OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 55, Iss. 2 — Feb. 1, 1965
  • pp: 126–132

Configuration Interaction in the 4ƒ3 Configuration of Pr III

K. RAJNAK  »View Author Affiliations

JOSA, Vol. 55, Issue 2, pp. 126-132 (1965)

View Full Text Article

Acrobat PDF (856 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The energies of the 37 observed levels of the 4ƒ3 configuration of Pr III have been calculated with an rms deviation of ±29 cm-1 by use of 13 adjustable parameters, including 5 parameters which account for nonlinear configuration-interaction effects. The physical significance of the nonlinear parameters is discussed in terms of the relative roles of various mechanisms of configuration interaction.

K. RAJNAK, "Configuration Interaction in the 4ƒ3 Configuration of Pr III," J. Opt. Soc. Am. 55, 126-132 (1965)

Sort:  Author  |  Journal  |  Reset


  1. E. U. Condon and G. H. Shortley, The Theory of Atomic Spectra (Cambridge University Press, New York, 1935).
  2. G. Racah, Phys. Rev. 76, 1352 (1949).
  3. R. F. Bacher and S. Goudsmit, Phys. Rev. 46, 948 (1934).
  4. D. R. Layzer, dissertation, Harvard University, Cambridge, Massachusetts (1950).
  5. R. E. Trees, Phys. Rev. 83, 756 (1951); 84, 1089 (1951); 85, 382 (1952).
  6. G. Racah, Phys. Rev. 85, 381 (1952).
  7. G. Racah, Lunds Univ. Arsskr. AVD. 2 50, 31 (1954).
  8. R. E. Trees and C. K. Jørgensen, Phys. Rev. 123, 1278 (1961).
  9. K. Rajnak and B. G. Wybourne, Phys. Rev. 132, 280 (1963).
  10. R. E. Trees, Phys. Rev. 129, 1220 (1963).
  11. J. Sugar, J. Opt. Soc. Am. 53, 831 (1963).
  12. C. W. Nielson and George F. Koster, Spectroscopic Coefficients for the pn, dn and fn Configurations (Technology Press, Cambridge, Massachusetts, 1963).
  13. B. G. Wybourne, J. Chem. Phys. 40, 1457 (1964).
  14. K. Rajnak, J. Chem. Phys. 37, 2440 (1962).
  15. G. F. Koster and C. W. Nielson, a magnetic tape entitled "Energy Matrices for all Configurations of Equivalent ƒ Electrons," Massachusetts Institute of Technology, Cambridge, Massachusetts.
  16. William C. Davidon, "Variable Metric Method for Minimization," Argonne National Laboratory Report, ANL-5990 Rev. (1959). This general procedure has been adapted for spectroscopic problems by T. Clements of our Math and Computing group.
  17. R. E. Trees, J. Opt. Soc. Am. 54, 651 (1964).
  18. R. E. Trees, Phys. Rev. 84, 1089 (1951).
  19. G. Racah, Phys. Rev. 89, 381 (1952).
  20. The present notation for the linear parameters is that of I. The β used by Trees17 is related to the present γ, although they are not identical. Trees's γ is 1/12 of our β.
  21. B. R. Judd, Operator Techniques in Atomic Spectroscopy (McGraw—Hill Book Company, Inc., New York, 1963).
  22. B. R. Judd and I. Lindgren, Phys. Rev. 122, 1802 (1961).
  23. B. R. Judd, Proc. Roy. Soc. (London) A250, 562 (1959). These coefficients also appear in the tabulation of Nielson and Koster.12

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited