Abstract

Scaled Hartree–Fock radial integrals for the electrostatic parameter (F2) and the spin–orbit parameter (ζp) and empirical values for the effective far configuration interaction parameter α were used in calculating the energy levels of the 3s23pn configurations of ions of copper through molybdenum in the Al, Si, P, S, and Cl isoelectronic sequences. The scale factors were obtained from the trend of fitted values derived from known energy levels of potassium through nickel and known magnetic-dipole lines from copper to molybdenum. The estimated uncertainty for the transition energies varies from ±200 cm−1 for Cu to ±1000 cm−1 for Mo. Wave functions generated with the scaled integrals were used to calculate magnetic-dipole transition rates between the calculated energy levels.

© 1984 Optical Society of America

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References

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  1. S. Suckewer and E. Hinnov, "Observation of a forbidden line of Fe XX and its application for ion temperature measurements in the Princeton Large Torus Tokamak," Phys. Rev. Lett. 41, 756–759 (1978).
    [CrossRef]
  2. E. Hinnov, S. Suckewer, S. Cohen, and K. Sato, "Observed transitions in n = 2 ground state configurations of copper, nickel, iron, chromium and germanium in tokamak discharges," Phys. Rev. A 25, 2293–2301 (1982).
    [CrossRef]
  3. B. Denne, E. Hinnov, S. Suckewer, and S. Cohen, "Magnetic di-pole lines in the 3s2 px configurations of elements copper to molybdenum," Phys. Rev. A 28, 206–208 (1983).
    [CrossRef]
  4. J. R. Roberts, V. Kaufman, J. Sugar, T. L. Pittman, and W. L. Rowan, "Magnetic-dipole transitions observed in highly ionized Ga, Ge, As, and Kr," Phys. Rev. A 27, 1721–1723 (1983).
    [CrossRef]
  5. E. Hinnov, Plasma Physics Laboratory, Princeton University, Princeton, N.J. 08540 (personal communication).
  6. V. Kaufman, J. Sugar, and D. Cooper, "F I and O I isoelectronic sequences: observations of 2sm2pn–2sm−12pn+1 intersystem transitions and improved measurements for CI, K, Ca, Sc, Ti, and V," Phys. Scr. 25, 623–626 (1982).
    [CrossRef]
  7. V. Kaufman, J. Sugar, and D. Cooper, "NI isoelectronic sequence: observations of 2sm2pn–2sm−12pn+1 intersystem transitions and improved measurements for CI XI, K XIII, Ca XIV, Sc XV, Ti XVI, and V XVII," Phys. Scr. 26, 163–167 (1982).
    [CrossRef]
  8. J. Sugar, V. Kaufman, and D. Cooper, "CI isoelectronic sequence: observations of 2sm2pn–2sm−12pn+1 intersystem transition and improved measurements for CI XII, K XIV, Ca XV, Sc XVI, Ti XVII, and V XVIII," Phys. Scr. 26, 189–193 (1982).
    [CrossRef]
  9. J. Sugar, V. Kaufman, and D. Cooper, "BI isoelectronic sequence: observation of 2s2p2–2p3 intersystem lines in Sc XVII and improved measurements for CI XIII, K XV, Ca XVI, Sc XVII, and Ti XVIII," Phys. Scr. 26, 293–295 (1982).
    [CrossRef]
  10. R. E. Trees, "Configuration interaction in Mn II," Phys. Rev. 83, 745–760 (1951).
    [CrossRef]
  11. R. D. Cowan, The Theory of Atomic Structure and Spectra (U. California Press, Berkeley, Calif., 1981).
  12. K. H. Burrell, R. J. Groebner, and N. H. Brooks, in Abstracts of the Fourth Topical Conference of the American Physical Society on Atomic Processes in High Temperature Plasmas, (Plasma Physics Laboratory, Princeton University, Princeton, N.J., 1983), p. 11.
  13. K.-N. Huang, Argonne National Laboratory, Argonne, III. 60439 (personal communication).

