Abstract

A study of Mg iv between 80 and 2100 Å has led to the classification of 243 lines. A total of 23 odd and 64 even levels have been identified as belonging to the 2s22p5, 2s22p6, 2s2p53s, 2s22p43p, 2s22p4ns, and 2s22p4nd (n = 3, 4, 5) configurations. Matrix diagonalizations and least-squares fits to the observed levels lead to well-defined radial integrals and verify the level assignments. On the basis of comparisons in the F i isoelectronic sequence, designation changes are suggested for some 2p4(3P)3d levels of Na iii, Al v, Si vi, P vii, and S viii. New levels are given for Na iii and Al v, and some previously listed levels in Na iii and S viii are rejected as unreal. An ionization energy of 880 800 cm−1 is given for Mg iv.

© 1972 Optical Society of America

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References

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  1. J. Söderqvist, Nova Acta Reg. Soc. Sci. Uppsala [IV] 9, No. 7 (1934).
  2. C. E. Moore, Atomic Energy Levels, Vol. I, Natl. Bur. Std. (U. S.) Circ. No. 467 (U. S. Government Printing Office, Washington, D. C., 1949).
  3. C. B. Ross, Ph.D. thesis, Purdue University, 1969 (University Microfilms Order No. 70.3967).
  4. V. Kaufman, L. J. Radziemski, and K. L. Andrew, J. Opt. Soc. Am. 56, 911 (1966).
    [Crossref]
  5. L. J. Radziemski, K. L. Andrew, V. Kaufman, and U. Litzén, J. Opt. Soc. Am. 57, 336 (1967).
    [Crossref]
  6. V. Kaufman and J. F. Ward, J. Opt. Soc. Am. 56, 1591 (1966).
    [Crossref]
  7. P. Risberg, Arkiv Fysik 9, 483 (1955).
  8. L. A. Svensson and J. O. Ekberg, Arkiv Fysik 40, 145 (1969).
  9. The computer-codes sequence used was written by Y. Bordarier, A. Carlier, and P. Dagoury at the Laboratoire Aimé Cotton, Orsay, 91 France.
  10. R. E. Trees, Phys. Rev. 83, 756 (1951).
    [Crossref]
  11. G. Racah, Phys. Rev. 85, 381 (1952).
    [Crossref]
  12. V. Kaufman and L. J. Radziemski, J. Opt. Soc. Am. 59, 227 (1969).
    [Crossref]
  13. Z. B. Goldschmidt and J. Starkand, J. Phys. B 3, 141(L) (1970).
    [Crossref]
  14. J. Sugar and V. Kaufman, J. Opt. Soc. Am. 62, 562 (1972).
    [Crossref]
  15. Z. B. Goldschmidt, Phys. Rev. A 3, 1872 (1971).
    [Crossref]
  16. C. Froese, Can. J. Phys. 41, 1895 (1963).
    [Crossref]
  17. W. Persson and L. Minnhagen, Arkiv Fysik 37, 273 (1968).
  18. B. Kjöllerström, N. G. Möller, and H. Svensson, Arkiv Fysik 29, 167 (1965).
  19. W. Persson, Physica Scripta 3, 133 (1971).
    [Crossref]
  20. D. H. Tomboulian, Phys. Rev. 54, 247 (1938).
  21. M. Gaillard, P. Ceyzériat, A. Denis, and M. Dufay, Compt. Rend. 269B, 526 (1969).
  22. K. Lidén, Arkiv Fysik 1, 229 (1949).
  23. J. Reader and J. Sugar, Phys. Rev. 137, B784 (1965).
    [Crossref]
  24. F. R. Rico, An. Real. Soc. espan. Fis. y Quim. A61, 113 (1960).
  25. B. Edlén, in Handbuch der Physik 27, edited by S. Flügge (Springer, Berlin, 1964), p. 198.

1972 (1)

1971 (2)

Z. B. Goldschmidt, Phys. Rev. A 3, 1872 (1971).
[Crossref]

W. Persson, Physica Scripta 3, 133 (1971).
[Crossref]

1970 (1)

Z. B. Goldschmidt and J. Starkand, J. Phys. B 3, 141(L) (1970).
[Crossref]

1969 (3)

M. Gaillard, P. Ceyzériat, A. Denis, and M. Dufay, Compt. Rend. 269B, 526 (1969).

L. A. Svensson and J. O. Ekberg, Arkiv Fysik 40, 145 (1969).

V. Kaufman and L. J. Radziemski, J. Opt. Soc. Am. 59, 227 (1969).
[Crossref]

1968 (1)

W. Persson and L. Minnhagen, Arkiv Fysik 37, 273 (1968).

1967 (1)

