Abstract

The strengths and half-widths of lines in the R branch of the CO fundamental band at temperatures as low as 113 K have been determined from equivalent-width measurements in the linear and square-root regions of the curve of growth. For all temperatures, the observed line strengths are in excellent agreement with line strengths calculated on the basis of the Herman–Wallis expression. However, at the lowest temperatures the observed half-widths differ considerably from the values calculated on the basis of the usual extrapolations of room-temperature data; the half-widths of lines near the band center are much larger than the calculated half-widths, and the half-widths of lines in the band wing are apparently considerably smaller than the calculated half-widths.

© 1969 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. J. N. Howard, D. E. Burch, and D. Williams, J. Opt. Soc. Am. 46, 186, 237, 242, 334, 452 (1956).
    [Crossref]
  2. D. Burch and D. Williams, Appl. Opt. 1, 473 (1962).
    [Crossref]
  3. D. Burch and D. Williams, Appl. Opt. 1, 587 (1962).
    [Crossref]
  4. W. L. France and D. Williams, J. Opt. Soc. Am. 56, 70 (1966).
    [Crossref]
  5. D. Vanderwerf and J. H. Shaw, Appl. Opt. 4, 209 (1965); C. E. Hathway, G. M. Hoover, and D. Williams, J. Opt. Soc. Am. 58, 739A (1968).
    [Crossref]
  6. W. S. Benedict, R. Herman, G. E. Moore, and S. Silverman, Can. J. Phys. 34, 855 (1956).
  7. H. Goldring and W. Benesch, Can. J. Phys. 40, 1801 (1962).
    [Crossref]
  8. C. Crane–Robinson and H. W. Thompson, Proc. Roy. Soc. (London) A272, 441 (1963).
  9. W. S. Benedict, R. Herman, G. E. Moore, and S. Silverman, Astrophys. J. 135, 277 (1962).
    [Crossref]
  10. E. K. Plyler and R. J. Thibault, J. Res. Natl. Bur. Std. (U. S.) 67A, No. 3, 229 (1963).
    [Crossref]
  11. H. J. Kostkowski and A. M. Bass, J. Quant. Spectry. Radiative Transfer 1, 117 (1961).
    [Crossref]
  12. C. Crane–Robinson and H. W. Thompson, Proc. Roy. Soc. (London) A272, 441, 453 (1963).
  13. D. E. Burch and D. A. Gryvnak, J. Chem. Phys. 47, 4930 (1967).
    [Crossref]
  14. W. S. Benedict and S. Silverman, Phys. Rev. 94, 752 (A) (1954).
  15. R. P. Madden, J. Chem. Phys. 35, 2083 (1961).
    [Crossref]
  16. D. E. Burch, D. A. Gryvnak, and R. R. Patty, J. Opt. Soc. Am. 58, 335 (1968).
    [Crossref]
  17. H. J. Kostkowski, J. Opt. Soc. Am. 45, 406 (1955).
  18. W. S. Benedict, H. H. Claassen, and J. H. Shaw, J. Res. Natl. Bur. Std. (U. S.) 49, 91 (1952).
    [Crossref]
  19. F. Saiedy, Quart. J. Roy. Meteorol. Soc. 87, 578 (1961).
    [Crossref]
  20. R. B. Sanderson and N. Ginsburg, J. Quant. Spectry. Radiative Transfer 3, 435 (1963).
    [Crossref]
  21. J. Rud Nielsen, V. Thornton, and E. B. Dale, Rev. Mod. Phys. 16, 307 (1944).
    [Crossref]
  22. H. J. Babrov, J. Opt. Soc. Am. 51, 171 (1961).
    [Crossref]
  23. R. Ladenberg and R. Reiche, Ann. Physik 42, 181 (1913).
    [Crossref]
  24. L. D. Kaplan and D. F. Eggers, J. Chem. Phys. 25, 876 (1956).
    [Crossref]
  25. R. Herman and R. Wallis, J. Chem. Phys. 23, 637 (1955).
    [Crossref]
  26. E. K. Plyler, private communication, 1968.
  27. J. A. Dowling, S. Silverman, W. S. Benedict, and J. W. Quinn, J. Opt. Soc. Am. 58, 739A (1968).

