Abstract

Multiconfiguration Dirac–Fock (MCDF) calculations are used to interpret the field shift contributions to isotope shifts of Sm I in visible and near-UV transition lines. The investigated lines correspond to the transitions between the ground configuration 4f66s2 and the excited configurations 4f66s6p and 4f55d6s2. For the 6s6p transition the field shift is negative as a result of the reduced 6s electron occupation, whereas for the 4f5d transition the field shift is positive because of the decreased screening of 6s and inner-shell electrons. MCDF calculations for the electron charge density at the origin that include the configuration mixing effect agree well with the electronic factor ratios derived from experimental data with the exception of a few cases of 6s6p transitions.

© 2005 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. S. Choe, Y.-J. Rhee, J. Lee, M. A. Kuzmina, and V. A. Mishin, "Selective photoionization of Yb168 in a three-level atomic medium by the collinear propagation of laser pulses," J. Phys. B 28, 3805-3820 (1995).
    [CrossRef]
  2. S. Bouazza, D. S. Gough, P. Hannaford, R. M. Lowe, and M. Wilson, "Isotope shifts and hyperfine structure in near-ultraviolet transitions of Pb I by Doppler-free saturation spectroscopy," Phys. Rev. A 63, 012516 (2001).
    [CrossRef]
  3. S. Bouazza, D. S. Gough, P. Hannaford, M. Wilson, and C. Lim, "Isotope shift studies in Zr I by Doppler-free saturated absorption spectroscopy and pseudo-relativistic Hartree-Fock calculations: I. Transitions 4d35s-4d25s5p," J. Phys. B 35, 651-662 (2002).
    [CrossRef]
  4. G. Torbohm, B. Fricke, and A. Rosén, "State-dependent volume isotope shifts of low-lying states of group-IIa and -IIb elements," Phys. Rev. A 31, 2038-2053 (1985).
    [CrossRef] [PubMed]
  5. T. Olsson, A. Rosén, B. Fricke, and G. Torbohm, "Analysis of the electronic structure, hyperfine structure, and volume isotope shifts in the low-lying states of Ba I and Ba II," Phys. Scr. 37, 730-741 (1988).
    [CrossRef]
  6. M. Wilson, "Ab initio calculation of core relaxation and screening effects on ∣psi(0)∣2 for Sm and Eu," J. Phys. B 5, 218-228 (1972).
    [CrossRef]
  7. K. T. Cheng and W. J. Childs, "Ab initio calculation of 4fN6s2 hyperfine structure in neutral rare-earth atoms," Phys. Rev. A 31, 2775-2784 (1985).
    [CrossRef] [PubMed]
  8. H. Brand, B. Seibert, and A. Steudel, "Laser-atomic-beam spectroscopy in Sm: isotope shifts and changes in mean-square nuclear charge radii," Z. Phys. A 296, 281-286 (1980).
    [CrossRef]
  9. H. Park, M. Lee, E. C. Jung, J. Yi, Y.-J. Rhee, and J. Lee, "Isotope shifts of Sm I measured by diode-laser-based Doppler-free spectroscopy," J. Opt. Soc. Am. B 16, 1169-1174 (1999).
    [CrossRef]
  10. H. Park, D.-H. Kwon, and Y.-J. Rhee, "High-resolution spectroscopy of Sm I performed with an extended-cavity violet diode laser," J. Opt. Soc. Am. B 21, 1250-1254 (2004).
    [CrossRef]
  11. D. L. Clark, M. E. Cage, D. A. Lewis, and G. W. Greenlees, "Optical isotope shifts and hyperfine splittings for Yb," Phys. Rev. A 20, 239-253 (1979).
    [CrossRef]
  12. W. H. King, Isotope Shifts in Atomic Spectra (Plenum, New York, 1984).
    [CrossRef]
  13. J. P. Desclaux, "Multiconfiguration relativistic Dirac-Fock program," Comput. Phys. Commun. 9, 31-45 (1975).
    [CrossRef]
  14. S. A. Blundell, P. E. G. Baird, C. P. Botham, C. W. P. Palmer, D. N. Stacey, and G. K. Woodgate, "Isotope shift and hyperfine structure for a valence s electron," J. Phys. B 17, 53-63 (1984).
    [CrossRef]
  15. I. I. Sobélman, Introduction to the Theory of Atomic Spectra (Pergamon, Oxford, UK, 1972), pp. 250-259.
  16. C. F. Fischer, The Hartree-Fock Method for Atoms (Wiley, New York, 1977).
  17. H. Brand, B. Nottbeck, H. H. Schulz, and A. Steudel, "Laser-atomic-beam spectroscopy in the samarium I spectrum," J. Phys. B 11, L99-L103 (1978).
    [CrossRef]
  18. W. C. Martin, R. Zalubas, and L. Hagan, Atomic Energy Levels-The Rare-Earth Elements, NBS 60 (National Bureau of Standards, Washington D.C., 1978).

