Abstract

A nonlinear least-squares fitting procedure has been used to derive absolute intensities for lines in the P, R, and Q branches of the (1110)II ← 0000 band of 12C16O2 (band center = 1932 cm−1) from long-path 0.01-cm−1 resolution laboratory spectra. The spectral data were recorded at room temperature and low pressure (<10 Torr) with the Fourier transform spectrometer in the McMath solar telescope complex at Kitt Peak National Observatory. The observed line intensities were analyzed to derive the vibrational band intensity and F-factor coefficients. To obtain a good fit to the data, it was necessary to include terms in the expression for the F factor, which account for Coriolis-type and Fermi-type interactions and centrifugal distortion effects.

© 1983 Optical Society of America

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References

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  1. D. C. Benner, C. P. Rinsland, D. J. Richardson, T.-H. Soo, M. A. H. Smith, NASA Tech. Memo. 84612 (1983).
  2. C. L. Lin, J. H. Shaw, J. G. Calvert, J. Quant. Spectrosc. Radiat. Transfer 22, 253 (1979).
    [CrossRef]
  3. L. R. Brown, J. S. Margolis, R. H. Norton, B. A. Stedry, Appl. Spectrosc. 37, 287 (1983).
    [CrossRef]
  4. E. Niple, W. G. Mankin, A. Goldman, D. G. Murcray, F. J. Murcray, Geophys. Res. Lett. 7, 489 (1980).
    [CrossRef]
  5. S. R. Drayson, J. Quant. Spectrosc. Radiat. Transfer 16, 611 (1976).
    [CrossRef]
  6. J. T. Twitty, P. L. Rarig, R. E. Thompson, J. Quant. Spectrosc. Radiat. Transfer 24, 529 (1980).
    [CrossRef]
  7. G. Yamamoto, M. Tanaka, T. Aoki, J. Quant. Spectrosc. Radiat. Transfer 9, 371 (1969).
    [CrossRef]
  8. C. P. Rinsland, A. Baldacci, K. Narahari Rao, J. Mol. Spectrosc. 81, 256 (1980).
    [CrossRef]
  9. L. S. Rothman, L. D. G. Young, J. Quant. Spectrosc. Radiat Transfer 25, 505 (1981).
    [CrossRef]
  10. R. A. Toth, V. D. Gupta, J. W. Brault, Appl. Opt. 21, 3337 (1982).
    [CrossRef] [PubMed]
  11. E. K. Plyler, E. D. Tidwell, W. S. Benedict, J. Opt. Soc. Am. 52, 1017 (1962).
    [CrossRef]
  12. H. D. Downing, B. J. Krohn, R. H. Hunt, J. Mol. Spectrosc. 55, 66 (1975).
    [CrossRef]
  13. R. A. Toth, J. Mol. Spectrosc. 53, 1 (1974).
    [CrossRef]
  14. Ph. Arcas, E. Arié, Ph. Cardinet, A. Valentin, A. Henry, J. Mol. Spectrosc. 81, 262 (1980).
    [CrossRef]
  15. Ph. Arcas, E. Arié, A. Valentin, A. Henry, J. Mol. Spectrosc. 96, 288 (1982).
    [CrossRef]
  16. E. T. Whittaker, G. Robinson, The Calculus of Observations (Blackie and Son, Glasgow, 1926), Chap. 9.
  17. R. E. Ellis, B. Schurin, Appl. Opt. 8, 2265 (1969).
    [CrossRef] [PubMed]
  18. M. Tanaka, T. Yamanouchi, J. Quant. Spectrosc. Radiat. Transfer 17, 421 (1977).
    [CrossRef]
  19. L. S. Rothman et al., Appl. Opt. 22, 2247 (1983).
    [CrossRef] [PubMed]

1983 (2)

1982 (2)

R. A. Toth, V. D. Gupta, J. W. Brault, Appl. Opt. 21, 3337 (1982).
[CrossRef] [PubMed]

Ph. Arcas, E. Arié, A. Valentin, A. Henry, J. Mol. Spectrosc. 96, 288 (1982).
[CrossRef]

1981 (1)

L. S. Rothman, L. D. G. Young, J. Quant. Spectrosc. Radiat Transfer 25, 505 (1981).
[CrossRef]

1980 (4)

C. P. Rinsland, A. Baldacci, K. Narahari Rao, J. Mol. Spectrosc. 81, 256 (1980).
[CrossRef]

Ph. Arcas, E. Arié, Ph. Cardinet, A. Valentin, A. Henry, J. Mol. Spectrosc. 81, 262 (1980).
[CrossRef]

