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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 57, Iss. 3 — Mar. 1, 1967
  • pp: 333–335

Even Configurations of La I

J. STEIN  »View Author Affiliations

JOSA, Vol. 57, Issue 3, pp. 333-335 (1967)

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A theoretical calculation of the even configurations 5d 6s2, 5d2 6s, 5d3 of La I is presented, which fits the known energy levels well, and predicts the unknown levels.

J. STEIN, "Even Configurations of La I," J. Opt. Soc. Am. 57, 333-335 (1967)

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  1. W. F. Meggers, J. Res. Natl. Bur. Std. (U.S.) 9, 239 (1932).
  2. H. N. Russell and W. F. Meggers, J. Res. Natl. Bur. Std. (U.S.) 9, 625 (1932).
  3. G. R. Harrison, N. Rosen, and J. R. McNally, Jr., J. Opt. Soc. Am. 35, 658 (1945).
  4. G. Racah (private communication).
  5. Let E be the energy of a certain combination in the range; then the probability of finding exactly N-1 combinations between E and E+t is given by the Poisson formula: [xN-1/(N-1)!]e-x. If this probability is small enough and x/n«1, we may neglect the probability of longer aggregations. This formula gives, therefore, the probability of finding an aggregation with length N or greater, which begins with the combination E; therefore the average number of the fortuitous aggregations is M[xN-1/(N-1)!]e-x. This assumes that the combinations are scattered at random, and= that M»N.
  6. A is the additive parameter defined in the next section.
  7. A. Sommerfeld and W. Heisenberg, Z. Physik 11, 131 (1922).
  8. E. U. Condon and G. H. Shortley, Theory of Atomic Spectra (Cambridge University Press, New York, 1957).
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  10. G. Racah, Bull Res. Council Israel 8, 1 (1959).
  11. S. Amiel, M.Sc. thesis submitted to the Hebrew University of Jerusalem, 1955.

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