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Vibrational Excitation of Molecules By Slow Electrons

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Electron-Molecule Collisions

Part of the book series: Physics of Atoms and Molecules ((PAMO))

Abstract

This chapter deals with the excitation of vibration in a molecule by the impact of an electron with an energy of a few electron volts, rarely as high as 30 eV. The field has been reviewed so many times in the last 10 years(1-11) that another paper-by-paper review hardly seems appropriate. What does seem appropriate is an elementary exposition of the physical concepts, particularly resonances and virtual states, which lie behind much of the discussion. These concepts are understood very well by the very few people who actually use them in calculations, but unfortunately different people speak and write about them in ways which at first sight seem to be describing different physical objects. Lengthy discussion usually leads to the conclusion that everyone is talking about the same physics, but it is at present difficult for the newcomer to the field to see this because there is a lack of elementary introductions. This chapter, then, is an attempt at such an elementary introduction. The reader who wants to know more about current theoretical developments will find it helpful to go to the published reviews, starting with the most recent, by Lane(1) and Burke.(2) The reader who wants to know how the experiments are done will find a good starting point in the papers(11) on the state of the experimental art at the first and second Schulz Symposia, by Linder (in 1977) and Read (in 1979).

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References and Notes

  1. N.F. Lane, The theory of electron-molecule collisions, Rev. Mod. Phys. 52, 29 (1980).

    Article  CAS  Google Scholar 

  2. P.G. Burke, Theory of low energy electron-molecule collisions, Adv. At. Mol. Phys. 15, 471 (1979).

    Article  CAS  Google Scholar 

  3. D.E. Golden, Resonances in electron atom and molecule scattering, Adv. At. Mol. Phys. 14, 1 (1978).

    Article  CAS  Google Scholar 

  4. B.L. Moiseiwitsch, Recent progress in atomic collision theory, Rep. Prog. Phys. 40, 843 (1977).

    Article  CAS  Google Scholar 

  5. G.J. Schulz, in Principles of Laser Plasmas (G. Bekefi, ed.), John Wiley and Sons, New York (1976).

    Google Scholar 

  6. Sir Harrie Massey, Negative Ions, 3rd ed., Cambridge University Press, Cambridge (1976).

    Google Scholar 

  7. K. Takayanagi, The theory of low energy electron-molecule scattering, in Invited Lectures, Review Papers, and Progress Reports, IX International Conf. on the Physics of Electronic and Atomic Collisions (ICPEAC), Seattle, 1975 (J.S. Risley and R. Geballe, eds.), p. 219.

    Google Scholar 

  8. F.H. Read, in Atoms, Molecules, and Lasers, Trieste, Italy, 17 January-10 April, 1973; IAEA, Vienna (1974), p. 567.

    Google Scholar 

  9. G.J. Schulz, Resonances in electron impact on diatomic molecules, Rev. Mod. Phys. 45, 423(1973).

    Article  CAS  Google Scholar 

  10. Reviews before 1973 (a more extensive list of references is given in Ref. 1.): D.E. Golden, N.F. Lane, A. Temkin, and E. Gerjuoy, Low energy electron-molecule scattering experiments and the theory of rotational excitation, Rev. Mod. Phys. 43, 642 (1971); H.S. Taylor, Models, interpretations, and calculations concerning resonant electron scattering processes in atoms and molecules, Adv. Chem. Phys. 18, 91 (1970); H.S.W. Massey, E.H.S. Burhop, and H.B. Gilbody, in Electronic and Ionic Impact Phenomena, Vol. II, Oxford University Press, London, 1969 (the material in this volume is brought up to date in Vol. V); J.C.Y. Chen, Theory of transient negative ions of simple molecules, Adv. Radiat. Chem. 1, 245 (1969); J.N. Bardsley and F. Mandl, Resonant scattering of electrons by molecules, Rep. Prog. Phys. 31, 471 (1968).

