Abstract

Theoretical results for the far-wing line shapes and corresponding absorption coefficients in the high-frequency wing of the ν 3 fundamental band of self-broadened CO2 are presented for a number of temperatures between 218 and 751 K. These first-principles calculations are made assuming binary collisions within the framework of a quasi-static theory with a more accurate interaction potential than in previous calculations. The theoretical results are compared with existing laboratory data and are in good agreement for all the temperatures considered.

© 1999 Optical Society of America

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  1. C. P. Rinsland, M. A. H. Smith, J. M. Russell, J. H. Park, C. B. Farmer, “Stratospheric measurements of continuous absorption near 2400 cm-1,” Appl. Opt. 20, 4167–4171 (1981).
    [CrossRef] [PubMed]
  2. J. B. Pollack, J. B. Dalton, D. Grinspoon, R. B. Wattson, R. Freedman, D. Crisp, D. A. Allen, B. Bezard, C. deBergh, L. P. Giver, Q. Ma, R. H. Tipping, “Near-infrared light from Venus’ nightside: a spectroscopic analysis,” Icarus 103, 1–42 (1993).
    [CrossRef]
  3. B. H. Winters, S. Silverman, W. S. Benedict, “Line shape in the wing beyond the band head of the 4.3 µm band of CO2,” J. Quant. Spectrosc. Radiat. Transfer 4, 527–537 (1964).
    [CrossRef]
  4. D. E. Burch, D. A. Gryvnak, R. R. Patty, C. E. Bartky, “Absorption of infrared radiant energy by CO2 and H2O. IV. Shapes of collision-broadened CO2 lines,” J. Opt. Soc. Am. 59, 267–280 (1969).
    [CrossRef]
  5. C. Boulet, J. Boissoles, D. Robert, “Collisionally induced population transfer effects in infrared absorption spectra. I. A line-by-line coupling theory from resonances to the far wing,” J. Chem. Phys. 89, 625–634 (1988); J. Boissoles, V. Menoux, R. Le Doucen, C. Boulet, D. Robert, “Collisionally induced population transfer effects in infrared absorption spectra. II. The wing of the Ar-broadened ν3 band of CO2,” J. Chem. Phys. 91, 2163–2171 (1989).
    [CrossRef]
  6. Q. Ma, R. H. Tipping, C. Boulet, “The frequency detuning and band-average approximations in a far-wing line shape theory satisfying detailed balance,” J. Chem. Phys. 104, 9678–9688 (1996).
    [CrossRef]
  7. Q. Ma, R. H. Tipping, “The distribution of density matrices over potential-energy surfaces: application to the calculation of the far-wing line shapes for CO2,” J. Chem. Phys. 108, 3386–3399 (1998).
    [CrossRef]
  8. L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. Chris Benner, V. Malathy Devi, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, ” The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
    [CrossRef]
  9. L. S. Rothman, “HITEMP database,” U.S. Air Force Optical EnvironmentDivision, Hanscom Air Force Base, MA, (personal communication, 1996).
  10. P. W. Rosenkranz, “Pressure broadening of rotational bands. I. A statistical theory,” J. Chem. Phys. 83, 6139–6144 (1985); “Pressure broadening of rotational bands. II. Water vapor from 300 to 1100 cm-1,” J. Chem. Phys. 87, 163–170 (1987).
    [CrossRef]
  11. Q. Ma, R. H. Tipping, “A far wing line shape theory and its application to the water continuum absorption in the infrared region. I,” J. Chem. Phys. 95, 6290–6301 (1991); “A far wing line shape theory and its application to the water vibrational bands. II,” J. Chem. Phys. 96, 8655–8663 (1992); “A far wing line shape theory and its application to foreign broadened water continuum absorption. III,” J. Chem. Phys. 97, 818–828 (1992).
    [CrossRef]
  12. M. V. Tonkov, N. N. Filippov, “Form of the bands in the vibrational-rotational spectra of gases far from the line centers,” Opt. Spectrosc. 50, 144–148 (1981).
  13. J. G. Parker, “Rotational and vibrational relaxation in diatomic gases,” Phys. Fluids 2, 449–462 (1959).
    [CrossRef]
  14. C. G. Gray, K. E. Gubbins, Theory of Molecular Fluids (Oxford U. Press, Oxford, 1984).
  15. R. Le Doucen, C. Cousin, C. Boulet, A. Henry, “Temperature dependence of the absorption in the region beyond the 4.3-µm band head of CO2. I: Pure CO2 case,” Appl. Opt. 24, 897–906 (1985).
    [CrossRef]
  16. J.-M. Hartmann, M.-Y. Perrin, “Measurements of pure CO2 absorption beyond the ν3 band head at high temperature,” Appl. Opt. 28, 2550–2553 (1989).
    [CrossRef] [PubMed]

