Skip to main content

Recent Developments of the Frame Transformation Theory of Electron Molecule Processes

I. R-Matrix Description of Short Range Electronuclear Correlations in Resonant Vibrational Excitation and Dissociative Attachment

  • Chapter
Electron-Atom and Electron-Molecule Collisions

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

Abstract

A computationally efficient technique for an ab initio description of electron-molecule processes is investigated within the framework of frame transformations. In the first part, we concentrate on resonant processes, determinant in vibrational excitation and dissociative attachment. The key tool of the frame transformations is then the R-matrix method which allows separate resolution of the Schrödinger equation in the close and distant interaction regions, where completely different physical conditions prevail: formation of a complex AB_ at short distances, electronic or nuclear dissociation (e + AB, A + B) at large distances. The implementation of the method is illustrated on the well known N2(2Πg) vibrational resonance, showing that the electronic correlations are efficiently described by a simple Hartree-Fock representation of the AB complex and the electronuclear correlations are also efficiently described by a simple Born-Oppenheimer factorisation of the electronic and nuclear motions of the AB complex. The connection with alternative approaches, specially the widely successful Boomerang model, closes the discussion.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover 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. D.M. Chase, Phys. Rev. 104, 838 (1956).

    Article  ADS  Google Scholar 

  2. F.A. Gianturco and N.K. Rahman, Chem. Phys. Lett., 380 (1977)

    Google Scholar 

  3. J. Phys. B10, L 219 (1977)

    Google Scholar 

  4. J. Phys. B11, 727 (1977).

    Google Scholar 

  5. F.A. Gianturco and D.G. Thompson, J. Phys. B13, 613 (1980).

    ADS  Google Scholar 

  6. M.A. Morrison and L.A. Collins, Phys. Rev. A17, 918 (1978).

    ADS  Google Scholar 

  7. L.A. Collins, W.D. Robb and M.A. Morrison, Phys. Rev. A21, 488 1980.

    ADS  Google Scholar 

  8. L.A. Collins, R.J.W. Henry and D.W. Norcross, J. Phys. B13 2299 (1980).

    ADS  Google Scholar 

  9. W.D. Robb and L.A. Collins, Phys. Rev. A22, 2474 (1980).

    ADS  Google Scholar 

  10. M.A. Morrison and L.A. Collins, Phys. Rev. A23, 127 (1981).

    ADS  Google Scholar 

  11. A.M. Arthurs and A. Dalgarno, Proc. Roy. Soc. A256, 334 (1960).

    Google Scholar 

  12. N. Chandra and A. Temkin, Phys. Rev. A13, 188 (1976).

    ADS  Google Scholar 

  13. A. Temkin in “Electron and Photon Molecule Collisions”, ed. by T.N. Rescigno, V. McKoy and B.I. Schneider (Plenum Press, New York, 1979) p. 173.

    Chapter  Google Scholar 

  14. H.S. Taylor, E. Goldstein and G.A. Segal, J. Phys. B10, 2253 (1977).

    ADS  Google Scholar 

  15. E. Goldstein, G.A. Segal and R.W. Wetmore, J. Chem. Phys. 68, 74 (1978).

    Article  Google Scholar 

  16. R.K. Nesbet, J. Phys. B10, L739 (1977).

    ADS  Google Scholar 

  17. A. Herzenberg, Symposium on Electron Molecule Sollisions, ed. by I. Shimamura and M. Matsuzawa (University of Tokyo 1979) p.77.

    Google Scholar 

  18. M.A. Morrison and N.F. Lane, Phys. Rev. A12, 2361 (1975).

    ADS  Google Scholar 

  19. C.W. McCurdy Jr., T.N. Rescigno and V. McKoy, J. Phys. B9 691 (1976).

    ADS  Google Scholar 

  20. B.I. Schneider, M.Le Dourneuf and P.G. Burke, J. Phys. B12, L365 (1979).

    Google Scholar 

  21. C. Bloch, Nuclear Phys. 4, 503 (1957).

    Article  ADS  MATH  Google Scholar 

  22. E.S. Chang and U. Fano, Phys. Rev A6, 173 (1972).

    ADS  Google Scholar 

  23. P.G. Burke, I. Mackey and I. Shimamura, J. Phys. B10, 2497 (1977).

    MathSciNet  ADS  Google Scholar 

  24. B.D. Buckley and P.G. Burke in “Electron and Photon Molecule Collisions”, ed. by T.N. Rescigno, V. McKoy and B.I. Schneider (Plenum Press, New York 1979) p. 133.