    Google Scholar 

  11. First Schulz Symposium (Yale, 1977), see: Electron-Molecule Scattering (S. Brown, ed.), John Wiley and Sons, New York (1979). Second Schulz Symposium (Yale, 1979), see: F.H. Read, Electron-atom scattering — experiments, Phys. Scr. 27, 103 (1983). The other three papers from the same symposium on electron-atom scattering are in Comments. At. Mol. Phys. 14, 45–101 (1983); (W.R. Bennett, “Gas Lasers”; L. Spruch, “Theory”; and W.D. Watson, “Astrophysics”).

    Google Scholar 

  12. Y. Itikawa, Electron scattering by polar molecules, Phys. Rep. 46, 117 (1978); W.R. Garrett, Low-energy electron scattering by polar molecules, Mol. Phys. 24, 465 (1972); See also Ref. 35.

    Article  CAS  Google Scholar 

  13. H.A. Bethe, On the theory of the passage of fast corpuscular rays through matter, Ann. Phys. (Leipzig) 5, 325 (1930); quoted by N.F. Mott and H.S.W. Massey, The Theory of Atomic Collisions, 3rd ed., Oxford, University Press, London (1965), p. 477.

    Google Scholar 

  14. The vibrational amplitude and energy in a molecule is estimated by, for example, L.I. Schiff, Quantum Mechanics, 3rd ed., McGraw-Hill, New York (1968), Sec. 49, p. 477.

    Google Scholar 

  15. For the Thomas-Fermi model, see for example L.D. Landau and E.M. Lifshitz, Quantum Mechanics, 3rd ed., Pergamon Press, Oxford (1977), Sec. 70, p. 259 (translated from the Russian by J.B. Sykes and J.S. Bell).

    Google Scholar 

  16. H.S.W. Massey, Excitation of molecular vibration by impact of slow electrons, Trans. Far. Soc. 31,556(1935).

    Article  CAS  Google Scholar 

  17. N.F. Mott and H.S.W. Massey, The Theory of Atomic Collisions, 3rd ed., Oxford, University Press, London (1965), § II.1.

    Google Scholar 

  18. Reference 17, p. 22.

    Google Scholar 

  19. J.R. Taylor, Scattering Theory, John Wiley & Sons, New York (1972); J.M. Blatt and V.F. Weisskopf, Theoretical Nuclear Physics, John Wiley & Sons, New York (1952), p. 68.

    Google Scholar 

  20. Reference 17, p.46.

    Google Scholar 

  21. Some of the key papers in resonance-scattering theory which have influenced Appendix A are: H. Feshbach, Unified theory of nuclear reactions, Ann. Phys. (N. Y.) 5, 357 (1958); ibid. 19, 287 (1962); T.F. O’Malley and S. Geltman, Compound-atom states for two-electron systems, Phys. Rev. 137, A1344 (1965); W.H. Miller, Resonances in the scattering of electrons from atoms, Phys. Rev. 152, 70 (1966); K. Smith, Resonant scattering of electrons by atomic systems, Rep. Prog. Phys. 29, 373 (1966); “Boxed-in-resonances” have recently been discussed by C.H. Maier,L.S. Cederbaum, and W. Domcke, A spherical-box approach to resonances, J. Phys. B 13, L119 (1980).

    Article  CAS  Google Scholar 

  22. H.S. Taylor, in Ref. 10; H.S. Taylor and R. Yaris, The rotated-coordinate method and its relation to the stabilization method, Comments At. Mol. Phys. 9, 73 (1980).

    CAS  Google Scholar 

  23. A.J.F. Siegert, On the derivation of the dispersion formula for nuclear reactions, Phys. Rev. 56, 750 (1939).

    Article  CAS  Google Scholar 

  24. M.A. Morrison and N.F. Lane, Threshold structure in the vibrational excitation of CO2 by low-energy electrons, Chem. Phys. Lett. 66, 527 (1979).

    Article  CAS  Google Scholar 

  25. L. Dubé and A. Herzenberg, Vibrational excitation of polar molecules by slow electrons: HOl., Phys. Rev. Lett. 38, 820 (1977).