2004 (1)

2002 (1)

S. Bouazza, D. S. Gough, P. Hannaford, M. Wilson, and C. Lim, "Isotope shift studies in Zr I by Doppler-free saturated absorption spectroscopy and pseudo-relativistic Hartree-Fock calculations: I. Transitions 4d35s-4d25s5p," J. Phys. B 35, 651-662 (2002).
[CrossRef]

2001 (1)

S. Bouazza, D. S. Gough, P. Hannaford, R. M. Lowe, and M. Wilson, "Isotope shifts and hyperfine structure in near-ultraviolet transitions of Pb I by Doppler-free saturation spectroscopy," Phys. Rev. A 63, 012516 (2001).
[CrossRef]

1999 (1)

1995 (1)

A. S. Choe, Y.-J. Rhee, J. Lee, M. A. Kuzmina, and V. A. Mishin, "Selective photoionization of Yb168 in a three-level atomic medium by the collinear propagation of laser pulses," J. Phys. B 28, 3805-3820 (1995).
[CrossRef]

1988 (1)

T. Olsson, A. Rosén, B. Fricke, and G. Torbohm, "Analysis of the electronic structure, hyperfine structure, and volume isotope shifts in the low-lying states of Ba I and Ba II," Phys. Scr. 37, 730-741 (1988).
[CrossRef]

1985 (2)

K. T. Cheng and W. J. Childs, "Ab initio calculation of 4fN6s2 hyperfine structure in neutral rare-earth atoms," Phys. Rev. A 31, 2775-2784 (1985).
[CrossRef] [PubMed]

G. Torbohm, B. Fricke, and A. Rosén, "State-dependent volume isotope shifts of low-lying states of group-IIa and -IIb elements," Phys. Rev. A 31, 2038-2053 (1985).
[CrossRef] [PubMed]

1984 (1)

S. A. Blundell, P. E. G. Baird, C. P. Botham, C. W. P. Palmer, D. N. Stacey, and G. K. Woodgate, "Isotope shift and hyperfine structure for a valence s electron," J. Phys. B 17, 53-63 (1984).
[CrossRef]

1980 (1)

H. Brand, B. Seibert, and A. Steudel, "Laser-atomic-beam spectroscopy in Sm: isotope shifts and changes in mean-square nuclear charge radii," Z. Phys. A 296, 281-286 (1980).
[CrossRef]

1979 (1)

D. L. Clark, M. E. Cage, D. A. Lewis, and G. W. Greenlees, "Optical isotope shifts and hyperfine splittings for Yb," Phys. Rev. A 20, 239-253 (1979).
[CrossRef]

1978 (1)

H. Brand, B. Nottbeck, H. H. Schulz, and A. Steudel, "Laser-atomic-beam spectroscopy in the samarium I spectrum," J. Phys. B 11, L99-L103 (1978).
[CrossRef]

1975 (1)

J. P. Desclaux, "Multiconfiguration relativistic Dirac-Fock program," Comput. Phys. Commun. 9, 31-45 (1975).
[CrossRef]

1972 (1)

M. Wilson, "Ab initio calculation of core relaxation and screening effects on ∣psi(0)∣2 for Sm and Eu," J. Phys. B 5, 218-228 (1972).
[CrossRef]

Baird, P. E.

