Abstract

The spectral emissivity of carbon dioxide from 1800–2500 cm<sup>-1</sup> is calculated as a function of temperature, pressure, and amount of radiating gas. Careful consideration is given to the choice of a proper model to represent the emission when the overlapping of the spectral lines is taken into account. At elevated temperatures the random Elsasser model should be used since many vibrational bands overlap. The emissivities were calculated from the usual intensity and energy expressions on an electronic computer taking into account up to 890 000 spectral lines at 2400°K. The electric moment matrix element was evaluated by using the harmonic oscillator approximation to represent the vibrational states. The emission from C<sup>13</sup>O<sub>2</sub> and from the transitions near 2100 and 1900 cm<sup>-1</sup> was included in the calculation. The shift of the emission to lower frequencies as the temperature increases is quantitatively explained. The emission in this frequency region from any flame can readily be obtained from the results given here.

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  1. See, e.g., E. E. Bell et al., Final Report, Contract AF 30(602)-1047 (Ohio State University, Columbus, Ohio, 1956).
  2. D. M. Dennison, Revs. Modern Phys. 3, 280 (1931).
  3. D. M. Dennison, Revs. Modern Phys. 12, 175 (1940).
  4. Benedict, Herman, and Silverman, J. Chem. Phys. 19, 1325 (1951).
  5. S. S. Penner, J. Appl. Phys. 25, 660 (1954).
  6. C. P. Courtoy, Can. J. Phys. 35, 608 (1957).
  7. See, e.g., L. I. Schiff, Quantum Mechanics (McGraw-Hill Book Company, Inc., New York, 1949).
  8. W. S. Benedict and E. K. Plyler, in Energy Transfer in Hot Gases (U. S. Government Printing Office, Washington, D. C., 1954)p . 57.
  9. G. N. Plass, Publication U-238, (Aeronutronic Systems, Inc., Glendale, California, 1958). Calculations of the emission from hot CO2 have also been made recently by R.O'B. Carpenter.
  10. G. N. Plass, J. Meteorol. 9, 429 (1952).
  11. G. N. Plass, J. Opt. Soc. Am. 48, 690 (1958).
  12. L. D. Kaplan and D. F. Eggers, J. Chem. Phys. 25, 876 (1956).
  13. Howard, Burch, and Williams, Contract AF 19(604)-516, Air Force Cambridge Research Center (Ohio State University Research Foundation, Columbus, Ohio, 1954).
  14. R. Tourin, Tech. Rept. No. 258 (Warner and Swasey Research Corporation, New York, 1954).

Bell, E. E.

See, e.g., E. E. Bell et al., Final Report, Contract AF 30(602)-1047 (Ohio State University, Columbus, Ohio, 1956).

Benedict, W. S.

W. S. Benedict and E. K. Plyler, in Energy Transfer in Hot Gases (U. S. Government Printing Office, Washington, D. C., 1954)p . 57.

Courtoy, C. P.

C. P. Courtoy, Can. J. Phys. 35, 608 (1957).

Dennison, D. M.

D. M. Dennison, Revs. Modern Phys. 3, 280 (1931).

D. M. Dennison, Revs. Modern Phys. 12, 175 (1940).

Eggers, D. F.

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

Kaplan, L. D.

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

Penner, S. S.

S. S. Penner, J. Appl. Phys. 25, 660 (1954).

Plass, G. N.

G. N. Plass, Publication U-238, (Aeronutronic Systems, Inc., Glendale, California, 1958). Calculations of the emission from hot CO2 have also been made recently by R.O'B. Carpenter.

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

G. N. Plass, J. Meteorol. 9, 429 (1952).

Plyler, E. K.

W. S. Benedict and E. K. Plyler, in Energy Transfer in Hot Gases (U. S. Government Printing Office, Washington, D. C., 1954)p . 57.

Schiff, L. I.

See, e.g., L. I. Schiff, Quantum Mechanics (McGraw-Hill Book Company, Inc., New York, 1949).

Tourin, R.

R. Tourin, Tech. Rept. No. 258 (Warner and Swasey Research Corporation, New York, 1954).

Other

See, e.g., E. E. Bell et al., Final Report, Contract AF 30(602)-1047 (Ohio State University, Columbus, Ohio, 1956).

D. M. Dennison, Revs. Modern Phys. 3, 280 (1931).

D. M. Dennison, Revs. Modern Phys. 12, 175 (1940).

Benedict, Herman, and Silverman, J. Chem. Phys. 19, 1325 (1951).

S. S. Penner, J. Appl. Phys. 25, 660 (1954).

C. P. Courtoy, Can. J. Phys. 35, 608 (1957).

See, e.g., L. I. Schiff, Quantum Mechanics (McGraw-Hill Book Company, Inc., New York, 1949).

W. S. Benedict and E. K. Plyler, in Energy Transfer in Hot Gases (U. S. Government Printing Office, Washington, D. C., 1954)p . 57.

G. N. Plass, Publication U-238, (Aeronutronic Systems, Inc., Glendale, California, 1958). Calculations of the emission from hot CO2 have also been made recently by R.O'B. Carpenter.

G. N. Plass, J. Meteorol. 9, 429 (1952).

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

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

Howard, Burch, and Williams, Contract AF 19(604)-516, Air Force Cambridge Research Center (Ohio State University Research Foundation, Columbus, Ohio, 1954).

R. Tourin, Tech. Rept. No. 258 (Warner and Swasey Research Corporation, New York, 1954).

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