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.

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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).
  9. G. Racah, Phys. Rev. 62, 438 (1942).
  10. G. Racah, Bull Res. Council Israel 8, 1 (1959).
  11. S. Amiel, M.Sc. thesis submitted to the Hebrew University of Jerusalem, 1955.

Amiel, S.

S. Amiel, M.Sc. thesis submitted to the Hebrew University of Jerusalem, 1955.

Condon, E. U.

E. U. Condon and G. H. Shortley, Theory of Atomic Spectra (Cambridge University Press, New York, 1957).

Harrison, G. R.

G. R. Harrison, N. Rosen, and J. R. McNally, Jr., J. Opt. Soc. Am. 35, 658 (1945).

Heisenberg, W.

A. Sommerfeld and W. Heisenberg, Z. Physik 11, 131 (1922).

McNally, Jr., J. R.

G. R. Harrison, N. Rosen, and J. R. McNally, Jr., J. Opt. Soc. Am. 35, 658 (1945).

Meggers, W. F.

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

W. F. Meggers, J. Res. Natl. Bur. Std. (U.S.) 9, 239 (1932).

Racah, G.

G. Racah (private communication).

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

G. Racah, Bull Res. Council Israel 8, 1 (1959).

Rosen, N.

G. R. Harrison, N. Rosen, and J. R. McNally, Jr., J. Opt. Soc. Am. 35, 658 (1945).

Russell, H. N.

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

Shortley, G. H.

E. U. Condon and G. H. Shortley, Theory of Atomic Spectra (Cambridge University Press, New York, 1957).

Sommerfeld, A.

A. Sommerfeld and W. Heisenberg, Z. Physik 11, 131 (1922).

Other (11)

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: [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.

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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