1998 (1)

Q. Ma, R. H. Tipping, “The distribution of density matrices over potential-energy surfaces: application to the calculation of the far-wing line shapes for CO2,” J. Chem. Phys. 108, 3386–3399 (1998).
[CrossRef]

1996 (1)

Q. Ma, R. H. Tipping, C. Boulet, “The frequency detuning and band-average approximations in a far-wing line shape theory satisfying detailed balance,” J. Chem. Phys. 104, 9678–9688 (1996).
[CrossRef]

1993 (1)

J. B. Pollack, J. B. Dalton, D. Grinspoon, R. B. Wattson, R. Freedman, D. Crisp, D. A. Allen, B. Bezard, C. deBergh, L. P. Giver, Q. Ma, R. H. Tipping, “Near-infrared light from Venus’ nightside: a spectroscopic analysis,” Icarus 103, 1–42 (1993).
[CrossRef]

1992 (1)

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. Chris Benner, V. Malathy Devi, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, ” The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

1991 (1)

Q. Ma, R. H. Tipping, “A far wing line shape theory and its application to the water continuum absorption in the infrared region. I,” J. Chem. Phys. 95, 6290–6301 (1991); “A far wing line shape theory and its application to the water vibrational bands. II,” J. Chem. Phys. 96, 8655–8663 (1992); “A far wing line shape theory and its application to foreign broadened water continuum absorption. III,” J. Chem. Phys. 97, 818–828 (1992).
[CrossRef]

1989 (1)

1988 (1)

C. Boulet, J. Boissoles, D. Robert, “Collisionally induced population transfer effects in infrared absorption spectra. I. A line-by-line coupling theory from resonances to the far wing,” J. Chem. Phys. 89, 625–634 (1988); J. Boissoles, V. Menoux, R. Le Doucen, C. Boulet, D. Robert, “Collisionally induced population transfer effects in infrared absorption spectra. II. The wing of the Ar-broadened ν3 band of CO2,” J. Chem. Phys. 91, 2163–2171 (1989).
[CrossRef]

1985 (2)

P. W. Rosenkranz, “Pressure broadening of rotational bands. I. A statistical theory,” J. Chem. Phys. 83, 6139–6144 (1985); “Pressure broadening of rotational bands. II. Water vapor from 300 to 1100 cm-1,” J. Chem. Phys. 87, 163–170 (1987).
[CrossRef]

R. Le Doucen, C. Cousin, C. Boulet, A. Henry, “Temperature dependence of the absorption in the region beyond the 4.3-µm band head of CO2. I: Pure CO2 case,” Appl. Opt. 24, 897–906 (1985).
[CrossRef]

1981 (2)

C. P. Rinsland, M. A. H. Smith, J. M. Russell, J. H. Park, C. B. Farmer, “Stratospheric measurements of continuous absorption near 2400 cm-1,” Appl. Opt. 20, 4167–4171 (1981).
[CrossRef] [PubMed]

M. V. Tonkov, N. N. Filippov, “Form of the bands in the vibrational-rotational spectra of gases far from the line centers,” Opt. Spectrosc. 50, 144–148 (1981).

1969 (1)

1964 (1)

B. H. Winters, S. Silverman, W. S. Benedict, “Line shape in the wing beyond the band head of the 4.3 µm band of CO2,” J. Quant. Spectrosc. Radiat. Transfer 4, 527–537 (1964).
[CrossRef]

1959 (1)

J. G. Parker, “Rotational and vibrational relaxation in diatomic gases,” Phys. Fluids 2, 449–462 (1959).
[CrossRef]

Allen, D. A.

