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Quantum Mechanical Treatment of Electronic Transitions in Atom-Molecule Collisions

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Molecular Collision Dynamics

Part of the book series: Topics in Current Physics ((TCPHY,volume 33))

Abstract

The treatment of electronic transitions taking place during atomic collisions has been considered important since the early days of quantum mechanics. BORN and OPPENHEIMER [5.1] were the first to study this problem and their theory still serves as the starting point for any other treatment or approximation. We shall refer to this later, though not extensively.

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References

  1. M. Born, J.R. Oppenheimer: Ann. Phys. (Leipzig) 84, 457 (1927)

    ADS  Google Scholar 

  2. C. Zener: Proc. Roy. Soc. A137, 696 (1932)

    ADS  Google Scholar 

  3. L.D. Landau: Phys. Z. Soviet Union 2, 46 (1932)

    MATH  Google Scholar 

  4. E.C.G. Stuckelberg: Helv. Phys. Acta 5, 369 (1932)

    Google Scholar 

  5. W. Lichten: Phys. Rev. 131, 229 (1963)

    ADS  Google Scholar 

  6. E.E. Nikitin: In Chemische Elementar Prozesse, ed. by H. Hartman (Springer, Berlin, Heidelberg, New York 1968 )

    Google Scholar 

  7. N. Rosen, C. Zener: Phys. Rev. 40, 502 (1932)

    MATH  ADS  Google Scholar 

  8. F.T. Smith: Phys. Rev. 179, 111 (1969)

    ADS  Google Scholar 

  9. M.S. Child: Molec. Phys. 20, 171 (1970)

    ADS  Google Scholar 

  10. Yu.N. Demkov: Sov. Phys. JETP 18, 138 (1964)

    Google Scholar 

  11. R. de L. Kronig: Band Spectra and Molecular Structure( Cambridge University Press, New York 1930 ) pp. 6–16

    Google Scholar 

  12. D.R. Bates: Proc. Roy. Soc. A240 437 (1957);

    ADS  Google Scholar 

  13. D.R. Bates: Proc. Roy. Soc. A257, 22 (1960)

    ADS  MathSciNet  Google Scholar 

  14. W.R. Thorson: J. Chem. Phys. 34 1744 (1961);

    ADS  MathSciNet  Google Scholar 

  15. D.J. Kouri, C.F. Curtiss: J. Chem. Phys. 44, 2120 (1966)

    ADS  Google Scholar 

  16. R.T. Pack, J.O. Hirschfelder: J. Chem. Phys. 49, 4009 (1968);

    ADS  MathSciNet  Google Scholar 

  17. C. Gaussorgues, C. Le Sech, F. Mosnow-Seeuws, R. McCarroll, A. Riera: J. Phys. B, At. Mol. Phys. 8, 239 (1975)

    ADS  Google Scholar 

  18. C. Gaussorgues, C. Le Sech, F. Mosnow-Seeuws, R. McCarroll, A. Riera: J. Phys. B. At. Mol. Phys. 8, 253 (1975)

    ADS  Google Scholar 

  19. G. Gioumousis, D.P. Stevenson: J. Chem. Phys. 29, 294 (1958)

    ADS  Google Scholar 

  20. F.S. Klein, L. Friedman: J. Chem. Phys. 41, 1789 (1964)

    ADS  Google Scholar 

  21. A. Henglein, K. Lackmann, B. Knoll: J. Chem. Phys. 43, 1048 (1965)

    ADS  Google Scholar 

  22. E.A. Gislason: J. Chem. Phys. 57, 3396 (1972)

    ADS  Google Scholar 

  23. E. Bauer, E.R. Fischer, F.R. Gilmore: J. Chem. Phys. 51, 4173 (1969)

    ADS  Google Scholar 

  24. E.E. Nikitin, S.Ya. Umanski: Dis. Farad. Soc. Chem. 53, 7 (1972)

