Abstract

The results of three different methods of calculation are compared, with extrapolation and fitting of observational data, to obtain values for the energy levels and intervals of the 2sr2pk configurations for the elements from sulfur to scandium. Some auxiliary results are also obtained, such as fine-structure parameters which account well for the observed splittings, and intercombination-line wavelengths of interest for the solar corona.

© 1973 Optical Society of America

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References

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  1. B. Edlén, in Handbuch der Physik, edited by S. Flügge (Springer, Berlin, 1964).
  2. B. C. Fawcett, J. Phys. B 3, 1152 (1970).
    [Crossref]
  3. U. I. Safronova, A. N. Ivanova, and N. V. Rabinkina, Opt. Spektrosk. 31, 496 (1971) [Opt. Spectrosc. 31, 266 (1971)].
  4. B. Edlén, Sol. Phys. 24, 356 (1972).
    [Crossref]
  5. U. I. Safronova, A. N. Ivanova, and V. V. Tolmachev, Lit. Fiz. Col. 7, 303 (1967).
  6. U. I. Safronova and V. N. Kharitonova, Opt. Spektrosk. 28, 1039 (1970) [Opt. Spectrosc. 28, 562 (1970)].
  7. H. T. Doyle, Advances in Atomic and Molecular Physics, edited by D. R. Bates and I. Estermann (Academic, New York, 1969), Vol. 5, pp. 337–414.
    [Crossref]
  8. E. U. Condon and H. Odabasi, J.I.L.A. Report No. 95, 1968, Document No. AD-674 257 (National Technical Information Service, Springfield, Va.).
  9. E. Ya. Kononov and K. N. Koshelev, Opt. Spektrosk. 29, 217 (1970) [Opt. Spectrosc. 29, 115 (1970)].
  10. F. Rohrlich and C. Pecker, Astrophys. J. 138, 1246 (1963).
    [Crossref]
  11. E. Ya. Kononov, Opt. Spektrosk. 20, 537 (1966) [Opt. Spectrosc. 20, 303 (1966)].
  12. B. Edlén, H. P. Palenius, K. Bockasten, R. Hallin, and J. Bromander, Sol. Phys. 9, 432 (1969).
    [Crossref]
  13. H. Horie, Prog. Theor. Phys. 10, 296 (1953).
    [Crossref]
  14. S. Obi and S. Yanagawa, Publ. Astron. Soc. Jap. 7, 125 (1955).
  15. V. K. Shugurov and A. B. Bolotin, Vilniavs Valstybinio Universiteto Mokslo Darbai 8 (Matematikos, Fizikos ir Chemijos Mokslu Serija 5), 41 (1956).
  16. M. Jones, J. Phys. B 4, 1422 (1971).
    [Crossref]
  17. G. Malli, J. Chem. Phys. 48, 1088 (1968).
    [Crossref]
  18. G. Malli, J. Chem. Phys. 48, 1092 (1968).
    [Crossref]
  19. L. I. Podobedova, E. Ya. Kononov, and K. N. Koshelev, Opt. Spektrosk. 30, 394 (1971) [Opt. Spectrosc. 30, 217 (1971)].

1972 (1)

B. Edlén, Sol. Phys. 24, 356 (1972).
[Crossref]

1971 (3)

U. I. Safronova, A. N. Ivanova, and N. V. Rabinkina, Opt. Spektrosk. 31, 496 (1971) [Opt. Spectrosc. 31, 266 (1971)].

M. Jones, J. Phys. B 4, 1422 (1971).
[Crossref]

L. I. Podobedova, E. Ya. Kononov, and K. N. Koshelev, Opt. Spektrosk. 30, 394 (1971) [Opt. Spectrosc. 30, 217 (1971)].

1970 (3)

B. C. Fawcett, J. Phys. B 3, 1152 (1970).
[Crossref]

U. I. Safronova and V. N. Kharitonova, Opt. Spektrosk. 28, 1039 (1970) [Opt. Spectrosc. 28, 562 (1970)].

E. Ya. Kononov and K. N. Koshelev, Opt. Spektrosk. 29, 217 (1970) [Opt. Spectrosc. 29, 115 (1970)].

1969 (1)

B. Edlén, H. P. Palenius, K. Bockasten, R. Hallin, and J. Bromander, Sol. Phys. 9, 432 (1969).
[Crossref]

1968 (2)

G. Malli, J. Chem. Phys. 48, 1088 (1968).
[Crossref]

G. Malli, J. Chem. Phys. 48, 1092 (1968).
[Crossref]

1967 (1)

U. I. Safronova, A. N. Ivanova, and V. V. Tolmachev, Lit. Fiz. Col. 7, 303 (1967).

1966 (1)

E. Ya. Kononov, Opt. Spektrosk. 20, 537 (1966) [Opt. Spectrosc. 20, 303 (1966)].

1963 (1)

F. Rohrlich and C. Pecker, Astrophys. J. 138, 1246 (1963).
[Crossref]

1955 (1)

S. Obi and S. Yanagawa, Publ. Astron. Soc. Jap. 7, 125 (1955).

1953 (1)

H. Horie, Prog. Theor. Phys. 10, 296 (1953).
[Crossref]

Bockasten, K.

