Abstract

The effects of various gases on the absorption bands of nitrous oxide, carbon monoxide, methane, carbon dioxide, and water vapor have been investigated. Self-broadening effects for each of these gases have been compared with the effects of nitrogen in broadening the rotational lines within various vibration-rotation bands; the results can be expressed in terms of self-broadening coefficients. The effects produced by various foreign gases have also been compared with those of nitrogen; the results are expressed in terms of relative foreign broadening coefficients and relative collision diameters. The foreign gases studied include the nonabsorbing gases helium, oxygen, argon, hydrogen, and nitrogen and also carbon monoxide, carbon dioxide, and methane in spectral regions where there are no overlapping bands.

© 1962 Optical Society of America

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References

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  1. J. N. Howard, D. Burch, D. Williams, J. Opt. Soc. Am. 46, 186, 237, 242, 334, 452 (1956). For a theoretical treatment see J. Rud Nielsen, V. Thornton, E. Brock Dale, Revs. Modern Phys. 16, 307 (1944).
    [CrossRef]
  2. W. Benedict, R. Herman, G. Moore, S. Silverman, Can. J. Phys. 34, 830, 850 (1956).
    [CrossRef]
  3. R. Ladenberg, F. Reiche, Ann. Physik 42, 181 (1913).
    [CrossRef]
  4. G. N. Plass, J. Opt. Soc. Am. 48, 690 (1958).
    [CrossRef]
  5. R. M. Goody, T. W. Wormell, Proc. Roy. Soc. A209, 178 (1951); P. C. Cross, F. Daniels, J. Chem. Phys. 2, 6 (1934); D. K. Edwards, J. Opt. Soc. Am. 50, 617 (1960); C. H. Palmer, J. Opt. Soc. Am. 50, 1232 (1960); K. P. Vasilovsky, B. S. Neporant, Optics and Spectroscopy 7, 353 (1959); J. Izatt, Ph.D. Dissertation, Johns Hopkins Univ., 1960.
    [CrossRef]
  6. W. Benesch, T. Elder, Phys. Rev. 91, 308 (1953).
    [CrossRef]

1958

1956

J. N. Howard, D. Burch, D. Williams, J. Opt. Soc. Am. 46, 186, 237, 242, 334, 452 (1956). For a theoretical treatment see J. Rud Nielsen, V. Thornton, E. Brock Dale, Revs. Modern Phys. 16, 307 (1944).
[CrossRef]

W. Benedict, R. Herman, G. Moore, S. Silverman, Can. J. Phys. 34, 830, 850 (1956).
[CrossRef]

1953

W. Benesch, T. Elder, Phys. Rev. 91, 308 (1953).
[CrossRef]

1951

R. M. Goody, T. W. Wormell, Proc. Roy. Soc. A209, 178 (1951); P. C. Cross, F. Daniels, J. Chem. Phys. 2, 6 (1934); D. K. Edwards, J. Opt. Soc. Am. 50, 617 (1960); C. H. Palmer, J. Opt. Soc. Am. 50, 1232 (1960); K. P. Vasilovsky, B. S. Neporant, Optics and Spectroscopy 7, 353 (1959); J. Izatt, Ph.D. Dissertation, Johns Hopkins Univ., 1960.
[CrossRef]

1913

R. Ladenberg, F. Reiche, Ann. Physik 42, 181 (1913).
[CrossRef]

Benedict, W.

W. Benedict, R. Herman, G. Moore, S. Silverman, Can. J. Phys. 34, 830, 850 (1956).
[CrossRef]

Benesch, W.

W. Benesch, T. Elder, Phys. Rev. 91, 308 (1953).
[CrossRef]

Burch, D.

J. N. Howard, D. Burch, D. Williams, J. Opt. Soc. Am. 46, 186, 237, 242, 334, 452 (1956). For a theoretical treatment see J. Rud Nielsen, V. Thornton, E. Brock Dale, Revs. Modern Phys. 16, 307 (1944).
[CrossRef]

Elder, T.

W. Benesch, T. Elder, Phys. Rev. 91, 308 (1953).
[CrossRef]

Goody, R. M.

R. M. Goody, T. W. Wormell, Proc. Roy. Soc. A209, 178 (1951); P. C. Cross, F. Daniels, J. Chem. Phys. 2, 6 (1934); D. K. Edwards, J. Opt. Soc. Am. 50, 617 (1960); C. H. Palmer, J. Opt. Soc. Am. 50, 1232 (1960); K. P. Vasilovsky, B. S. Neporant, Optics and Spectroscopy 7, 353 (1959); J. Izatt, Ph.D. Dissertation, Johns Hopkins Univ., 1960.
[CrossRef]

Herman, R.

W. Benedict, R. Herman, G. Moore, S. Silverman, Can. J. Phys. 34, 830, 850 (1956).
[CrossRef]

Howard, J. N.

J. N. Howard, D. Burch, D. Williams, J. Opt. Soc. Am. 46, 186, 237, 242, 334, 452 (1956). For a theoretical treatment see J. Rud Nielsen, V. Thornton, E. Brock Dale, Revs. Modern Phys. 16, 307 (1944).
[CrossRef]

Ladenberg, R.

