Abstract

Spectra of the 4.7-μ band of CO were obtained after a beam of continuous radiation had passed through two cells containing mixtures of CO and N2. The total pressure and CO concentration of the first cell were adjusted so that the absorption by it lay in the “square-root region” where the absorption is approximately proportional to the square root of the total pressure and CO concentration. Spectra were then obtained as the total pressure and CO concentration in the other cell were varied over a wide range. An empirical expression was found relating the total absorption to the pressures and absorber concentrations of the two cells.

© 1962 Optical Society of America

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References

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  1. D. E. Burch and D. Williams, Sci. Rept. No. 1, under contract from the U. S. Air Force. The Ohio State University Research Foundation (1960).
  2. W. M. Elsasser, Harvard Meteorological Studies No. 6, Harvard University, Cambridge, Massachusetts, 1942.
  3. J. H. Shaw, Astrophys. J. 128, 428 (1958).
    [Crossref]

1958 (1)

J. H. Shaw, Astrophys. J. 128, 428 (1958).
[Crossref]

Burch, D. E.

D. E. Burch and D. Williams, Sci. Rept. No. 1, under contract from the U. S. Air Force. The Ohio State University Research Foundation (1960).

Elsasser, W. M.

W. M. Elsasser, Harvard Meteorological Studies No. 6, Harvard University, Cambridge, Massachusetts, 1942.

Shaw, J. H.

J. H. Shaw, Astrophys. J. 128, 428 (1958).
[Crossref]

Williams, D.

D. E. Burch and D. Williams, Sci. Rept. No. 1, under contract from the U. S. Air Force. The Ohio State University Research Foundation (1960).

Astrophys. J. (1)

J. H. Shaw, Astrophys. J. 128, 428 (1958).
[Crossref]

Other (2)

D. E. Burch and D. Williams, Sci. Rept. No. 1, under contract from the U. S. Air Force. The Ohio State University Research Foundation (1960).

W. M. Elsasser, Harvard Meteorological Studies No. 6, Harvard University, Cambridge, Massachusetts, 1942.

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Figures (6)

Fig. 1
Fig. 1

The total absorption of the 2143-cm−1 CO band versus absorber concentration (from Burch and Williams1).

Fig. 2
Fig. 2

Schematic diagram of optical paths.

Fig. 3
Fig. 3

Typical spectra for the case when cell 2 contained sample 2 and the conditions in cell 1 were varied.

Fig. 4
Fig. 4

The total absorption vs equivalent pressure of cell 1 with constant absorber concentration of cell 1 for sample 2.

Fig. 5
Fig. 5

The total absorption versus the sum [w1Pe1 + w2Pe2] for sample 2.

Fig. 6
Fig. 6

The total absorption versus the sum [w1(Pe1)0.8 + w2(Pe2)0.8] for samples 1, 2, and 3.

Tables (1)

Tables Icon

Table I Description of conditions in cell 2.

Equations (19)

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P e = P + ( B 1 ) p ,
A ( ν ) d ν [ w P ] 0.5 .
A ( ν ) d ν = 2.75 [ w ( P e ) 0.8 ] 0.55
4 A ( ν ) d ν 40 cm 1 if 20 P e 250 mm Hg ,
10 A ( ν ) d ν 40 cm 1 if 20 P e 760 mm Hg .
I 1 ( ν ) = I 0 ( ν ) exp [ k 1 ( ν ) w 1 ] ,
I 2 ( ν ) = I 1 ( ν ) exp [ k 2 ( ν ) w 2 ] = I 0 ( ν ) exp [ k 1 ( ν ) w 1 k 2 ( ν ) w 2 ]
A ( ν ) = [ I 0 ( ν ) I 2 ( ν ) ] / I 0 ( ν ) = 1 exp [ k 1 ( ν ) w 1 k 2 ( ν ) w 2 ] .
k 2 ( ν ) = 0 , when k 1 ( ν ) 0 ,
k 1 ( ν ) = 0 , when k 2 ( ν ) 0 ,
k i ( ν ) = S π α i ( ν ν 0 ) 2
A ( ν ) d ν [ w 1 P e 1 + w 2 P e 2 ] 0.5
A ( ν ) d ν = 2.76 [ w 1 ( P e ) 0.8 + w 2 ( P e ) 0.8 ] 0.55 ,
C e l l 1 . ( length 7.62 cm ) 2 P e 1 775 mm Hg , 0.0184 w 1 7.01 atm cm . C e l l 2 . ( length 2.54 cm ) P e 2 = 100 mm Hg , 0.0098 w 2 1.00 atm cm .
A ( ν ) d ν 2.76 ( P 1 P 2 P 0.8 d w ) 0.55 ,
P = P 0 exp ( h / H ) ,
d w = ( P / P s ) ( 273 / T ) m d h
A ( ν ) d ν = 2.76 ( P 0 1.8 273 m P s T 0 e 1.8 h / H d h ) 0.55 = 2.76 ( P 0 1.8 P s m 1.8 273 R M g ) 0.55 .
A ( ν ) d ν = 6.3 cm 1 .