    Article  Google Scholar 

  26. M.J.W. Boness and G.J. Schulz, Vibrational excitation of CO, by electron impact, Phys. Rev. Lett. 21, 1031 (1968); Vibrational excitation in CO, via the 3.8-eV resonance, Phys. Rev. A 9, 1969 (1974); I. Cadez, M. Tronc, and R.I. Hall, Oscillations in electron impact cross sections of CO, between 3 and 5 eV, J. Phys. B 7, L132 (1974); I. Cadez, F. Gresteau, M. Tronc, and R.I. Hall, Resonant electron impact excitation of CO, in the 4 eV region, J. Phys. B 10, 3821 (1977); C. Szmytkowski and M. Zubek, Calculation of the cross sections for resonant vibrational excitation of CO2 by electron collision, J. Phys. B 10, L31 (1977); C. Szmytkowski, M. Zubek, and J. Drewko, Calculations of cross sections for vibrational excitation and de-excitation of CO2 by electronic collisions, J. Phys. B 11, L371 (1978); W. Domcke and L.S. Cederbaum, Simple formula for the vibrational structure of resonances in electron-molecule scattering, J. Phys. B 10, L47 (1977); Theory of the vibrational structure of resonances in electron-molecule scattering, Phys. Rev. A 16, 1465 (1977).

    Article  CAS  Google Scholar 

  27. H.S. Taylor, E. Goldstein, and G.A. Segal, Resonance states of HC1- and electron-HCl scattering processes, J. Phys. B 10, 2253 (1977).

    Article  CAS  Google Scholar 

  28. R.K. Nesbet, Interpretation of low-energy electron-HCl scattering phenomena, J. Phys. B 10, L739 (1977).

    Article  CAS  Google Scholar 

  29. H.M. Nussenzveig, The poles of the S-matrix of a rectangular potential well or barrier, Nucl.Phys. 11, 499(1959).

    Article  CAS  Google Scholar 

  30. P.G. Burke, A.J. Taylor, J.W. Cooper, and S. Ormonde, The scattering of electrons by helium atoms, Proc. Vth ICPEAC, p. 376, Leningrad, 1967; P.G. Burke, J.W. Cooper, and S. Ormonde, Low-energy scattering of electrons by helium, Phys. Rev. 183, 245 (1969); H. Ehrhardt, L. Langhans, and F. Linder, Die differentiellen Anregungsfunktionen der n = 2-Zustànde von Helium, Z. Phys. 214, 179 (1968).

    Google Scholar 

  31. P.L. Kapur and R. Peierls, The dispersion formula for nuclear reactions, Proc. Roy. Soc. A 166, 277 (1938).

    Article  CAS  Google Scholar 

  32. E.S. Chang, Comment on rotational and vibrational excitation of H2 by electron impact, Phys. Rev. Lett. 33, 1644 (1974).

    Article  CAS  Google Scholar 

  33. E.S. Chang and U. Fano, Theory of electron-molecule collisions by frame transformations, Phys. Rev. A 6, 173 (1972).

    Article  Google Scholar 

  34. E.S. Chang and A. Temkin, Rotational excitation of diatomic molecules by electron impact, Phys. Rev. Lett. 23, 399 (1969); A. Temkin and E.C. Sullivan, Rotational-vibrational coupling in the theory of electron-molecule scattering, Phys. Rev. Lett. 33, 1057 (1974).

    Article  CAS  Google Scholar 

  35. H.S.W. Massey et al, in Ref. 10.

    Google Scholar 

  36. G.J. Schulz and R.K. Asundi, Isotope effect in the dissociative attachment in H, at low energy, Phys. Rev. 158, 25 (1967).

    Article  CAS  Google Scholar 

  37. M. Allan and S.F. Wong, Effect of vibrational and rotational excitation on dissociative attachment in hydrogen, Phys. Rev. Lett. 41, 1791 (1978).

    Article  CAS  Google Scholar 

  38. J.M. Wadehra and J.N. Bardsley, Vibrational-and rotational-state dependence of dissociative attachment in e-H2 collisions, Phys. Rev. Lett. 41, 1795 (1978).

