The Effects of Configuration Interaction on the Atomic Hyperfine Structure of Gallium

G. F. Koster

doi:10.1103/PhysRev.86.148

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The Effects of Configuration Interaction on the Atomic Hyperfine Structure of Gallium

G. F. Koster^*

Physics Department, Massachusetts Institute of Technology, Cambridge, Massachusetts

^*Present address: Brookhaven National Laboratory, Upton, New York.

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Phys. Rev. 86, 148 – Published 15 April, 1952

DOI: https://doi.org/10.1103/PhysRev.86.148

Abstract

The effects on the hyperfine structure of the mixing of higher configurations with the ground configuration ${(4 s)}^{2} 4 p$ of gallium is studied. It is found that the only configuration which need be considered is the $4 s 4 p 5 s$ . A Hartree wave function for the excited $5 s$ -state of gallium is calculated, and the extent of the mixing of this excited configuration with the ground configuration is determined. The coupling constants for magnetic and electric quadrupole hyperfine structure are computed with the use of the wave function for the ground state of gallium including the excited configuration. The determination of quadrupole moments from atomic hyperfine structure measurements is discussed and various methods of making this calculation compared. Beside the determination of the quadrupole moments of gallium, the quadrupole moments of aluminum, indium, and chlorine are estimated.

References (15)

H. Kopfermann, Kernmomente (Akademische Verlagsgesellschaft M.B.H., Leipzig, 1940), Chapter I
H. B. G. Casimir, On the Interaction between Atomic Nuclei and Electrons (Teylers Tweede Genootschap, Haarlem, 1936)
Davis, Feld, Zabel, and Zacharias, Phys. Rev. 76, 1076 (1949)
E. Fermi and E. Segrè, Rendiconti della R. Academia d'Italia 4, 18 (1933-XI) Z. Physik 82, 729 (1933)
D. R. Hartree, Reports on Progress in Physics 11, 113 (1946-1947)
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J. C. Slater, Phys. Rev. 36, 57 (1930)
E. Fermi, Z. Physik 60, 320 (1930)
L. I. Schiff, Quantum Mechanics (McGraw-Hill Book Company, Inc., New York, 1949)
C. G. Darwin, Proc. Roy. Soc. (London) 118, 654 (1928)
E. U. Condon and G. H. Shortley, Theory of Atomic Spectra (Cambridge University Press, London, 1935)
N. A. Renzetti, Phys. Rev. 57, 753 (1940)
G. E. Becker and P. Kusch, Phys. Rev. 73, 584 (1948)
J. E. Mack, Revs. Modern Phys. 22, 64 (1950)
R. Sternheimer, Phys. Rev. 84, 244 (1951) ibid.80, 102 (1950)

[c1] H. Kopfermann, Kernmomente (Akademische Verlagsgesellschaft M.B.H., Leipzig, 1940), Chapter I

[c2] H. B. G. Casimir, On the Interaction between Atomic Nuclei and Electrons (Teylers Tweede Genootschap, Haarlem, 1936)

[c3] Davis, Feld, Zabel, and Zacharias, Phys. Rev. 76, 1076 (1949)

[c4] E. Fermi and E. Segrè, Rendiconti della R. Academia d'Italia 4, 18 (1933-XI) Z. Physik 82, 729 (1933)

[c5] D. R. Hartree, Reports on Progress in Physics 11, 113 (1946-1947)

[c6] Hartree, Hartree, and Manning, Phys. Rev. 59, 299 (1941)

[c7] J. C. Slater, Phys. Rev. 36, 57 (1930)

[c8] E. Fermi, Z. Physik 60, 320 (1930)

[c9] L. I. Schiff, Quantum Mechanics (McGraw-Hill Book Company, Inc., New York, 1949)

[c10] C. G. Darwin, Proc. Roy. Soc. (London) 118, 654 (1928)

[c11] E. U. Condon and G. H. Shortley, Theory of Atomic Spectra (Cambridge University Press, London, 1935)

[c12] N. A. Renzetti, Phys. Rev. 57, 753 (1940)

[c13] G. E. Becker and P. Kusch, Phys. Rev. 73, 584 (1948)

[c14] J. E. Mack, Revs. Modern Phys. 22, 64 (1950)

[c15] R. Sternheimer, Phys. Rev. 84, 244 (1951) ibid.80, 102 (1950)

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The Effects of Configuration Interaction on the Atomic Hyperfine Structure of Gallium

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