Abstract

New high-temperature measurements of collisional linewidths of the Raman Q branch of nitrogen have been performed at 1700–2400 K with stimulated Raman spectroscopy in a tungsten filament. We fitted these data together with previous data obtained in the 295–1500-K range to redetermine the parameters of the relaxation models used in coherent anti-Stokes Raman spectroscopy thermometry. The improvement in the accuracy of the temperature measurement has been checked. Semiclassical calculations of linewidths in the 1700–2400-K range agree with the experimental data and have been extended to even higher temperatures.

© 1995 Optical Society of America

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  1. D. A. Greenhalgh, in Advances in Non-Linear Spectroscopy, J. H. Clark, R. E. Hester, eds. (Wiley, New York, 1988), Vol. 15, pp. 193–251.
  2. D. Robert, in Raman Spectroscopy: Sixty Years On Vibrational Spectra and Structure, H. D. Bist, J. R. Durig, J. F. Sullivan, eds. (Elsevier, Amsterdam, 1989), Vol. 17B, pp. 57–82.
  3. G. Millot, B. Lavorel, G. Fanjoux, C. Wenger, Appl. Phys. B 56, 287 (1993), and references therein.
    [CrossRef]
  4. G. J. Rosasco, W. Lempert, W. S. Hurst, A. Fein, Chem. Phys. Lett. 97, 435 (1983).
    [CrossRef]
  5. B. Lavorel, G. Millot, R. Saint-Loup, C. Wenger, H. Berger, J. P. Sala, J. Bonamy, D. Robert, J. Phys. (Paris) 47, 417 (1986).
    [CrossRef]
  6. L. A. Rahn, R. E. Palmer, J. Opt. Soc. Am. B 3, 1164 (1986).
    [CrossRef]
  7. R. L. Farrow, R. Trebino, R. E. Palmer, Appl. Opt. 26, 331 (1987).
    [CrossRef] [PubMed]
  8. J. P. Looney, G. J. Rosasco, J. Chem. Phys. 95, 2379 (1991).
    [CrossRef]
  9. P. J. Agg, D. C. Clary, Mol. Phys. 73, 317 (1991).
    [CrossRef]
  10. S. Green, J. Chem. Phys. 98, 257 (1993).
    [CrossRef]
  11. D. Robert, J. Bonamy, J. Phys. (Paris) 40, 923 (1979).
    [CrossRef]
  12. D. A. Greenhalgh, R. Devonshire, I. S. Dring, J. Meads, H. F. Boysan, Chem. Phys. Lett. 133, 458 (1987).
    [CrossRef]
  13. G. Millot, B. Lavorel, R. Chaux, R. Saint-Loup, G. Pierre, H. Berger, J. I. Steinfeld, B. Foy, J. Mol. Spectrosc. 127, 156 (1988).
    [CrossRef]
  14. G. Millot, R. Saint-Loup, J. Santos, R. Chaux, H. Berger, J. Bonamy, J. Chem. Phys. 96, 961 (1992).
    [CrossRef]
  15. M. L. Koszykowski, L. A. Rahn, R. E. Palmer, M. E. Coltrin, J. Phys. Chem. 91, 41 (1987).
    [CrossRef]
  16. J. Steinfeld, I. P. Ruttenberg, G. Millot, G. Fanjoux, B. Lavorel, J. Phys. Chem. 95, 9638 (1991).
    [CrossRef]
  17. L. Bonamy, J. Bonamy, D. Robert, B. Lavorel, R. Saint-Loup, R. Chaux, J. Santos, H. Berger, J. Chem. Phys. 89, 5568 (1988).
    [CrossRef]
  18. G. Millot, J. Chem. Phys. 93, 8001 (1990).
    [CrossRef]

1993

G. Millot, B. Lavorel, G. Fanjoux, C. Wenger, Appl. Phys. B 56, 287 (1993), and references therein.
[CrossRef]

S. Green, J. Chem. Phys. 98, 257 (1993).
[CrossRef]

1992

G. Millot, R. Saint-Loup, J. Santos, R. Chaux, H. Berger, J. Bonamy, J. Chem. Phys. 96, 961 (1992).
[CrossRef]

1991

J. Steinfeld, I. P. Ruttenberg, G. Millot, G. Fanjoux, B. Lavorel, J. Phys. Chem. 95, 9638 (1991).
[CrossRef]

J. P. Looney, G. J. Rosasco, J. Chem. Phys. 95, 2379 (1991).
[CrossRef]

P. J. Agg, D. C. Clary, Mol. Phys. 73, 317 (1991).
[CrossRef]

1990

G. Millot, J. Chem. Phys. 93, 8001 (1990).
[CrossRef]

1988

G. Millot, B. Lavorel, R. Chaux, R. Saint-Loup, G. Pierre, H. Berger, J. I. Steinfeld, B. Foy, J. Mol. Spectrosc. 127, 156 (1988).
[CrossRef]

L. Bonamy, J. Bonamy, D. Robert, B. Lavorel, R. Saint-Loup, R. Chaux, J. Santos, H. Berger, J. Chem. Phys. 89, 5568 (1988).
[CrossRef]

1987

M. L. Koszykowski, L. A. Rahn, R. E. Palmer, M. E. Coltrin, J. Phys. Chem. 91, 41 (1987).
[CrossRef]

R. L. Farrow, R. Trebino, R. E. Palmer, Appl. Opt. 26, 331 (1987).
[CrossRef] [PubMed]

D. A. Greenhalgh, R. Devonshire, I. S. Dring, J. Meads, H. F. Boysan, Chem. Phys. Lett. 133, 458 (1987).
[CrossRef]

1986

B. Lavorel, G. Millot, R. Saint-Loup, C. Wenger, H. Berger, J. P. Sala, J. Bonamy, D. Robert, J. Phys. (Paris) 47, 417 (1986).
[CrossRef]

L. A. Rahn, R. E. Palmer, J. Opt. Soc. Am. B 3, 1164 (1986).
[CrossRef]

1983

G. J. Rosasco, W. Lempert, W. S. Hurst, A. Fein, Chem. Phys. Lett. 97, 435 (1983).
[CrossRef]

1979

D. Robert, J. Bonamy, J. Phys. (Paris) 40, 923 (1979).
[CrossRef]

Agg, P. J.

P. J. Agg, D. C. Clary, Mol. Phys. 73, 317 (1991).
[CrossRef]

Berger, H.

G. Millot, R. Saint-Loup, J. Santos, R. Chaux, H. Berger, J. Bonamy, J. Chem. Phys. 96, 961 (1992).
[CrossRef]

G. Millot, B. Lavorel, R. Chaux, R. Saint-Loup, G. Pierre, H. Berger, J. I. Steinfeld, B. Foy, J. Mol. Spectrosc. 127, 156 (1988).
[CrossRef]

L. Bonamy, J. Bonamy, D. Robert, B. Lavorel, R. Saint-Loup, R. Chaux, J. Santos, H. Berger, J. Chem. Phys. 89, 5568 (1988).
[CrossRef]

B. Lavorel, G. Millot, R. Saint-Loup, C. Wenger, H. Berger, J. P. Sala, J. Bonamy, D. Robert, J. Phys. (Paris) 47, 417 (1986).
[CrossRef]

Bonamy, J.

G. Millot, R. Saint-Loup, J. Santos, R. Chaux, H. Berger, J. Bonamy, J. Chem. Phys. 96, 961 (1992).
[CrossRef]

L. Bonamy, J. Bonamy, D. Robert, B. Lavorel, R. Saint-Loup, R. Chaux, J. Santos, H. Berger, J. Chem. Phys. 89, 5568 (1988).
[CrossRef]

B. Lavorel, G. Millot, R. Saint-Loup, C. Wenger, H. Berger, J. P. Sala, J. Bonamy, D. Robert, J. Phys. (Paris) 47, 417 (1986).
[CrossRef]

D. Robert, J. Bonamy, J. Phys. (Paris) 40, 923 (1979).
[CrossRef]

Bonamy, L.

L. Bonamy, J. Bonamy, D. Robert, B. Lavorel, R. Saint-Loup, R. Chaux, J. Santos, H. Berger, J. Chem. Phys. 89, 5568 (1988).
[CrossRef]

Boysan, H. F.

D. A. Greenhalgh, R. Devonshire, I. S. Dring, J. Meads, H. F. Boysan, Chem. Phys. Lett. 133, 458 (1987).
[CrossRef]

Chaux, R.