    Google Scholar 

  25. M.S. Child: Farad. Dis. Chem. Soc. 55, 30 (1973)

    Google Scholar 

  26. M.S. Child: Molecular Collision Theory( Academic Press, London 1974 ) pp. 161–179

    Google Scholar 

  27. A. Bjerre, E.E. Nikitin: Chem. Phys. Lett. 1, 179 (1967)

    ADS  Google Scholar 

  28. J.C. Tully, R.K. Preston: J. Chem. Phys. 55, 562 (1971)

    ADS  Google Scholar 

  29. J.R. Krenos, R.K. Preston, R. Wolfgang, J.C. Tully: J. Chem. Phys. 60, 1634 (1974)

    ADS  Google Scholar 

  30. G. Ocs, E. Teloy: J. Chem. Phys. 61, 4930 (1974)

    ADS  Google Scholar 

  31. W.H. Miller, T.F. George: J. Chem. Phys. 56, 5637 (1972)

    ADS  Google Scholar 

  32. Y.-W. Lin, T.F. George, M. Morokuma: J. Chem. Phys. 60, 4311 (1974)

    ADS  Google Scholar 

  33. J.R. Laing, T.F. George, I.H. Zimmermann, Y.-W. Lin: J. Chem. Phys. 63, 842 (1975)

    ADS  Google Scholar 

  34. D.A. Micha: Adv. Chem. Phys. 30, 7 (1975)

    Google Scholar 

  35. J.G. Tully: In Dynamics of Molecular Collisions, Part B, ed. by W.H. Miller (Plenum Press, New York 1976) Chap.5

    Google Scholar 

  36. M.S. Child: In Atom-Molecule Collision Theory, ed. by R.B. Bernstein (Plenum Press, New York 1979) Chap.13

    Google Scholar 

  37. T.F. O’Malley: Adv. At. Mol. Phys. 7, 223 (1971)

    Google Scholar 

  38. R.G. Gordon: J. Chem. Phys. 51, 14 (1969)

    ADS  MathSciNet  Google Scholar 

  39. W.N. Sams, D.J. Kouri: J. Chem. Phys. 51, 4815 (1969)

    ADS  MathSciNet  Google Scholar 

  40. M. Baer: Chem. Phys. Lett. 35, 112 (1975)

    ADS  Google Scholar 

  41. M. Baer: Chem. Phys. 15, 49 (1976)

    ADS  MathSciNet  Google Scholar 

  42. Z.H. Top, M. Baer: J. Chem. Phys. 66, 1363 (1977)

    ADS  Google Scholar 

  43. Z.H. Top, M. Baer: Chem. Phys. 25, 1 (1977)

    ADS  Google Scholar 

  44. M. Baer, J.A. Beswick: Phys. Rev. A19, 1559 (1979)

    ADS  Google Scholar 

  45. M. Baer, G. Drolshagen, J.P. Toennies: J. Chem. Phys. 73, 1690 (1980)

    ADS  Google Scholar 

  46. F.O. Ellison: J. Am. Chem. Soc. 85, 3540, 3544 (1963)

    Google Scholar 

  47. F.O. Ellison, J.C. Patel: J. Am. Chem. Soc. 86, 2155 (1964)

    Google Scholar 

  48. R.K. Preston, J.C. Tully: J. Chem. Phys. 54, 4297 (1971)

    ADS  Google Scholar 

  49. P.J. Kuntz, A.C. Roach: J. Chem. Soc. Farad. Trans. 1168, 259 (1972)

    Google Scholar 

  50. J.C. Tully: J. Chem. Phys. 58, 1396 (1973)

    ADS  Google Scholar 

  51. Y. Zeiri, M. Shapiro: J. Chem. Phys. 70, 5264 (1979)

    ADS  Google Scholar 

  52. I. Last, M. Baer: J. Chem. Phys. 75, 288 (1980)

    ADS  Google Scholar 

  53. I. Last, M. Baer: Chem. Phys. Lett. 73, 514 (1980)

    ADS  Google Scholar 

  54. I. Last: Chem. Phys. 55, 237 (1981)

    ADS  Google Scholar 

  55. D.J. Vezzetti, S.I. Rubinow: Ann. Phys. 35, 373 (1955)

    ADS  MathSciNet  Google Scholar 

  56. W.H. Miller: J. Chem. Phys. 43, 2373 (1968)

    ADS  Google Scholar 

