Abstract

Essentially monochromatic radiation with a frequency corresponding to the frequency of the line center of the P(20) line of the 961-cm−1 CO2 band was obtained from a CO2 laser. Using this radiant energy, transmittances of CO2 samples were measured as various broadening gases were added. Self-broadening coefficients of CO2 relative to nitrogen, hydrogen, helium, and argon were determined from the measurements characterizing the transmittance only at the line center; from these measurements ratios of optical collision diameters are calculated.

© 1968 Optical Society of America

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References

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  1. T. K. McCubbin, R. Darone, J. Sorrell, Appl. Phys. Lett. 8, 118 (1966).
    [CrossRef]
  2. D. E. Burch, E. E. Singleton, D. Williams, Appl. Opt. 1, 359 (1962).
    [CrossRef]
  3. A. Anderson, An-Ti Chai, D. Williams, J. Opt. Soc. Amer. 57, 240 (1967).
    [CrossRef]
  4. C. K. N. Patel, Phys. Rev. Lett. 13, 617 (1964).
    [CrossRef]
  5. D. E. Burch, D. A. Gryvnak, R. R. Patty, J. Opt. Soc. Amer. 57, 885 (1967).
    [CrossRef]
  6. J. U. White, J. Opt. Soc. Amer. 32, 285 (1942).
    [CrossRef]
  7. D. E. Burch, E. B. Singleton, W. L. France, D. Williams, Air Force Cambridge Res. Labs. Rep. 412, prepared under Contract No. AF 19(604)–2633 to the Ohio State University Research Foundation.

1967 (2)

A. Anderson, An-Ti Chai, D. Williams, J. Opt. Soc. Amer. 57, 240 (1967).
[CrossRef]

D. E. Burch, D. A. Gryvnak, R. R. Patty, J. Opt. Soc. Amer. 57, 885 (1967).
[CrossRef]

1966 (1)

T. K. McCubbin, R. Darone, J. Sorrell, Appl. Phys. Lett. 8, 118 (1966).
[CrossRef]

1964 (1)

C. K. N. Patel, Phys. Rev. Lett. 13, 617 (1964).
[CrossRef]

1962 (1)

1942 (1)

J. U. White, J. Opt. Soc. Amer. 32, 285 (1942).
[CrossRef]

Anderson, A.

A. Anderson, An-Ti Chai, D. Williams, J. Opt. Soc. Amer. 57, 240 (1967).
[CrossRef]

Burch, D. E.

D. E. Burch, D. A. Gryvnak, R. R. Patty, J. Opt. Soc. Amer. 57, 885 (1967).
[CrossRef]

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

D. E. Burch, E. B. Singleton, W. L. France, D. Williams, Air Force Cambridge Res. Labs. Rep. 412, prepared under Contract No. AF 19(604)–2633 to the Ohio State University Research Foundation.

Chai, An-Ti

A. Anderson, An-Ti Chai, D. Williams, J. Opt. Soc. Amer. 57, 240 (1967).
[CrossRef]

Darone, R.

T. K. McCubbin, R. Darone, J. Sorrell, Appl. Phys. Lett. 8, 118 (1966).
[CrossRef]

France, W. L.

D. E. Burch, E. B. Singleton, W. L. France, D. Williams, Air Force Cambridge Res. Labs. Rep. 412, prepared under Contract No. AF 19(604)–2633 to the Ohio State University Research Foundation.

Gryvnak, D. A.

D. E. Burch, D. A. Gryvnak, R. R. Patty, J. Opt. Soc. Amer. 57, 885 (1967).
[CrossRef]

McCubbin, T. K.

T. K. McCubbin, R. Darone, J. Sorrell, Appl. Phys. Lett. 8, 118 (1966).
[CrossRef]

Patel, C. K. N.

C. K. N. Patel, Phys. Rev. Lett. 13, 617 (1964).
[CrossRef]

Patty, R. R.

