Russian Journal of Physical Chemistry B

, Volume 8, Issue 1, pp 1–8 | Cite as

Ionization of diatomic molecules by electron impact

Elementary Physicochemical Processes
  • 45 Downloads

Abstract

An analytical expression for the amplitude of ionization of the hydrogen molecule by electron impact in the first Born approximation with a one-center Coulomb continuum wave function is derived. The case where the incident electron energy is much greater than the ejected electron energy is considered. The molecular wave functions were constructed in the approximation of linear combination of atomic orbitals with overlapping configurations. The role of the orthogonalization of the initial and final wave functions of the active electron of the target is elucidated. The triple differential ionization cross sections for the different orientations of the molecular axis and that averaged over all orientations are calculated. The secondary electron angular distribution is represented in the form of three-dimensional images. A comparison with the results of other theoretical calculations and experimental data is performed.

Keywords

fast electron impact ionization hydrogen molecule Born approximation Coulomb continuum function ionization amplitude triple differential ionization cross section 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    H. S. W. Massey and C. B. O. Mohr, Proc. R. Soc. London A 140, 613 (1933).CrossRefGoogle Scholar
  2. 2.
    S. Dey, I. E. McCarthy, P. J. O. Teubner, et al., Phys. Rev. Lett. 34, 782 (1975).CrossRefGoogle Scholar
  3. 3.
    S. Geltman and M. B. Hidalgo, J. Phys. B: At. Mol. Opt. Phys. 7, 831 (1974).CrossRefGoogle Scholar
  4. 4.
    R. W. Zurales and R. R. Lucchese, Phys. Rev. A 37, 1176 (1988).CrossRefGoogle Scholar
  5. 5.
    P. F. Weck, O. A. Fojon, B. Joulakian, et al., Phys. Rev. A 66, 012711 (2002).CrossRefGoogle Scholar
  6. 6.
    P. Weck, O. A. Fojon, J. Hanssen, et al., Phys. Rev. A 63, 042709 (2001).CrossRefGoogle Scholar
  7. 7.
    K. Jung, E. Schubert, D. A. L. Paul, et al., J. Phys. B: At. Mol. Opt. Phys. 8, 1330 (1975).CrossRefGoogle Scholar
  8. 8.
    E. M. S. Casagrande, A. Naja, F. Mezdari, et al., J. Phys. B: At. Mol. Opt. Phys. 41, 025204 (2008).CrossRefGoogle Scholar
  9. 9.
    M. Cherid, A. Lahmam-Bennani, R. W. Zurales, et al., J. Phys. B: At. Mol. Opt. Phys. 22, 3483 (1989).CrossRefGoogle Scholar
  10. 10.
    K. Omidvar, H. L. Kyle, and E. C. Sullivan, Phys. Rev. A 5, 1174 (1972).CrossRefGoogle Scholar
  11. 11.
    C. Champion, J. Hanssen, and P. A. Hervieux, Phys. Rev. A 63, 052720 (2001).CrossRefGoogle Scholar
  12. 12.
    C. Champion, J. Hanssen, and P. A. Hervieux, Phys. Rev. A 65, 022710 (2002).CrossRefGoogle Scholar
  13. 13.
    J. F. Gao, D. H. Madison, and J. L. Peacher, Phys. Rev. A 72, 020701 (2005).CrossRefGoogle Scholar
  14. 14.
    J. F. Gao, D. H. Madison, and J. L. Peacher, J. Chem. Phys. 123, 204314 (2005).CrossRefGoogle Scholar
  15. 15.
    L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory (Fizmatlit, Moscow, 2004; Pergamon, New York, 1977).Google Scholar
  16. 16.
    S. Weinbaum, J. Chem. Phys. 1, 593 (1933).CrossRefGoogle Scholar
  17. 17.
    A. A. Radtsig and B. M. Smirnov, Handbook of Atomic and Molecular Physics (Moscow, Atomizdat, 1980), p. 177 [in Russian].Google Scholar
  18. 18.
    H. Eyring, J. Walter, and G. E. Kimball, Quantum Chemistry (Wiley, London, New York, 1944; Inostr. Liter., Moscow, 1948), p. 159.Google Scholar
  19. 19.
    B. N. Finkelstein and G. E. Horowitz, Z. Phys. 48, 118 (1928).CrossRefGoogle Scholar
  20. 20.
    G. Bateman and A. Erdelyi, Higher Transcendental Functions (McGraw-Hill, New York, 1953; Nauka, Moscow, 1969), Vol. 1.Google Scholar
  21. 21.
    G. Bateman and A. Erdelyi, Tables of Integral Transforms (McGraw-Hill, New York, 1954; Nauka, Moscow, 1969).Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2014

Authors and Affiliations

  1. 1.Saint-Petersburg State UniversitySt. PetersburgRussia

Personalised recommendations