  57. P.L. DeVries, T.F. George: J. Chem. Phys. 67, 1293 (1968)

    ADS  Google Scholar 

  58. D.L. Miller, R.E. Wyatt: J. Chem. Phys. 67, 1302 (1977)

    ADS  Google Scholar 

  59. E.E. Nikitin: Theory of Elementary Atomic and Molecular Processes in Gases( Clarendon Press, Oxford 1974 ) p. 148

    Google Scholar 

  60. F. Rebentrost, W.A. Lester: J. Chem. Phys. 67, 1977 (1977)

    Google Scholar 

  61. Y. Haas, R.D. Levine, G. Stein: Chem. Phys. Lett. 15, 7 (1972)

    ADS  Google Scholar 

  62. G.L. Hofacker, R.D. Levine: Chem. Phys. Lett. 9, 617 (1971)

    ADS  Google Scholar 

  63. H. Nakamura: Mol. Phys. 26, 673 (1973)

    ADS  Google Scholar 

  64. Z.H. Top, M. Baer: Chem. Phys. 10, 95 (1975)

    ADS  Google Scholar 

  65. Z.H. Top, M. Baer: Chem. Phys. 16, 447 (1976)

    ADS  Google Scholar 

  66. M. Baer, J.A. Beswick: Chem. Phys. Lett. 51, 360 (1977)

    ADS  Google Scholar 

  67. P.J. Kuntz, A.C. Roach: J. Chem. Soc. Farad. Trans. 1168, 259 (1972)

    Google Scholar 

  68. R.M. Billota, F.N. Preuminger, J.M. Farrar: Chem. Phys. Lett. 74, 95 (1980)

    ADS  Google Scholar 

  69. R.M. Billota, F.N. Preuminger, J.M. Farrar: J. Chem. Phys. 73, 1637 (1980)

    ADS  Google Scholar 

  70. J.M. Bowman, S.C. Leasure, A. Kuppermann: Chem. Phys. Lett. 43, 374 (1976)

    ADS  Google Scholar 

  71. C.D. Jonah, R.N. Zare, Ch. Ottinger: J. Chem. Phys. 56, 263 (1972)

    ADS  Google Scholar 

  72. D.J. Wren, M. Menziger: J. Chem. Phys. 63, 4557 (1975)

    ADS  Google Scholar 

  73. I.H. Zimmerman, M. Baer, T.F. George: J. Chem. Phys. 71, 4132 (1979)

    ADS  Google Scholar 

  74. I.H. Zimmerman, T.F. George: Chem. Phys. 7, 323 (1975)

    Google Scholar 

  75. D.F. Feng, E.R. Grant, J.W. Root: J. Chem. Phys. 64, 3450 (1976)

    ADS  Google Scholar 

  76. N.C. Biais, D.G. Truhlar: J. Chem. Phys. 69, 846 (1978)

    ADS  Google Scholar 

  77. A. Komornicki, K. Morokuma, T.F. George: J. Chem. Phys. 67, 5012 (1977)

    ADS  Google Scholar 

  78. R.E. Wyatt, R.B. Walker: J. Chem. Phys. 70, 1501 (1979)

    ADS  Google Scholar 

  79. P.L. DeVries, T.F. George: J. Chem. Phys. 66, 2421 (1977)

    ADS  Google Scholar 

  80. F. Rebentrost, W.A. Lester: J. Chem. Phys. 63, 3737 (1975)

    ADS  Google Scholar 

  81. F. Rebentrost, W.A. Lester: J. Chem. Phys. 64, 3879 (1976)

    ADS  Google Scholar 

  82. S.I. Chu, A. Dalgarno: J. Chem. Phys. 62, 4009 (1975)

    ADS  Google Scholar 

  83. B. Amaee, C. Botcher: J. Phys. B11, 1249 (1978)

    ADS  Google Scholar 

  84. P. McGuire, J.C. Bellum: J. Chem. Phys. 71, 1975 (1979)

    ADS  Google Scholar 

  85. P. Botschwina, W. Mayer: Unpublished

    Google Scholar 

  86. I.V. Hertel, H. Hofmann, K.A. Rost: Chem. Phys. Lett. 46, 163 (1977)

    ADS  Google Scholar 

  87. H. Pelzer, E.P. Wigner: Z. Phys. Chem. 615, 445 (1932)

    Google Scholar 

  88. H. Eyring, M. Polanyi: Z. Phys. Chem. B12, 279 (1931)

    Google Scholar 