1968 (2)

J. A. Dowling, S. Silverman, W. S. Benedict, and J. W. Quinn, J. Opt. Soc. Am. 58, 739A (1968).

D. E. Burch, D. A. Gryvnak, and R. R. Patty, J. Opt. Soc. Am. 58, 335 (1968).
[Crossref]

1967 (1)

D. E. Burch and D. A. Gryvnak, J. Chem. Phys. 47, 4930 (1967).
[Crossref]

1966 (1)

1965 (1)

1963 (4)

E. K. Plyler and R. J. Thibault, J. Res. Natl. Bur. Std. (U. S.) 67A, No. 3, 229 (1963).
[Crossref]

C. Crane–Robinson and H. W. Thompson, Proc. Roy. Soc. (London) A272, 441 (1963).

C. Crane–Robinson and H. W. Thompson, Proc. Roy. Soc. (London) A272, 441, 453 (1963).

R. B. Sanderson and N. Ginsburg, J. Quant. Spectry. Radiative Transfer 3, 435 (1963).
[Crossref]

1962 (4)

W. S. Benedict, R. Herman, G. E. Moore, and S. Silverman, Astrophys. J. 135, 277 (1962).
[Crossref]

H. Goldring and W. Benesch, Can. J. Phys. 40, 1801 (1962).
[Crossref]

D. Burch and D. Williams, Appl. Opt. 1, 473 (1962).
[Crossref]

D. Burch and D. Williams, Appl. Opt. 1, 587 (1962).
[Crossref]

1961 (4)

H. J. Babrov, J. Opt. Soc. Am. 51, 171 (1961).
[Crossref]

H. J. Kostkowski and A. M. Bass, J. Quant. Spectry. Radiative Transfer 1, 117 (1961).
[Crossref]

F. Saiedy, Quart. J. Roy. Meteorol. Soc. 87, 578 (1961).
[Crossref]

R. P. Madden, J. Chem. Phys. 35, 2083 (1961).
[Crossref]

1956 (3)

L. D. Kaplan and D. F. Eggers, J. Chem. Phys. 25, 876 (1956).
[Crossref]

W. S. Benedict, R. Herman, G. E. Moore, and S. Silverman, Can. J. Phys. 34, 855 (1956).

J. N. Howard, D. E. Burch, and D. Williams, J. Opt. Soc. Am. 46, 186, 237, 242, 334, 452 (1956).
[Crossref]

1955 (2)

R. Herman and R. Wallis, J. Chem. Phys. 23, 637 (1955).
[Crossref]

H. J. Kostkowski, J. Opt. Soc. Am. 45, 406 (1955).

1954 (1)

W. S. Benedict and S. Silverman, Phys. Rev. 94, 752 (A) (1954).

1952 (1)

W. S. Benedict, H. H. Claassen, and J. H. Shaw, J. Res. Natl. Bur. Std. (U. S.) 49, 91 (1952).
[Crossref]

1944 (1)

J. Rud Nielsen, V. Thornton, and E. B. Dale, Rev. Mod. Phys. 16, 307 (1944).
[Crossref]

1913 (1)

R. Ladenberg and R. Reiche, Ann. Physik 42, 181 (1913).
[Crossref]

Babrov, H. J.

Bass, A. M.

H. J. Kostkowski and A. M. Bass, J. Quant. Spectry. Radiative Transfer 1, 117 (1961).
[Crossref]

Benedict, W. S.

J. A. Dowling, S. Silverman, W. S. Benedict, and J. W. Quinn, J. Opt. Soc. Am. 58, 739A (1968).

W. S. Benedict, R. Herman, G. E. Moore, and S. Silverman, Astrophys. J. 135, 277 (1962).
[Crossref]

W. S. Benedict, R. Herman, G. E. Moore, and S. Silverman, Can. J. Phys. 34, 855 (1956).

W. S. Benedict and S. Silverman, Phys. Rev. 94, 752 (A) (1954).

W. S. Benedict, H. H. Claassen, and J. H. Shaw, J. Res. Natl. Bur. Std. (U. S.) 49, 91 (1952).
[Crossref]

Benesch, W.

H. Goldring and W. Benesch, Can. J. Phys. 40, 1801 (1962).
[Crossref]

Burch, D.

Burch, D. E.

Claassen, H. H.

W. S. Benedict, H. H. Claassen, and J. H. Shaw, J. Res. Natl. Bur. Std. (U. S.) 49, 91 (1952).
[Crossref]

Crane–Robinson, C.

C. Crane–Robinson and H. W. Thompson, Proc. Roy. Soc. (London) A272, 441 (1963).

C. Crane–Robinson and H. W. Thompson, Proc. Roy. Soc. (London) A272, 441, 453 (1963).

Dale, E. B.

J. Rud Nielsen, V. Thornton, and E. B. Dale, Rev. Mod. Phys. 16, 307 (1944).
[Crossref]

Dowling, J. A.

J. A. Dowling, S. Silverman, W. S. Benedict, and J. W. Quinn, J. Opt. Soc. Am. 58, 739A (1968).

Eggers, D. F.

L. D. Kaplan and D. F. Eggers, J. Chem. Phys. 25, 876 (1956).
[Crossref]

France, W. L.

Ginsburg, N.

R. B. Sanderson and N. Ginsburg, J. Quant. Spectry. Radiative Transfer 3, 435 (1963).
[Crossref]

Goldring, H.