E. Niple, W. G. Mankin, A. Goldman, D. G. Murcray, F. J. Murcray, Geophys. Res. Lett. 7, 489 (1980).
[CrossRef]

J. T. Twitty, P. L. Rarig, R. E. Thompson, J. Quant. Spectrosc. Radiat. Transfer 24, 529 (1980).
[CrossRef]

1979 (1)

C. L. Lin, J. H. Shaw, J. G. Calvert, J. Quant. Spectrosc. Radiat. Transfer 22, 253 (1979).
[CrossRef]

1977 (1)

M. Tanaka, T. Yamanouchi, J. Quant. Spectrosc. Radiat. Transfer 17, 421 (1977).
[CrossRef]

1976 (1)

S. R. Drayson, J. Quant. Spectrosc. Radiat. Transfer 16, 611 (1976).
[CrossRef]

1975 (1)

H. D. Downing, B. J. Krohn, R. H. Hunt, J. Mol. Spectrosc. 55, 66 (1975).
[CrossRef]

1974 (1)

R. A. Toth, J. Mol. Spectrosc. 53, 1 (1974).
[CrossRef]

1969 (2)

G. Yamamoto, M. Tanaka, T. Aoki, J. Quant. Spectrosc. Radiat. Transfer 9, 371 (1969).
[CrossRef]

R. E. Ellis, B. Schurin, Appl. Opt. 8, 2265 (1969).
[CrossRef] [PubMed]

1962 (1)

Aoki, T.

G. Yamamoto, M. Tanaka, T. Aoki, J. Quant. Spectrosc. Radiat. Transfer 9, 371 (1969).
[CrossRef]

Arcas, Ph.

Ph. Arcas, E. Arié, A. Valentin, A. Henry, J. Mol. Spectrosc. 96, 288 (1982).
[CrossRef]

Ph. Arcas, E. Arié, Ph. Cardinet, A. Valentin, A. Henry, J. Mol. Spectrosc. 81, 262 (1980).
[CrossRef]

Arié, E.

Ph. Arcas, E. Arié, A. Valentin, A. Henry, J. Mol. Spectrosc. 96, 288 (1982).
[CrossRef]

Ph. Arcas, E. Arié, Ph. Cardinet, A. Valentin, A. Henry, J. Mol. Spectrosc. 81, 262 (1980).
[CrossRef]

Baldacci, A.

C. P. Rinsland, A. Baldacci, K. Narahari Rao, J. Mol. Spectrosc. 81, 256 (1980).
[CrossRef]

Benedict, W. S.

Benner, D. C.

D. C. Benner, C. P. Rinsland, D. J. Richardson, T.-H. Soo, M. A. H. Smith, NASA Tech. Memo. 84612 (1983).

Brault, J. W.

Brown, L. R.

Calvert, J. G.

C. L. Lin, J. H. Shaw, J. G. Calvert, J. Quant. Spectrosc. Radiat. Transfer 22, 253 (1979).
[CrossRef]

Cardinet, Ph.

Ph. Arcas, E. Arié, Ph. Cardinet, A. Valentin, A. Henry, J. Mol. Spectrosc. 81, 262 (1980).
[CrossRef]

Downing, H. D.

H. D. Downing, B. J. Krohn, R. H. Hunt, J. Mol. Spectrosc. 55, 66 (1975).
[CrossRef]

Drayson, S. R.

S. R. Drayson, J. Quant. Spectrosc. Radiat. Transfer 16, 611 (1976).
[CrossRef]

Ellis, R. E.

Goldman, A.

E. Niple, W. G. Mankin, A. Goldman, D. G. Murcray, F. J. Murcray, Geophys. Res. Lett. 7, 489 (1980).
[CrossRef]

Gupta, V. D.

Henry, A.

Ph. Arcas, E. Arié, A. Valentin, A. Henry, J. Mol. Spectrosc. 96, 288 (1982).
[CrossRef]

Ph. Arcas, E. Arié, Ph. Cardinet, A. Valentin, A. Henry, J. Mol. Spectrosc. 81, 262 (1980).
[CrossRef]

Hunt, R. H.

H. D. Downing, B. J. Krohn, R. H. Hunt, J. Mol. Spectrosc. 55, 66 (1975).
[CrossRef]

Krohn, B. J.

H. D. Downing, B. J. Krohn, R. H. Hunt, J. Mol. Spectrosc. 55, 66 (1975).
[CrossRef]

Lin, C. L.

C. L. Lin, J. H. Shaw, J. G. Calvert, J. Quant. Spectrosc. Radiat. Transfer 22, 253 (1979).
[CrossRef]

Mankin, W. G.

E. Niple, W. G. Mankin, A. Goldman, D. G. Murcray, F. J. Murcray, Geophys. Res. Lett. 7, 489 (1980).
[CrossRef]

Margolis, J. S.