    Article  CAS  Google Scholar 

  39. J.N. Bardsley, A. Herzenberg, and F. Mandl, Electron resonances of the H- 2 ion, Proc. Phys. Soc, London 89, 305 (1966); Vibrational excitation and dissociative attachment in the scattering of electrons by hydrogen molecules, Proc. Phys. Soc, London 89, 321(1966).

    Article  CAS  Google Scholar 

  40. J.C.Y. Chen and J.L. Magee, Excitation of molecular vibration by slow electron impact, J. Chem. Phys. 36, 1407 (1962).

    Article  CAS  Google Scholar 

  41. K. Takayanagi, Vibrational excitation of hydrogen molecules by slow electrons, J. Phys. Soc. Jpn. 20, 562 (1965); Excitation of molecular vibration by slow electrons, ibid. 20, 2297 (1965).

    Article  Google Scholar 

  42. A. Klonover and U. Kaldor, Zero-point vibration in low-energy electron-molecule scattering theory, J. Phys. B 12,L61, 323 (1979).

    Article  CAS  Google Scholar 

  43. T.N. Rescigno, C.W. McCurdy, and V. McKoy, Discrete basis set approach to non-spherical scattering, Chem. Phys. Lett. 27, 401 (1974); Discrete-basis-set approach to nonspherical scattering. II, Phys. Rev. A 10, 2240 (1974); Low-energy e-H2 elastic cross sections using discrete basis functions, Phys. Rev. A 11, 825 (1975).

    CAS  Google Scholar 

  44. N.F. Lane and R.J.W. Henry, Polarization potential in low-energy electron-H2 scattering, Phys. Rev. 173, 183 (1968); R.J.W. Henry and N.F. Lane, Polarization and exchange effects in low-energy electron-H2 scattering, Phys. Rev. 183, 221 (1969); Phys. Rev. A 4, 410 (1971); R.J.W. Henry, Vibrational and rotational excitation of molecular hydrogen by electron impact, Phys. Rev. A 2, 1349 (1970); R.J.W. Henry and E.S. Chang, Rotational-vibrational excitation of H2 by slow electrons, Phys. Rev. A 5, 276 (1972).

    Article  CAS  Google Scholar 

  45. A. Temkin and E.C. Sullivan, in Ref. 34.

    Google Scholar 

  46. L. Dubé and A. Herzenberg, Resonant electron-molecule scattering: The impulse approximation in N2O, Phys. Rev. A ll, 1314 (1975).

    Article  Google Scholar 

  47. R. Azria, S.F. Wong, and G.J. Schulz, Vibrational excitation in N2O via the 2.3-eV shape resonance, Phys. Rev. A 11, 1309 (1975).

    Article  CAS  Google Scholar 

  48. S.F. Wong, J. Michejda, and A. Stamatovic, unpublished. Their results for e + N2, v = 1 → 2, were published by permission in Ref. 49, Fig. 4.

    Google Scholar 

  49. L. Dubé and A. Herzenberg, Absolute cross sections from the “boomerang model” for resonant electron-molecule scattering, Phys. Rev. A 20,194 (1979).

    Article  Google Scholar 

  50. J.N. Bardsley, Configuration interaction in the continuum states of molecules, J. Phys. B 1,349, 365 (1968).

    Article  Google Scholar 

  51. G. Parlant and F. Fiquet-Fayard, Comparison of Γ(R) theory (local width) and Γ(E) theory (energy dependent width) for resonant excitation. Application to O- 2 2II g , in IX ICPEAC, Seattle, 1975, Book of Abstracts, p. 279.

    Google Scholar 

  52. A.U. Hazi, T.N. Rescigno, and M. Kurila, Cross-sections for resonant vibrational excitation of N2 by electron impact, Phys. Rev. A 23,1089 (1981).

    Article  CAS  Google Scholar 

  53. The data on the potential surface and vibrational spectrum of the electronic ground state of O- 2 are assembled by Schulz (see Ref. 9, Fig. 69, p. 471).