H. Goldring and W. Benesch, Can. J. Phys. 40, 1801 (1962).
[Crossref]

Gryvnak, D. A.

Herman, R.

W. S. Benedict, R. Herman, G. E. Moore, and S. Silverman, Astrophys. J. 135, 277 (1962).
[Crossref]

W. S. Benedict, R. Herman, G. E. Moore, and S. Silverman, Can. J. Phys. 34, 855 (1956).

R. Herman and R. Wallis, J. Chem. Phys. 23, 637 (1955).
[Crossref]

Howard, J. N.

Kaplan, L. D.

L. D. Kaplan and D. F. Eggers, J. Chem. Phys. 25, 876 (1956).
[Crossref]

Kostkowski, H. J.

H. J. Kostkowski and A. M. Bass, J. Quant. Spectry. Radiative Transfer 1, 117 (1961).
[Crossref]

H. J. Kostkowski, J. Opt. Soc. Am. 45, 406 (1955).

Ladenberg, R.

R. Ladenberg and R. Reiche, Ann. Physik 42, 181 (1913).
[Crossref]

Madden, R. P.

R. P. Madden, J. Chem. Phys. 35, 2083 (1961).
[Crossref]

Moore, G. E.

W. S. Benedict, R. Herman, G. E. Moore, and S. Silverman, Astrophys. J. 135, 277 (1962).
[Crossref]

W. S. Benedict, R. Herman, G. E. Moore, and S. Silverman, Can. J. Phys. 34, 855 (1956).

Patty, R. R.

Plyler, E. K.

E. K. Plyler and R. J. Thibault, J. Res. Natl. Bur. Std. (U. S.) 67A, No. 3, 229 (1963).
[Crossref]

E. K. Plyler, private communication, 1968.

Quinn, J. W.

J. A. Dowling, S. Silverman, W. S. Benedict, and J. W. Quinn, J. Opt. Soc. Am. 58, 739A (1968).

Reiche, R.

R. Ladenberg and R. Reiche, Ann. Physik 42, 181 (1913).
[Crossref]

Rud Nielsen, J.

J. Rud Nielsen, V. Thornton, and E. B. Dale, Rev. Mod. Phys. 16, 307 (1944).
[Crossref]

Saiedy, F.

F. Saiedy, Quart. J. Roy. Meteorol. Soc. 87, 578 (1961).
[Crossref]

Sanderson, R. B.

R. B. Sanderson and N. Ginsburg, J. Quant. Spectry. Radiative Transfer 3, 435 (1963).
[Crossref]

Shaw, J. H.

Silverman, S.

J. A. Dowling, S. Silverman, W. S. Benedict, and J. W. Quinn, J. Opt. Soc. Am. 58, 739A (1968).

W. S. Benedict, R. Herman, G. E. Moore, and S. Silverman, Astrophys. J. 135, 277 (1962).
[Crossref]

W. S. Benedict, R. Herman, G. E. Moore, and S. Silverman, Can. J. Phys. 34, 855 (1956).

W. S. Benedict and S. Silverman, Phys. Rev. 94, 752 (A) (1954).

Thibault, R. J.

E. K. Plyler and R. J. Thibault, J. Res. Natl. Bur. Std. (U. S.) 67A, No. 3, 229 (1963).
[Crossref]

Thompson, H. W.

C. Crane–Robinson and H. W. Thompson, Proc. Roy. Soc. (London) A272, 441 (1963).

C. Crane–Robinson and H. W. Thompson, Proc. Roy. Soc. (London) A272, 441, 453 (1963).

Thornton, V.

J. Rud Nielsen, V. Thornton, and E. B. Dale, Rev. Mod. Phys. 16, 307 (1944).
[Crossref]

Vanderwerf, D.

Wallis, R.

R. Herman and R. Wallis, J. Chem. Phys. 23, 637 (1955).
[Crossref]

Williams, D.

Ann. Physik (1)

R. Ladenberg and R. Reiche, Ann. Physik 42, 181 (1913).
[Crossref]

Appl. Opt. (3)

Astrophys. J. (1)

W. S. Benedict, R. Herman, G. E. Moore, and S. Silverman, Astrophys. J. 135, 277 (1962).
[Crossref]

Can. J. Phys. (2)

