Abstract

Gas temperatures and centrifugal distortion constants can be determined by means of a computer program which simulates the Fabry-Perot interferograms of rotational Raman spectra. This computer program takes into account the instrumental broadening factors of the Fabry-Perot interferometer along with Doppler and pressure broadening of the spectral lines. Variations in the profiles of the computed interferograms for nitrogen were studied as a function of gas temperature and centrifugal distortion constant <i>D</i>. Comparison with experimental interferometric data for nitrogen yielded the gas temperature and a value of the centrifugal distortion constant equal to (5.80 ± 0.23) × 10<sup>-6</sup> cm<sup>-1</sup>.

© 1976 Optical Society of America

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  2. J. J. Barrett, in Laser Raman Gas Diagnostics, edited by M. Lapp and C. M. Penney (Plenum, New York, 1974), pp. 63–85.
  3. R. L. Armstrong, J. Opt. Soc. Am. 64, 871 (1974).
  4. P. J. Hargis and R. A. Hill, J. Opt. Soc. Am. 65, 219 (1975).
  5. T. Sundius, J. Raman Spectrosc. 1, 471 (1973).
  6. E. A. Ballik, Appl. Opt. 5, 170 (1966).
  7. G. Hernandez, Appl. Opt. 5, 1745 (1966).
  8. G. T. Best, Appl. Opt. 6, 287 (1967).
  9. H. P. Larson and K. L. Andrew, Appl. Opt. 6, 1701 (1967).
  10. G. Hernandez, Appl. Opt. 9, 1591 (1970).
  11. V. G. Cooper, Appl. Opt. 10, 525 (1971).
  12. K. Kaminishi and S. Nawata, Jpn. J. Appl. Phys. 13, 1640 (1974).
  13. J. Cooney, J. Appl. Meteorol. 11, 108 (1972).
  14. R. S. Hickman and L. H. Liang, Rev. Sci. Instrum. 43, 796 (1972).
  15. T. A. Coney and J. A. Salzman, NASA TN D-7126, 1973.
  16. J. A. Salzman and T. A. Coney, NASA TM X-68250, 1973.
  17. J. A. Salzman and T. A. Coney, NASA TN D-7679, 1974.
  18. R. S. Hickman and L. Liang, Rev. Sci. Instrum. 45, 1580 (1974).
  19. M. Lapp, in Ref. 2, pp. 107–145.
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  24. B. P. Stoicheff, in Advances in Spectroscopy, edited by H. W. Thompson (Interscience, New York, 1959), p. 113.
  25. G. O. Neely, L. Y. Nelson, and A. B. Harvey, Appl. Spectrosc. 26, 553 (1972).
  26. M. Lapp, C. M. Penney, and L. M. Goldman, Opt. Commun. 9, 195 (1973).
  27. A. B. Harvey, in Ref. 2, pp. 147–152.
  28. J. J. Barrett and A. B. Harvey, J. Opt. Soc. Am. 65, 392 (1975).
  29. R. L. Armstrong, Appl. Opt. 14, 383 (1975).
  30. R. Bracewell, The Fourier Transform and Its Applications, (McGraw-Hill, New York, 1965), p. 110.
  31. M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, Oxford, 1970), pp. 323–333.
  32. W. H. Steel, Interferometry (Cambridge University, Cambridge England, 1967), p. 112.
  33. A. Weber, "High Resolution Raman Studies of Gases," in The Raman Effect, edited by A. Anderson (Marcel Dekker, New York, 1973), Vol. 2, pp. 543–757.
  34. C. M. Penney, R. L. St. Peters, and M. Lapp, J. Opt. Soc. Am. 64, 712 (1974).
  35. J. J. Barrett and A. Weber, J. Mol. Spectrosc. 50, 205 (1974).
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  41. J. Bendtsen, J. Raman Spectrosc. 2, 133 (1974).
  42. R. J. Butcher, P. V. Willetts, and W. J. Jones, Proc. R. Soc. London Ser. A 324, 231 (1971).
  43. A. Weber (private communication).

Andrew, K. L.

H. P. Larson and K. L. Andrew, Appl. Opt. 6, 1701 (1967).

Armstrong, R. L.