Murcray, D. G.

E. Niple, W. G. Mankin, A. Goldman, D. G. Murcray, F. J. Murcray, Geophys. Res. Lett. 7, 489 (1980).
[CrossRef]

Murcray, F. J.

E. Niple, W. G. Mankin, A. Goldman, D. G. Murcray, F. J. Murcray, Geophys. Res. Lett. 7, 489 (1980).
[CrossRef]

Narahari Rao, K.

C. P. Rinsland, A. Baldacci, K. Narahari Rao, J. Mol. Spectrosc. 81, 256 (1980).
[CrossRef]

Niple, E.

E. Niple, W. G. Mankin, A. Goldman, D. G. Murcray, F. J. Murcray, Geophys. Res. Lett. 7, 489 (1980).
[CrossRef]

Norton, R. H.

Plyler, E. K.

Rarig, P. L.

J. T. Twitty, P. L. Rarig, R. E. Thompson, J. Quant. Spectrosc. Radiat. Transfer 24, 529 (1980).
[CrossRef]

Richardson, D. J.

D. C. Benner, C. P. Rinsland, D. J. Richardson, T.-H. Soo, M. A. H. Smith, NASA Tech. Memo. 84612 (1983).

Rinsland, C. P.

C. P. Rinsland, A. Baldacci, K. Narahari Rao, J. Mol. Spectrosc. 81, 256 (1980).
[CrossRef]

D. C. Benner, C. P. Rinsland, D. J. Richardson, T.-H. Soo, M. A. H. Smith, NASA Tech. Memo. 84612 (1983).

Robinson, G.

E. T. Whittaker, G. Robinson, The Calculus of Observations (Blackie and Son, Glasgow, 1926), Chap. 9.

Rothman, L. S.

L. S. Rothman et al., Appl. Opt. 22, 2247 (1983).
[CrossRef] [PubMed]

L. S. Rothman, L. D. G. Young, J. Quant. Spectrosc. Radiat Transfer 25, 505 (1981).
[CrossRef]

Schurin, B.

Shaw, J. H.

C. L. Lin, J. H. Shaw, J. G. Calvert, J. Quant. Spectrosc. Radiat. Transfer 22, 253 (1979).
[CrossRef]

Smith, M. A. H.

D. C. Benner, C. P. Rinsland, D. J. Richardson, T.-H. Soo, M. A. H. Smith, NASA Tech. Memo. 84612 (1983).

Soo, T.-H.

D. C. Benner, C. P. Rinsland, D. J. Richardson, T.-H. Soo, M. A. H. Smith, NASA Tech. Memo. 84612 (1983).

Stedry, B. A.

Tanaka, M.

M. Tanaka, T. Yamanouchi, J. Quant. Spectrosc. Radiat. Transfer 17, 421 (1977).
[CrossRef]

G. Yamamoto, M. Tanaka, T. Aoki, J. Quant. Spectrosc. Radiat. Transfer 9, 371 (1969).
[CrossRef]

Thompson, R. E.

J. T. Twitty, P. L. Rarig, R. E. Thompson, J. Quant. Spectrosc. Radiat. Transfer 24, 529 (1980).
[CrossRef]

Tidwell, E. D.

Toth, R. A.

Twitty, J. T.

J. T. Twitty, P. L. Rarig, R. E. Thompson, J. Quant. Spectrosc. Radiat. Transfer 24, 529 (1980).
[CrossRef]

Valentin, A.

Ph. Arcas, E. Arié, A. Valentin, A. Henry, J. Mol. Spectrosc. 96, 288 (1982).
[CrossRef]

Ph. Arcas, E. Arié, Ph. Cardinet, A. Valentin, A. Henry, J. Mol. Spectrosc. 81, 262 (1980).
[CrossRef]

Whittaker, E. T.

E. T. Whittaker, G. Robinson, The Calculus of Observations (Blackie and Son, Glasgow, 1926), Chap. 9.

Yamamoto, G.

G. Yamamoto, M. Tanaka, T. Aoki, J. Quant. Spectrosc. Radiat. Transfer 9, 371 (1969).
[CrossRef]

Yamanouchi, T.

M. Tanaka, T. Yamanouchi, J. Quant. Spectrosc. Radiat. Transfer 17, 421 (1977).
[CrossRef]

Young, L. D. G.

