Abstract

Molecular vibration and rotation constants are obtained for the metastable a1Δg electronic state of molecular oxygen. The constants are given for the υ = 0 and υ = 1 vibrational levels by combining recent high-resolution laboratory measurements with high-resolution observatory-based planetary and solar spectra of the magnetic dipole transitions of the system a1ΔgX3g.

© 1982 Optical Society of America

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References

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  1. J. F. Noxon, T. P. Markham, J. Geophys. Res. 68, 6059 (1963);H. P. Gush, H. L. Buijs, Can. J. Phys. 42, 1037 (1964);J. F. Noxon, W. A. Traub, N. P. Carleton, P. Connes, Astrophys. J. 207, 1025 (1976).
    [CrossRef]
  2. R. S. Mulliken, Phys. Rev. 32, 880 (1928).
    [CrossRef]
  3. L. Herzberg, G. Herzberg, Astrophys. J. 105, 353 (1947).
    [CrossRef]
  4. C. Amiot, J. Verges, Can. J. Phys. 59, 1391 (1981).
    [CrossRef]
  5. P. Connes, G. Michel, Astrophys. J. 190, L29 (1974).
    [CrossRef]
  6. J. W. Swensson, W. S. Benedict, L. Delbouille, G. Roland, Mem. Soc. R. Sci. Liège Collect. Special 5 (1970).
  7. W. Steinbach, W. Gordy, Phys. Rev. A 8, 1753 (1973).
    [CrossRef]
  8. W. Steinbach, W. Gordy, Phys. Rev. A 11, 729 (1975).
    [CrossRef]
  9. P. H. Krupenie, J. Phys. Chem. Ref. Data 1, 423 (1972).
    [CrossRef]
  10. W. S. Benedict; private communication.
  11. R. M. Badger, A. C. Wright, R. F. Whitlock, J. Chem. Phys. 43, 4345 (1965).
    [CrossRef]
  12. L. S. Rothman, Appl. Opt. 20, 791 (1981).
    [CrossRef] [PubMed]
  13. A. V. Jones, A. W. Harrison, J. Atmos. Terr. Phys. 13, 45 (1958).
    [CrossRef]
  14. T. Amano, E. Hirota, J. Mol. Spectrosc. 53, 346 (1974).
    [CrossRef]

1981 (2)

C. Amiot, J. Verges, Can. J. Phys. 59, 1391 (1981).
[CrossRef]

L. S. Rothman, Appl. Opt. 20, 791 (1981).
[CrossRef] [PubMed]

1975 (1)

W. Steinbach, W. Gordy, Phys. Rev. A 11, 729 (1975).
[CrossRef]

1974 (2)

P. Connes, G. Michel, Astrophys. J. 190, L29 (1974).
[CrossRef]

T. Amano, E. Hirota, J. Mol. Spectrosc. 53, 346 (1974).
[CrossRef]

1973 (1)

W. Steinbach, W. Gordy, Phys. Rev. A 8, 1753 (1973).
[CrossRef]

1972 (1)

P. H. Krupenie, J. Phys. Chem. Ref. Data 1, 423 (1972).
[CrossRef]

1970 (1)

J. W. Swensson, W. S. Benedict, L. Delbouille, G. Roland, Mem. Soc. R. Sci. Liège Collect. Special 5 (1970).

1965 (1)

R. M. Badger, A. C. Wright, R. F. Whitlock, J. Chem. Phys. 43, 4345 (1965).
[CrossRef]

1963 (1)

J. F. Noxon, T. P. Markham, J. Geophys. Res. 68, 6059 (1963);H. P. Gush, H. L. Buijs, Can. J. Phys. 42, 1037 (1964);J. F. Noxon, W. A. Traub, N. P. Carleton, P. Connes, Astrophys. J. 207, 1025 (1976).
[CrossRef]

1958 (1)

A. V. Jones, A. W. Harrison, J. Atmos. Terr. Phys. 13, 45 (1958).
[CrossRef]

1947 (1)

L. Herzberg, G. Herzberg, Astrophys. J. 105, 353 (1947).
[CrossRef]

1928 (1)

R. S. Mulliken, Phys. Rev. 32, 880 (1928).
[CrossRef]

Amano, T.