1983 (3)

B. Denne, E. Hinnov, S. Suckewer, and S. Cohen, "Magnetic di-pole lines in the 3s2 px configurations of elements copper to molybdenum," Phys. Rev. A 28, 206–208 (1983).
[CrossRef]

J. R. Roberts, V. Kaufman, J. Sugar, T. L. Pittman, and W. L. Rowan, "Magnetic-dipole transitions observed in highly ionized Ga, Ge, As, and Kr," Phys. Rev. A 27, 1721–1723 (1983).
[CrossRef]

K. H. Burrell, R. J. Groebner, and N. H. Brooks, in Abstracts of the Fourth Topical Conference of the American Physical Society on Atomic Processes in High Temperature Plasmas, (Plasma Physics Laboratory, Princeton University, Princeton, N.J., 1983), p. 11.

1982 (5)

E. Hinnov, S. Suckewer, S. Cohen, and K. Sato, "Observed transitions in n = 2 ground state configurations of copper, nickel, iron, chromium and germanium in tokamak discharges," Phys. Rev. A 25, 2293–2301 (1982).
[CrossRef]

V. Kaufman, J. Sugar, and D. Cooper, "F I and O I isoelectronic sequences: observations of 2sm2pn–2sm−12pn+1 intersystem transitions and improved measurements for CI, K, Ca, Sc, Ti, and V," Phys. Scr. 25, 623–626 (1982).
[CrossRef]

V. Kaufman, J. Sugar, and D. Cooper, "NI isoelectronic sequence: observations of 2sm2pn–2sm−12pn+1 intersystem transitions and improved measurements for CI XI, K XIII, Ca XIV, Sc XV, Ti XVI, and V XVII," Phys. Scr. 26, 163–167 (1982).
[CrossRef]

J. Sugar, V. Kaufman, and D. Cooper, "CI isoelectronic sequence: observations of 2sm2pn–2sm−12pn+1 intersystem transition and improved measurements for CI XII, K XIV, Ca XV, Sc XVI, Ti XVII, and V XVIII," Phys. Scr. 26, 189–193 (1982).
[CrossRef]

J. Sugar, V. Kaufman, and D. Cooper, "BI isoelectronic sequence: observation of 2s2p2–2p3 intersystem lines in Sc XVII and improved measurements for CI XIII, K XV, Ca XVI, Sc XVII, and Ti XVIII," Phys. Scr. 26, 293–295 (1982).
[CrossRef]

1978 (1)

S. Suckewer and E. Hinnov, "Observation of a forbidden line of Fe XX and its application for ion temperature measurements in the Princeton Large Torus Tokamak," Phys. Rev. Lett. 41, 756–759 (1978).
[CrossRef]

1951 (1)

R. E. Trees, "Configuration interaction in Mn II," Phys. Rev. 83, 745–760 (1951).
[CrossRef]

Brooks, N. H.

K. H. Burrell, R. J. Groebner, and N. H. Brooks, in Abstracts of the Fourth Topical Conference of the American Physical Society on Atomic Processes in High Temperature Plasmas, (Plasma Physics Laboratory, Princeton University, Princeton, N.J., 1983), p. 11.

Burrell, K. H.

K. H. Burrell, R. J. Groebner, and N. H. Brooks, in Abstracts of the Fourth Topical Conference of the American Physical Society on Atomic Processes in High Temperature Plasmas, (Plasma Physics Laboratory, Princeton University, Princeton, N.J., 1983), p. 11.

Cohen, S.

B. Denne, E. Hinnov, S. Suckewer, and S. Cohen, "Magnetic di-pole lines in the 3s2 px configurations of elements copper to molybdenum," Phys. Rev. A 28, 206–208 (1983).
[CrossRef]

E. Hinnov, S. Suckewer, S. Cohen, and K. Sato, "Observed transitions in n = 2 ground state configurations of copper, nickel, iron, chromium and germanium in tokamak discharges," Phys. Rev. A 25, 2293–2301 (1982).
[CrossRef]

Cooper, D.