L. S. Rothman, L. D. G. Young, J. Quant. Spectrosc. Radiat Transfer 25, 505 (1981).
[CrossRef]

Appl. Opt. (3)

Appl. Spectrosc. (1)

Geophys. Res. Lett. (1)

E. Niple, W. G. Mankin, A. Goldman, D. G. Murcray, F. J. Murcray, Geophys. Res. Lett. 7, 489 (1980).
[CrossRef]

J. Mol. Spectrosc. (5)

C. P. Rinsland, A. Baldacci, K. Narahari Rao, J. Mol. Spectrosc. 81, 256 (1980).
[CrossRef]

H. D. Downing, B. J. Krohn, R. H. Hunt, J. Mol. Spectrosc. 55, 66 (1975).
[CrossRef]

R. A. Toth, J. Mol. Spectrosc. 53, 1 (1974).
[CrossRef]

Ph. Arcas, E. Arié, Ph. Cardinet, A. Valentin, A. Henry, J. Mol. Spectrosc. 81, 262 (1980).
[CrossRef]

Ph. Arcas, E. Arié, A. Valentin, A. Henry, J. Mol. Spectrosc. 96, 288 (1982).
[CrossRef]

J. Opt. Soc. Am. (1)

J. Quant. Spectrosc. Radiat Transfer (1)

L. S. Rothman, L. D. G. Young, J. Quant. Spectrosc. Radiat Transfer 25, 505 (1981).
[CrossRef]

J. Quant. Spectrosc. Radiat. Transfer (5)

C. L. Lin, J. H. Shaw, J. G. Calvert, J. Quant. Spectrosc. Radiat. Transfer 22, 253 (1979).
[CrossRef]

S. R. Drayson, J. Quant. Spectrosc. Radiat. Transfer 16, 611 (1976).
[CrossRef]

J. T. Twitty, P. L. Rarig, R. E. Thompson, J. Quant. Spectrosc. Radiat. Transfer 24, 529 (1980).
[CrossRef]

G. Yamamoto, M. Tanaka, T. Aoki, J. Quant. Spectrosc. Radiat. Transfer 9, 371 (1969).
[CrossRef]

M. Tanaka, T. Yamanouchi, J. Quant. Spectrosc. Radiat. Transfer 17, 421 (1977).
[CrossRef]

Other (2)

E. T. Whittaker, G. Robinson, The Calculus of Observations (Blackie and Son, Glasgow, 1926), Chap. 9.

D. C. Benner, C. P. Rinsland, D. J. Richardson, T.-H. Soo, M. A. H. Smith, NASA Tech. Memo. 84612 (1983).

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Figures (3)

Fig. 1
Fig. 1

Q-branch region of the (1110)II ← 0000 band of 12C16O2 recorded with a sample pressure of 9.857 Torr and an absorption path of 384 m. The zero signal level is marked at the lower left. Tick marks indicate the locations of the Q-branch lines. The Q2 and Q4 lines appear as a single feature; the Q10, Q30, and Q50 lines are numbered.

Fig. 2
Fig. 2

Laboratory spectrum (lower panel) recorded with 3.000 Torr of CO2 in a 384-m path at 25.2°C. Residuals (observed–calculated) between the observed spectrum and the least-squares best-fit to the data (upper panel) are expressed as a percentage of the maximum observed amplitude in the spectral region. Tick marks above the observed spectrum mark the positions of the ten lines included in the fitting procedure.

Fig. 3
Fig. 3

Residuals β (defined in text) as a function of m for the P and R branches (a) and as a function of J″ for the Q branch (b) with Eq. (3) for the F factor (solid triangles) and with Eq. (4) for the F factor (open circles).

Tables (4)

Tables Icon

Table I Experimental Conditions

Tables Icon

Table II Sv (cm−1/molecule cm−2 at 296 K) and F-factor Coefficients Derived for the (1110)II ← 0000 Band of 12C16O2

Tables Icon

Table III Observed and Calculated Line Intensities (cm−1/molecuIe cm−2 at 296 K) of the (1110)II ← 0000 Band of 12C16O2

Tables Icon

Table IV Comparison of Intensities in 10−22 cm−1/molecule cm−2 at 296 K Units for the (1110)II ← 0000 Band of 12C16O2

Equations (6)

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S i = ν i ν 0 S υ L i Q r exp ( C 2 E i / T 0 ) [ 1 exp ( C 2 ν i / T 0 ) ] F ,
L i = | m + 1 | P and R branches , L i = 2 J + 1 Q branch ,
F = [ 1 + A 1 m + A 2 m 2 + A 3 m 3 + A 4 J ( J + 1 ) ] 2 P and R branches , F = [ 1 + A 4 J ( J + 1 ) ] 2 Q branch ,
F = ( 1 + ξ m ) 2 P and R branches , F = 1 Q branch ,
β = ( S obs S calc ) / S calc ,
S band = J S ( J ) + m S ( m ) ,

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