Abstract

The spectral transmission of carbon monoxide, nitrous oxide, and mixtures of the two has been studied in the 2200-cm−1 region, where overlapping absorption bands occur. With spectral slit widths sufficiently large to include several absorption lines, it was found that the observed spectral transmittance of a mixture is equal to the product of the transmittances of the components measured separately, provided that sufficient nitrogen is added to give the same total pressure for all samples. This result was also obtained for overlapping bands of nitrous oxide and methane in the 1300-cm−1 region. The present work confirms Burch’s earlier studies of overlapping bands of CO2 and water vapor. An investigation of the possible breakdown of the multiplicative property of transmission for narrow spectral slit widths was inconclusive.

© 1967 Optical Society of America

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References

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  1. K. Ångström, Phys. Rev. 1, 597 (1892).
  2. E. von Bahr, Ann. Physik 29, 780 (1909); Ann. Physik 33, 585 (1910).
    [CrossRef]
  3. J. R. Nielsen, V. Thornton, E. B. Dale, Rev. Mod. Phys. 16, 307 (1944).
    [CrossRef]
  4. D. E. Burch, J. N. Howard, D. Williams, J. Opt. Soc. Amer. 46, 452 (1956).
    [CrossRef]
  5. R. M. Goody, Atmospheric Radiation (Clarendon Press, Oxford, 1964), Vol. 1, p. 123 ff.
  6. H. J. Bolle, private communication.
  7. D. E. Burch, E. B. Singleton, D. Williams, Appl. Opt. 1, 359 (1962).
    [CrossRef]
  8. L. D. Gray, R. A. McClatchey, Appl. Opt. 4, 1624 (1965).
    [CrossRef]
  9. A. T. Chai reports a preliminary Fvalue of 1.2 ± 0.1 for N2O in broadening the nonoverlapped portion of the CO fundamental (private communication).

1965 (1)

1962 (1)

1956 (1)

D. E. Burch, J. N. Howard, D. Williams, J. Opt. Soc. Amer. 46, 452 (1956).
[CrossRef]

1944 (1)

J. R. Nielsen, V. Thornton, E. B. Dale, Rev. Mod. Phys. 16, 307 (1944).
[CrossRef]

1909 (1)

E. von Bahr, Ann. Physik 29, 780 (1909); Ann. Physik 33, 585 (1910).
[CrossRef]

1892 (1)

K. Ångström, Phys. Rev. 1, 597 (1892).

Ångström, K.

K. Ångström, Phys. Rev. 1, 597 (1892).

Bolle, H. J.

H. J. Bolle, private communication.

Burch, D. E.

D. E. Burch, E. B. Singleton, D. Williams, Appl. Opt. 1, 359 (1962).
[CrossRef]

D. E. Burch, J. N. Howard, D. Williams, J. Opt. Soc. Amer. 46, 452 (1956).
[CrossRef]

Chai, A. T.

A. T. Chai reports a preliminary Fvalue of 1.2 ± 0.1 for N2O in broadening the nonoverlapped portion of the CO fundamental (private communication).

Dale, E. B.

J. R. Nielsen, V. Thornton, E. B. Dale, Rev. Mod. Phys. 16, 307 (1944).
[CrossRef]

Goody, R. M.

R. M. Goody, Atmospheric Radiation (Clarendon Press, Oxford, 1964), Vol. 1, p. 123 ff.

Gray, L. D.

Howard, J. N.

D. E. Burch, J. N. Howard, D. Williams, J. Opt. Soc. Amer. 46, 452 (1956).
[CrossRef]

McClatchey, R. A.

Nielsen, J. R.

J. R. Nielsen, V. Thornton, E. B. Dale, Rev. Mod. Phys. 16, 307 (1944).
[CrossRef]

Singleton, E. B.

Thornton, V.

J. R. Nielsen, V. Thornton, E. B. Dale, Rev. Mod. Phys. 16, 307 (1944).
[CrossRef]

von Bahr, E.