J. B. Pollack, J. B. Dalton, D. Grinspoon, R. B. Wattson, R. Freedman, D. Crisp, D. A. Allen, B. Bezard, C. deBergh, L. P. Giver, Q. Ma, R. H. Tipping, “Near-infrared light from Venus’ nightside: a spectroscopic analysis,” Icarus 103, 1–42 (1993).
[CrossRef]

Bartky, C. E.

Benedict, W. S.

B. H. Winters, S. Silverman, W. S. Benedict, “Line shape in the wing beyond the band head of the 4.3 µm band of CO2,” J. Quant. Spectrosc. Radiat. Transfer 4, 527–537 (1964).
[CrossRef]

Bezard, B.

J. B. Pollack, J. B. Dalton, D. Grinspoon, R. B. Wattson, R. Freedman, D. Crisp, D. A. Allen, B. Bezard, C. deBergh, L. P. Giver, Q. Ma, R. H. Tipping, “Near-infrared light from Venus’ nightside: a spectroscopic analysis,” Icarus 103, 1–42 (1993).
[CrossRef]

Boissoles, J.

C. Boulet, J. Boissoles, D. Robert, “Collisionally induced population transfer effects in infrared absorption spectra. I. A line-by-line coupling theory from resonances to the far wing,” J. Chem. Phys. 89, 625–634 (1988); J. Boissoles, V. Menoux, R. Le Doucen, C. Boulet, D. Robert, “Collisionally induced population transfer effects in infrared absorption spectra. II. The wing of the Ar-broadened ν3 band of CO2,” J. Chem. Phys. 91, 2163–2171 (1989).
[CrossRef]

Boulet, C.

Q. Ma, R. H. Tipping, C. Boulet, “The frequency detuning and band-average approximations in a far-wing line shape theory satisfying detailed balance,” J. Chem. Phys. 104, 9678–9688 (1996).
[CrossRef]

C. Boulet, J. Boissoles, D. Robert, “Collisionally induced population transfer effects in infrared absorption spectra. I. A line-by-line coupling theory from resonances to the far wing,” J. Chem. Phys. 89, 625–634 (1988); J. Boissoles, V. Menoux, R. Le Doucen, C. Boulet, D. Robert, “Collisionally induced population transfer effects in infrared absorption spectra. II. The wing of the Ar-broadened ν3 band of CO2,” J. Chem. Phys. 91, 2163–2171 (1989).
[CrossRef]

R. Le Doucen, C. Cousin, C. Boulet, A. Henry, “Temperature dependence of the absorption in the region beyond the 4.3-µm band head of CO2. I: Pure CO2 case,” Appl. Opt. 24, 897–906 (1985).
[CrossRef]

Brown, L. R.

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. Chris Benner, V. Malathy Devi, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, ” The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

Burch, D. E.

Camy-Peyret, C.

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. Chris Benner, V. Malathy Devi, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, ” The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

Chris Benner, D.

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. Chris Benner, V. Malathy Devi, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, ” The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

Cousin, C.

Crisp, D.

J. B. Pollack, J. B. Dalton, D. Grinspoon, R. B. Wattson, R. Freedman, D. Crisp, D. A. Allen, B. Bezard, C. deBergh, L. P. Giver, Q. Ma, R. H. Tipping, “Near-infrared light from Venus’ nightside: a spectroscopic analysis,” Icarus 103, 1–42 (1993).
[CrossRef]

Dalton, J. B.

J. B. Pollack, J. B. Dalton, D. Grinspoon, R. B. Wattson, R. Freedman, D. Crisp, D. A. Allen, B. Bezard, C. deBergh, L. P. Giver, Q. Ma, R. H. Tipping, “Near-infrared light from Venus’ nightside: a spectroscopic analysis,” Icarus 103, 1–42 (1993).
[CrossRef]

deBergh, C.

J. B. Pollack, J. B. Dalton, D. Grinspoon, R. B. Wattson, R. Freedman, D. Crisp, D. A. Allen, B. Bezard, C. deBergh, L. P. Giver, Q. Ma, R. H. Tipping, “Near-infrared light from Venus’ nightside: a spectroscopic analysis,” Icarus 103, 1–42 (1993).
[CrossRef]

Farmer, C. B.

Filippov, N. N.

M. V. Tonkov, N. N. Filippov, “Form of the bands in the vibrational-rotational spectra of gases far from the line centers,” Opt. Spectrosc. 50, 144–148 (1981).