B. Edlén, H. P. Palenius, K. Bockasten, R. Hallin, and J. Bromander, Sol. Phys. 9, 432 (1969).
[Crossref]

Bolotin, A. B.

V. K. Shugurov and A. B. Bolotin, Vilniavs Valstybinio Universiteto Mokslo Darbai 8 (Matematikos, Fizikos ir Chemijos Mokslu Serija 5), 41 (1956).

Bromander, J.

B. Edlén, H. P. Palenius, K. Bockasten, R. Hallin, and J. Bromander, Sol. Phys. 9, 432 (1969).
[Crossref]

Condon, E. U.

E. U. Condon and H. Odabasi, J.I.L.A. Report No. 95, 1968, Document No. AD-674 257 (National Technical Information Service, Springfield, Va.).

Doyle, H. T.

H. T. Doyle, Advances in Atomic and Molecular Physics, edited by D. R. Bates and I. Estermann (Academic, New York, 1969), Vol. 5, pp. 337–414.
[Crossref]

Edlén, B.

B. Edlén, Sol. Phys. 24, 356 (1972).
[Crossref]

B. Edlén, H. P. Palenius, K. Bockasten, R. Hallin, and J. Bromander, Sol. Phys. 9, 432 (1969).
[Crossref]

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

Fawcett, B. C.

B. C. Fawcett, J. Phys. B 3, 1152 (1970).
[Crossref]

Hallin, R.

B. Edlén, H. P. Palenius, K. Bockasten, R. Hallin, and J. Bromander, Sol. Phys. 9, 432 (1969).
[Crossref]

Horie, H.

H. Horie, Prog. Theor. Phys. 10, 296 (1953).
[Crossref]

Ivanova, A. N.

U. I. Safronova, A. N. Ivanova, and N. V. Rabinkina, Opt. Spektrosk. 31, 496 (1971) [Opt. Spectrosc. 31, 266 (1971)].

U. I. Safronova, A. N. Ivanova, and V. V. Tolmachev, Lit. Fiz. Col. 7, 303 (1967).

Jones, M.

M. Jones, J. Phys. B 4, 1422 (1971).
[Crossref]

Kharitonova, V. N.

U. I. Safronova and V. N. Kharitonova, Opt. Spektrosk. 28, 1039 (1970) [Opt. Spectrosc. 28, 562 (1970)].

Kononov, E. Ya.

L. I. Podobedova, E. Ya. Kononov, and K. N. Koshelev, Opt. Spektrosk. 30, 394 (1971) [Opt. Spectrosc. 30, 217 (1971)].

E. Ya. Kononov and K. N. Koshelev, Opt. Spektrosk. 29, 217 (1970) [Opt. Spectrosc. 29, 115 (1970)].

E. Ya. Kononov, Opt. Spektrosk. 20, 537 (1966) [Opt. Spectrosc. 20, 303 (1966)].

Koshelev, K. N.

L. I. Podobedova, E. Ya. Kononov, and K. N. Koshelev, Opt. Spektrosk. 30, 394 (1971) [Opt. Spectrosc. 30, 217 (1971)].

E. Ya. Kononov and K. N. Koshelev, Opt. Spektrosk. 29, 217 (1970) [Opt. Spectrosc. 29, 115 (1970)].

Malli, G.

G. Malli, J. Chem. Phys. 48, 1088 (1968).
[Crossref]

G. Malli, J. Chem. Phys. 48, 1092 (1968).
[Crossref]

Obi, S.

S. Obi and S. Yanagawa, Publ. Astron. Soc. Jap. 7, 125 (1955).

Odabasi, H.

E. U. Condon and H. Odabasi, J.I.L.A. Report No. 95, 1968, Document No. AD-674 257 (National Technical Information Service, Springfield, Va.).

Palenius, H. P.

B. Edlén, H. P. Palenius, K. Bockasten, R. Hallin, and J. Bromander, Sol. Phys. 9, 432 (1969).
[Crossref]

Pecker, C.