V. Kaufman, J. Sugar, and D. Cooper, "F I and O I isoelectronic sequences: observations of 2sm2pn–2sm−12pn+1 intersystem transitions and improved measurements for CI, K, Ca, Sc, Ti, and V," Phys. Scr. 25, 623–626 (1982).
[CrossRef]

J. Sugar, V. Kaufman, and D. Cooper, "BI isoelectronic sequence: observation of 2s2p2–2p3 intersystem lines in Sc XVII and improved measurements for CI XIII, K XV, Ca XVI, Sc XVII, and Ti XVIII," Phys. Scr. 26, 293–295 (1982).
[CrossRef]

J. Sugar, V. Kaufman, and D. Cooper, "CI isoelectronic sequence: observations of 2sm2pn–2sm−12pn+1 intersystem transition and improved measurements for CI XII, K XIV, Ca XV, Sc XVI, Ti XVII, and V XVIII," Phys. Scr. 26, 189–193 (1982).
[CrossRef]

V. Kaufman, J. Sugar, and D. Cooper, "NI isoelectronic sequence: observations of 2sm2pn–2sm−12pn+1 intersystem transitions and improved measurements for CI XI, K XIII, Ca XIV, Sc XV, Ti XVI, and V XVII," Phys. Scr. 26, 163–167 (1982).
[CrossRef]

Cowan, R. D.

R. D. Cowan, The Theory of Atomic Structure and Spectra (U. California Press, Berkeley, Calif., 1981).

Denne, B.

B. Denne, E. Hinnov, S. Suckewer, and S. Cohen, "Magnetic di-pole lines in the 3s2 px configurations of elements copper to molybdenum," Phys. Rev. A 28, 206–208 (1983).
[CrossRef]

Groebner, R. J.

K. H. Burrell, R. J. Groebner, and N. H. Brooks, in Abstracts of the Fourth Topical Conference of the American Physical Society on Atomic Processes in High Temperature Plasmas, (Plasma Physics Laboratory, Princeton University, Princeton, N.J., 1983), p. 11.

Hinnov, E.

B. Denne, E. Hinnov, S. Suckewer, and S. Cohen, "Magnetic di-pole lines in the 3s2 px configurations of elements copper to molybdenum," Phys. Rev. A 28, 206–208 (1983).
[CrossRef]

E. Hinnov, S. Suckewer, S. Cohen, and K. Sato, "Observed transitions in n = 2 ground state configurations of copper, nickel, iron, chromium and germanium in tokamak discharges," Phys. Rev. A 25, 2293–2301 (1982).
[CrossRef]

S. Suckewer and E. Hinnov, "Observation of a forbidden line of Fe XX and its application for ion temperature measurements in the Princeton Large Torus Tokamak," Phys. Rev. Lett. 41, 756–759 (1978).
[CrossRef]

E. Hinnov, Plasma Physics Laboratory, Princeton University, Princeton, N.J. 08540 (personal communication).

Huang, K.-N.

K.-N. Huang, Argonne National Laboratory, Argonne, III. 60439 (personal communication).

Kaufman, V.

J. R. Roberts, V. Kaufman, J. Sugar, T. L. Pittman, and W. L. Rowan, "Magnetic-dipole transitions observed in highly ionized Ga, Ge, As, and Kr," Phys. Rev. A 27, 1721–1723 (1983).
[CrossRef]

V. Kaufman, J. Sugar, and D. Cooper, "F I and O I isoelectronic sequences: observations of 2sm2pn–2sm−12pn+1 intersystem transitions and improved measurements for CI, K, Ca, Sc, Ti, and V," Phys. Scr. 25, 623–626 (1982).
[CrossRef]

J. Sugar, V. Kaufman, and D. Cooper, "CI isoelectronic sequence: observations of 2sm2pn–2sm−12pn+1 intersystem transition and improved measurements for CI XII, K XIV, Ca XV, Sc XVI, Ti XVII, and V XVIII," Phys. Scr. 26, 189–193 (1982).
[CrossRef]

J. Sugar, V. Kaufman, and D. Cooper, "BI isoelectronic sequence: observation of 2s2p2–2p3 intersystem lines in Sc XVII and improved measurements for CI XIII, K XV, Ca XVI, Sc XVII, and Ti XVIII," Phys. Scr. 26, 293–295 (1982).
[CrossRef]

V. Kaufman, J. Sugar, and D. Cooper, "NI isoelectronic sequence: observations of 2sm2pn–2sm−12pn+1 intersystem transitions and improved measurements for CI XI, K XIII, Ca XIV, Sc XV, Ti XVI, and V XVII," Phys. Scr. 26, 163–167 (1982).
[CrossRef]

Pittman, T. L.