Flaud, J.-M.

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. Chris Benner, V. Malathy Devi, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, ” The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

Freedman, R.

J. B. Pollack, J. B. Dalton, D. Grinspoon, R. B. Wattson, R. Freedman, D. Crisp, D. A. Allen, B. Bezard, C. deBergh, L. P. Giver, Q. Ma, R. H. Tipping, “Near-infrared light from Venus’ nightside: a spectroscopic analysis,” Icarus 103, 1–42 (1993).
[CrossRef]

Gamache, R. R.

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. Chris Benner, V. Malathy Devi, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, ” The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

Giver, L. P.

J. B. Pollack, J. B. Dalton, D. Grinspoon, R. B. Wattson, R. Freedman, D. Crisp, D. A. Allen, B. Bezard, C. deBergh, L. P. Giver, Q. Ma, R. H. Tipping, “Near-infrared light from Venus’ nightside: a spectroscopic analysis,” Icarus 103, 1–42 (1993).
[CrossRef]

Goldman, A.

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. Chris Benner, V. Malathy Devi, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, ” The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

Gray, C. G.

C. G. Gray, K. E. Gubbins, Theory of Molecular Fluids (Oxford U. Press, Oxford, 1984).

Grinspoon, D.

J. B. Pollack, J. B. Dalton, D. Grinspoon, R. B. Wattson, R. Freedman, D. Crisp, D. A. Allen, B. Bezard, C. deBergh, L. P. Giver, Q. Ma, R. H. Tipping, “Near-infrared light from Venus’ nightside: a spectroscopic analysis,” Icarus 103, 1–42 (1993).
[CrossRef]

Gryvnak, D. A.

Gubbins, K. E.

C. G. Gray, K. E. Gubbins, Theory of Molecular Fluids (Oxford U. Press, Oxford, 1984).

Hartmann, J.-M.

Henry, A.

Le Doucen, R.

Ma, Q.

Q. Ma, R. H. Tipping, “The distribution of density matrices over potential-energy surfaces: application to the calculation of the far-wing line shapes for CO2,” J. Chem. Phys. 108, 3386–3399 (1998).
[CrossRef]

Q. Ma, R. H. Tipping, C. Boulet, “The frequency detuning and band-average approximations in a far-wing line shape theory satisfying detailed balance,” J. Chem. Phys. 104, 9678–9688 (1996).
[CrossRef]

J. B. Pollack, J. B. Dalton, D. Grinspoon, R. B. Wattson, R. Freedman, D. Crisp, D. A. Allen, B. Bezard, C. deBergh, L. P. Giver, Q. Ma, R. H. Tipping, “Near-infrared light from Venus’ nightside: a spectroscopic analysis,” Icarus 103, 1–42 (1993).
[CrossRef]

Q. Ma, R. H. Tipping, “A far wing line shape theory and its application to the water continuum absorption in the infrared region. I,” J. Chem. Phys. 95, 6290–6301 (1991); “A far wing line shape theory and its application to the water vibrational bands. II,” J. Chem. Phys. 96, 8655–8663 (1992); “A far wing line shape theory and its application to foreign broadened water continuum absorption. III,” J. Chem. Phys. 97, 818–828 (1992).
[CrossRef]

Malathy Devi, V.

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. Chris Benner, V. Malathy Devi, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, ” The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

Massie, S. T.

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. Chris Benner, V. Malathy Devi, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, ” The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

Park, J. H.

Parker, J. G.

J. G. Parker, “Rotational and vibrational relaxation in diatomic gases,” Phys. Fluids 2, 449–462 (1959).
[CrossRef]

Patty, R. R.

Perrin, A.

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. Chris Benner, V. Malathy Devi, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, ” The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

Perrin, M.-Y.

Pollack, J. B.

J. B. Pollack, J. B. Dalton, D. Grinspoon, R. B. Wattson, R. Freedman, D. Crisp, D. A. Allen, B. Bezard, C. deBergh, L. P. Giver, Q. Ma, R. H. Tipping, “Near-infrared light from Venus’ nightside: a spectroscopic analysis,” Icarus 103, 1–42 (1993).
[CrossRef]

Rinsland, C. P.