F. Rohrlich and C. Pecker, Astrophys. J. 138, 1246 (1963).
[Crossref]

Podobedova, L. I.

L. I. Podobedova, E. Ya. Kononov, and K. N. Koshelev, Opt. Spektrosk. 30, 394 (1971) [Opt. Spectrosc. 30, 217 (1971)].

Rabinkina, N. V.

U. I. Safronova, A. N. Ivanova, and N. V. Rabinkina, Opt. Spektrosk. 31, 496 (1971) [Opt. Spectrosc. 31, 266 (1971)].

Rohrlich, F.

F. Rohrlich and C. Pecker, Astrophys. J. 138, 1246 (1963).
[Crossref]

Safronova, U. I.

U. I. Safronova, A. N. Ivanova, and N. V. Rabinkina, Opt. Spektrosk. 31, 496 (1971) [Opt. Spectrosc. 31, 266 (1971)].

U. I. Safronova and V. N. Kharitonova, Opt. Spektrosk. 28, 1039 (1970) [Opt. Spectrosc. 28, 562 (1970)].

U. I. Safronova, A. N. Ivanova, and V. V. Tolmachev, Lit. Fiz. Col. 7, 303 (1967).

Shugurov, V. K.

V. K. Shugurov and A. B. Bolotin, Vilniavs Valstybinio Universiteto Mokslo Darbai 8 (Matematikos, Fizikos ir Chemijos Mokslu Serija 5), 41 (1956).

Tolmachev, V. V.

U. I. Safronova, A. N. Ivanova, and V. V. Tolmachev, Lit. Fiz. Col. 7, 303 (1967).

Yanagawa, S.

S. Obi and S. Yanagawa, Publ. Astron. Soc. Jap. 7, 125 (1955).

Astrophys. J. (1)

F. Rohrlich and C. Pecker, Astrophys. J. 138, 1246 (1963).
[Crossref]

J. Chem. Phys. (2)

G. Malli, J. Chem. Phys. 48, 1088 (1968).
[Crossref]

G. Malli, J. Chem. Phys. 48, 1092 (1968).
[Crossref]

J. Phys. B (2)

M. Jones, J. Phys. B 4, 1422 (1971).
[Crossref]

B. C. Fawcett, J. Phys. B 3, 1152 (1970).
[Crossref]

Lit. Fiz. Col. (1)

U. I. Safronova, A. N. Ivanova, and V. V. Tolmachev, Lit. Fiz. Col. 7, 303 (1967).

Opt. Spektrosk. (5)

U. I. Safronova and V. N. Kharitonova, Opt. Spektrosk. 28, 1039 (1970) [Opt. Spectrosc. 28, 562 (1970)].

U. I. Safronova, A. N. Ivanova, and N. V. Rabinkina, Opt. Spektrosk. 31, 496 (1971) [Opt. Spectrosc. 31, 266 (1971)].

E. Ya. Kononov and K. N. Koshelev, Opt. Spektrosk. 29, 217 (1970) [Opt. Spectrosc. 29, 115 (1970)].

L. I. Podobedova, E. Ya. Kononov, and K. N. Koshelev, Opt. Spektrosk. 30, 394 (1971) [Opt. Spectrosc. 30, 217 (1971)].

E. Ya. Kononov, Opt. Spektrosk. 20, 537 (1966) [Opt. Spectrosc. 20, 303 (1966)].

Prog. Theor. Phys. (1)

H. Horie, Prog. Theor. Phys. 10, 296 (1953).
[Crossref]

Publ. Astron. Soc. Jap. (1)

S. Obi and S. Yanagawa, Publ. Astron. Soc. Jap. 7, 125 (1955).

Sol. Phys. (2)

B. Edlén, H. P. Palenius, K. Bockasten, R. Hallin, and J. Bromander, Sol. Phys. 9, 432 (1969).
[Crossref]

B. Edlén, Sol. Phys. 24, 356 (1972).
[Crossref]

Other (4)

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

H. T. Doyle, Advances in Atomic and Molecular Physics, edited by D. R. Bates and I. Estermann (Academic, New York, 1969), Vol. 5, pp. 337–414.
[Crossref]

E. U. Condon and H. Odabasi, J.I.L.A. Report No. 95, 1968, Document No. AD-674 257 (National Technical Information Service, Springfield, Va.).

V. K. Shugurov and A. B. Bolotin, Vilniavs Valstybinio Universiteto Mokslo Darbai 8 (Matematikos, Fizikos ir Chemijos Mokslu Serija 5), 41 (1956).