R. Ladenberg, F. Reiche, Ann. Physik 42, 181 (1913).
[CrossRef]

Moore, G.

W. Benedict, R. Herman, G. Moore, S. Silverman, Can. J. Phys. 34, 830, 850 (1956).
[CrossRef]

Plass, G. N.

Reiche, F.

R. Ladenberg, F. Reiche, Ann. Physik 42, 181 (1913).
[CrossRef]

Silverman, S.

W. Benedict, R. Herman, G. Moore, S. Silverman, Can. J. Phys. 34, 830, 850 (1956).
[CrossRef]

Williams, D.

J. N. Howard, D. Burch, D. Williams, J. Opt. Soc. Am. 46, 186, 237, 242, 334, 452 (1956). For a theoretical treatment see J. Rud Nielsen, V. Thornton, E. Brock Dale, Revs. Modern Phys. 16, 307 (1944).
[CrossRef]

Wormell, T. W.

R. M. Goody, T. W. Wormell, Proc. Roy. Soc. A209, 178 (1951); P. C. Cross, F. Daniels, J. Chem. Phys. 2, 6 (1934); D. K. Edwards, J. Opt. Soc. Am. 50, 617 (1960); C. H. Palmer, J. Opt. Soc. Am. 50, 1232 (1960); K. P. Vasilovsky, B. S. Neporant, Optics and Spectroscopy 7, 353 (1959); J. Izatt, Ph.D. Dissertation, Johns Hopkins Univ., 1960.
[CrossRef]

Ann. Physik

R. Ladenberg, F. Reiche, Ann. Physik 42, 181 (1913).
[CrossRef]

Can. J. Phys.

W. Benedict, R. Herman, G. Moore, S. Silverman, Can. J. Phys. 34, 830, 850 (1956).
[CrossRef]

J. Opt. Soc. Am.

J. N. Howard, D. Burch, D. Williams, J. Opt. Soc. Am. 46, 186, 237, 242, 334, 452 (1956). For a theoretical treatment see J. Rud Nielsen, V. Thornton, E. Brock Dale, Revs. Modern Phys. 16, 307 (1944).
[CrossRef]

G. N. Plass, J. Opt. Soc. Am. 48, 690 (1958).
[CrossRef]

Phys. Rev.

W. Benesch, T. Elder, Phys. Rev. 91, 308 (1953).
[CrossRef]

Proc. Roy. Soc.

R. M. Goody, T. W. Wormell, Proc. Roy. Soc. A209, 178 (1951); P. C. Cross, F. Daniels, J. Chem. Phys. 2, 6 (1934); D. K. Edwards, J. Opt. Soc. Am. 50, 617 (1960); C. H. Palmer, J. Opt. Soc. Am. 50, 1232 (1960); K. P. Vasilovsky, B. S. Neporant, Optics and Spectroscopy 7, 353 (1959); J. Izatt, Ph.D. Dissertation, Johns Hopkins Univ., 1960.
[CrossRef]

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Figures (2)

Fig. 1
Fig. 1

The self-broadening coefficient B for the 2224 cm−1 N2O band. I—Spectra obtained with w = 0.30 atm cm of N2O in both reference and sample cells; total pressure in reference cell = 164 mm Hg. Total pressure in sample cell for each spectrum is indicated. II—Plot of B and collision cross section ratio. The four different geometrical points correspond to the results of the set of spectra shown in I as well as to three other sets of samples having different values of w. III—A typical absorption curve which is shown for comparison.

Fig. 2
Fig. 2

Total absorption versus total pressure for 2143 cm−1 CO band. Partial pressure p of CO = 10 mm Hg.

Tables (2)

Tables Icon

Table I Self-Broadening Coefficients

Tables Icon

Table II Foreign-Broadening Coefficients and Relative Molecular Cross Sections

Equations (13)

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k ( ν ) = S π α ( ν ν 0 ) 2 + α 2 ,
S = 0 k ( ν ) d ν
α = 1 4 π i N i ( D a , i ) 2 [ 2 π k T ( 1 m a + 1 m i ) ] 1 / 2 ,
α = 1 4 π ( 2 π k T ) 1 / 2 [ N a ( D a , a ) 2 ( 2 m a ) 1 / 2 + N b ( D a,b ) 2 ( m a + m b m a m b ) ] 1 / 2 .
α = 1 4 π ( 2 π k T ) 1 / 2 ( C a,a p a + C a,b p b ) ,
α = 1 4 π ( 2 π k T ) 1 / 2 C a,b [ ( p a + p b ) + ( C a,a C a , b 1 ) p a ] = 1 4 π ( 2 π k T ) 1 l 2 C a , b [ P + ( B 1 ) p a ] ,
P e = P + ( B 1 ) p ,
B = p N 2 / ( p ref p ) .
B = ( p N 2 p N 2 ref ) / ( p ref p ) .
B = ( 2 m b m a + m b ) 1 l 2 ( D a,a D a,b ) 2 ,
F = p N 2 / p b ,
D a , b D a,N 2 = F 1 / 2 [ ( 28 + M a M b + M a ) M b 28 ] 1 / 4 ,
P e = B p + p N 2 + i F i p b i ,

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