S. A. Blundell, P. E. G. Baird, C. P. Botham, C. W. P. Palmer, D. N. Stacey, and G. K. Woodgate, "Isotope shift and hyperfine structure for a valence s electron," J. Phys. B 17, 53-63 (1984).
[CrossRef]

Blundell, S. A.

S. A. Blundell, P. E. G. Baird, C. P. Botham, C. W. P. Palmer, D. N. Stacey, and G. K. Woodgate, "Isotope shift and hyperfine structure for a valence s electron," J. Phys. B 17, 53-63 (1984).
[CrossRef]

Botham, C. P.

S. A. Blundell, P. E. G. Baird, C. P. Botham, C. W. P. Palmer, D. N. Stacey, and G. K. Woodgate, "Isotope shift and hyperfine structure for a valence s electron," J. Phys. B 17, 53-63 (1984).
[CrossRef]

Bouazza, S.

S. Bouazza, D. S. Gough, P. Hannaford, M. Wilson, and C. Lim, "Isotope shift studies in Zr I by Doppler-free saturated absorption spectroscopy and pseudo-relativistic Hartree-Fock calculations: I. Transitions 4d35s-4d25s5p," J. Phys. B 35, 651-662 (2002).
[CrossRef]

S. Bouazza, D. S. Gough, P. Hannaford, R. M. Lowe, and M. Wilson, "Isotope shifts and hyperfine structure in near-ultraviolet transitions of Pb I by Doppler-free saturation spectroscopy," Phys. Rev. A 63, 012516 (2001).
[CrossRef]

Brand, H.

H. Brand, B. Seibert, and A. Steudel, "Laser-atomic-beam spectroscopy in Sm: isotope shifts and changes in mean-square nuclear charge radii," Z. Phys. A 296, 281-286 (1980).
[CrossRef]

H. Brand, B. Nottbeck, H. H. Schulz, and A. Steudel, "Laser-atomic-beam spectroscopy in the samarium I spectrum," J. Phys. B 11, L99-L103 (1978).
[CrossRef]

Cage, M. E.

D. L. Clark, M. E. Cage, D. A. Lewis, and G. W. Greenlees, "Optical isotope shifts and hyperfine splittings for Yb," Phys. Rev. A 20, 239-253 (1979).
[CrossRef]

Cheng, K. T.

K. T. Cheng and W. J. Childs, "Ab initio calculation of 4fN6s2 hyperfine structure in neutral rare-earth atoms," Phys. Rev. A 31, 2775-2784 (1985).
[CrossRef] [PubMed]

Childs, W. J.

K. T. Cheng and W. J. Childs, "Ab initio calculation of 4fN6s2 hyperfine structure in neutral rare-earth atoms," Phys. Rev. A 31, 2775-2784 (1985).
[CrossRef] [PubMed]

Choe, A. S.

A. S. Choe, Y.-J. Rhee, J. Lee, M. A. Kuzmina, and V. A. Mishin, "Selective photoionization of Yb168 in a three-level atomic medium by the collinear propagation of laser pulses," J. Phys. B 28, 3805-3820 (1995).
[CrossRef]

Clark, D. L.

D. L. Clark, M. E. Cage, D. A. Lewis, and G. W. Greenlees, "Optical isotope shifts and hyperfine splittings for Yb," Phys. Rev. A 20, 239-253 (1979).
[CrossRef]

Desclaux, J. P.

J. P. Desclaux, "Multiconfiguration relativistic Dirac-Fock program," Comput. Phys. Commun. 9, 31-45 (1975).
[CrossRef]

Fischer, C. F.

C. F. Fischer, The Hartree-Fock Method for Atoms (Wiley, New York, 1977).

Fricke, B.

T. Olsson, A. Rosén, B. Fricke, and G. Torbohm, "Analysis of the electronic structure, hyperfine structure, and volume isotope shifts in the low-lying states of Ba I and Ba II," Phys. Scr. 37, 730-741 (1988).
[CrossRef]

G. Torbohm, B. Fricke, and A. Rosén, "State-dependent volume isotope shifts of low-lying states of group-IIa and -IIb elements," Phys. Rev. A 31, 2038-2053 (1985).
[CrossRef] [PubMed]

Gough, D. S.

S. Bouazza, D. S. Gough, P. Hannaford, M. Wilson, and C. Lim, "Isotope shift studies in Zr I by Doppler-free saturated absorption spectroscopy and pseudo-relativistic Hartree-Fock calculations: I. Transitions 4d35s-4d25s5p," J. Phys. B 35, 651-662 (2002).
[CrossRef]

S. Bouazza, D. S. Gough, P. Hannaford, R. M. Lowe, and M. Wilson, "Isotope shifts and hyperfine structure in near-ultraviolet transitions of Pb I by Doppler-free saturation spectroscopy," Phys. Rev. A 63, 012516 (2001).
[CrossRef]

Greenlees, G. W.

D. L. Clark, M. E. Cage, D. A. Lewis, and G. W. Greenlees, "Optical isotope shifts and hyperfine splittings for Yb," Phys. Rev. A 20, 239-253 (1979).
[CrossRef]

Hagan, L.

W. C. Martin, R. Zalubas, and L. Hagan, Atomic Energy Levels-The Rare-Earth Elements, NBS 60 (National Bureau of Standards, Washington D.C., 1978).

Hannaford, P.

S. Bouazza, D. S. Gough, P. Hannaford, M. Wilson, and C. Lim, "Isotope shift studies in Zr I by Doppler-free saturated absorption spectroscopy and pseudo-relativistic Hartree-Fock calculations: I. Transitions 4d35s-4d25s5p," J. Phys. B 35, 651-662 (2002).
[CrossRef]

S. Bouazza, D. S. Gough, P. Hannaford, R. M. Lowe, and M. Wilson, "Isotope shifts and hyperfine structure in near-ultraviolet transitions of Pb I by Doppler-free saturation spectroscopy," Phys. Rev. A 63, 012516 (2001).
[CrossRef]

Jung, E. C.

King, W. H.

W. H. King, Isotope Shifts in Atomic Spectra (Plenum, New York, 1984).
[CrossRef]

Kuzmina, M. A.

A. S. Choe, Y.-J. Rhee, J. Lee, M. A. Kuzmina, and V. A. Mishin, "Selective photoionization of Yb168 in a three-level atomic medium by the collinear propagation of laser pulses," J. Phys. B 28, 3805-3820 (1995).
[CrossRef]

Kwon, D.-H.

Lee, J.

H. Park, M. Lee, E. C. Jung, J. Yi, Y.-J. Rhee, and J. Lee, "Isotope shifts of Sm I measured by diode-laser-based Doppler-free spectroscopy," J. Opt. Soc. Am. B 16, 1169-1174 (1999).
[CrossRef]

A. S. Choe, Y.-J. Rhee, J. Lee, M. A. Kuzmina, and V. A. Mishin, "Selective photoionization of Yb168 in a three-level atomic medium by the collinear propagation of laser pulses," J. Phys. B 28, 3805-3820 (1995).
[CrossRef]

Lee, M.

Lewis, D. A.

D. L. Clark, M. E. Cage, D. A. Lewis, and G. W. Greenlees, "Optical isotope shifts and hyperfine splittings for Yb," Phys. Rev. A 20, 239-253 (1979).
[CrossRef]

Lim, C.