J. R. Roberts, V. Kaufman, J. Sugar, T. L. Pittman, and W. L. Rowan, "Magnetic-dipole transitions observed in highly ionized Ga, Ge, As, and Kr," Phys. Rev. A 27, 1721–1723 (1983).
[CrossRef]

Roberts, J. R.

J. R. Roberts, V. Kaufman, J. Sugar, T. L. Pittman, and W. L. Rowan, "Magnetic-dipole transitions observed in highly ionized Ga, Ge, As, and Kr," Phys. Rev. A 27, 1721–1723 (1983).
[CrossRef]

Rowan, W. L.

J. R. Roberts, V. Kaufman, J. Sugar, T. L. Pittman, and W. L. Rowan, "Magnetic-dipole transitions observed in highly ionized Ga, Ge, As, and Kr," Phys. Rev. A 27, 1721–1723 (1983).
[CrossRef]

Sato, K.

E. Hinnov, S. Suckewer, S. Cohen, and K. Sato, "Observed transitions in n = 2 ground state configurations of copper, nickel, iron, chromium and germanium in tokamak discharges," Phys. Rev. A 25, 2293–2301 (1982).
[CrossRef]

Suckewer, S.

B. Denne, E. Hinnov, S. Suckewer, and S. Cohen, "Magnetic di-pole lines in the 3s2 px configurations of elements copper to molybdenum," Phys. Rev. A 28, 206–208 (1983).
[CrossRef]

E. Hinnov, S. Suckewer, S. Cohen, and K. Sato, "Observed transitions in n = 2 ground state configurations of copper, nickel, iron, chromium and germanium in tokamak discharges," Phys. Rev. A 25, 2293–2301 (1982).
[CrossRef]

S. Suckewer and E. Hinnov, "Observation of a forbidden line of Fe XX and its application for ion temperature measurements in the Princeton Large Torus Tokamak," Phys. Rev. Lett. 41, 756–759 (1978).
[CrossRef]

Sugar, J.

J. R. Roberts, V. Kaufman, J. Sugar, T. L. Pittman, and W. L. Rowan, "Magnetic-dipole transitions observed in highly ionized Ga, Ge, As, and Kr," Phys. Rev. A 27, 1721–1723 (1983).
[CrossRef]

V. Kaufman, J. Sugar, and D. Cooper, "F I and O I isoelectronic sequences: observations of 2sm2pn–2sm−12pn+1 intersystem transitions and improved measurements for CI, K, Ca, Sc, Ti, and V," Phys. Scr. 25, 623–626 (1982).
[CrossRef]

J. Sugar, V. Kaufman, and D. Cooper, "BI isoelectronic sequence: observation of 2s2p2–2p3 intersystem lines in Sc XVII and improved measurements for CI XIII, K XV, Ca XVI, Sc XVII, and Ti XVIII," Phys. Scr. 26, 293–295 (1982).
[CrossRef]

J. Sugar, V. Kaufman, and D. Cooper, "CI isoelectronic sequence: observations of 2sm2pn–2sm−12pn+1 intersystem transition and improved measurements for CI XII, K XIV, Ca XV, Sc XVI, Ti XVII, and V XVIII," Phys. Scr. 26, 189–193 (1982).
[CrossRef]

V. Kaufman, J. Sugar, and D. Cooper, "NI isoelectronic sequence: observations of 2sm2pn–2sm−12pn+1 intersystem transitions and improved measurements for CI XI, K XIII, Ca XIV, Sc XV, Ti XVI, and V XVII," Phys. Scr. 26, 163–167 (1982).
[CrossRef]

Trees, R. E.

