Abstract

Equivalent widths of the 2.7- and 4.3-μm CO2 bands have been measured at high pressures up to 50 atm. These equivalent widths can be expressed by the empirical equation of the form W=cumPen.. The line-by-line calculations for the equivalent width showed that the empirical values of Winters et al., [“ 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)] are also applicable to our high pressure experiments for the 4.3-μm CO2 band. Using the curve-of-growth method, the band intensities of the 5.2-, 9.4-, and 10.4-μm CO2 bands were estimated to be 0.0199 cm−2 atm−1 STP, 0.0340 cm−2 atm−1 STP and 0.0208 cm−2 atm−1 STP, respectively.

© 1990 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. M. Fukabori, T. Nakazawa, M. Tanaka, “Absorption Properties of Infrared Active Gases at High Pressures—I. CO2,” J. Quant. Spectrosc. Radiat. Transfer 36, 265–270 (1986).
    [CrossRef]
  2. D. E. Burch, D. A. Gryvnak, D. Williams, “Total Absorptance of Carbon Dioxide in the Infrared,” Appl. Opt. 1, 759–765 (1962).
    [CrossRef]
  3. M. Hirono, “Band Intensities of the 2.7 μm and 4.8 μm CO2 Bands,” J. Phys. Soc. Jpn. 55, 3825–3830 (1986).
    [CrossRef]
  4. D. E. Burch, D. Williams, “Total Absorptance by Nitrous Oxide Bands in the Infrared,” Appl. Opt. 1, 473–482 (1962).
    [CrossRef]
  5. W. S. Benedict, R. Herman, G. E. Moore, S. Silverman, “The Strengths, Widths and Shapes of Lines in the Vibration-Rotation Bands of CO,” Astrophys. J. 135, 277–297 (1962).
    [CrossRef]
  6. 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]
  7. L. S. Rothman et al., “The hitran Database: 1986 Edition,” Appl. Opt. 26, 4058–4097 (1987).
    [CrossRef] [PubMed]
  8. E. B. Wilson, A. J. Wells, “The Experimental Determination of the Intensities of Infra-Red Absorption Bands,” J. Chem. Phys. 14, 578–580 (1946).
    [CrossRef]
  9. S. S. Penner, D. Weber, “Quantitative Infrared Intensity Measurements. I. Carbon Monoxide Pressurized with Infrared-Inactive Gases,” J. Chem. Phys. 19, 807–816 (1951).
    [CrossRef]
  10. R. E. Ellis, B. Schurin, “Integrated Intensity Measurements of Carbon Dioxide Bands in the 4.82 μ and 5.17 μ Regions,” Appl. Opt. 8, 2265–2268 (1969).
    [CrossRef] [PubMed]
  11. M. Tanaka, T. Yamanouchi, “Absorption Properties of the Near Infrared CO2 Bands,” J. Quant. Spectrosc. Radiat. Transfer 17, 421–432 (1977).
    [CrossRef]
  12. C. P. Rinsland, D. C. Benner, V. M. Devi, “Measurements of Absolute Line Intensities in Carbon Dioxide Bands Near 5.2 μm,” Appl. Opt. 24, 1644–1658 (1985).
    [CrossRef] [PubMed]
  13. D. F. Eggers, B. L. Crawford, “Vibrational Intensities. III. Carbon Dioxide and Nitrous Oxide,” J. Chem. Phys. 19, 1554–1561 (1951).
    [CrossRef]
  14. D. Weber, R. J. Holm, S. S. Penner, “Integrated Absorption for Vibration-Rotation Bands of CO2,” J. Chem. Phys. 20, 1820 (1952).
    [CrossRef]
  15. L. D. Gray, “Calculation of Carbon Dioxide Transmission Part I—The 9.4 μm and 10.4 μm Bands,” J. Quant. Spectrosc. Radiat. Transfer 7, 143–150 (1967).
    [CrossRef]
  16. B. Schurin, R. E. Ellis, “Total Intensity Measurements for the CO2 Bands in the 961-cm−1 and 1061-cm−1 Regions,” Appl. Opt. 9, 223–224 (1970).
    [CrossRef] [PubMed]
  17. C. Young, R. E. Chapman, “Line Widths and Band Strengths for the 9.4- and 10.4-μm CO2 Bands,” J. Quant. Spectrosc. Radiat. Transfer 14, 679–690 (1974).
    [CrossRef]
  18. M. S. Abubakar, J. H. Shaw, “Carbon Dioxide Band Intensities and Linewidths in the 8–12-μm Region,” Appl. Opt. 25, 1196–1203 (1986).
    [CrossRef] [PubMed]
  19. H. J. Kostkowski, “Line Half-Widths and Intensities from the Infrared Transmission of Thermally Excited CO2,” Progress Report on Contract No. 248 (01) (Johns Hopkins U., Baltimore, 1955).
  20. T. K. McCubbin, T. R. Mooney, “A Study of the Strengths and Widths of Lines in the 9.4- and 10.4-μm CO2 Bands,” J. Quant. Spectrosc. Radiat. Transfer 8, 1255–1264 (1968).
    [CrossRef]
  21. S. S. Penner, Quantitative Molecular Spectroscopy and Gas Emissivities, (Addison-Wesley, Reading, MA., 1959).
  22. S. I. Rasool, “Line Intensities of CO2 from Solar Spectra,” Mem. Soc. R. Sci. Liege 5th Ser. 9, 55 (1964).
  23. G. N. Plass, “Useful Representations for Measurements of Spectral Band Absorption,” J. Opt. Soc. Am. 50, 868–875 (1960).
    [CrossRef]
  24. J. H. Pierluissi, C.-M. Tsai, “New lowtran Models for the Uniformly Mixed Gases,” Appl. Opt. 26, 616–618 (1987).
    [CrossRef] [PubMed]
  25. A. Michels, C. Michels, “Series Evaluation of the Isotherm Data of CO2 Between 0 and 150 C and up to 3000 atm,” Proc. R. Soc. London Ser. A 160, 348–357 (1937).
    [CrossRef]