    Chapter  Google Scholar 

  25. B.D. Buckley, P.G. Burke and Vo KyLan, CPC 17, 175 (1979).

    ADS  Google Scholar 

  26. B.I. Schneider, CHem. Phys. Lett., 31, 237 (1975)

    Article  ADS  Google Scholar 

  27. Phys. Rev. A11, 1957 (1975); in “Electronic and Atomic Collisions”, ed. by G. Watel (North Holland Publishing Co. 1978) p.257; in “Electron and Photon Molecule Collisions”, ed. by T.N. Rescigno, V. McKoy and B.I. Schneider (Plenum Press, New York 1979) p.77.

    Google Scholar 

  28. T.F. O’Malley, Adv. At.Mol. Phys. 7, 223 (1969).

    Article  Google Scholar 

  29. B.I. Schneider, M.Le Dourneuf and Vo Ky Lan, Phys. Rev. Lett., 43, 1927 (1979).

    Article  ADS  Google Scholar 

  30. M. Krauss and F.H. Mies, Phys. Rev. Al, 1592 (1970).

    ADS  Google Scholar 

  31. D.T. Birtwistle and A. Herzenberg, J. Phys. B4, 53 (1971).

    ADS  Google Scholar 

  32. L. Dubé and A. Herzenberg, Phys. Rev. A20, 194 (1979).

    ADS  Google Scholar 

  33. H. Ehrhardt and K. Willmann, Z. Phys., 204, 462 (1967).

    Article  ADS  Google Scholar 

  34. S.F. Wong, unpublished measurements reproduced in ref. 18.

    Google Scholar 

  35. D. Golden, Phys. Rev. Lett. 17, 847 (1966).

    Article  ADS  Google Scholar 

  36. R.E. Kennerly and R.A. Vonham, Phys. Rev. A17 1844 (1978).

    ADS  Google Scholar 

  37. R.E. Kennerly, Phys. Rev. A21, 1876 (1980).

    ADS  Google Scholar 

  38. B.D. Buckley and P.G. Burke, J. Phys. B10, 725 (1977).

    ADS  Google Scholar 

  39. A. Hazi, this issue and submitted to Phys. Rev. A (1980).

    Google Scholar 

  40. A. Herzenberg and F. Mandl, Proc. Roy. Soc, A270, 48 (1962).

    ADS  Google Scholar 

  41. A. Herzenberg, K.L. Kwok and F. Mandl, Proc. Phys. Soc., 84, 477 (1964).

    Article  MathSciNet  ADS  Google Scholar 

  42. J.N. Bardsley, A. Herzenberg and F. Mandl, Proc. Phys. Soc., 89, 321 (1966).

    Article  ADS  Google Scholar 

  43. J.N. Bardsley, J. Phys. B1, 349 (1968)

    ADS  Google Scholar 

  44. in “Electron and Photon Molecule Collisions”, ed. by T.N. Rescigno... (Plenum Press) p. 267. T.F. O’Malley, Phys. Rev. 150, 14 (1966); 156, 230 (1967).

    Google Scholar 

  45. F. Fiquet Fayard, Vacuum 24, 533 (1974).

    Google Scholar 

  46. C.M. Lee, Phys. Rev. A 16, 109 (1977).

    Article  ADS  Google Scholar 

  47. A. Giusti-Suzor, J. Phys. B13, (1980).

    Google Scholar 

  48. C. Jungen and O. Atabek, J. Chme. Phys. 66, 5584 (1977).

    Article  ADS  Google Scholar 

  49. H. Lefebvre-Brion and A. Giusti-Suzor, this issue.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer Science+Business Media New York

About this chapter

Cite this chapter

Le Dourneuf, M., Lan, V.K., Schneider, B.I. (1983). Recent Developments of the Frame Transformation Theory of Electron Molecule Processes. In: Hinze, J. (eds) Electron-Atom and Electron-Molecule Collisions. Physics of Atoms and Molecules. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2148-2_9

Download citation

  • DOI: https://doi.org/10.1007/978-1-4899-2148-2_9

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-2150-5

  • Online ISBN: 978-1-4899-2148-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics