Abstract

A number of cancellation anomalies in lifetimes and emitted intensities in the Cu isoelectronic sequence are predicted, and their use as an experimental probe of small perturbations is discussed.

© 1981 Optical Society of America

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References

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  1. L. J. Curtis and D. G. Ellis, “A formula for cancellation disappearances of atomic oscillator strengths,” J. Phys. B 11, L543–L546 (1978).
    [Crossref]
  2. L. J. Curtis and D. G. Ellis, “Cancellations in transition probabilities of the K i isoelectronic sequence,” J. Phys. B 13, L431–L435 (1980).
    [Crossref]
  3. Y. N. Joshi and Th. A. M. van Kleef, “The sixth spectrum of selenium: Se vi,” Physica 94C, 270–274 (1978).
  4. A. E. Livingston and S. J. Hinterlong, “Spectrum of Br vii,” Phys. Rev. A 23, 758–760 (1981).
    [Crossref]
  5. A. E. Livingston and et al., “Energies and lifetimes of excited states in copperlike Kr viii,” Phys. Rev. A 21, 771–781 (1980).
    [Crossref]
  6. N. Acquista and J. Reader, “Spectrum and energy levels of nine-times ionized strontium (Sr x),” J. Opt. Soc. Am. 71, 569–573 (1981).
    [Crossref]
  7. J. Reader and N. Acquista, “4s–4p resonance transitions in highly charged Cu- and Zn-like ions,” Phys. Rev. Lett. 39, 184–187 (1977).
    [Crossref]
  8. J. Reader and N. Acquista, “Spectrum and energy levels of ten-times ionized yttrium (Y xi),” J. Opt. Soc. Am. 69, 1285–1288 (1979).
    [Crossref]
  9. J. Reader and N. Acquista, “Spectrum and energy levels of eleven-times ionized zirconium (Zr xii),” J. Opt. Soc. Am. 69, 1659–1662 (1979).
    [Crossref]
  10. J. Reader and N. Acquista, “Spectrum and energy levels of twelve-times ionized niobium (Nb xiii),” J. Opt. Soc. Am. 70, 317–321 (1980).
    [Crossref]
  11. J. Reader, G. Luther, and N. Acquista, “Spectrum and energy levels of thirteen-times ionized molybdenum (Mo xiv),” J. Opt. Soc. Am. 69, 144–149 (1979).
    [Crossref]
  12. J. Reader and G. Luther, “Spectra of very highly charged Cu- and Zn-like ions,” Phys. Rev. Lett. 45, 609–613 (1980).
    [Crossref]
  13. A. Burgess and M. J. Seaton, “A general formula for the calculation of atomic photo-ionization cross sections,” Mon. Not. R. Astron. Soc. 120, 121–151 (1960).
  14. G. Peach, “A revised general formula for the calculation of atomic photoionization cross sections,” Mem. R. Astron. Soc. 71, 13–27 (1967).
  15. A. Lindgård and et al., “Semi-empirical oscillator strengths for the Cu i isoelectronic sequence,” Phys. Scr. 21, 47–62 (1980).
    [Crossref]
  16. K. -T. Cheng and Y. -K. Kim, “Energy levels, wavelengths, and transition probabilities of Cu-like ions,” At. Data Nucl. Data Tables 22, 547–563 (1978).
    [Crossref]
  17. K. -T. Cheng, Argonne National Laboratory, Argonne, Ill., personal communication.
  18. J. Reader, National Bureau of Standards, Washington, D.C., personal communication.
  19. C. Froese Fischer, “A general multi-configuration Hartree–Fock program,” Comput. Phys. Commun. 14, 145–153 (1978).
    [Crossref]
  20. I. B. Bersuker, “Effect of the core on transitions of optical electrons,” Opt. Spektrosk. 3, 97–103 (1957).
  21. S. Hameed, A. Herzenberg, and M. G. James, “Core polarization corrections to oscillator strengths in the alkali atoms,” J. Phys. B 1, 822–830 (1968).
    [Crossref]
  22. B. Edlén, “Atomic spectra,” in Handbuch der Physik, Vol XXVII, S. Flügge, ed. (Springer-Verlag, Berlin, 1964), pp. 125–129.
  23. W. C. Martin and J. Sugar, “Perturbations and coupling in the d9sp configurations of Cu i, Zn ii, Ag i, Cd ii, and Tl iii,” J. Opt. Soc. Am. 59, 1266–1280 (1969).
    [Crossref]

1981 (2)

1980 (5)

A. E. Livingston and et al., “Energies and lifetimes of excited states in copperlike Kr viii,” Phys. Rev. A 21, 771–781 (1980).
[Crossref]

L. J. Curtis and D. G. Ellis, “Cancellations in transition probabilities of the K i isoelectronic sequence,” J. Phys. B 13, L431–L435 (1980).
[Crossref]

J. Reader and N. Acquista, “Spectrum and energy levels of twelve-times ionized niobium (Nb xiii),” J. Opt. Soc. Am. 70, 317–321 (1980).
[Crossref]

J. Reader and G. Luther, “Spectra of very highly charged Cu- and Zn-like ions,” Phys. Rev. Lett. 45, 609–613 (1980).
[Crossref]

A. Lindgård and et al., “Semi-empirical oscillator strengths for the Cu i isoelectronic sequence,” Phys. Scr. 21, 47–62 (1980).
[Crossref]

1979 (3)

1978 (4)

Y. N. Joshi and Th. A. M. van Kleef, “The sixth spectrum of selenium: Se vi,” Physica 94C, 270–274 (1978).

K. -T. Cheng and Y. -K. Kim, “Energy levels, wavelengths, and transition probabilities of Cu-like ions,” At. Data Nucl. Data Tables 22, 547–563 (1978).
[Crossref]

C. Froese Fischer, “A general multi-configuration Hartree–Fock program,” Comput. Phys. Commun. 14, 145–153 (1978).
[Crossref]

L. J. Curtis and D. G. Ellis, “A formula for cancellation disappearances of atomic oscillator strengths,” J. Phys. B 11, L543–L546 (1978).
[Crossref]

1977 (1)

J. Reader and N. Acquista, “4s–4p resonance transitions in highly charged Cu- and Zn-like ions,” Phys. Rev. Lett. 39, 184–187 (1977).
[Crossref]

1969 (1)

1968 (1)

S. Hameed, A. Herzenberg, and M. G. James, “Core polarization corrections to oscillator strengths in the alkali atoms,” J. Phys. B 1, 822–830 (1968).
[Crossref]

1967 (1)

G. Peach, “A revised general formula for the calculation of atomic photoionization cross sections,” Mem. R. Astron. Soc. 71, 13–27 (1967).

1960 (1)

A. Burgess and M. J. Seaton, “A general formula for the calculation of atomic photo-ionization cross sections,” Mon. Not. R. Astron. Soc. 120, 121–151 (1960).

1957 (1)

I. B. Bersuker, “Effect of the core on transitions of optical electrons,” Opt. Spektrosk. 3, 97–103 (1957).

Acquista, N.

Bersuker, I. B.

I. B. Bersuker, “Effect of the core on transitions of optical electrons,” Opt. Spektrosk. 3, 97–103 (1957).

Burgess, A.

A. Burgess and M. J. Seaton, “A general formula for the calculation of atomic photo-ionization cross sections,” Mon. Not. R. Astron. Soc. 120, 121–151 (1960).

Cheng, K. -T.

K. -T. Cheng and Y. -K. Kim, “Energy levels, wavelengths, and transition probabilities of Cu-like ions,” At. Data Nucl. Data Tables 22, 547–563 (1978).
[Crossref]

K. -T. Cheng, Argonne National Laboratory, Argonne, Ill., personal communication.

Curtis, L. J.

L. J. Curtis and D. G. Ellis, “Cancellations in transition probabilities of the K i isoelectronic sequence,” J. Phys. B 13, L431–L435 (1980).
[Crossref]

L. J. Curtis and D. G. Ellis, “A formula for cancellation disappearances of atomic oscillator strengths,” J. Phys. B 11, L543–L546 (1978).
[Crossref]

Edlén, B.