T. Amano, E. Hirota, J. Mol. Spectrosc. 53, 346 (1974).
[CrossRef]

Amiot, C.

C. Amiot, J. Verges, Can. J. Phys. 59, 1391 (1981).
[CrossRef]

Badger, R. M.

R. M. Badger, A. C. Wright, R. F. Whitlock, J. Chem. Phys. 43, 4345 (1965).
[CrossRef]

Benedict, W. S.

J. W. Swensson, W. S. Benedict, L. Delbouille, G. Roland, Mem. Soc. R. Sci. Liège Collect. Special 5 (1970).

W. S. Benedict; private communication.

Connes, P.

P. Connes, G. Michel, Astrophys. J. 190, L29 (1974).
[CrossRef]

Delbouille, L.

J. W. Swensson, W. S. Benedict, L. Delbouille, G. Roland, Mem. Soc. R. Sci. Liège Collect. Special 5 (1970).

Gordy, W.

W. Steinbach, W. Gordy, Phys. Rev. A 11, 729 (1975).
[CrossRef]

W. Steinbach, W. Gordy, Phys. Rev. A 8, 1753 (1973).
[CrossRef]

Harrison, A. W.

A. V. Jones, A. W. Harrison, J. Atmos. Terr. Phys. 13, 45 (1958).
[CrossRef]

Herzberg, G.

L. Herzberg, G. Herzberg, Astrophys. J. 105, 353 (1947).
[CrossRef]

Herzberg, L.

L. Herzberg, G. Herzberg, Astrophys. J. 105, 353 (1947).
[CrossRef]

Hirota, E.

T. Amano, E. Hirota, J. Mol. Spectrosc. 53, 346 (1974).
[CrossRef]

Jones, A. V.

A. V. Jones, A. W. Harrison, J. Atmos. Terr. Phys. 13, 45 (1958).
[CrossRef]

Krupenie, P. H.

P. H. Krupenie, J. Phys. Chem. Ref. Data 1, 423 (1972).
[CrossRef]

Markham, T. P.

J. F. Noxon, T. P. Markham, J. Geophys. Res. 68, 6059 (1963);H. P. Gush, H. L. Buijs, Can. J. Phys. 42, 1037 (1964);J. F. Noxon, W. A. Traub, N. P. Carleton, P. Connes, Astrophys. J. 207, 1025 (1976).
[CrossRef]

Michel, G.

P. Connes, G. Michel, Astrophys. J. 190, L29 (1974).
[CrossRef]

Mulliken, R. S.

R. S. Mulliken, Phys. Rev. 32, 880 (1928).
[CrossRef]

Noxon, J. F.

J. F. Noxon, T. P. Markham, J. Geophys. Res. 68, 6059 (1963);H. P. Gush, H. L. Buijs, Can. J. Phys. 42, 1037 (1964);J. F. Noxon, W. A. Traub, N. P. Carleton, P. Connes, Astrophys. J. 207, 1025 (1976).
[CrossRef]

Roland, G.

J. W. Swensson, W. S. Benedict, L. Delbouille, G. Roland, Mem. Soc. R. Sci. Liège Collect. Special 5 (1970).

Rothman, L. S.

Steinbach, W.

W. Steinbach, W. Gordy, Phys. Rev. A 11, 729 (1975).
[CrossRef]

W. Steinbach, W. Gordy, Phys. Rev. A 8, 1753 (1973).
[CrossRef]

Swensson, J. W.

J. W. Swensson, W. S. Benedict, L. Delbouille, G. Roland, Mem. Soc. R. Sci. Liège Collect. Special 5 (1970).

Verges, J.