S. Bouazza, D. S. Gough, P. Hannaford, M. Wilson, and C. Lim, "Isotope shift studies in Zr I by Doppler-free saturated absorption spectroscopy and pseudo-relativistic Hartree-Fock calculations: I. Transitions 4d35s-4d25s5p," J. Phys. B 35, 651-662 (2002).
[CrossRef]

Lowe, R. M.

S. Bouazza, D. S. Gough, P. Hannaford, R. M. Lowe, and M. Wilson, "Isotope shifts and hyperfine structure in near-ultraviolet transitions of Pb I by Doppler-free saturation spectroscopy," Phys. Rev. A 63, 012516 (2001).
[CrossRef]

Martin, W. C.

W. C. Martin, R. Zalubas, and L. Hagan, Atomic Energy Levels-The Rare-Earth Elements, NBS 60 (National Bureau of Standards, Washington D.C., 1978).

Mishin, V. A.

A. S. Choe, Y.-J. Rhee, J. Lee, M. A. Kuzmina, and V. A. Mishin, "Selective photoionization of Yb168 in a three-level atomic medium by the collinear propagation of laser pulses," J. Phys. B 28, 3805-3820 (1995).
[CrossRef]

Nottbeck, B.

H. Brand, B. Nottbeck, H. H. Schulz, and A. Steudel, "Laser-atomic-beam spectroscopy in the samarium I spectrum," J. Phys. B 11, L99-L103 (1978).
[CrossRef]

Olsson, T.

T. Olsson, A. Rosén, B. Fricke, and G. Torbohm, "Analysis of the electronic structure, hyperfine structure, and volume isotope shifts in the low-lying states of Ba I and Ba II," Phys. Scr. 37, 730-741 (1988).
[CrossRef]

Palmer, C. W.

S. A. Blundell, P. E. G. Baird, C. P. Botham, C. W. P. Palmer, D. N. Stacey, and G. K. Woodgate, "Isotope shift and hyperfine structure for a valence s electron," J. Phys. B 17, 53-63 (1984).
[CrossRef]

Park, H.

Rhee, Y.-J.

Rosén, A.

T. Olsson, A. Rosén, B. Fricke, and G. Torbohm, "Analysis of the electronic structure, hyperfine structure, and volume isotope shifts in the low-lying states of Ba I and Ba II," Phys. Scr. 37, 730-741 (1988).
[CrossRef]

G. Torbohm, B. Fricke, and A. Rosén, "State-dependent volume isotope shifts of low-lying states of group-IIa and -IIb elements," Phys. Rev. A 31, 2038-2053 (1985).
[CrossRef] [PubMed]

Schulz, H. H.

H. Brand, B. Nottbeck, H. H. Schulz, and A. Steudel, "Laser-atomic-beam spectroscopy in the samarium I spectrum," J. Phys. B 11, L99-L103 (1978).
[CrossRef]

Seibert, B.

H. Brand, B. Seibert, and A. Steudel, "Laser-atomic-beam spectroscopy in Sm: isotope shifts and changes in mean-square nuclear charge radii," Z. Phys. A 296, 281-286 (1980).
[CrossRef]

Sobélman, I. I.

I. I. Sobélman, Introduction to the Theory of Atomic Spectra (Pergamon, Oxford, UK, 1972), pp. 250-259.

Stacey, D. N.

S. A. Blundell, P. E. G. Baird, C. P. Botham, C. W. P. Palmer, D. N. Stacey, and G. K. Woodgate, "Isotope shift and hyperfine structure for a valence s electron," J. Phys. B 17, 53-63 (1984).
[CrossRef]

Steudel, A.

H. Brand, B. Seibert, and A. Steudel, "Laser-atomic-beam spectroscopy in Sm: isotope shifts and changes in mean-square nuclear charge radii," Z. Phys. A 296, 281-286 (1980).
[CrossRef]

H. Brand, B. Nottbeck, H. H. Schulz, and A. Steudel, "Laser-atomic-beam spectroscopy in the samarium I spectrum," J. Phys. B 11, L99-L103 (1978).
[CrossRef]

Torbohm, G.

