Skip to main content
SpringerLink
Log in

Doubly excited triplet states of the helium isoelectronic sequence

A time dependent perturbation approach

  • Original Contributions
  • Published:
Zeitschrift für Physik D Atoms, Molecules and Clusters

Abstract

Doubly excited triplet states have been obtained for the first four members of helium isoelectronic sequence for the transitions Nsnp:3 P 0, Nsnd:3 D e and Npnd:3 F 0 forN=2, 3, 4,n≧N, 4 using a newly developed formalism based on time dependent perturbation theory. The doubly excited states have been identified as resonances in the oscillations of the two electron charge cloud and are obtained from a study of the behaviour of an appropriately constructed linearised variational functional with respect to externally impressed frequency. A correlated description of the orbitals in terms of product basis sets has been used. Many of the results are new and agreement with the experimental and theoretical data, whenever available, is good. Analytic representations of the doubly excited states have been obtained. These are used to calculate the Coulomb repulsion between the electron pair and may be very useful for calculating other physical properties of the system connected with transitions.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Doscheek, G.A., Meekins, P., Kerplin, R.W., Chubb, T.A., Friedman, H.: Astrophys. J.164, 165 (1971)

    Google Scholar 

  2. Walker Jr., A.B.C., Rugge, H.R.: Ap. J.164, 181 (1971)

    Google Scholar 

  3. Madden, R.P., Codling, K.: Phys. Rev. Lett.10, 516 (1963)

    Google Scholar 

  4. Madden, R.P., Codling, K.: Astrophys. J.141, 364 (1965)

    Google Scholar 

  5. Carroll, P.K., Kennedy, E.T.: Phys. Rev. Lett.38, 1068 (1977)

    Google Scholar 

  6. Woodruff, P.R., Samson, J.A.R.: Phys. Rev. A25, 848 (1982)

    Google Scholar 

  7. Rudd, M.E., Jorgensen Jr., T., Volz, D.V.: Phys. Rev. Lett.16, 929 (1966)

    Google Scholar 

  8. Gelebart, F., Tweed, R.J., Peresse, J.: J. Phys. B9, 1739 (1976)

    Google Scholar 

  9. Silvermann, S.M., Lassettre, E.N.: J. Chem. Phys.40, 1265 (1964)

    Google Scholar 

  10. Simpson, J.A., Mielczarek, S.R., Cooper, J.W.: J. Opt. Soc. Am.54, 269 (1964)

    Google Scholar 

  11. Simpson, J.A., Chamberlain, G.E., Mielczarek, S.R.: Phys. Rev. A139, 1039 (1965)

    Google Scholar 

  12. Hicks, P.J., Comer, J.: J. Phys. B8, 1866 (1975)

    Google Scholar 

  13. Oda, N., Tahira, A., Nishimura, F.: Phys. Rev. A15, 574 (1977)

    Google Scholar 

  14. Barker, B.R., Berry, W.H.: Phys. Rev.151, 14 (1966)

    Google Scholar 

  15. Bruch, R., Paul, G., Andra, J., Lipsky, L.: Phys. Rev. A12, 1808 (1975)

    Google Scholar 

  16. Ziem, P., Bruch, R., Stolterfoht, N.: J. Phys. B8, L480 (1975)

  17. Rodbro, M., Bruch, R., Bisgaard, P.: J. Phys. B12, 2413 (1979)

    Google Scholar 

  18. Bruch, R., Altick, P.L., Trabert, E., Hechman, P.H.: J. Phys. B17, L655 (1984)

  19. Cederquist, H., Kisiclinski, K., Mannervik, S.: J. Phys. B16, L479 (1983)

  20. Cooper, J.W., Fano, U., Pratts, F.: Phys. Rev. Lett.10, 518 (1963)

    Google Scholar 

  21. Burke, P.G., Taylor, A.J.: Proc. Phys. Soc. (London)88, 665 (1966)

    Google Scholar 

  22. Macek, J.: Proc. Phys. Soc. (London)92, 365 (1967)

    Google Scholar 

  23. Callaway, J.: Phys. Rev. A26, 199 (1982)

    Google Scholar 

  24. O'Malley, T.F., Geltman, S.: Phys. Rev. A137, 1344 (1965)

    Google Scholar 

  25. Bhatia, A.K.: Phys. Rev. A6, 120 (1972): ibid.15, 1315 (1977)

    Google Scholar 

  26. Bhatia, A.K., Temkin, A.: Phys. Rev. A11, 2018 (1975)

    Google Scholar 

  27. Hazi, A.U., Taylor, H.S.: Phys. Rev. A1, 1109 (1970)

    Google Scholar 

  28. Oberoi, R.S.: J. Phys. B5, 1120 (1972)

    Google Scholar 

  29. Chung, K.T.: Phys. Rev. A6, 1809 (1972)

    Google Scholar 

  30. Chung, K.T., Davis, B.F.: Phys. Rev. A22, 835 (1980)

    Google Scholar 

  31. Lipsky, L., Anania, R., Conneely, M.J.: At. Data. Nucl. Data Tables20, 127 (1977)

    Google Scholar 

  32. Ho, Y.K.: J. Phys. B10, L373 (1977); ibid12, 387 (1979); Phys. Lett. A79, 44 (1980); Phys. Rev. A23, 2137 (1981); J. Phys. B15, L691 (1982)