C. Amiot, J. Verges, Can. J. Phys. 59, 1391 (1981).
[CrossRef]

Whitlock, R. F.

R. M. Badger, A. C. Wright, R. F. Whitlock, J. Chem. Phys. 43, 4345 (1965).
[CrossRef]

Wright, A. C.

R. M. Badger, A. C. Wright, R. F. Whitlock, J. Chem. Phys. 43, 4345 (1965).
[CrossRef]

Appl. Opt. (1)

Astrophys. J. (2)

L. Herzberg, G. Herzberg, Astrophys. J. 105, 353 (1947).
[CrossRef]

P. Connes, G. Michel, Astrophys. J. 190, L29 (1974).
[CrossRef]

Can. J. Phys. (1)

C. Amiot, J. Verges, Can. J. Phys. 59, 1391 (1981).
[CrossRef]

J. Atmos. Terr. Phys. (1)

A. V. Jones, A. W. Harrison, J. Atmos. Terr. Phys. 13, 45 (1958).
[CrossRef]

J. Chem. Phys. (1)

R. M. Badger, A. C. Wright, R. F. Whitlock, J. Chem. Phys. 43, 4345 (1965).
[CrossRef]

J. Geophys. Res. (1)

J. F. Noxon, T. P. Markham, J. Geophys. Res. 68, 6059 (1963);H. P. Gush, H. L. Buijs, Can. J. Phys. 42, 1037 (1964);J. F. Noxon, W. A. Traub, N. P. Carleton, P. Connes, Astrophys. J. 207, 1025 (1976).
[CrossRef]

J. Mol. Spectrosc. (1)

T. Amano, E. Hirota, J. Mol. Spectrosc. 53, 346 (1974).
[CrossRef]

J. Phys. Chem. Ref. Data (1)

P. H. Krupenie, J. Phys. Chem. Ref. Data 1, 423 (1972).
[CrossRef]

Mem. Soc. R. Sci. Liège Collect. Special (1)

J. W. Swensson, W. S. Benedict, L. Delbouille, G. Roland, Mem. Soc. R. Sci. Liège Collect. Special 5 (1970).

Phys. Rev. (1)

R. S. Mulliken, Phys. Rev. 32, 880 (1928).
[CrossRef]

Phys. Rev. A (2)

W. Steinbach, W. Gordy, Phys. Rev. A 8, 1753 (1973).
[CrossRef]

W. Steinbach, W. Gordy, Phys. Rev. A 11, 729 (1975).
[CrossRef]

Other (1)

W. S. Benedict; private communication.

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Figures (3)

Fig. 1
Fig. 1

Calculated spectrum of the a 1 Δ g X 3 g ( υ = 0 υ = 0 ) band of 16O2.

Fig. 2
Fig. 2

(a) Residuals from fit of the aX (0–0) band using constants of Ref. 4; (b) residuals from final fit of aX (0–0) band.

Fig. 3
Fig. 3

Residuals from fit of the aX (1–0) band.

Tables (2)

Tables Icon

Table I Constants for the g ( v = 0 ) 3 state of 16O2(cm−1)

Tables Icon

Table II Constants for the 1Δg state of 16O2(cm−1)

Equations (5)

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= B N 2 + μ N S + 2 / 3 λ ( 3 S z 2 S 2 ) ,
B = B 0 + B 1 N ( N + 1 ) , μ = μ + μ 1 N ( N + 1 ) , λ = λ 0 + λ 1 N ( N + 1 ) .
σ = σ 0 + B N ( N + 1 ) D [ N + 1 ] 2 ( N ) ,
G υ = ω e ( υ + ½ ) ω e x e ( υ + ½ ) 2 + ω e y e ( υ + ½ ) 3 .
S = A υ υ σ 8 π σ 0 3 c S J N Q ( T ) exp ( c 2 E / T ) [ 1 exp ( c 2 σ / T ) ] ,

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