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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 8, Iss. 2 — Feb. 1, 1924
  • pp: 213–228

QUANTUM DEFECT AND THE NEW BOHR THEORY OF ATOMIC STRUCTURE

F. S. BRACKETT and RAYMOND T. BIRGE

JOSA, Vol. 8, Issue 2, pp. 213-228 (1924)
http://dx.doi.org/10.1364/JOSA.8.000213


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Citation
F. S. BRACKETT and RAYMOND T. BIRGE, "QUANTUM DEFECT AND THE NEW BOHR THEORY OF ATOMIC STRUCTURE," J. Opt. Soc. Am. 8, 213-228 (1924)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-8-2-213


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References

  1. Presented at the Washington meeting of the American Physical Society, April, 1923.
  2. See Fig. 1, page 22, Foote and Mohler "Origin of Spectra."
  3. ZS. f. Physik, 12, p. 342; 1923.
  4. Enhanced series are not discussed in this paper.
  5. loc. cit.
  6. The assignment of quantum numbers used in this article was made in March 1923, and the diagrams were shown at the April 1923 meeting of the American Physical Society. At that time the only published article by Bohr on this subject was that in the ZS. f. Physik, 9, p. 1; 1922. In that article the quantum designations of only a few terms were given explicitly. We however had available a typewritten copy of Bohr's 1922 Göttingen lectures, in which the question is discussed more fully, and also prints of lantern slides used by Bohr in his European lectures. According to the latter, Bohr had made no assignment of any of the triplet terms, nor of the terms of the oxygen group. In the case of the sub 3 levels of Cu, Ga, Rb, Ag, In, Cs, Zn, and Cd, we were not in agreement with Bohr's assignment, as noted in Table 1, and discussed later in this article. As this paper was about to be sent for publication, we received a copy of Bohr's paper, Ann. d. Physik 71, p. 228; 1923, in which occur diagrams similar to those of the lantern slides just mentioned. The new diagrams are however more complete, in that the triplet terms of Mg, Ca, Sr, Ba, Zn, Cd and Hg, are assigned quantum designations. These are in agreement with our assignment, except in the same instances as noted for the singlets. Furthermore, Bohr has designated the initial sub 2 level for Cu, Ag, Zn, and Cd, as 22, which is not in agreement with our assignment, nor with our previous information as to Bohr's assignments. All of these discrepancies are noted in the Table, and will be discussed later.
  7. The term designations used in this and in the following articles are those of Table 1, and so do not agree with Fowler in the case of certain D, d, and F terms.
  8. The sub three points for larger values of n show greater divergence from the curves than do those for smaller values. This may be due to the greater penetration of the former orbits, in analogy to hydrogen. Thus in hydrogen the perihelion distance of the 33, 43, 53, 63, and 73, orbits is 9.00, 5.42, 5.00, 4.82, and 4.73 respectively.
  9. With the exception of the sub one term, which is always single.
  10. See Fowler's Report, p. 111.

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