  33. Ho, Y.K., Callaway, J.: J. Phys. B18, 3481 (1985)

    Google Scholar 

  34. Lin, C.D.: Phys. Rev. Lett.51, 1348 (1983)

    Google Scholar 

  35. Koyama, N., Fukuda, H., Motoyama, T., Matsuzawa, M.: J. Phys. B19, L331 (1986)

  36. Fukuda, H., Koyama, N., Matsuzawa, M.: J. Phys B20, 2954 (1987)

    Google Scholar 

  37. Koyama, N., Takafuzi, A., Matsuzawa, M.: J. Phys. B22, 553 (1989)

    Google Scholar 

  38. Oksuz, I.: Phys. Rev. A13, 1507 (1976)

    Google Scholar 

  39. Nicolaides, C.A.: Phys. Rev. A6, 2078 (1972)

    Google Scholar 

  40. Rehmus, P., Berry, R.S.: Phys. Rev. A23, 416 (1981)

    Google Scholar 

  41. Iachello, F., Rau, A.R.P.: Phys. Rev. Lett.47, 501 (1981)

    Google Scholar 

  42. Ezra, G.S., Berry, R.S.: Phys. Rev. A25, 1513 (1982); ibid28, 1973, 1989 (1983)

    Google Scholar 

  43. Wulfman, C.: Chem. Phys. Lett.23, 370 (1973)

    Google Scholar 

  44. Herrick, D.R., Sinanoglu, O.: Phys. Rev. A11, 97 (1975)

    Google Scholar 

  45. Herrick, D.R., Kellman, M.E.: Phys. Rev. A21, 418 (1980)

    Google Scholar 

  46. Herrick, D.R., Kellman, M.E., Poliak, R.D.: Phys. Rev. A22, 1517 (1980)

    Google Scholar 

  47. Kellman, M.E., Herrick, D.R.: Phys. Rev. A22, 1536 (1980)

    Google Scholar 

  48. Ho, Y.K.: Phys. Rep.99, 1 (1983)

    Google Scholar 

  49. Fano, U.: Rep. Prog. Phys.46, 97 (1983)

    Google Scholar 

  50. Herrick, D.R.: Adv. Chem. Phys.52, 1 (1983)

    Google Scholar 

  51. Temkin, A. (ed.): Autoionisation, recent developments and applications. New York: Plenum Press 1985

    Google Scholar 

  52. Lin, C.D.: Adv. At. Mol. Phys.22, 77 (1986)

    Google Scholar 

  53. Ray, D., Kundu, B., Mukherjee, P.K., Ohtsuki, K., Ohno, K.: Phys. Lett. A136, 423 (1989)

    Google Scholar 

  54. Ray, D., Mukherjee, P.K.: J. Phys. B24, 1241 (1991)

    Google Scholar 

  55. Lowdin, P.O., Mukherjee, P.K.: Chem. Phys. Lett.14, 1 (1972)

    Google Scholar 

  56. Langhoff, P.W., Epstein, S.T., Karplus, M.: Rev. Mod. Phys.44, 602 (1972)

    Google Scholar 

  57. Mukherji, A.: Pramana2, 54 (1974)

    Google Scholar 

  58. Weiss, A.: Phys. Rev.122, 1826 (1961)

    Google Scholar 

  59. Clementi, E.: Tables of Atomic Functions.IBM Res. [Suppl] (1965)

  60. Shearer-Izumi, W.: At. Data Nucl. Data Tables20, 531 (1977)

    Google Scholar 

  61. Martin, W.C.: J. Phys. Chem.2, 262 (1973)

    Google Scholar 

  62. Bashkin, S., Stoner, J.O., Jr.: Atomic energy levels and grotrian diarams. Vol. 1. Amsterdam: North Holland 1975

    Google Scholar 

  63. Shearer-Izumi, W.: At. Data Nucl. Data Tables20, 127 (1977)

    Google Scholar 

  64. Pekeris, C.L.: Phys. Rev.112, 1949 (1958)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Spectroscopy, Indian Association for the Cultivation of Science, Jadavpur, 700032, Calcutta, India

    A. K. Das & P. K. Mukherjee

Authors
  1. A. K. Das
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. K. Mukherjee
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Das, A.K., Mukherjee, P.K. Doubly excited triplet states of the helium isoelectronic sequence. Z Phys D - Atoms, Molecules and Clusters 28, 97–103 (1993). https://doi.org/10.1007/BF01436974

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01436974

PACS

Search

Navigation