R. L. Armstrong, Appl. Opt. 14, 383 (1975).

R. L. Armstrong, J. Opt. Soc. Am. 64, 871 (1974).

Ballik, E. A.

E. A. Ballik, Appl. Opt. 5, 170 (1966).

Barrett, J. J.

J. J. Barrett and A. Weber, J. Mol. Spectrosc. 50, 205 (1974).

J. J. Barrett and A. B. Harvey, J. Opt. Soc. Am. 65, 392 (1975).

J. J. Barrett, in Laser Raman Gas Diagnostics, edited by M. Lapp and C. M. Penney (Plenum, New York, 1974), pp. 63–85.

J. J. Barrett and S. A. Myers, J. Opt. Soc. Am. 61, 1246 (1971).

Bendtsen, J.

J. Bendtsen, J. Raman Spectrosc. 2, 133 (1974).

Bernstein, H. J.

A. S. Gilbert and H. J. Bernstein, in Ref. 2, pp. 161–169.

Best, G. T.

G. T. Best, Appl. Opt. 6, 287 (1967).

Born, M.

M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, Oxford, 1970), pp. 323–333.

Bracewell, R.

R. Bracewell, The Fourier Transform and Its Applications, (McGraw-Hill, New York, 1965), p. 110.

Butcher, R. J.

R. J. Butcher, P. V. Willetts, and W. J. Jones, Proc. R. Soc. London Ser. A 324, 231 (1971).

Coney, T. A.

J. A. Salzman and T. A. Coney, NASA TN D-7679, 1974.

T. A. Coney and J. A. Salzman, NASA TN D-7126, 1973.

J. A. Salzman and T. A. Coney, NASA TM X-68250, 1973.

Cooney, J.

J. Cooney, J. Appl. Meteorol. 11, 108 (1972).

Cooper, V. G.

V. G. Cooper, Appl. Opt. 10, 525 (1971).

Fintak, J.

J. Fintak and J. VanKranendonk, Can. J. Phys. 40, 1085 (1962); Can. J. Phys. 41, 21 (1963).

Gilbert, A. S.

A. S. Gilbert and H. J. Bernstein, in Ref. 2, pp. 161–169.

Goldman, L. M.

M. Lapp, C. M. Penney, and L. M. Goldman, Opt. Commun. 9, 195 (1973).

Gray, C. G.

C. G. Gray and J. VanKranendonk, Can. J. Phys. 44, 2411 (1966).

Hargis, P. J.

P. J. Hargis and R. A. Hill, J. Opt. Soc. Am. 65, 219 (1975).

Harvey, A. B.

G. O. Neely, L. Y. Nelson, and A. B. Harvey, Appl. Spectrosc. 26, 553 (1972).

J. J. Barrett and A. B. Harvey, J. Opt. Soc. Am. 65, 392 (1975).

A. B. Harvey, in Ref. 2, pp. 147–152.

Hernandez, G.

G. Hernandez, Appl. Opt. 9, 1591 (1970).

G. Hernandez, Appl. Opt. 5, 1745 (1966).

Herzberg, G.

G. Herzberg, Molecular Spectra and Molecular Structure I. Spectra of Diatomic Molecules (Van Nostrand, Princeton, 1950).

Hickman, R. S.

R. S. Hickman and L. Liang, Rev. Sci. Instrum. 45, 1580 (1974).

R. S. Hickman and L. H. Liang, Rev. Sci. Instrum. 43, 796 (1972).

Hill, R. A.

P. J. Hargis and R. A. Hill, J. Opt. Soc. Am. 65, 219 (1975).

Jammu, K. S.

K. S. Jammu, G. E. St. John, and H. L. Welsh, Can. J. Phys. 44, 797 (1966).

John, G. E. St.

K. S. Jammu, G. E. St. John, and H. L. Welsh, Can. J. Phys. 44, 797 (1966).

Jones, W. J.

R. J. Butcher, P. V. Willetts, and W. J. Jones, Proc. R. Soc. London Ser. A 324, 231 (1971).

Kaminishi, K.

K. Kaminishi and S. Nawata, Jpn. J. Appl. Phys. 13, 1640 (1974).

Lapp, M.