  89. C. Eckart: Phys. Rev. 35, 1303 (1930)

    ADS  Google Scholar 

  90. E.P. Wigner: Z. Phys. Chem. B19, 203 (1933)

    Google Scholar 

  91. R.P. Bell: Proc. Roy. Soc. A139, 466 (1933)

    ADS  Google Scholar 

  92. M.S. Child: Mol. Phys. 16, 313 (1969)

    ADS  Google Scholar 

  93. M.S. Child: Mol. Phys. 28, 495 (1974)

    ADS  Google Scholar 

  94. E.E. Nikitin: Adv. Quantum Chem. 5, 135 (1970)

    ADS  Google Scholar 

  95. D.S.F. Crothers: J. Phys. B6, 1418 (1973)

    ADS  Google Scholar 

  96. M. Baer, M.S. Child: Mol. Phys. 36, 1449 (1978)

    ADS  Google Scholar 

  97. M.S. Child: Molecular Collision Theory( Academic Press, London 1974 ) p. 122

    Google Scholar 

  98. S.C. Miller, R.H. Good: Phys. Rev. 91, 174 (1954)

    ADS  MathSciNet  Google Scholar 

  99. M.S. Child: Mol. Phys. 29, 1421 (1975)

    ADS  Google Scholar 

  100. R.D. Levine, G.G. Balint-Kurti: Chem. Phys. Lett. 6, 101 (1970)

    ADS  Google Scholar 

  101. R.D. Levine: Mol. Phys. 22, 497 (1971)

    ADS  Google Scholar 

  102. J.R. Laing, J.M. Yuan, I.H. Zimmerman, P.L. DeVries, T.F. George: J. Chem. Phys. 66, 2801 (1977)

    ADS  Google Scholar 

  103. H.J. Korsch, H. Kruger: Mol. Phys. 39, 51 (1980)

    ADS  Google Scholar 

  104. M.S. Child, M. Baer: J. Chem. Phys. 74, 2832 (1981)

    ADS  Google Scholar 

  105. I.H. Zimmerman, J.M. Yuan, T.F. George: J. Chem. Phys. 66, 2638 (1977)

    ADS  Google Scholar 

  106. N.M. Kroll, K.M. Watson: Phys. Rev. A8, 804 (1973);

    ADS  Google Scholar 

  107. A.M.F. Lau: Phys. Rev. A13, 139 (1976);

    ADS  Google Scholar 

  108. J.I. Gersten, M.H. Mittleman: Phys. Rev. Al2, 1840 (1975)

    ADS  Google Scholar 

  109. M. Goppert Mayer: Ann. Phys. Leipzig 9, 273 (1931)

    ADS  Google Scholar 

  110. P.I. Richards: Phys. Rev. 73, 254 (1949)

    ADS  Google Scholar 

  111. E.A. Power, S. Zienau: Phil. Trans. Roy. Soc. 251A, 427 (1959)

    MathSciNet  Google Scholar 

  112. T.F. George, I.H. Zimmerman, P.L. DeVries, J.M. Yuan, Kai-Shae Lam, J.C. Bellum, H.W. Lett, M.S. Slatsky, J.T. Lin: In Chemical and Biochemical Applications of Lasers, Vol.4, ed. by C.B. Moore (Academic Press, New York 1979), in the press

    Google Scholar 

  113. J.C. Light, A. Altenberger-Siczek: J. Chem. Phys. 70, 4108 (1979)

    ADS  Google Scholar 

  114. A.E. Orel, W.H. Miller: Chem. Phys. Lett 57, 362 (1978)

    ADS  Google Scholar 

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© 1983 Springer-Verlag Berlin Heidelberg

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Baer, M. (1983). Quantum Mechanical Treatment of Electronic Transitions in Atom-Molecule Collisions. In: Bowman, J.M. (eds) Molecular Collision Dynamics. Topics in Current Physics, vol 33. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81943-8_5

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  • DOI: https://doi.org/10.1007/978-3-642-81943-8_5

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