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. Chris Benner, V. Malathy Devi, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, ” The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

C. P. Rinsland, M. A. H. Smith, J. M. Russell, J. H. Park, C. B. Farmer, “Stratospheric measurements of continuous absorption near 2400 cm-1,” Appl. Opt. 20, 4167–4171 (1981).
[CrossRef] [PubMed]

Robert, D.

C. Boulet, J. Boissoles, D. Robert, “Collisionally induced population transfer effects in infrared absorption spectra. I. A line-by-line coupling theory from resonances to the far wing,” J. Chem. Phys. 89, 625–634 (1988); J. Boissoles, V. Menoux, R. Le Doucen, C. Boulet, D. Robert, “Collisionally induced population transfer effects in infrared absorption spectra. II. The wing of the Ar-broadened ν3 band of CO2,” J. Chem. Phys. 91, 2163–2171 (1989).
[CrossRef]

Rosenkranz, P. W.

P. W. Rosenkranz, “Pressure broadening of rotational bands. I. A statistical theory,” J. Chem. Phys. 83, 6139–6144 (1985); “Pressure broadening of rotational bands. II. Water vapor from 300 to 1100 cm-1,” J. Chem. Phys. 87, 163–170 (1987).
[CrossRef]

Rothman, L. S.

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. Chris Benner, V. Malathy Devi, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, ” The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

L. S. Rothman, “HITEMP database,” U.S. Air Force Optical EnvironmentDivision, Hanscom Air Force Base, MA, (personal communication, 1996).

Russell, J. M.

Silverman, S.

B. H. Winters, S. Silverman, W. S. Benedict, “Line shape in the wing beyond the band head of the 4.3 µm band of CO2,” J. Quant. Spectrosc. Radiat. Transfer 4, 527–537 (1964).
[CrossRef]

Smith, M. A. H.

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. Chris Benner, V. Malathy Devi, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, ” The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

C. P. Rinsland, M. A. H. Smith, J. M. Russell, J. H. Park, C. B. Farmer, “Stratospheric measurements of continuous absorption near 2400 cm-1,” Appl. Opt. 20, 4167–4171 (1981).
[CrossRef] [PubMed]

Tipping, R. H.

Q. Ma, R. H. Tipping, “The distribution of density matrices over potential-energy surfaces: application to the calculation of the far-wing line shapes for CO2,” J. Chem. Phys. 108, 3386–3399 (1998).
[CrossRef]

Q. Ma, R. H. Tipping, C. Boulet, “The frequency detuning and band-average approximations in a far-wing line shape theory satisfying detailed balance,” J. Chem. Phys. 104, 9678–9688 (1996).
[CrossRef]

J. B. Pollack, J. B. Dalton, D. Grinspoon, R. B. Wattson, R. Freedman, D. Crisp, D. A. Allen, B. Bezard, C. deBergh, L. P. Giver, Q. Ma, R. H. Tipping, “Near-infrared light from Venus’ nightside: a spectroscopic analysis,” Icarus 103, 1–42 (1993).
[CrossRef]

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. Chris Benner, V. Malathy Devi, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, ” The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

Q. Ma, R. H. Tipping, “A far wing line shape theory and its application to the water continuum absorption in the infrared region. I,” J. Chem. Phys. 95, 6290–6301 (1991); “A far wing line shape theory and its application to the water vibrational bands. II,” J. Chem. Phys. 96, 8655–8663 (1992); “A far wing line shape theory and its application to foreign broadened water continuum absorption. III,” J. Chem. Phys. 97, 818–828 (1992).
[CrossRef]

Tonkov, M. V.

M. V. Tonkov, N. N. Filippov, “Form of the bands in the vibrational-rotational spectra of gases far from the line centers,” Opt. Spectrosc. 50, 144–148 (1981).

Toth, R. A.

L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. Chris Benner, V. Malathy Devi, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, R. A. Toth, ” The HITRAN molecular database: editions of 1991 and 1992,” J. Quant. Spectrosc. Radiat. Transfer 48, 469–507 (1992).
[CrossRef]

Wattson, R. B.

