Even Configurations of La I
JOSA, Vol. 57, Issue 3, pp. 333-335 (1967)
http://dx.doi.org/10.1364/JOSA.57.000333
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Abstract
A theoretical calculation of the even configurations 5<i>d</i> 6<i>s</i><sup>2</sup>, 5<i>d</i><sup>2</sup> 6<i>s</i>, 5<i>d</i><sup>3</sup> of La I is presented, which fits the known energy levels well, and predicts the unknown levels.
Citation
J. STEIN, "Even Configurations of La I," J. Opt. Soc. Am. 57, 333-335 (1967)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-57-3-333
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References
- W. F. Meggers, J. Res. Natl. Bur. Std. (U.S.) 9, 239 (1932).
- H. N. Russell and W. F. Meggers, J. Res. Natl. Bur. Std. (U.S.) 9, 625 (1932).
- G. R. Harrison, N. Rosen, and J. R. McNally, Jr., J. Opt. Soc. Am. 35, 658 (1945).
- G. Racah (private communication).
- 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: [x^{N-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[x^{N-1}/(N-1)!]e^{-x}. This assumes that the combinations are scattered at random, and= that M»N.
- A is the additive parameter defined in the next section.
- A. Sommerfeld and W. Heisenberg, Z. Physik 11, 131 (1922).
- E. U. Condon and G. H. Shortley, Theory of Atomic Spectra (Cambridge University Press, New York, 1957).
- G. Racah, Phys. Rev. 62, 438 (1942).
- G. Racah, Bull Res. Council Israel 8, 1 (1959).
- S. Amiel, M.Sc. thesis submitted to the Hebrew University of Jerusalem, 1955.
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