1966 (2)

1965 (2)

B. Kjöllerström, N. G. Möller, and H. Svensson, Arkiv Fysik 29, 167 (1965).

J. Reader and J. Sugar, Phys. Rev. 137, B784 (1965).
[Crossref]

1963 (1)

C. Froese, Can. J. Phys. 41, 1895 (1963).
[Crossref]

1960 (1)

F. R. Rico, An. Real. Soc. espan. Fis. y Quim. A61, 113 (1960).

1955 (1)

P. Risberg, Arkiv Fysik 9, 483 (1955).

1952 (1)

G. Racah, Phys. Rev. 85, 381 (1952).
[Crossref]

1951 (1)

R. E. Trees, Phys. Rev. 83, 756 (1951).
[Crossref]

1949 (1)

K. Lidén, Arkiv Fysik 1, 229 (1949).

1938 (1)

D. H. Tomboulian, Phys. Rev. 54, 247 (1938).

1934 (1)

J. Söderqvist, Nova Acta Reg. Soc. Sci. Uppsala [IV] 9, No. 7 (1934).

Andrew, K. L.

Ceyzériat, P.

M. Gaillard, P. Ceyzériat, A. Denis, and M. Dufay, Compt. Rend. 269B, 526 (1969).

Denis, A.

M. Gaillard, P. Ceyzériat, A. Denis, and M. Dufay, Compt. Rend. 269B, 526 (1969).

Dufay, M.

M. Gaillard, P. Ceyzériat, A. Denis, and M. Dufay, Compt. Rend. 269B, 526 (1969).

Edlén, B.

B. Edlén, in Handbuch der Physik 27, edited by S. Flügge (Springer, Berlin, 1964), p. 198.

Ekberg, J. O.

L. A. Svensson and J. O. Ekberg, Arkiv Fysik 40, 145 (1969).

Froese, C.

C. Froese, Can. J. Phys. 41, 1895 (1963).
[Crossref]

Gaillard, M.

M. Gaillard, P. Ceyzériat, A. Denis, and M. Dufay, Compt. Rend. 269B, 526 (1969).

Goldschmidt, Z. B.

Z. B. Goldschmidt, Phys. Rev. A 3, 1872 (1971).
[Crossref]

Z. B. Goldschmidt and J. Starkand, J. Phys. B 3, 141(L) (1970).
[Crossref]

Kaufman, V.

Kjöllerström, B.

B. Kjöllerström, N. G. Möller, and H. Svensson, Arkiv Fysik 29, 167 (1965).

Lidén, K.

K. Lidén, Arkiv Fysik 1, 229 (1949).

Litzén, U.

Minnhagen, L.

W. Persson and L. Minnhagen, Arkiv Fysik 37, 273 (1968).

Möller, N. G.

B. Kjöllerström, N. G. Möller, and H. Svensson, Arkiv Fysik 29, 167 (1965).

Moore, C. E.

C. E. Moore, Atomic Energy Levels, Vol. I, Natl. Bur. Std. (U. S.) Circ. No. 467 (U. S. Government Printing Office, Washington, D. C., 1949).

Persson, W.

W. Persson, Physica Scripta 3, 133 (1971).
[Crossref]

W. Persson and L. Minnhagen, Arkiv Fysik 37, 273 (1968).

Racah, G.

G. Racah, Phys. Rev. 85, 381 (1952).
[Crossref]

Radziemski, L. J.

Reader, J.

J. Reader and J. Sugar, Phys. Rev. 137, B784 (1965).
[Crossref]

Rico, F. R.

F. R. Rico, An. Real. Soc. espan. Fis. y Quim. A61, 113 (1960).

Risberg, P.

P. Risberg, Arkiv Fysik 9, 483 (1955).

Ross, C. B.

C. B. Ross, Ph.D. thesis, Purdue University, 1969 (University Microfilms Order No. 70.3967).

Söderqvist, J.

J. Söderqvist, Nova Acta Reg. Soc. Sci. Uppsala [IV] 9, No. 7 (1934).

Starkand, J.

Z. B. Goldschmidt and J. Starkand, J. Phys. B 3, 141(L) (1970).
[Crossref]

Sugar, J.

J. Sugar and V. Kaufman, J. Opt. Soc. Am. 62, 562 (1972).
[Crossref]

J. Reader and J. Sugar, Phys. Rev. 137, B784 (1965).
[Crossref]

Svensson, H.

B. Kjöllerström, N. G. Möller, and H. Svensson, Arkiv Fysik 29, 167 (1965).

Svensson, L. A.