W. S. Benedict, R. Herman, G. E. Moore, and S. Silverman, Can. J. Phys. 34, 855 (1956).

H. Goldring and W. Benesch, Can. J. Phys. 40, 1801 (1962).
[Crossref]

J. Chem. Phys. (4)

D. E. Burch and D. A. Gryvnak, J. Chem. Phys. 47, 4930 (1967).
[Crossref]

L. D. Kaplan and D. F. Eggers, J. Chem. Phys. 25, 876 (1956).
[Crossref]

R. Herman and R. Wallis, J. Chem. Phys. 23, 637 (1955).
[Crossref]

R. P. Madden, J. Chem. Phys. 35, 2083 (1961).
[Crossref]

J. Opt. Soc. Am. (6)

J. Quant. Spectry. Radiative Transfer (2)

R. B. Sanderson and N. Ginsburg, J. Quant. Spectry. Radiative Transfer 3, 435 (1963).
[Crossref]

H. J. Kostkowski and A. M. Bass, J. Quant. Spectry. Radiative Transfer 1, 117 (1961).
[Crossref]

J. Res. Natl. Bur. Std. (U. S.) (2)

E. K. Plyler and R. J. Thibault, J. Res. Natl. Bur. Std. (U. S.) 67A, No. 3, 229 (1963).
[Crossref]

W. S. Benedict, H. H. Claassen, and J. H. Shaw, J. Res. Natl. Bur. Std. (U. S.) 49, 91 (1952).
[Crossref]

Phys. Rev. (1)

W. S. Benedict and S. Silverman, Phys. Rev. 94, 752 (A) (1954).

Proc. Roy. Soc. (London) (2)

C. Crane–Robinson and H. W. Thompson, Proc. Roy. Soc. (London) A272, 441, 453 (1963).

C. Crane–Robinson and H. W. Thompson, Proc. Roy. Soc. (London) A272, 441 (1963).

Quart. J. Roy. Meteorol. Soc. (1)

F. Saiedy, Quart. J. Roy. Meteorol. Soc. 87, 578 (1961).
[Crossref]

Rev. Mod. Phys. (1)

J. Rud Nielsen, V. Thornton, and E. B. Dale, Rev. Mod. Phys. 16, 307 (1944).
[Crossref]

Other (1)

E. K. Plyler, private communication, 1968.

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 (8)

Fig. 1
Fig. 1

The low-temperature absorption cell. The brass-walled sample chamber equipped with cooling coils A and T-12 windows B is shown in the upper drawing. The outer chamber C equipped with NaCl windows D is shown in the lower drawing. The region between the two chambers of the assembled cell was evacuated.

Fig. 2
Fig. 2

Typical absorption curves obtained in the square-root region at various temperatures with a spectral slit width of 0.7 cm−1.

Fig. 3
Fig. 3

The ratio R = −lnT(ν0)/W for the CO fundamental band, where T(ν0) is the measured transmittance of the absorption line at the line center and W is the equivalent width obtained from area measurements. (A) 300 K (B) 193 K (C) 153 K and (D) 113 K. The cell length was 4.76 cm and the spectral slit widths were approximately 0.7 cm−1; the values of R are the average of measurements with several values of absorber thickness w0.

Fig. 4
Fig. 4

Measured equivalent widths of selected lines in the CO fundamental band as a function of absorber thickness at the indicated temperatures. Curves A, B, and C correspond to lines R(1), R(6), and R(13), respectively. Addition of N2 gave a total pressure of 1 atm for all lines.

Fig. 5
Fig. 5

The strength S of lines in the CO fundamental band as a function of line number. The circles represent measured values and the triangles represent values calculated from the Herman–Wallis expression.

Fig. 6
Fig. 6

Line half-width parameters α0 of the CO fundamental band at reduced temperatures. Error bars indicate the standard deviations of the measured values.

Fig. 7
Fig. 7

Values of α0 for self-broadened CO lines at 300 K as determined by (A) Kostkowski and Bass11 (2ν); (B) Burch and Gryvnak13 (3ν); (C) Hunt, Toth, and Plyler26 (2ν); (D) Benedict et al.9 (ν and 2ν). Results obtained in the present study are shown as points.

Fig. 8
Fig. 8

Smoothed curves giving α0 for lines in the CO fundamental band at (A) 113, (B) 124, (C) 153, (D) 193 and (E) 300 K.

Tables (2)

Tables Icon

Table I Line strengths Sa (in cm−1 atmNTP−1 cm−1).

Tables Icon

Table II Measured values of line half-width parameter α0 (in 10−2 cm−1/atm).

Equations (9)

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

w 0 = p a l ( 273 / T ) ,
k ( ν ) = S α / π [ ( ν - ν 0 ) 2 + α 2 ] ,
W = A ( ν ) d ν = { 1 - exp [ - k ( ν ) W 0 ] } d ν = A ( ν ) d ν ,
W = 2 π α L ( x ) ,
W = S w 0             for             x 1             ( linear region )
W = 2 ( S w 0 α ) 1 2             for             x 1             ( square-root region ) .
S m = S v m exp [ - E R ( m ) / k T ] / Q R ( T ) ,
α = N V ¯ σ / 2 π c ,
α 0 T = α 0 300 ( 300 / T ) 0.5 ,