    Google Scholar 

  54. A. Herzenberg, Oscillatory energy dependence of resonant electron-molecule scattering, J. Phys. B 1, 548 (1968).

    Article  Google Scholar 

  55. J.M. Blatt and V.F. Weisskopf, in Ref. 19, Chapter 8, Section 5.

    Google Scholar 

  56. F.R. Gilmore, Potential energy curves for N2, NO, O2 and corresponding ions, J. Quant. Spectrosc. Radiat. Transfer 5, 369 (1965).

    Article  CAS  Google Scholar 

  57. J.N. Bardsley, F. Mandl, and A.R. Wood, The structure of the 2 eV N- resonance, Chem. Phys. Lett. 1, 359 (1967).

    Article  CAS  Google Scholar 

  58. J.N. Bardsley and F.H. Read, Predicted angular distribution for resonant scattering of electrons by molecules, Chem. Phys. Lett. 2, 333 (1968); T.F. O’Malley and H.S. Taylor, Angular dependence of scattering products in electron-molecule resonant excitation and in dissociative attachment, Phys. Rev. 176, 207 (1968).

    Article  CAS  Google Scholar 

  59. H. Ehrhardt and K. Willmann, Die Winkelabhàngigkeit der Resonanzstreuung niederenergetischer Elektronen an N2, Z. Phys. 204, 462 (1967).

    Article  CAS  Google Scholar 

  60. C.R. Claydon, G.A. Segal, and H.S. Taylor, Theoretical interpretation of the electron scattering spectrum of CO2, J. Chem. Phys. 52, 3387 (1970); J. Pacansky, U. Wahlgren, and P.S. Bagus, SCF ab initio ground state energy surfaces for CO2 and CO- 2 J. Chem. Phys. 62, 2740 (1975) (see also Ref. 27 [HCl-]); M. Krauss and W.J. Stevens, Electronic structure of the negative ion of HC1, J. Chem. Phys. 74, 570 (1981).

    Article  CAS  Google Scholar 

  61. B.I. Schneider and P.J. Hay, Elastic scattering of electrons from F2; An R-matrix calculation, Phys. Rev. A 13, 2049 (1976); T.N. Rescigno and CF. Bender, The stability of the F- 2 ion: A model for dissociative attachment, J. Phys. B 9, L329 (1976).

    Article  CAS  Google Scholar 

  62. P.G. Burke and A.L. Sinfailam, Electron-molecule interactions, II: Scattering by closed-shell diatomic molecules, J. Phys. B 3, 641 (1970); P.G. Burke and N. Chandra, Electron-molecule interactions, III: A pseudo-potential method for e --N2 scattering, J. Phys. B 5, 1696 (1972); B.D. Buckley and P.G. Burke, The scattering of low-energy electrons by diatomic molecules, J. Phys. B 10, 725 (1977).

    Article  CAS  Google Scholar 

  63. N. Chandra and A. Temkin, Hybrid theory and calculation of e-N2 scattering, Phys. Rev. A 13, 188 (1976); Hybrid theory calculation of simultaneous vibration-rotation excitation in e-N2 scattering, Phys. Rev. A 14, 507 (1976); Hybrid theory calculation of electron-N2 scattering at 5 and lOeV, J. Chem. Phys. 65, 4537 (1976); see also B.H. Choi and R.T. Poe, Vibrational and rotational transitions in low-energy electron-diatomic-molecule collisions, Phys. Rev. A 16,1831 (1977).

    Article  CAS  Google Scholar 

  64. B.I. Schneider, M. Le Dourneuf, and Vo Ky Lan, Resonant vibrational excitation of N2 by low-energy electrons: An ab initio R-matrix calculation, Phys. Rev. Lett. 43, 1926 (1979); see also B.I. Schneider, M. LeDourneuf, and P.G. Burke, Theory of vibrational excitation and dissociative attachment: An R-matrix approach, J. Phys. B 12, L365 (1979).

    Article  CAS  Google Scholar 

  65. M. Krauss and F.H. Mies, Molecular-orbital calculation of the shape resonance in N2, Phys. Rev. A 1, 1592 (1970).

    Article  Google Scholar 

  66. D.T. Birtwistle and A. Herzenberg, Vibrational excitation of N2 by resonance scattering of electrons, J. Phys. B 4, 53 (1971).