1987 (2)

1986 (3)

M. S. Abubakar, J. H. Shaw, “Carbon Dioxide Band Intensities and Linewidths in the 8–12-μm Region,” Appl. Opt. 25, 1196–1203 (1986).
[CrossRef] [PubMed]

M. Fukabori, T. Nakazawa, M. Tanaka, “Absorption Properties of Infrared Active Gases at High Pressures—I. CO2,” J. Quant. Spectrosc. Radiat. Transfer 36, 265–270 (1986).
[CrossRef]

M. Hirono, “Band Intensities of the 2.7 μm and 4.8 μm CO2 Bands,” J. Phys. Soc. Jpn. 55, 3825–3830 (1986).
[CrossRef]

1985 (1)

1977 (1)

M. Tanaka, T. Yamanouchi, “Absorption Properties of the Near Infrared CO2 Bands,” J. Quant. Spectrosc. Radiat. Transfer 17, 421–432 (1977).
[CrossRef]

1974 (1)

C. Young, R. E. Chapman, “Line Widths and Band Strengths for the 9.4- and 10.4-μm CO2 Bands,” J. Quant. Spectrosc. Radiat. Transfer 14, 679–690 (1974).
[CrossRef]

1970 (1)

1969 (1)

1968 (1)

T. K. McCubbin, T. R. Mooney, “A Study of the Strengths and Widths of Lines in the 9.4- and 10.4-μm CO2 Bands,” J. Quant. Spectrosc. Radiat. Transfer 8, 1255–1264 (1968).
[CrossRef]

1967 (1)

L. D. Gray, “Calculation of Carbon Dioxide Transmission Part I—The 9.4 μm and 10.4 μm Bands,” J. Quant. Spectrosc. Radiat. Transfer 7, 143–150 (1967).
[CrossRef]

1964 (2)

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]

S. I. Rasool, “Line Intensities of CO2 from Solar Spectra,” Mem. Soc. R. Sci. Liege 5th Ser. 9, 55 (1964).

1962 (3)

1960 (1)

1952 (1)

D. Weber, R. J. Holm, S. S. Penner, “Integrated Absorption for Vibration-Rotation Bands of CO2,” J. Chem. Phys. 20, 1820 (1952).
[CrossRef]

1951 (2)

D. F. Eggers, B. L. Crawford, “Vibrational Intensities. III. Carbon Dioxide and Nitrous Oxide,” J. Chem. Phys. 19, 1554–1561 (1951).
[CrossRef]

S. S. Penner, D. Weber, “Quantitative Infrared Intensity Measurements. I. Carbon Monoxide Pressurized with Infrared-Inactive Gases,” J. Chem. Phys. 19, 807–816 (1951).
[CrossRef]

1946 (1)

E. B. Wilson, A. J. Wells, “The Experimental Determination of the Intensities of Infra-Red Absorption Bands,” J. Chem. Phys. 14, 578–580 (1946).
[CrossRef]

1937 (1)

A. Michels, C. Michels, “Series Evaluation of the Isotherm Data of CO2 Between 0 and 150 C and up to 3000 atm,” Proc. R. Soc. London Ser. A 160, 348–357 (1937).
[CrossRef]

Abubakar, M. S.