J. B. Pollack, J. B. Dalton, D. Grinspoon, R. B. Wattson, R. Freedman, D. Crisp, D. A. Allen, B. Bezard, C. deBergh, L. P. Giver, Q. Ma, R. H. Tipping, “Near-infrared light from Venus’ nightside: a spectroscopic analysis,” Icarus 103, 1–42 (1993).
[CrossRef]

Winters, B. H.

B. H. Winters, S. Silverman, W. S. Benedict, “Line shape in the wing beyond the band head of the 4.3 µm band of CO2,” J. Quant. Spectrosc. Radiat. Transfer 4, 527–537 (1964).
[CrossRef]

Appl. Opt. (3)

Icarus (1)

J. B. Pollack, J. B. Dalton, D. Grinspoon, R. B. Wattson, R. Freedman, D. Crisp, D. A. Allen, B. Bezard, C. deBergh, L. P. Giver, Q. Ma, R. H. Tipping, “Near-infrared light from Venus’ nightside: a spectroscopic analysis,” Icarus 103, 1–42 (1993).
[CrossRef]

J. Chem. Phys. (5)

C. Boulet, J. Boissoles, D. Robert, “Collisionally induced population transfer effects in infrared absorption spectra. I. A line-by-line coupling theory from resonances to the far wing,” J. Chem. Phys. 89, 625–634 (1988); J. Boissoles, V. Menoux, R. Le Doucen, C. Boulet, D. Robert, “Collisionally induced population transfer effects in infrared absorption spectra. II. The wing of the Ar-broadened ν3 band of CO2,” J. Chem. Phys. 91, 2163–2171 (1989).
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Q. Ma, R. H. Tipping, C. Boulet, “The frequency detuning and band-average approximations in a far-wing line shape theory satisfying detailed balance,” J. Chem. Phys. 104, 9678–9688 (1996).
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J. Opt. Soc. Am. (1)

J. Quant. Spectrosc. Radiat. Transfer (2)

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Opt. Spectrosc. (1)

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Figures (4)

Fig. 1
Fig. 1

Theoretical far-wing line shape as a function of frequency ω for T = 296 K calculated with two different resolutions for the multidimensional integrations; the solid curve has a resolution approximately 32× times smaller than that of the dashed curve.

Fig. 2
Fig. 2

Theoretical far-wing line shapes as a function of frequency ω for temperatures ——, 218 K; – – –, 291 K; · · · · ·, 414 K; — · —, 534 K; — · · —, 627 K; and — · · · —, 751 K. The line shape for 296 K is shown in Fig. 1.

Fig. 3
Fig. 3

Calculated absorption coefficient α(ω) in the 2400–2580-cm-1 spectral region of CO2–CO2 is represented by the solid curve; the experimental data from Ref. 15 are indicated by pluses. (a) T = 296 K, (b) T = 218 K. The absorption calculated assuming a Lorentzian line shape is given by the dashed curve.

Fig. 4
Fig. 4

Calculated absorption coefficient α(ω) in the 2400–2580-cm-1 spectral region of CO2–CO2 is represented by the solid curve; the experimental data from Ref. 16 are indicated by triangles. (a) T = 291 K, (b) T = 414 K, (c) T = 534 K, (d) T = 627 K, (e) T = 751 K. The absorption calculated assuming a Lorentzian line shape is given by the dashed curve.

Equations (11)

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αω=4π23c naω tanhω/2kTFω+F-ω,
Fω=1π Re Tr 0μρ  expiL-ωtρμdt,
Fω=exp-ω/kTF-ω.
Fω=1πωij>0exp-ω-ωij/2kT×1ω-ωij2χˆω-ωij+1ω+ωij2χˆω+ωijρi|μij|2,
Vr, Ωa, Ωb=Visor+Vanir, Ωa, Ωb,
χˆω=4π2nbω2αβ |α|ρaρbμ1/2|β|2×rc21Gαβrcexp-Gαrc+Gβrc/2kT-Visorc/kTij ρi|μij|2,
Vanir, Ωa, Ωb|α=Gαr|α,
ω=Gαrc-Gβrc.
Visor=4σ/r12-σ/r6,
Vqqr, Ωa, Ωb=3Q24r51-5 cos2 θa-5 cos2 θb-15 cos2 θa cos2 θb+2sin θa sin θb cosϕa-ϕb-4 cos θa cos θb2
Vsrr, Ωa, Ωb=V0iajb exp-rij/ρ0,

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