn, and A.W. Kleyn Surf. Sci. 172 1986 121
75. T. Yan, N. Isa, K.D. Gibson, S.J. Sibener, and W.L. Hase J. Phys. Chem. A 107 2004 10600
76. N. Isa, K.D. Gibson, T. Yan, W.L. Hase, and S.J. Sibener J. Chem. Phys. 120 2004 2417
77. T. Kondo, H.S. Kato, T. Yamada, S. Yamamoto, and M. Kawai Eur. Phys. J. D 38 2006 129
78. R. Brako Surf. Sci. 123 1982 439
79. R. Brako, and D.M. Newns Phys. Rev. Lett. 48 1982 1859
80. J.C. Tully J. Chem. Phys. 92 1990 680
81. T. Yan, W.L. Hase, and J.C. Tully J. Chem. Phys. 120 2004 1031
82. E. Pollak, S. Sengupta, and S. Miret-Artés J. Chem. Phys. 129 2008 054107
83. E. Pollak, and S. Miret-Artés J. Chem. Phys. 130 2009 194710 erratum, J. Chem. Phys. 132 (2010) 049901
84. E. Pollak, J.M. Moix, and S. Miret-Artés Phys. Rev. B 80 2009 165420 erratum, Phys, Rev. B 81 (2010) 039902
85. E. Pollak, and J. Tatchen Phys. Rev. B 80 2009 115404 erratum, Phys. Rev. B 81 (2010) 049903
86. J. Moix, E. Pollak, and S. Miret-Artés Phys. Rev. Lett. 104 2010 116103
87. E. Pollak, and S. Miret-Artés Chem. Phys. 375 2010 337
88. J.L. Beeby J. Phys. C 5 1972 3438
89. U. Weiss Quantum Dissipative Systems 1999 World Scientific
90. W. Horsthemke, and R. Lefever Noise-Induced Transitions 1984 Springer-Verlag
91. Y. Georgievskii, M.A. Kozhushner, and E. Pollak J. Chem. Phys. 102 1995 6908
92. J.I. Juristi, M. Alducin, R. Diez-Muiño, H.F. Busnengo, and A. Salin Phys. Rev. Lett. 100 2008 116102
93. A.C. Luntz, I. Makkonen, M. Persson, and S. Holloway Phys. Rev. Lett. 102 2009 109601
94. E. Pollak, H. Grabert, and P. Hänggi J. Chem. Phys. 91 1989 4073
95. A. Raukema, R.J. Dirksen, and A.W. Kleyn J. Chem. Phys. 103 1995 6217
96. R.J.W.E. Lahaye, A.W. Kleyn, S. Stolte, and S. Holloway Surf. Sci. 338 1995 169
97. Y. Ekinci, and J.P. Toennies Surf. Sci. 563 2004 127
98. A. Amirav, M.J. Cardillo, P.L. Trevor, C. Lim, and J.C. Tully J. Chem. Phys. 87 1987 1796
99. P.S. Weiss, A. Amirav, P.L. Trevor, and M.J. Cardillo J. Vac. Sci. Technol. A 6 1988 889
100. G. Vidali, G. Ihm, H.-Y. Kim, and M.W. Cole Surf. Sci. Rep. 12 1991 135
101. E.K. Schweizer, C.T. Rettner, and S. Holloway Surf. Sci. 249 1991 335
102. E. Pollak, and J.R. Manson J. Phys.:Condens. Matter 24 2012 104001
103. E. Pollak J. Phys. Chem. A 115 2011 7189
104. J.E. Lennard-Jones, and A.F. Devonshire Proc. R. Soc. London, Ser. A 158 1937 242
105. C.B. Mullins, C.T. Rettner, D.J. Auerbach, and W.H. Weinberg Chem. Phys. Lett. 163 1989 111
106. C.T. Rettner, D.S. Bethune, and D.J. Auerbach Chem. Phys. 91 1989 1942
107. C.T. Rettner, E.K. Schweizer, and C.B. Mullins J. Chem. Phys. 90 1989 3800
108. G. Fan, and J.R. Manson Phys. Rev. B 79 2009 045424
109. S. Miret-Artés, and J.R. Manson Phys. Rev. B 63 2001 121404
110. J.S. Bader, and B.J. Berne J. Chem. Phys. 102 1995 7953
111. V.I. Mel'nikov, and S.V. Meshkov J. Chem. Phys. 85 1986 1018
112. J.R. Manson Phys. Rev. B 58 1998 2253
113. S. Miret-Artés, J.P. Toennies, and G. Witte Phys. Rev. B 54 1996 5881
114. A.C. Levi, R. Spadacini, and G.E. Tommei Surfc. Sci. 121 1982 504
115. P. Beckmann, and A. Spizzichino The Scattering of Electromagnetic Waves from Rough Surfaces 1963 Pergamon Oxford
116. L. van Hove Phys. Rev. 95 1954 249
117. J.E. Adams, and W.H. Miller Surf. Sci. 85 1979 77
118. L.M. Hubbard, and W.H. Miller J. Chem. Phys. 78 1983 1801
119. R.A. Marcus J. Chem. Phys. 54 1971 3965 57 (1972) 4903; 59 (1973) 5135
120. R.G. Newton Scattering Theory of Waves and Particles 1982 Springer Verlag New York