B. Edlén, “Atomic spectra,” in Handbuch der Physik, Vol XXVII, S. Flügge, ed. (Springer-Verlag, Berlin, 1964), pp. 125–129.

Ellis, D. G.

L. J. Curtis and D. G. Ellis, “Cancellations in transition probabilities of the K i isoelectronic sequence,” J. Phys. B 13, L431–L435 (1980).
[Crossref]

L. J. Curtis and D. G. Ellis, “A formula for cancellation disappearances of atomic oscillator strengths,” J. Phys. B 11, L543–L546 (1978).
[Crossref]

Froese Fischer, C.

C. Froese Fischer, “A general multi-configuration Hartree–Fock program,” Comput. Phys. Commun. 14, 145–153 (1978).
[Crossref]

Hameed, S.

S. Hameed, A. Herzenberg, and M. G. James, “Core polarization corrections to oscillator strengths in the alkali atoms,” J. Phys. B 1, 822–830 (1968).
[Crossref]

Herzenberg, A.

S. Hameed, A. Herzenberg, and M. G. James, “Core polarization corrections to oscillator strengths in the alkali atoms,” J. Phys. B 1, 822–830 (1968).
[Crossref]

Hinterlong, S. J.

A. E. Livingston and S. J. Hinterlong, “Spectrum of Br vii,” Phys. Rev. A 23, 758–760 (1981).
[Crossref]

James, M. G.

S. Hameed, A. Herzenberg, and M. G. James, “Core polarization corrections to oscillator strengths in the alkali atoms,” J. Phys. B 1, 822–830 (1968).
[Crossref]

Joshi, Y. N.

Y. N. Joshi and Th. A. M. van Kleef, “The sixth spectrum of selenium: Se vi,” Physica 94C, 270–274 (1978).

Kim, Y. -K.

K. -T. Cheng and Y. -K. Kim, “Energy levels, wavelengths, and transition probabilities of Cu-like ions,” At. Data Nucl. Data Tables 22, 547–563 (1978).
[Crossref]

Lindgård, A.

A. Lindgård and et al., “Semi-empirical oscillator strengths for the Cu i isoelectronic sequence,” Phys. Scr. 21, 47–62 (1980).
[Crossref]

Livingston, A. E.

A. E. Livingston and S. J. Hinterlong, “Spectrum of Br vii,” Phys. Rev. A 23, 758–760 (1981).
[Crossref]

A. E. Livingston and et al., “Energies and lifetimes of excited states in copperlike Kr viii,” Phys. Rev. A 21, 771–781 (1980).
[Crossref]

Luther, G.

J. Reader and G. Luther, “Spectra of very highly charged Cu- and Zn-like ions,” Phys. Rev. Lett. 45, 609–613 (1980).
[Crossref]

J. Reader, G. Luther, and N. Acquista, “Spectrum and energy levels of thirteen-times ionized molybdenum (Mo xiv),” J. Opt. Soc. Am. 69, 144–149 (1979).
[Crossref]

Martin, W. C.

Peach, G.

G. Peach, “A revised general formula for the calculation of atomic photoionization cross sections,” Mem. R. Astron. Soc. 71, 13–27 (1967).

Reader, J.

Seaton, M. J.

A. Burgess and M. J. Seaton, “A general formula for the calculation of atomic photo-ionization cross sections,” Mon. Not. R. Astron. Soc. 120, 121–151 (1960).

Sugar, J.

van Kleef, Th. A. M.