R. E. Trees, "Configuration interaction in Mn II," Phys. Rev. 83, 745–760 (1951).
[CrossRef]

Phys. Rev. (1)

R. E. Trees, "Configuration interaction in Mn II," Phys. Rev. 83, 745–760 (1951).
[CrossRef]

Phys. Rev. A (3)

E. Hinnov, S. Suckewer, S. Cohen, and K. Sato, "Observed transitions in n = 2 ground state configurations of copper, nickel, iron, chromium and germanium in tokamak discharges," Phys. Rev. A 25, 2293–2301 (1982).
[CrossRef]

B. Denne, E. Hinnov, S. Suckewer, and S. Cohen, "Magnetic di-pole lines in the 3s2 px configurations of elements copper to molybdenum," Phys. Rev. A 28, 206–208 (1983).
[CrossRef]

J. R. Roberts, V. Kaufman, J. Sugar, T. L. Pittman, and W. L. Rowan, "Magnetic-dipole transitions observed in highly ionized Ga, Ge, As, and Kr," Phys. Rev. A 27, 1721–1723 (1983).
[CrossRef]

Phys. Rev. Lett. (1)

S. Suckewer and E. Hinnov, "Observation of a forbidden line of Fe XX and its application for ion temperature measurements in the Princeton Large Torus Tokamak," Phys. Rev. Lett. 41, 756–759 (1978).
[CrossRef]

Phys. Scr. (4)

V. Kaufman, J. Sugar, and D. Cooper, "F I and O I isoelectronic sequences: observations of 2sm2pn–2sm−12pn+1 intersystem transitions and improved measurements for CI, K, Ca, Sc, Ti, and V," Phys. Scr. 25, 623–626 (1982).
[CrossRef]

V. Kaufman, J. Sugar, and D. Cooper, "NI isoelectronic sequence: observations of 2sm2pn–2sm−12pn+1 intersystem transitions and improved measurements for CI XI, K XIII, Ca XIV, Sc XV, Ti XVI, and V XVII," Phys. Scr. 26, 163–167 (1982).
[CrossRef]

J. Sugar, V. Kaufman, and D. Cooper, "CI isoelectronic sequence: observations of 2sm2pn–2sm−12pn+1 intersystem transition and improved measurements for CI XII, K XIV, Ca XV, Sc XVI, Ti XVII, and V XVIII," Phys. Scr. 26, 189–193 (1982).
[CrossRef]

J. Sugar, V. Kaufman, and D. Cooper, "BI isoelectronic sequence: observation of 2s2p2–2p3 intersystem lines in Sc XVII and improved measurements for CI XIII, K XV, Ca XVI, Sc XVII, and Ti XVIII," Phys. Scr. 26, 293–295 (1982).
[CrossRef]

Other (4)

E. Hinnov, Plasma Physics Laboratory, Princeton University, Princeton, N.J. 08540 (personal communication).

R. D. Cowan, The Theory of Atomic Structure and Spectra (U. California Press, Berkeley, Calif., 1981).

K. H. Burrell, R. J. Groebner, and N. H. Brooks, in Abstracts of the Fourth Topical Conference of the American Physical Society on Atomic Processes in High Temperature Plasmas, (Plasma Physics Laboratory, Princeton University, Princeton, N.J., 1983), p. 11.

K.-N. Huang, Argonne National Laboratory, Argonne, III. 60439 (personal communication).

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Figures (2)

Fig. 1
Fig. 1

Ratio of fitted spin–orbit parameters ζ(p) to Hartree–Fock values for Al, Si, P, S, and Cl isoelectronic sequences. Open symbols indicate that parameters were derived from incomplete data and are given less weight in drawing the curves.

Fig. 2
Fig. 2

Effective configuration interaction parameter α (upper curves) and ratio of fitted parameters F2 to Hartree–Fock values (lower curves) for Si, P, and S isoelectronic sequences. Triangles, silicon points; circles, phosphorous; and pluses, sulphur. Open symbols indicate that parameters were derived from incomplete data and are given less weight in drawing the curves.

Tables (1)

Tables Icon

Table 1 Predicted Wavelengths and Rates of Magnetic-Dipole Transitions within the 3s23pn(n = 1–5) Ground Configurations of Ions of Cu through Moa

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