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]

W. S. Benedict, R. Herman, G. E. Moore, S. Silverman, “The Strengths, Widths and Shapes of Lines in the Vibration-Rotation Bands of CO,” Astrophys. J. 135, 277–297 (1962).
[CrossRef]

Benner, D. C.

Burch, D. E.

Chapman, R. E.

C. Young, R. E. Chapman, “Line Widths and Band Strengths for the 9.4- and 10.4-μm CO2 Bands,” J. Quant. Spectrosc. Radiat. Transfer 14, 679–690 (1974).
[CrossRef]

Crawford, B. L.

D. F. Eggers, B. L. Crawford, “Vibrational Intensities. III. Carbon Dioxide and Nitrous Oxide,” J. Chem. Phys. 19, 1554–1561 (1951).
[CrossRef]

Devi, V. M.

Eggers, D. F.

D. F. Eggers, B. L. Crawford, “Vibrational Intensities. III. Carbon Dioxide and Nitrous Oxide,” J. Chem. Phys. 19, 1554–1561 (1951).
[CrossRef]

Ellis, R. E.

Fukabori, M.

M. Fukabori, T. Nakazawa, M. Tanaka, “Absorption Properties of Infrared Active Gases at High Pressures—I. CO2,” J. Quant. Spectrosc. Radiat. Transfer 36, 265–270 (1986).
[CrossRef]

Gray, L. D.

L. D. Gray, “Calculation of Carbon Dioxide Transmission Part I—The 9.4 μm and 10.4 μm Bands,” J. Quant. Spectrosc. Radiat. Transfer 7, 143–150 (1967).
[CrossRef]

Gryvnak, D. A.

Herman, R.

W. S. Benedict, R. Herman, G. E. Moore, S. Silverman, “The Strengths, Widths and Shapes of Lines in the Vibration-Rotation Bands of CO,” Astrophys. J. 135, 277–297 (1962).
[CrossRef]

Hirono, M.

M. Hirono, “Band Intensities of the 2.7 μm and 4.8 μm CO2 Bands,” J. Phys. Soc. Jpn. 55, 3825–3830 (1986).
[CrossRef]

Holm, R. J.

D. Weber, R. J. Holm, S. S. Penner, “Integrated Absorption for Vibration-Rotation Bands of CO2,” J. Chem. Phys. 20, 1820 (1952).
[CrossRef]

Kostkowski, H. J.

H. J. Kostkowski, “Line Half-Widths and Intensities from the Infrared Transmission of Thermally Excited CO2,” Progress Report on Contract No. 248 (01) (Johns Hopkins U., Baltimore, 1955).

McCubbin, T. K.

T. K. McCubbin, T. R. Mooney, “A Study of the Strengths and Widths of Lines in the 9.4- and 10.4-μm CO2 Bands,” J. Quant. Spectrosc. Radiat. Transfer 8, 1255–1264 (1968).
[CrossRef]

Michels, A.

A. Michels, C. Michels, “Series Evaluation of the Isotherm Data of CO2 Between 0 and 150 C and up to 3000 atm,” Proc. R. Soc. London Ser. A 160, 348–357 (1937).
[CrossRef]

Michels, C.

A. Michels, C. Michels, “Series Evaluation of the Isotherm Data of CO2 Between 0 and 150 C and up to 3000 atm,” Proc. R. Soc. London Ser. A 160, 348–357 (1937).
[CrossRef]

Mooney, T. R.

T. K. McCubbin, T. R. Mooney, “A Study of the Strengths and Widths of Lines in the 9.4- and 10.4-μm CO2 Bands,” J. Quant. Spectrosc. Radiat. Transfer 8, 1255–1264 (1968).
[CrossRef]

Moore, G. E.

W. S. Benedict, R. Herman, G. E. Moore, S. Silverman, “The Strengths, Widths and Shapes of Lines in the Vibration-Rotation Bands of CO,” Astrophys. J. 135, 277–297 (1962).
[CrossRef]

Nakazawa, T.

M. Fukabori, T. Nakazawa, M. Tanaka, “Absorption Properties of Infrared Active Gases at High Pressures—I. CO2,” J. Quant. Spectrosc. Radiat. Transfer 36, 265–270 (1986).
[CrossRef]

Penner, S. S.