L. A. Svensson and J. O. Ekberg, Arkiv Fysik 40, 145 (1969).

Tomboulian, D. H.

D. H. Tomboulian, Phys. Rev. 54, 247 (1938).

Trees, R. E.

R. E. Trees, Phys. Rev. 83, 756 (1951).
[Crossref]

Ward, J. F.

An. Real. Soc. espan. Fis. y Quim. (1)

F. R. Rico, An. Real. Soc. espan. Fis. y Quim. A61, 113 (1960).

Arkiv Fysik (5)

K. Lidén, Arkiv Fysik 1, 229 (1949).

P. Risberg, Arkiv Fysik 9, 483 (1955).

L. A. Svensson and J. O. Ekberg, Arkiv Fysik 40, 145 (1969).

W. Persson and L. Minnhagen, Arkiv Fysik 37, 273 (1968).

B. Kjöllerström, N. G. Möller, and H. Svensson, Arkiv Fysik 29, 167 (1965).

Can. J. Phys. (1)

C. Froese, Can. J. Phys. 41, 1895 (1963).
[Crossref]

Compt. Rend. (1)

M. Gaillard, P. Ceyzériat, A. Denis, and M. Dufay, Compt. Rend. 269B, 526 (1969).

J. Opt. Soc. Am. (5)

J. Phys. B (1)

Z. B. Goldschmidt and J. Starkand, J. Phys. B 3, 141(L) (1970).
[Crossref]

Nova Acta Reg. Soc. Sci. Uppsala [IV] (1)

J. Söderqvist, Nova Acta Reg. Soc. Sci. Uppsala [IV] 9, No. 7 (1934).

Phys. Rev. (4)

R. E. Trees, Phys. Rev. 83, 756 (1951).
[Crossref]

G. Racah, Phys. Rev. 85, 381 (1952).
[Crossref]

D. H. Tomboulian, Phys. Rev. 54, 247 (1938).

J. Reader and J. Sugar, Phys. Rev. 137, B784 (1965).
[Crossref]

Phys. Rev. A (1)

Z. B. Goldschmidt, Phys. Rev. A 3, 1872 (1971).
[Crossref]

Physica Scripta (1)

W. Persson, Physica Scripta 3, 133 (1971).
[Crossref]

Other (4)

The computer-codes sequence used was written by Y. Bordarier, A. Carlier, and P. Dagoury at the Laboratoire Aimé Cotton, Orsay, 91 France.

C. E. Moore, Atomic Energy Levels, Vol. I, Natl. Bur. Std. (U. S.) Circ. No. 467 (U. S. Government Printing Office, Washington, D. C., 1949).

C. B. Ross, Ph.D. thesis, Purdue University, 1969 (University Microfilms Order No. 70.3967).

B. Edlén, in Handbuch der Physik 27, edited by S. Flügge (Springer, Berlin, 1964), p. 198.

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Figures (3)

Fig. 1
Fig. 1

Energy diagram of the Mg3+ ion and the observed transition arrays of Mg iv. The unknown 3p2P term is shown as a dashed line.

Fig. 2
Fig. 2

F i isoelectronic sequence for the 3d levels, except 3d4F9/2,7/2. The ○, ×, +, and Δ indicate J =1/2, 3/2, 5/2, 7/2, respectively. See text for the complete explanation of the origin and interpretation of the data.

Fig. 3
Fig. 3

F i isoelectronic sequence for the 3p and 3p′ levels. See text for the complete explanation of the origin and interpretation of the data.

Tables (7)

Tables Icon

Table I Lines of Mg iv (1956–320 Å)

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Table II Lines of Mg iv (188–118 Å)

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Table III Energy levels of Mg3+.

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Table IV Parameter values for the 2s2p6, 2p43s, 2p43d, 2p44s, and 2p44d configurations of Mg iv and comparison with HF values. All values are in cm−1

Tables Icon

Table V Departures from LS coupling in the 2p43d, 2p44s, and 2p44d configurations of Mg iv. Unknown levels and those with LS purities greater than 90% are omitted. Energies are given in cm−1, and ΔE is the difference between the experimental and calculated energies.

Tables Icon

Table VI Parameter values for the 2p43p configuration of Mg iv, and comparison with HF values. All values are in cm−1.

Tables Icon

Table VII Departure from LS coupling in 2p43p configuration of Mg iv. Levels with LS purities greater than 95% are omitted. Energies are given in cm−1, and ΔE is the difference between the experimental and calculated energies.

Equations (2)

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n * ( 4 s ) - n * ( 3 s ) = 1.017 ± 0.001
UCG ( n s ) = E ( n s P 4 5 / 2 ) + 1 3 G 1 ( 2 p , n s ) .