T. Olsson, A. Rosén, B. Fricke, and G. Torbohm, "Analysis of the electronic structure, hyperfine structure, and volume isotope shifts in the low-lying states of Ba I and Ba II," Phys. Scr. 37, 730-741 (1988).
[CrossRef]

G. Torbohm, B. Fricke, and A. Rosén, "State-dependent volume isotope shifts of low-lying states of group-IIa and -IIb elements," Phys. Rev. A 31, 2038-2053 (1985).
[CrossRef] [PubMed]

Wilson, M.

S. Bouazza, D. S. Gough, P. Hannaford, M. Wilson, and C. Lim, "Isotope shift studies in Zr I by Doppler-free saturated absorption spectroscopy and pseudo-relativistic Hartree-Fock calculations: I. Transitions 4d35s-4d25s5p," J. Phys. B 35, 651-662 (2002).
[CrossRef]

S. Bouazza, D. S. Gough, P. Hannaford, R. M. Lowe, and M. Wilson, "Isotope shifts and hyperfine structure in near-ultraviolet transitions of Pb I by Doppler-free saturation spectroscopy," Phys. Rev. A 63, 012516 (2001).
[CrossRef]

M. Wilson, "Ab initio calculation of core relaxation and screening effects on ∣psi(0)∣2 for Sm and Eu," J. Phys. B 5, 218-228 (1972).
[CrossRef]

Woodgate, G. K.

S. A. Blundell, P. E. G. Baird, C. P. Botham, C. W. P. Palmer, D. N. Stacey, and G. K. Woodgate, "Isotope shift and hyperfine structure for a valence s electron," J. Phys. B 17, 53-63 (1984).
[CrossRef]

Yi, J.

Zalubas, R.

W. C. Martin, R. Zalubas, and L. Hagan, Atomic Energy Levels-The Rare-Earth Elements, NBS 60 (National Bureau of Standards, Washington D.C., 1978).

Comput. Phys. Commun. (1)

J. P. Desclaux, "Multiconfiguration relativistic Dirac-Fock program," Comput. Phys. Commun. 9, 31-45 (1975).
[CrossRef]

J. Opt. Soc. Am. B (2)

J. Phys. B (5)

A. S. Choe, Y.-J. Rhee, J. Lee, M. A. Kuzmina, and V. A. Mishin, "Selective photoionization of Yb168 in a three-level atomic medium by the collinear propagation of laser pulses," J. Phys. B 28, 3805-3820 (1995).
[CrossRef]

S. Bouazza, D. S. Gough, P. Hannaford, M. Wilson, and C. Lim, "Isotope shift studies in Zr I by Doppler-free saturated absorption spectroscopy and pseudo-relativistic Hartree-Fock calculations: I. Transitions 4d35s-4d25s5p," J. Phys. B 35, 651-662 (2002).
[CrossRef]

S. A. Blundell, P. E. G. Baird, C. P. Botham, C. W. P. Palmer, D. N. Stacey, and G. K. Woodgate, "Isotope shift and hyperfine structure for a valence s electron," J. Phys. B 17, 53-63 (1984).
[CrossRef]

M. Wilson, "Ab initio calculation of core relaxation and screening effects on ∣psi(0)∣2 for Sm and Eu," J. Phys. B 5, 218-228 (1972).
[CrossRef]

H. Brand, B. Nottbeck, H. H. Schulz, and A. Steudel, "Laser-atomic-beam spectroscopy in the samarium I spectrum," J. Phys. B 11, L99-L103 (1978).
[CrossRef]

Phys. Rev. A (4)

K. T. Cheng and W. J. Childs, "Ab initio calculation of 4fN6s2 hyperfine structure in neutral rare-earth atoms," Phys. Rev. A 31, 2775-2784 (1985).
[CrossRef] [PubMed]