D. Weber, R. J. Holm, S. S. Penner, “Integrated Absorption for Vibration-Rotation Bands of CO2,” J. Chem. Phys. 20, 1820 (1952).
[CrossRef]

S. S. Penner, D. Weber, “Quantitative Infrared Intensity Measurements. I. Carbon Monoxide Pressurized with Infrared-Inactive Gases,” J. Chem. Phys. 19, 807–816 (1951).
[CrossRef]

S. S. Penner, Quantitative Molecular Spectroscopy and Gas Emissivities, (Addison-Wesley, Reading, MA., 1959).

Pierluissi, J. H.

Plass, G. N.

Rasool, S. I.

S. I. Rasool, “Line Intensities of CO2 from Solar Spectra,” Mem. Soc. R. Sci. Liege 5th Ser. 9, 55 (1964).

Rinsland, C. P.

Rothman, L. S.

Schurin, B.

Shaw, J. H.

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]

W. S. Benedict, R. Herman, G. E. Moore, S. Silverman, “The Strengths, Widths and Shapes of Lines in the Vibration-Rotation Bands of CO,” Astrophys. J. 135, 277–297 (1962).
[CrossRef]

Tanaka, M.

M. Fukabori, T. Nakazawa, M. Tanaka, “Absorption Properties of Infrared Active Gases at High Pressures—I. CO2,” J. Quant. Spectrosc. Radiat. Transfer 36, 265–270 (1986).
[CrossRef]

M. Tanaka, T. Yamanouchi, “Absorption Properties of the Near Infrared CO2 Bands,” J. Quant. Spectrosc. Radiat. Transfer 17, 421–432 (1977).
[CrossRef]

Tsai, C.-M.

Weber, D.

D. Weber, R. J. Holm, S. S. Penner, “Integrated Absorption for Vibration-Rotation Bands of CO2,” J. Chem. Phys. 20, 1820 (1952).
[CrossRef]

S. S. Penner, D. Weber, “Quantitative Infrared Intensity Measurements. I. Carbon Monoxide Pressurized with Infrared-Inactive Gases,” J. Chem. Phys. 19, 807–816 (1951).
[CrossRef]

Wells, A. J.

E. B. Wilson, A. J. Wells, “The Experimental Determination of the Intensities of Infra-Red Absorption Bands,” J. Chem. Phys. 14, 578–580 (1946).
[CrossRef]

Williams, D.

Wilson, E. B.

E. B. Wilson, A. J. Wells, “The Experimental Determination of the Intensities of Infra-Red Absorption Bands,” J. Chem. Phys. 14, 578–580 (1946).
[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]

Yamanouchi, T.

M. Tanaka, T. Yamanouchi, “Absorption Properties of the Near Infrared CO2 Bands,” J. Quant. Spectrosc. Radiat. Transfer 17, 421–432 (1977).
[CrossRef]

Young, C.

C. Young, R. E. Chapman, “Line Widths and Band Strengths for the 9.4- and 10.4-μm CO2 Bands,” J. Quant. Spectrosc. Radiat. Transfer 14, 679–690 (1974).
[CrossRef]

Appl. Opt. (8)

Astrophys. J. (1)

W. S. Benedict, R. Herman, G. E. Moore, S. Silverman, “The Strengths, Widths and Shapes of Lines in the Vibration-Rotation Bands of CO,” Astrophys. J. 135, 277–297 (1962).
[CrossRef]

J. Chem. Phys. (4)

E. B. Wilson, A. J. Wells, “The Experimental Determination of the Intensities of Infra-Red Absorption Bands,” J. Chem. Phys. 14, 578–580 (1946).
[CrossRef]

S. S. Penner, D. Weber, “Quantitative Infrared Intensity Measurements. I. Carbon Monoxide Pressurized with Infrared-Inactive Gases,” J. Chem. Phys. 19, 807–816 (1951).
[CrossRef]

D. F. Eggers, B. L. Crawford, “Vibrational Intensities. III. Carbon Dioxide and Nitrous Oxide,” J. Chem. Phys. 19, 1554–1561 (1951).
[CrossRef]

D. Weber, R. J. Holm, S. S. Penner, “Integrated Absorption for Vibration-Rotation Bands of CO2,” J. Chem. Phys. 20, 1820 (1952).
[CrossRef]

J. Opt. Soc. Am. (1)

J. Phys. Soc. Jpn. (1)

M. Hirono, “Band Intensities of the 2.7 μm and 4.8 μm CO2 Bands,” J. Phys. Soc. Jpn. 55, 3825–3830 (1986).
[CrossRef]

J. Quant. Spectrosc, Radiat. Transfer (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]

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

M. Tanaka, T. Yamanouchi, “Absorption Properties of the Near Infrared CO2 Bands,” J. Quant. Spectrosc. Radiat. Transfer 17, 421–432 (1977).
[CrossRef]

