Abstract

A theoretical interpretation is given for the configurations of the type 4<i>fnl</i> of Ce III. New values for radial parameters are obtained by least-squares. Percentage compositions in the appropriate coupling schemes are given for the energy levels. The rms error is less than 0.7% for most cases.

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  1. H. N. Russell, R. B. King, and R. J. Lang, Phys. Rev. 52, 456 (1937).
  2. J. Sugar, J. Opt. Soc. Am. 55, 33 (1965).
  3. G. Racah, Phys. Rev. 76, 1352 (1949), Sec. 6.
  4. G. Racah (private communication, 1963).
  5. R. E. Trees, J. Opt. Soc. Am. 54, 651 (1964).
  6. W. A. Runciman and B. G. Wybourne, J. Chem. Phys. 31, 1149 (1959).
  7. The same situation, however, occurs in the isoelectronic spectrum La II. This was pointed out to us by Racah,3 who—by taking into account the perturbation from 1S0 of p2 and the relative width of the corresponding configurations—predicted that the calculated position of 1S0 of f2 in La II would be off by 5000 cm-1. We tend to accept W. C. Martin's suggestion at this point, that the theory is not capable of an extrapolation from 17 421 (the nearest observed level) to 33 000 cm-1. This justifies our discarding of this level from our later calculations.
  8. U. Gotthelf, M.Sc. thesis, Hebrew University of Jerusalem (1960).
  9. H. N. Russell and W. F. Meggers, J. Res. Natl. Bur. Std. 9, 625 (1932).
  10. W. C. Martin, J. Opt. Soc. Am. 53, 1047 (1963).
  11. The formulas in this section can be found in B. Edlén, Atomic spectra, Encyclopedia of Physics, edited by S. Flügge (Springer-Verlag, Heidelberg, 1964), Vol. 27.
  12. G. Racah, Phys. Rev. 61, 537 (1942).
  13. E. U. Condon and G. H. Shortley, Theory of Atomic Spectra (Cambridge University Press, New York, 1935), 45.
  14. G. Racah, Phys. Rev. 62, 438 (1942), Sec. 10.

Condon, E. U.

E. U. Condon and G. H. Shortley, Theory of Atomic Spectra (Cambridge University Press, New York, 1935), 45.

Gotthelf, U.

U. Gotthelf, M.Sc. thesis, Hebrew University of Jerusalem (1960).

King, R. B.

H. N. Russell, R. B. King, and R. J. Lang, Phys. Rev. 52, 456 (1937).

Lang, R. J.

H. N. Russell, R. B. King, and R. J. Lang, Phys. Rev. 52, 456 (1937).

Martin, W. C.

W. C. Martin, J. Opt. Soc. Am. 53, 1047 (1963).

Meggers, W. F.

H. N. Russell and W. F. Meggers, J. Res. Natl. Bur. Std. 9, 625 (1932).

Racah, G.

G. Racah, Phys. Rev. 61, 537 (1942).

G. Racah, Phys. Rev. 62, 438 (1942), Sec. 10.

G. Racah, Phys. Rev. 76, 1352 (1949), Sec. 6.

G. Racah (private communication, 1963).

Runciman, W. A.

W. A. Runciman and B. G. Wybourne, J. Chem. Phys. 31, 1149 (1959).

Russell, H. N.

H. N. Russell and W. F. Meggers, J. Res. Natl. Bur. Std. 9, 625 (1932).

H. N. Russell, R. B. King, and R. J. Lang, Phys. Rev. 52, 456 (1937).

Shortley, G. H.

E. U. Condon and G. H. Shortley, Theory of Atomic Spectra (Cambridge University Press, New York, 1935), 45.

Sugar, J.

J. Sugar, J. Opt. Soc. Am. 55, 33 (1965).

Trees, R. E.

R. E. Trees, J. Opt. Soc. Am. 54, 651 (1964).

Wybourne, B. G.

W. A. Runciman and B. G. Wybourne, J. Chem. Phys. 31, 1149 (1959).

Other (14)

H. N. Russell, R. B. King, and R. J. Lang, Phys. Rev. 52, 456 (1937).

J. Sugar, J. Opt. Soc. Am. 55, 33 (1965).

G. Racah, Phys. Rev. 76, 1352 (1949), Sec. 6.

G. Racah (private communication, 1963).

R. E. Trees, J. Opt. Soc. Am. 54, 651 (1964).

W. A. Runciman and B. G. Wybourne, J. Chem. Phys. 31, 1149 (1959).

The same situation, however, occurs in the isoelectronic spectrum La II. This was pointed out to us by Racah,3 who—by taking into account the perturbation from 1S0 of p2 and the relative width of the corresponding configurations—predicted that the calculated position of 1S0 of f2 in La II would be off by 5000 cm-1. We tend to accept W. C. Martin's suggestion at this point, that the theory is not capable of an extrapolation from 17 421 (the nearest observed level) to 33 000 cm-1. This justifies our discarding of this level from our later calculations.

U. Gotthelf, M.Sc. thesis, Hebrew University of Jerusalem (1960).

H. N. Russell and W. F. Meggers, J. Res. Natl. Bur. Std. 9, 625 (1932).

W. C. Martin, J. Opt. Soc. Am. 53, 1047 (1963).

The formulas in this section can be found in B. Edlén, Atomic spectra, Encyclopedia of Physics, edited by S. Flügge (Springer-Verlag, Heidelberg, 1964), Vol. 27.

G. Racah, Phys. Rev. 61, 537 (1942).

E. U. Condon and G. H. Shortley, Theory of Atomic Spectra (Cambridge University Press, New York, 1935), 45.

G. Racah, Phys. Rev. 62, 438 (1942), Sec. 10.

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