121. J.N.L. Connor, and R.A. Marcus J. Chem. Phys. 55 1971 5636
122. W.H. Miller J. Chem. Phys. 54 1971 5386
123. W.H. Miller, and F.T. Smith Phys. Rev. A 17 1978 17
124. K. Imne, E. Ozizmir, M. Rosenbaum, and P.F. Zweifel J. Math. Phys. 8 1967 10907
125. E.J. Heller J. Chem. Phys. 65 1976 1289
126. E.J. Heller, and R.C. Brown J. Chem. Phys. 75 1967 1048
127. H.W. Lee, and M.O. Scully J. Chem. Phys. 73 1980 2238
128. V.S. Filinov, Yu.V. Medvedev, and V.L. Kamskyi Molec. Phys. 85 1995 711
129. E. Pollak, and J.-L. Liao J. Chem. Phys. 108 1998 2733
130. J. Shao, J.-L. Liao, and E. Pollak J. Chem. Phys. 108 1998 9711
131. H.B. Wang, X. Sun, and W.H. Miller J. Chem. Phys. 108 1998 9726
132. J.M. Moix, E. Pollak, and W. Allison J. Chem. Phys. 134 2011 024319
133. K.H. Rieder, and W. Stocker Phys. Rev. B 31 1985 3392
134. A.T. Yinnon, and R. Kosloff Chem. Phys. Lett. 102 1983 216
135. A.T. Yinnon, R. Kosloff, and R.B. Gerber J. Chem. Phys. 88 1988 7209
136. R.C. Mowrey, and D.J. Kouri J. Chem. Phys. 86 1987 6140
137. M.I. Hernández, J. Campos-Martínez, S. Miret-Artés, and R.D. Coalson Phys. Rev. B 49 1994 8300
138. H.D. Meyer, and C.A. Worth Theor. Chem. Acc. 109 2003 251
139. H. Wang, and M. Thoss J. Chem. Phys. 119 2003 1289
140. A. Glebov, J.R. Manson, S. Miret-Artés, J.G. Skofronic, and J.P. Toennies Phys. Rev. B 57 1998 R9455
141. S. Miret-Artés, and J.R. Manson Phys. Rev. B 60 1999 6080
142. R.G. Rowe, L. Rathbun, and G. Ehrlich Phys. Rev. Lett. 35 1975 1104
143. A. Gross Phys. Rev. Lett. 103 2009 246101
144. R. Schinke J. Chem. Phys. 76 1982 2352
145. Y. Khodorkovsky, I.S. Averbukh, and E. Pollak J. Phys.: Condens. Matter 22 2010 304004
146. M.E. Saecker, S.T. Govoni, D.V. KowalsuI, M.E. King, and G.M. Nathanson Science 252 1991 1421
147. G.M. Nathanson Ann. Rev. Phys. Chem. 55 2004 231
148. T. Krebs, and G.M. Nathanson J. Phys. Chem. A 115 2011 482
149. M.A. Freedman, A.W. Rosenbaum, and S.J. Sibener Phys. Rev. B 75 2007 113410
150. K.D. Gibson, S.J. Sibener, H.P. Upadhyaya, A.L. Brunsvold, J. Zhang, T.K. Minton, and D. Troya J. Phys. Chem. A 128 2008 224708
151. M.A. Freedman, J.S. Becker, A.W. Rosenbaum, and S.J. Sibener J. Chem. Phys. 129 2008 44906
152. K.D. Gibson, and S.J. Sibener J. Phys. Chem. C 113 2009 13325
153. J.S. Becker, R.D. Brown, E. Johansson, N.S. Lewis, and S.J. Sibener J. Chem. Phys. 133 2010 104705
154. K.D. Gibson, D.R. Killelea, H. Yuan, J.S. Becker, and S.J. Sibener J. Chem. Phys. 134 2011 034703
155. D. Chase, M. Manning, J.A. Morgan, G.M. Nathanson, and R.B. Gerber J. Chem. Phys. 113 2000 9279
156. Z. Medina, and B. Jackson J. Chem. Phys. 128 2008 114704
157. A. Schüller, S. Wethekman, and H. Winter Phys. Rev. Lett. 98 2007 016103
158. P. Rousseau, H. Khemliche, A.G. Borisov, and P. Roncin Phys. Rev. Lett. 98 2007 016104
159. A. Schüller, and H. Winter Phys. Rev. Lett. 100 2008 097602
160. B.R. Williams J. Chem. Phys. 55 1971 1315
161. K.H. Rieder, and W. Stocker Phys. Rev. Lett. 52 1984 352
162. E.K. Schweizer, and C.T. Rettner Phys. Rev. Lett. 62 1989 3085
163. T. Andersson, F. Althoff, P. Linde, S. Andersson, and K. Burke Phys. Rev. B 65 2002 045409
164. T. Andersson, F. Althoff, P. Linde, M. Hassel, M. Persson, and S. Andersson J. Chem. Phys. 113 2000 9262
165. J.M. Moix, and E. Pollak J. Chem. Phys. 134 2011 011103
166. K.N. Egodapitiya, S. Sharma, A. Hasan, A.C. Laforge, D.H. Madison, R. Moshammer, and M. Schulz Phys. Rev. Lett. 106 2011 153202