Y. N. Joshi and Th. A. M. van Kleef, “The sixth spectrum of selenium: Se vi,” Physica 94C, 270–274 (1978).

At. Data Nucl. Data Tables (1)

K. -T. Cheng and Y. -K. Kim, “Energy levels, wavelengths, and transition probabilities of Cu-like ions,” At. Data Nucl. Data Tables 22, 547–563 (1978).
[Crossref]

Comput. Phys. Commun. (1)

C. Froese Fischer, “A general multi-configuration Hartree–Fock program,” Comput. Phys. Commun. 14, 145–153 (1978).
[Crossref]

J. Opt. Soc. Am. (6)

J. Phys. B (3)

S. Hameed, A. Herzenberg, and M. G. James, “Core polarization corrections to oscillator strengths in the alkali atoms,” J. Phys. B 1, 822–830 (1968).
[Crossref]

L. J. Curtis and D. G. Ellis, “A formula for cancellation disappearances of atomic oscillator strengths,” J. Phys. B 11, L543–L546 (1978).
[Crossref]

L. J. Curtis and D. G. Ellis, “Cancellations in transition probabilities of the K i isoelectronic sequence,” J. Phys. B 13, L431–L435 (1980).
[Crossref]

Mem. R. Astron. Soc. (1)

G. Peach, “A revised general formula for the calculation of atomic photoionization cross sections,” Mem. R. Astron. Soc. 71, 13–27 (1967).

Mon. Not. R. Astron. Soc. (1)

A. Burgess and M. J. Seaton, “A general formula for the calculation of atomic photo-ionization cross sections,” Mon. Not. R. Astron. Soc. 120, 121–151 (1960).

Opt. Spektrosk. (1)

I. B. Bersuker, “Effect of the core on transitions of optical electrons,” Opt. Spektrosk. 3, 97–103 (1957).

Phys. Rev. A (2)

A. E. Livingston and S. J. Hinterlong, “Spectrum of Br vii,” Phys. Rev. A 23, 758–760 (1981).
[Crossref]

A. E. Livingston and et al., “Energies and lifetimes of excited states in copperlike Kr viii,” Phys. Rev. A 21, 771–781 (1980).
[Crossref]

Phys. Rev. Lett. (2)

J. Reader and G. Luther, “Spectra of very highly charged Cu- and Zn-like ions,” Phys. Rev. Lett. 45, 609–613 (1980).
[Crossref]

J. Reader and N. Acquista, “4s–4p resonance transitions in highly charged Cu- and Zn-like ions,” Phys. Rev. Lett. 39, 184–187 (1977).
[Crossref]

Phys. Scr. (1)

A. Lindgård and et al., “Semi-empirical oscillator strengths for the Cu i isoelectronic sequence,” Phys. Scr. 21, 47–62 (1980).
[Crossref]

Physica (1)

Y. N. Joshi and Th. A. M. van Kleef, “The sixth spectrum of selenium: Se vi,” Physica 94C, 270–274 (1978).

Other (3)

K. -T. Cheng, Argonne National Laboratory, Argonne, Ill., personal communication.

J. Reader, National Bureau of Standards, Washington, D.C., personal communication.

B. Edlén, “Atomic spectra,” in Handbuch der Physik, Vol XXVII, S. Flügge, ed. (Springer-Verlag, Berlin, 1964), pp. 125–129.

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Figures (4)

Fig. 1
Fig. 1

Plot of n d * versus n f *. The empirical values are indicated for each Rydberg transition by an isoelectronically connected locus, marked with a vertical line at each ion from Cu i to Mo xiv (enlarged for As v and Sr x to guide the eye). The curves represent the computed cancellation nodes.

Fig. 2
Fig. 2

Plot of n p * versus n d * in the vicinity of the cancellation in Kr viii. Solid circles, 2P1/22D3/2; solid squares, 2P3/22D3/2; open circles, 2P3/22D5/2. Both the experimental values (Ref. 5) and the DHF values (Refs. 16 and 17) are given. The curve is the computed cancellation node.

Fig. 3
Fig. 3

Semilogarithmic plot of oscillator strength versus core charge. Solid lines trace standard Hartree–Fock calculations; dashed lines trace calculations corrected for core polarization effects.

Fig. 4
Fig. 4

Plot of n s * versus n p *. The circles represent the experimental values for the ions Cu i–Ge iv, and the curves represent the computed cancellation nodes.

Tables (1)

Tables Icon

Table 1 Lifetimes (in nsec) of the n > 4 2P Levels of Zn ii (from Ref. 15)