    Article  CAS  Google Scholar 

  67. See Ref. 49, and A. Herzenberg, Strong excitation of nuclear motions in electron-molecule collisions, in Invited Papers and Progress Reports, X ICPEAC, Paris, 1977 (G. Watel, ed.), North-Holland, Amsterdam (1978), p. 1.

    Google Scholar 

  68. I.M. Cadez et al. (1977), in Ref. 26. A. Huetz, I. Cadez, F. Gresteau, R.I. Hall, D. Vichon, and J. Mazeau, Formation and decay of the first 2II u state of N- 2, Phys. Rev. A 21, 622 (1980).

    Article  Google Scholar 

  69. C. Szmytkowski and M. Zubek, Calculation of the cross sections for resonant vibrational excitation of CO2 by electron collision, J. Phys. B 10, L31 (1977);Calculation of resonant vibrational excitation of CO by scattering of electrons, J. Phys. B 10, L27 (1977); C. Szmytkowski et al. (1978), in Ref. 26; M. Zubek and C. Szmytkowski, Electron impact vibrational excitation of CO in the range 1-4 eV, Phys. Lett. A 74, 60 (1979).

    Article  CAS  Google Scholar 

  70. A. Herzenberg and F. Mandl, Vibrational excitation of molecules by resonance scattering of electrons, Proc. R. Soc, London, A 270, 48 (1962).

    Article  CAS  Google Scholar 

  71. J.C.Y. Chen, Theory of subexcitation electron scattering by molecules. II. Excitation and de-excitation of molecular vibration, J. Chem. Phys. 40, 3513 (1964).

    Article  CAS  Google Scholar 

  72. R.K. Nesbet, Energy-modified adiabatic approximation for scattering theory, Phys. Rev. A 19, 551 (1979).

    Article  CAS  Google Scholar 

  73. W. Domcke and L.S. Cederbaum, in Ref. 26.

    Google Scholar 

  74. G.J. Schulz, Vibrational excitation of N2, CO, and H2 by electron impact, Phys. Rev. 135, A988 (1964).

    Article  Google Scholar 

  75. R.J.W. Henry, in Ref. 44.

    Google Scholar 

  76. R.A. Abram and A. Herzenberg, Rotational excitation of H2 by slow electrons, Chem. Phys. Lett. 3, 187 (1969) (see also Ref. 98).

    Article  CAS  Google Scholar 

  77. F. Linder and H. Schmidt, Rotational and vibrational excitation of H2 by slow electron impact, Z. Naturforsch. A 26a, 1603 (1971).

    Google Scholar 

  78. The dots in Fig. 1d are absolute experimental measurements by Wong, Michejda, and Stamatovic which were previously published in the same diagram by permission in Ref. 49.

    Google Scholar 

  79. H. Ehrhardt, L. Langhans, F. Linder, and H.S. Taylor, Resonance scattering of slow electrons from H2 and CO angular distributions, Phys. Rev. 173, 222 (1968).

    Article  CAS  Google Scholar 

  80. F. Linder and H. Schmidt, Experimental study of low energy e-O2 collision processes, Z. Naturforsch. A 26a, 1617 (1971).

    Google Scholar 

  81. M.J.W. Boness and G.J. Schulz (1974), in Ref. 26.

    Google Scholar 

  82. K. Rohr and F. Linder, Vibrational excitation of polar molecules by electron impact I. Threshold resonances in HF and HCl, J. Phys. B 9, 2521 (1976); see also J.P. Ziesel, I. Nenner, and G.J. Schulz, Negative ion formation, vibrational excitation, and transmission spectroscopy in hydrogen halides, J. Chem. Phys. 63,1943 (1975).

    Article  CAS  Google Scholar 

  83. K. Rohr, Vibrational excitation of SF6 by low-energy electron impact, J. Phys. B 10, 1175 (1977).

    Article  CAS  Google Scholar 

  84. S. Trajmar, D.G. Truhlar, J.K. Rice, and A. Kupperman, Electron scattering by H2 with and without vibrational excitation. III. Experimental and theoretical study of inelastic scattering, J. Chem. Phys. 52, 4516 (1970).