D. E. Burch, D. A. Gryvnak, R. R. Patty, J. Opt. Soc. Amer. 57, 885 (1967).
[CrossRef]

Singleton, E. B.

D. E. Burch, E. B. Singleton, W. L. France, D. Williams, Air Force Cambridge Res. Labs. Rep. 412, prepared under Contract No. AF 19(604)–2633 to the Ohio State University Research Foundation.

Singleton, E. E.

Sorrell, J.

T. K. McCubbin, R. Darone, J. Sorrell, Appl. Phys. Lett. 8, 118 (1966).
[CrossRef]

White, J. U.

J. U. White, J. Opt. Soc. Amer. 32, 285 (1942).
[CrossRef]

Williams, D.

A. Anderson, An-Ti Chai, D. Williams, J. Opt. Soc. Amer. 57, 240 (1967).
[CrossRef]

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

D. E. Burch, E. B. Singleton, W. L. France, D. Williams, Air Force Cambridge Res. Labs. Rep. 412, prepared under Contract No. AF 19(604)–2633 to the Ohio State University Research Foundation.

Appl. Opt. (1)

Appl. Phys. Lett. (1)

T. K. McCubbin, R. Darone, J. Sorrell, Appl. Phys. Lett. 8, 118 (1966).
[CrossRef]

J. Opt. Soc. Amer. (3)

A. Anderson, An-Ti Chai, D. Williams, J. Opt. Soc. Amer. 57, 240 (1967).
[CrossRef]

D. E. Burch, D. A. Gryvnak, R. R. Patty, J. Opt. Soc. Amer. 57, 885 (1967).
[CrossRef]

J. U. White, J. Opt. Soc. Amer. 32, 285 (1942).
[CrossRef]

Phys. Rev. Lett. (1)

C. K. N. Patel, Phys. Rev. Lett. 13, 617 (1964).
[CrossRef]

Other (1)

D. E. Burch, E. B. Singleton, W. L. France, D. Williams, Air Force Cambridge Res. Labs. Rep. 412, prepared under Contract No. AF 19(604)–2633 to the Ohio State University Research Foundation.

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Figures (2)

Fig. 1
Fig. 1

Experimental apparatus.

Fig. 2
Fig. 2

Plot of transmittance vs total pressure. Samples for which the CO2 partial pressure PCO2 = 50 Torr and absorber thickness u = 49 (atm-cm)STP are broadened with nitrogen ⊡, hydrogen ⟐, helium ◬, and argon ⊙. The short horizontal marks on each line represent the transmittance of a pure CO2 sample for which the partial pressure is approximately double that above and the absorber thickness is the same as that above.

Tables (1)

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Table I Self-Broadening Coefficients Ba,b

Equations (13)

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k ( ν ) = ( S / π ) α / [ ( ν - ν 0 ) 2 + α 2 ] ,
k ( ν 0 ) = S / ( π α ) .
α = F 2 π = 1 4 π i n i ( D a , i ) 2 [ 2 π k T ( 1 m a + 1 m i ) ] 1 2 ,
α = [ 1 / ( 8 π k T ) 1 2 ] { p a ( D a a ) 2 ( 2 / m a ) 1 2 + p b ( D a b ) 2 [ ( m a + m b ) / ( m a m b ) ] 1 2 } ,
C a a = ( D a a ) 2 ( 2 / m a ) 1 2 , C a b = ( D a b ) 2 [ ( m a + m b ) / ( m a m b ) ] 1 2 , B = C a a / C a b ,
α = [ 1 / ( 8 π k T ) ] 1 2 C a b ( p b + B p a ) .
T ( ν 0 ) = e - k ( ν 0 ) u ,
u = p a L ( 273 / 298 ) ( atm - cm ) STP
k s u s = k l u l
( S π / α s ) u s = ( S π / α l ) u l .
( p b s + B p a s ) = ( p b l + B p a l ) ,
B = p b l / ( p a s - p a l ) .
B = [ 2 m b ( m a + m b ) ] 1 2 ( D a a / D a b ) 2 .

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