G. Torbohm, B. Fricke, and A. Rosén, "State-dependent volume isotope shifts of low-lying states of group-IIa and -IIb elements," Phys. Rev. A 31, 2038-2053 (1985).
[CrossRef] [PubMed]

S. Bouazza, D. S. Gough, P. Hannaford, R. M. Lowe, and M. Wilson, "Isotope shifts and hyperfine structure in near-ultraviolet transitions of Pb I by Doppler-free saturation spectroscopy," Phys. Rev. A 63, 012516 (2001).
[CrossRef]

D. L. Clark, M. E. Cage, D. A. Lewis, and G. W. Greenlees, "Optical isotope shifts and hyperfine splittings for Yb," Phys. Rev. A 20, 239-253 (1979).
[CrossRef]

Phys. Scr. (1)

T. Olsson, A. Rosén, B. Fricke, and G. Torbohm, "Analysis of the electronic structure, hyperfine structure, and volume isotope shifts in the low-lying states of Ba I and Ba II," Phys. Scr. 37, 730-741 (1988).
[CrossRef]

Z. Phys. A (1)

H. Brand, B. Seibert, and A. Steudel, "Laser-atomic-beam spectroscopy in Sm: isotope shifts and changes in mean-square nuclear charge radii," Z. Phys. A 296, 281-286 (1980).
[CrossRef]

Other (4)

W. C. Martin, R. Zalubas, and L. Hagan, Atomic Energy Levels-The Rare-Earth Elements, NBS 60 (National Bureau of Standards, Washington D.C., 1978).

I. I. Sobélman, Introduction to the Theory of Atomic Spectra (Pergamon, Oxford, UK, 1972), pp. 250-259.

C. F. Fischer, The Hartree-Fock Method for Atoms (Wiley, New York, 1977).

W. H. King, Isotope Shifts in Atomic Spectra (Plenum, New York, 1984).
[CrossRef]

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (2)

Fig. 1
Fig. 1

Diagram of the studied transitions of Sm I including energy-level schemes. The measured isotope shifts come from the references a Park et al.,[9] b Brand et al.,[8] and c Park et al.[10]

Fig. 2
Fig. 2

King plot lines of the studied transitions of the wavelengths: open square, 672.59 nm; open circle, 591.64 nm; open triangle, 587.42 nm; open inverse triangle, 570.68 nm; open diamond, 562.60 nm; closed square, 562.18 nm; closed circle, 599.51 nm; closed triangle, 580.28 nm; closed inverse triangle, 565.99 nm; closed diamond, 399.00 nm. The open circle and open triangle are nearly overlapped. The closed triangle is very close to the closed inverse triangle.

Tables (4)

Tables Icon

Table 1 MCDF Values of 4 π Ψ ( 0 ) 2 by a Single Configuration (in atomic units)

Tables Icon

Table 2 Configuration Mixings and the Total Electron Charge Densities Estimated by MCDF Calculations of the Upper Levels

Tables Icon

Table 3 MCDF Values of 4 π Ψ ( 0 ) 2 by the EAL Calculation (in atomic units)

Tables Icon

Table 4 Comparison of Experimental Electronic Factor Ratios with MCDF Estimates a

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

ν FS = π Δ Ψ ( 0 ) 2 f ( Z ) a 0 3 Z δ r 2 ,
= E f ( Z ) δ r 2 ,
4 π Ψ ( 0 ) 2 = 4 σ ( 1 4 σ 2 ) 3 ( 1 δ ) m c 0 P n s Q n s r 2 dr ,
δ ν i A 1 A 2 = F i λ A 1 A 2 + ( A 2 A 1 A 1 A 2 ) ( ν i + M i ) ,
ξ i A 1 A 2 = ( F i F j ) ξ j A 1 A 2 + ( M i M j F i F j ) .

Metrics