    Article  CAS  Google Scholar 

  85. M. Zubek and C. Szmytkowski, in Ref. 69.

    Google Scholar 

  86. A. Huetz et al, in Ref. 68.

    Google Scholar 

  87. M. Tronc, R. Azria, and R. Paineau, Shape resonances in vibrational excitation of molecules: [100] symmetric stretch mode excitation in CO2, J. Phys. (Paris) Lett. 40, L323 (1979).

    Google Scholar 

  88. J.L. Dehmer and Dan Dill, Shape-resonance enhanced nuclear motion effects in electron-molecule scattering and molecular photoionization, in Invited Papers and Progress Reports, XI ICPEAC (N. Oda and K. Takayanagi, eds.), North-Holland, Amsterdam (1980), p. 195.

    Google Scholar 

  89. 89.I. Cadez and F. Fayard, The calculation of cross sections for some resonant excitations of N2, in VIII ICPEAC, Belgrade, 1973 (B.C. Cobic and M.V. Kurepa, eds.), p. 454.

    Google Scholar 

  90. K.D. Jordan, J.A. Michejda, and P.D. Burrow, Electron transmission studies of the negative ion states of substituted benzenes in the gas phase, J. Am. Chem. Soc. 98, 7189 (1976).

    Article  CAS  Google Scholar 

  91. S.F. Wong and G.J. Schulz, Vibrational excitation in benzene by electron impact via resonances: Selection rules, Phys. Rev. Lett. 35, 1429 (1975).

    Article  CAS  Google Scholar 

  92. H. Ehrhardt and F. Linder, Rotational excitation of H2 by slow electrons in a beam experiment, Phys. Rev. Lett. 21, 419 (1968).

    Article  CAS  Google Scholar 

  93. E.S. Chang and S.F. Wong, Isotope effects in molecular scattering by electrons, Phys. Rev. Lett. 38, 1327 (1977).

    Article  CAS  Google Scholar 

  94. F.H. Read, Branch structure in rotational excitation by resonant electron molecule collisions, J. Phys. B 5, 255 (1972); J. Comer and M. Harrison, Observation of the effects of rotational transitions in the resonant scattering of electrons from N2, J. Phys. B 6, L70 (1973).

    Article  CAS  Google Scholar 

  95. S.F. Wong and L. Dubé, Rotational excitation of N2 by electron impact: 1-4eV, Phys Rev. A 17, 570 (1978).

    Article  CAS  Google Scholar 

  96. Z. Pavlovic, M.J.W. Boness, A. Herzenberg, and G.J. Schulz, Vibrational excitation in N2 by electron impact in the 15-35 eV region, Phys. Rev. A 6, 676 (1972).

    Article  CAS  Google Scholar 

  97. G.F. Chew and M.L. Goldberger, The scattering of elementary particles by complex nuclei — A generalization of the impulse approximation, Phys. Rev. 87, 778 (1952).

    Article  CAS  Google Scholar 

  98. Y.D. Oksyuk, Excitation of the rotational levels of diatomic molecules by electron impact in the adiabatic approximation, Sov. Phys. JETP 22, 873 (1966); R.A. Abram and A. Herzenberg, Ref. 76; E.S. Chang and A. Temkin, Rotational excitation of diatomic molecules by electron impact, J. Phys. Soc. Jpn. 29, 172 (1970).

    Google Scholar 

  99. D.M. Chase, Adiabatic approximation for scattering processes, Phys. Rev. 104, 838 (1956).

    Article  CAS  Google Scholar 

  100. I.S. Yelets and A.K. Kazansky, JETP 82, 450 (1982)

    Google Scholar 

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Herzenberg, A. (1984). Vibrational Excitation of Molecules By Slow Electrons. In: Shimamura, I., Takayanagi, K. (eds) Electron-Molecule Collisions. Physics of Atoms and Molecules. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2357-0_3

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