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Figures (2)

Fig. 1
Fig. 1

Ratio R of 1 s 2 2 p 5 ( 2 P 3 / 2 2 P 1 / 2 ) interval to 1 s 2 2 s 2 2 p 5 ( 2 P 3 / 2 2 P 1 / 2 ) interval. The point at Z = 20 is estimated from the earlier part of the curve.

Fig. 2
Fig. 2

Ratios R of 1 s 2 2 p 4 intervals to 1 s 2 2 s 2 2 p 4 intervals. Dots represent ratios of the (3P13P0) intervals, crosses represent ratios of the (3P22P1) intervals.

Tables (9)

Tables Icon

Table I Al vii energy-level differences (cm−1).

Tables Icon

Table II Al viii energy-level differences (cm−1).

Tables Icon

Table III Predicted intervals of 1 s 2 2 p 4 ( P ) (cm−1).

Tables Icon

Table IV Predicted wavelengthsa of 2 s 2 2 p 2 ( P ) 2 s 2 p 3 ( S ) transitions (Å).

Tables Icon

Table V 2 s 2 p 3 fine-structure parameters and intervals (cm−1).

Tables Icon

Table VI 2 s 2 p 3 fine-structure parameters and shifts of levels 3DJ, 3PJ (cm−1).

Tables Icon

Table VII Spin–orbit and mutual magnetic parameters in 2 p 3 configuration.

Tables Icon

Table VIII Energy levels in the C i sequence (cm−1).

Tables Icon

Table IX Energy levels in the N i sequence (cm−1).

Equations (16)