E. von Bahr, Ann. Physik 29, 780 (1909); Ann. Physik 33, 585 (1910).
[CrossRef]

Williams, D.

D. E. Burch, E. B. Singleton, D. Williams, Appl. Opt. 1, 359 (1962).
[CrossRef]

D. E. Burch, J. N. Howard, D. Williams, J. Opt. Soc. Amer. 46, 452 (1956).
[CrossRef]

Ann. Physik (1)

E. von Bahr, Ann. Physik 29, 780 (1909); Ann. Physik 33, 585 (1910).
[CrossRef]

Appl. Opt. (2)

J. Opt. Soc. Amer. (1)

D. E. Burch, J. N. Howard, D. Williams, J. Opt. Soc. Amer. 46, 452 (1956).
[CrossRef]

Phys. Rev. (1)

K. Ångström, Phys. Rev. 1, 597 (1892).

Rev. Mod. Phys. (1)

J. R. Nielsen, V. Thornton, E. B. Dale, Rev. Mod. Phys. 16, 307 (1944).
[CrossRef]

Other (3)

R. M. Goody, Atmospheric Radiation (Clarendon Press, Oxford, 1964), Vol. 1, p. 123 ff.

H. J. Bolle, private communication.

A. T. Chai reports a preliminary Fvalue of 1.2 ± 0.1 for N2O in broadening the nonoverlapped portion of the CO fundamental (private communication).

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Figures (5)

Fig. 1
Fig. 1

Low resolution study of overlapping bands of CO and N2O in the 2200-cm−1 region; the center of the CO band appears at 2140 cm−1 and that of the N2O band appears at 2220 cm.−1 Note that the calculated spectral transmittance T′(ν) = T′(CO) × T′(N2O) = T1′(ν) × T2′(ν) shown by the broken curves closely approximates the observed transmittance T′(ν) shown by the solid curves, provided that the total pressure is maintained constant for the samples involved by the addition of N2.

Fig. 2
Fig. 2

The observed spectral transmittance compared with values of spectral transmittance calculated by Gray and McClatchey for overlapping bands of CO and N2O.

Fig. 3
Fig. 3

High resolution study of overlapping CO and N2O bands in the 2200-cm−1 region. The upper panel shows the bands observed for separate samples; the spectral slit width was 0.4 cm−1. The lower panel compares the spectral transmittance T′(ν) for a mixture shown by the solid curve, with the product T′(CO) × T′(N2O) = T′(ν) × T2′(ν), shown by the broken curve, for a portion of the overlap region.

Fig. 4
Fig. 4

Low resolution study of overlapping N2O and CH4 bands in the 1300-cm−1 region; the center of the N2O band appears at 1290 cm−1 and that of the CH4 band at 1310 cm.−1 Observed values of T′(ν) are shown by the solid curves; the products T′(N2O) × T′(CH4) = T1′(ν) × T2′(ν) are shown by the broken curves. The product is in close agreement with the observed value, provided that a common total pressure is maintained constant by addition of N2.

Fig. 5
Fig. 5

High resolution study of overlapping N2O and CH4 bands in the 1300-cm−1 region. The upper panel shows the bands observed for separate samples; the spectral slit width was 0.4 cm−1. The lower panel shows observed values of T′(ν), shown by the solid curves with the product T′(N2O) × T′(CH4) = T1′(ν) × T2′(ν), shown by the dotted curves, for a portion of the overlap region.

Equations (7)

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T ( ν ) = e - k ( ν ) w ,
T ( ν ) = e k ( ν ) ( w 1 + w 2 ) = T 1 ( ν ) × T 2 ( ν ) .
T ( ν ) T 1 ( ν ) × T 2 ( ν ) ,
k ( ν ) = S α / π [ ( ν - ν 0 ) 2 + α 2 ] ,
α = α 0 ( P / P 0 ) ( T 0 / T ) ½ .
T ( CO 2 + H 2 O ) = T ( CO 2 ) × T ( H 2 O )
P e = B p a + F b p b

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