L. D. Gray, “Calculation of Carbon Dioxide Transmission Part I—The 9.4 μm and 10.4 μm Bands,” J. Quant. Spectrosc. Radiat. Transfer 7, 143–150 (1967).
[CrossRef]

C. Young, R. E. Chapman, “Line Widths and Band Strengths for the 9.4- and 10.4-μm CO2 Bands,” J. Quant. Spectrosc. Radiat. Transfer 14, 679–690 (1974).
[CrossRef]

T. K. McCubbin, T. R. Mooney, “A Study of the Strengths and Widths of Lines in the 9.4- and 10.4-μm CO2 Bands,” J. Quant. Spectrosc. Radiat. Transfer 8, 1255–1264 (1968).
[CrossRef]

M. Fukabori, T. Nakazawa, M. Tanaka, “Absorption Properties of Infrared Active Gases at High Pressures—I. CO2,” J. Quant. Spectrosc. Radiat. Transfer 36, 265–270 (1986).
[CrossRef]

Mem. Soc. R. Sci. Liege 5th Ser. (1)

S. I. Rasool, “Line Intensities of CO2 from Solar Spectra,” Mem. Soc. R. Sci. Liege 5th Ser. 9, 55 (1964).

Proc. R. Soc. London Ser. A (1)

A. Michels, C. Michels, “Series Evaluation of the Isotherm Data of CO2 Between 0 and 150 C and up to 3000 atm,” Proc. R. Soc. London Ser. A 160, 348–357 (1937).
[CrossRef]

Other (2)

S. S. Penner, Quantitative Molecular Spectroscopy and Gas Emissivities, (Addison-Wesley, Reading, MA., 1959).

H. J. Kostkowski, “Line Half-Widths and Intensities from the Infrared Transmission of Thermally Excited CO2,” Progress Report on Contract No. 248 (01) (Johns Hopkins U., Baltimore, 1955).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (11)

Fig. 1
Fig. 1

Equivalent width of the 4.3-μm band as a function of equivalent pressure.

Fig. 2
Fig. 2

Equivalent width of the 4.3-μm band as a function of equivalent pressure for samples having constant values of absorber concentration.

Fig. 3
Fig. 3

Equivalent width of the 4.3-μm band as a function of u P e 0.3 for l = 1.45 cm.

Fig. 4
Fig. 4

Equivalent width of the 4.3-μm band as a function of u P e 0.38 for l = 5.0 cm.

Fig. 5
Fig. 5

Comparison of calculated and measured equivalent widths for the 4.3-μm band (l = 1.45 and 5.0 cm).

Fig. 6
Fig. 6

Equivalent width of the 5.2-μm band as a function of absorber concentration.

Fig. 7
Fig. 7

Comparison of calculated and measured equivalent widths for the 5.2-μm band.

Fig. 8
Fig. 8

Spectral absorptance of the 5.2-μm band.

Fig. 9
Fig. 9

Equivalent width as a function of absorber concentration. (a) the 9.4-μm band, (b) the 10.4-μm band.

Fig. 10
Fig. 10

Comparison of calculated and measured equivalent widths. (a) the 9.4-μm band, (b) the 10.4-μm band.

Fig. 11
Fig. 11

Spectral absorptance of the 9.4- and 10.4-μm bands.

Tables (3)

Tables Icon

Table I Values of Empirical Constants m, n and m + n

Tables Icon

Table II Band Intensities for the 5.2-μm CO2 Band (cm−2 atm−1 STP)

Tables Icon

Table III Band Intensities for the 9.4- and 10.4-μm CO2 Bands (cm−2 atm−1 STP)

Equations (14)

Equations on this page are rendered with MathJax. Learn more.

W = - [ 1 - exp ( - k v u ) ] d v ,
W = S u ,
W = 2 ( S γ u ) 1 / 2 ,
P e = P + 0.3 p ,
u = ( T 0 T ) l p / [ 1 + B 2 ( T ) P + B 3 ( T ) P 2 ] ,
W = c u m P e n = c ( u P e d ) m ,
W = C + D log ( u P e d ) ,
W = 102 ( u P e 0.3 ) 0.16 ,
W = 100 ( u P e 0.38 ) 0.145 ,
W = 92 ( u P e 0.1 ) 0.21 ,
W = 98 ( u P e 0.1 ) 0.19 ,
k = k L exp [ - a ( ν - ν 0 - ν m ) b ] for ν - ν 0 ν m = k L for ν - ν 0 ν m
S v = band k ν d ν ,
W = u k ν d ν = S v u ,

Metrics