M. Lapp, in Ref. 2, pp. 107–145.

M. Lapp, C. M. Penney, and L. M. Goldman, Opt. Commun. 9, 195 (1973).

C. M. Penney, R. L. St. Peters, and M. Lapp, J. Opt. Soc. Am. 64, 712 (1974).

Larson, H. P.

H. P. Larson and K. L. Andrew, Appl. Opt. 6, 1701 (1967).

Liang, L.

R. S. Hickman and L. Liang, Rev. Sci. Instrum. 45, 1580 (1974).

Liang, L. H.

R. S. Hickman and L. H. Liang, Rev. Sci. Instrum. 43, 796 (1972).

May, A. D.

A. D. May, E. G. Rawson, and H. L. Welsh, in Physics of Quantum Electronics, edited by P. L. Kelley, B. Lax, and P. E. Tannenwald (McGraw-Hill, New York, 1966), p. 260.

Myers, S. A.

J. J. Barrett and S. A. Myers, J. Opt. Soc. Am. 61, 1246 (1971).

Nawata, S.

K. Kaminishi and S. Nawata, Jpn. J. Appl. Phys. 13, 1640 (1974).

Neely, G. O.

G. O. Neely, L. Y. Nelson, and A. B. Harvey, Appl. Spectrosc. 26, 553 (1972).

Nelson, L. Y.

G. O. Neely, L. Y. Nelson, and A. B. Harvey, Appl. Spectrosc. 26, 553 (1972).

Penney, C. M.

C. M. Penney, R. L. St. Peters, and M. Lapp, J. Opt. Soc. Am. 64, 712 (1974).

M. Lapp, C. M. Penney, and L. M. Goldman, Opt. Commun. 9, 195 (1973).

Peters, R. L. St.

C. M. Penney, R. L. St. Peters, and M. Lapp, J. Opt. Soc. Am. 64, 712 (1974).

Rawson, E. G.

A. D. May, E. G. Rawson, and H. L. Welsh, in Physics of Quantum Electronics, edited by P. L. Kelley, B. Lax, and P. E. Tannenwald (McGraw-Hill, New York, 1966), p. 260.

Salzman, J. A.

J. A. Salzman and T. A. Coney, NASA TM X-68250, 1973.

J. A. Salzman, in Ref. 2, pp. 179–188.

J. A. Salzman and T. A. Coney, NASA TN D-7679, 1974.

T. A. Coney and J. A. Salzman, NASA TN D-7126, 1973.

Smith, J. R.

J. R. Smith, in Ref. 2, pp. 171–178.

Steel, W. H.

W. H. Steel, Interferometry (Cambridge University, Cambridge England, 1967), p. 112.

Stoicheff, B. P.

B. P. Stoicheff, in Advances in Spectroscopy, edited by H. W. Thompson (Interscience, New York, 1959), p. 113.

Sundius, T.

T. Sundius, J. Raman Spectrosc. 1, 471 (1973).

VanKranendonk, J.

J. VanKranendonk, Can. J. Phys. 41, 433 (1963).

J. Fintak and J. VanKranendonk, Can. J. Phys. 40, 1085 (1962); Can. J. Phys. 41, 21 (1963).

C. G. Gray and J. VanKranendonk, Can. J. Phys. 44, 2411 (1966).

Weber, A.

A. Weber (private communication).

J. J. Barrett and A. Weber, J. Mol. Spectrosc. 50, 205 (1974).

A. Weber, "High Resolution Raman Studies of Gases," in The Raman Effect, edited by A. Anderson (Marcel Dekker, New York, 1973), Vol. 2, pp. 543–757.

Welsh, H. L.

A. D. May, E. G. Rawson, and H. L. Welsh, in Physics of Quantum Electronics, edited by P. L. Kelley, B. Lax, and P. E. Tannenwald (McGraw-Hill, New York, 1966), p. 260.

K. S. Jammu, G. E. St. John, and H. L. Welsh, Can. J. Phys. 44, 797 (1966).

Willetts, P. V.

R. J. Butcher, P. V. Willetts, and W. J. Jones, Proc. R. Soc. London Ser. A 324, 231 (1971).

Wolf, E.

M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, Oxford, 1970), pp. 323–333.