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3 D 3 = 37 5 M ° 24 5 L ° + D ° ,
3 D 2 = 37 10 M ° + 24 5 L ° 1 2 D ° + ( 3 3 2 M ° + 3 L ° 3 2 D ° 3 2 ζ ) 2 E ( 3 D ) E ( 3 P ) ,
3 D 1 = 111 10 M ° + 16 5 L ° 3 2 D ° + ( 10 2 3 ζ 30 2 M ° 10 3 L ° 10 2 3 D ° ) 2 E ( 3 D ) E ( 1 P ) + ( ( 15 ) 2 M ° + 5 3 L ° 5 2 3 D ° 5 2 3 ζ ) 2 E ( 3 D ) E ( 3 P )
3 P 0 = 5 M ° + 8 L ° D ° ,
3 P 1 = 5 2 M ° 1 2 D ° + ( 1 3 ζ 3 M ° 2 3 L ° + 1 3 D ° ) 2 E ( 3 P ) E ( 3 S ) + ( 15 2 M ° + 5 3 L ° 5 2 3 D ° 5 2 3 ζ ) 2 E ( 3 P ) E ( 3 D ) ,
3 P 2 = 5 2 M ° 8 5 L ° + 1 2 D ° + ( 3 2 M ° + 2 L ° 1 2 D ° 1 2 ζ ) 2 E ( 3 P ) E ( 1 D ) + ( 3 3 2 M ° + 3 L ° 3 3 D ° 3 2 ζ ) 2 E ( 3 P ) E ( 3 D ) + ( 3 M ° + 2 L ° D ° ζ ) 2 E ( 3 P ) E ( 5 S ) .
M ° = 0.0147 ( Z 2.82 ) 3 ,
L ° = 0.0104 ( Z 2.37 ) 3 ,
D ° = 0.00949 ( Z + 1.226 ) 3 ,
ζ ( 2 p ) = 0.0214 ( Z 2.10 ) 4 .
2 P 1 / 2 2 P 3 / 2 = 5 M ° ( 5 2 ζ + 3 5 2 M ° ) 2 E ( 2 P ) E ( 2 D ) ( ζ + 3 M ° ) 2 E ( 2 P ) E ( 4 S ) ,
2 D 3 / 2 2 D 5 / 2 = 18.5 M ° + ( 5 2 ζ + 3 5 2 M ° ) 2 E ( 2 D ) E ( 2 P ) + ( 6 5 M ° ) 2 E ( 2 D ) E ( 4 S ) .
ζ ( 2 p ) = 0.275 ( Z 3.112 ) 4 ,
M ° ( 2 p , 2 p ) = 3.0128 ( Z 3.034 ) 3 .
H ( 3 D 3 , 3 D 3 ) = 1.5 Z 2 + 3.37995 Z 3.6391 0.011675 α 2 Z 3 , H ( 3 D 2 , 3 D 2 ) = 1.5 Z 2 + 3.37995 Z 3.6391 + 0.0032321 α 2 Z 3 , H ( 3 D 1 , 3 D 1 ) = 1.5 Z 2 + 3.37995 Z 3.6391 + 0.014256 α 2 Z 3 , H ( 3 P 2 , 3 P 2 ) = 1.5 Z 2 + 3.40104 Z 3.6968 0.0055466 α 2 Z 3 , H ( 3 P 1 , 3 P 1 ) = 1.5 Z 2 + 3.40104 Z 3.6968 + 0.0035916 α 2 Z 3 , H ( 3 P 0 , 3 P 0 ) = 1.5 Z 2 + 3.40104 Z 3.6968 + 0.007184 α 2 Z 3 , H ( 1 D 2 , 1 D 2 ) = 1.5 Z 2 + 3.43854 Z 3.7770 , H ( 1 P 1 , 1 P 1 ) = 1.5 Z 2 + 3.45963 Z 3.8347 , H ( 5 S 2 , 5 S 2 ) = 1.5 Z 2 + 3.31901 Z 3.4405 , H ( 3 S 1 , 3 S 1 ) = 1.5 Z 2 + 3.43620 Z 3.7162 , H ( 3 D 2 , 3 P 2 ) = 0.018042 α 2 Z 4 0.17317 α 2 Z 3 , H ( 3 D 1 , 3 P 1 ) = 0.013448 α 2 Z 4 0.12907 α 2 Z 3 , H ( 3 D 2 , 1 D 2 ) = 0.0067132 α 2 Z 3 , H ( 3 P 2 , 1 D 2 ) = 0.014731 α 2 Z 4 + 0.14139 α 2 Z 3 , H ( 3 D 1 , 1 P 1 ) = 0.019018 α 2 Z 4 + 0.18254 α 2 Z 3 , H ( 3 P 1 , 1 P 1 ) = 0.0016667 α 2 Z 3 , H ( 3 D 2 , 5 S 2 ) = 0.0012550 α 2 Z 3 , H ( 3 P 2 , 5 S 2 ) = 0.020833 α 2 Z 4 + 0.19836 α 2 Z 3 , H ( 3 P 1 , 3 S 1 ) = 0.012028 α 2 Z 4 + 0.11545 α 2 Z 3 ;
H ( 4 P 5 / 2 , 4 P 5 / 2 ) = 1.625 Z 2 + 4.49457 Z 5.7391 0.010417 α 2 Z 4 + 0.09888 α 2 Z 3 , H ( 4 P 3 / 2 , 4 P 3 / 2 ) = 1.625 Z 2 + 4.49457 Z 5.7391 + 0.0069444 α 2 Z 4 0.064750 α 2 Z 3 , H ( 4 P 1 / 2 , 4 P 1 / 2 ) = 1.625 Z 2 + 4.49457 Z 5.7391 + 0.017361 α 2 Z 4 0.017507 α 2 Z 3 , H ( 2 D 5 / 2 , 2 D 5 / 2 ) = 1.625 Z 2 + 4.54496 Z 5.9083 0.0027690 α 2 Z 3 , H ( 2 D 3 / 2 , 2 D 3 / 2 ) = 1.625 Z 2 + 4.54496 Z 5.9083 + 0.0041535 α 2 Z 3 , H ( 2 P 3 / 2 , 2 P 3 / 2 ) = 1.625 Z 2 + 4.58246 Z 5.9633 0.0069444 α 2 Z 4 + 0.070138 α 2 Z 3 , H ( 2 P 1 / 2 , 2 P 1 / 2 ) = 1.625 Z 2 + 4.458246 Z 5.9633 + 0.013889 α 2 Z 4 0.14028 α 2 Z 3 , H ( 2 S 1 / 2 , 2 S 1 / 2 ) = 1.625 Z 2 + 4.57660 Z 6.0067 , H ( 4 P 5 / 2 , 2 D 5 / 2 ) = 0.010417 α 2 Z 4 + 0.15951 α 2 Z 3 , H ( 4 P 3 / 2 , 2 D 3 / 2 ) = 0.0060141 α 2 Z 4 + 0.064555 α 2 Z 3 , H ( 4 P 3 / 2 , 2 P 3 / 2 ) = 0.0077641 α 2 Z 4 + 0.081159 α 2 Z 3 , H ( 4 P 1 / 2 , 2 P 1 / 2 ) = 0.0049105 α 2 Z 4 0.052986 α 2 Z 3 , H ( 4 P 1 / 2 , 2 S 1 / 2 ) = 0.013889 α 2 Z 4 0.25559 α 2 Z 3 , H ( 2 D 3 / 2 , 2 P 3 / 2 ) = 0.013448 α 2 Z 4 + 0.57992 α 2 Z 3 .