Other (43)

J. J. Barrett and S. A. Myers, J. Opt. Soc. Am. 61, 1246 (1971).

J. J. Barrett, in Laser Raman Gas Diagnostics, edited by M. Lapp and C. M. Penney (Plenum, New York, 1974), pp. 63–85.

R. L. Armstrong, J. Opt. Soc. Am. 64, 871 (1974).

P. J. Hargis and R. A. Hill, J. Opt. Soc. Am. 65, 219 (1975).

T. Sundius, J. Raman Spectrosc. 1, 471 (1973).

E. A. Ballik, Appl. Opt. 5, 170 (1966).

G. Hernandez, Appl. Opt. 5, 1745 (1966).

G. T. Best, Appl. Opt. 6, 287 (1967).

H. P. Larson and K. L. Andrew, Appl. Opt. 6, 1701 (1967).

G. Hernandez, Appl. Opt. 9, 1591 (1970).

V. G. Cooper, Appl. Opt. 10, 525 (1971).

K. Kaminishi and S. Nawata, Jpn. J. Appl. Phys. 13, 1640 (1974).

J. Cooney, J. Appl. Meteorol. 11, 108 (1972).

R. S. Hickman and L. H. Liang, Rev. Sci. Instrum. 43, 796 (1972).

T. A. Coney and J. A. Salzman, NASA TN D-7126, 1973.

J. A. Salzman and T. A. Coney, NASA TM X-68250, 1973.

J. A. Salzman and T. A. Coney, NASA TN D-7679, 1974.

R. S. Hickman and L. Liang, Rev. Sci. Instrum. 45, 1580 (1974).

M. Lapp, in Ref. 2, pp. 107–145.

A. S. Gilbert and H. J. Bernstein, in Ref. 2, pp. 161–169.

J. R. Smith, in Ref. 2, pp. 171–178.

J. A. Salzman, in Ref. 2, pp. 179–188.

G. Herzberg, Molecular Spectra and Molecular Structure I. Spectra of Diatomic Molecules (Van Nostrand, Princeton, 1950).

B. P. Stoicheff, in Advances in Spectroscopy, edited by H. W. Thompson (Interscience, New York, 1959), p. 113.

G. O. Neely, L. Y. Nelson, and A. B. Harvey, Appl. Spectrosc. 26, 553 (1972).

M. Lapp, C. M. Penney, and L. M. Goldman, Opt. Commun. 9, 195 (1973).

A. B. Harvey, in Ref. 2, pp. 147–152.

J. J. Barrett and A. B. Harvey, J. Opt. Soc. Am. 65, 392 (1975).

R. L. Armstrong, Appl. Opt. 14, 383 (1975).

R. Bracewell, The Fourier Transform and Its Applications, (McGraw-Hill, New York, 1965), p. 110.

M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, Oxford, 1970), pp. 323–333.

W. H. Steel, Interferometry (Cambridge University, Cambridge England, 1967), p. 112.

A. Weber, "High Resolution Raman Studies of Gases," in The Raman Effect, edited by A. Anderson (Marcel Dekker, New York, 1973), Vol. 2, pp. 543–757.

C. M. Penney, R. L. St. Peters, and M. Lapp, J. Opt. Soc. Am. 64, 712 (1974).

J. J. Barrett and A. Weber, J. Mol. Spectrosc. 50, 205 (1974).

J. Fintak and J. VanKranendonk, Can. J. Phys. 40, 1085 (1962); Can. J. Phys. 41, 21 (1963).

J. VanKranendonk, Can. J. Phys. 41, 433 (1963).

C. G. Gray and J. VanKranendonk, Can. J. Phys. 44, 2411 (1966).

K. S. Jammu, G. E. St. John, and H. L. Welsh, Can. J. Phys. 44, 797 (1966).

A. D. May, E. G. Rawson, and H. L. Welsh, in Physics of Quantum Electronics, edited by P. L. Kelley, B. Lax, and P. E. Tannenwald (McGraw-Hill, New York, 1966), p. 260.

J. Bendtsen, J. Raman Spectrosc. 2, 133 (1974).

R. J. Butcher, P. V. Willetts, and W. J. Jones, Proc. R. Soc. London Ser. A 324, 231 (1971).

A. Weber (private communication).

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