G. Millot, R. Saint-Loup, J. Santos, R. Chaux, H. Berger, J. Bonamy, J. Chem. Phys. 96, 961 (1992).
[CrossRef]

L. Bonamy, J. Bonamy, D. Robert, B. Lavorel, R. Saint-Loup, R. Chaux, J. Santos, H. Berger, J. Chem. Phys. 89, 5568 (1988).
[CrossRef]

G. Millot, B. Lavorel, R. Chaux, R. Saint-Loup, G. Pierre, H. Berger, J. I. Steinfeld, B. Foy, J. Mol. Spectrosc. 127, 156 (1988).
[CrossRef]

Clary, D. C.

P. J. Agg, D. C. Clary, Mol. Phys. 73, 317 (1991).
[CrossRef]

Coltrin, M. E.

M. L. Koszykowski, L. A. Rahn, R. E. Palmer, M. E. Coltrin, J. Phys. Chem. 91, 41 (1987).
[CrossRef]

Devonshire, R.

D. A. Greenhalgh, R. Devonshire, I. S. Dring, J. Meads, H. F. Boysan, Chem. Phys. Lett. 133, 458 (1987).
[CrossRef]

Dring, I. S.

D. A. Greenhalgh, R. Devonshire, I. S. Dring, J. Meads, H. F. Boysan, Chem. Phys. Lett. 133, 458 (1987).
[CrossRef]

Fanjoux, G.

G. Millot, B. Lavorel, G. Fanjoux, C. Wenger, Appl. Phys. B 56, 287 (1993), and references therein.
[CrossRef]

J. Steinfeld, I. P. Ruttenberg, G. Millot, G. Fanjoux, B. Lavorel, J. Phys. Chem. 95, 9638 (1991).
[CrossRef]

Farrow, R. L.

Fein, A.

G. J. Rosasco, W. Lempert, W. S. Hurst, A. Fein, Chem. Phys. Lett. 97, 435 (1983).
[CrossRef]

Foy, B.

G. Millot, B. Lavorel, R. Chaux, R. Saint-Loup, G. Pierre, H. Berger, J. I. Steinfeld, B. Foy, J. Mol. Spectrosc. 127, 156 (1988).
[CrossRef]

Green, S.

S. Green, J. Chem. Phys. 98, 257 (1993).
[CrossRef]

Greenhalgh, D. A.

D. A. Greenhalgh, R. Devonshire, I. S. Dring, J. Meads, H. F. Boysan, Chem. Phys. Lett. 133, 458 (1987).
[CrossRef]

D. A. Greenhalgh, in Advances in Non-Linear Spectroscopy, J. H. Clark, R. E. Hester, eds. (Wiley, New York, 1988), Vol. 15, pp. 193–251.

Hurst, W. S.

G. J. Rosasco, W. Lempert, W. S. Hurst, A. Fein, Chem. Phys. Lett. 97, 435 (1983).
[CrossRef]

Koszykowski, M. L.

M. L. Koszykowski, L. A. Rahn, R. E. Palmer, M. E. Coltrin, J. Phys. Chem. 91, 41 (1987).
[CrossRef]

Lavorel, B.

G. Millot, B. Lavorel, G. Fanjoux, C. Wenger, Appl. Phys. B 56, 287 (1993), and references therein.
[CrossRef]

J. Steinfeld, I. P. Ruttenberg, G. Millot, G. Fanjoux, B. Lavorel, J. Phys. Chem. 95, 9638 (1991).
[CrossRef]

L. Bonamy, J. Bonamy, D. Robert, B. Lavorel, R. Saint-Loup, R. Chaux, J. Santos, H. Berger, J. Chem. Phys. 89, 5568 (1988).
[CrossRef]

G. Millot, B. Lavorel, R. Chaux, R. Saint-Loup, G. Pierre, H. Berger, J. I. Steinfeld, B. Foy, J. Mol. Spectrosc. 127, 156 (1988).
[CrossRef]

B. Lavorel, G. Millot, R. Saint-Loup, C. Wenger, H. Berger, J. P. Sala, J. Bonamy, D. Robert, J. Phys. (Paris) 47, 417 (1986).
[CrossRef]

Lempert, W.

G. J. Rosasco, W. Lempert, W. S. Hurst, A. Fein, Chem. Phys. Lett. 97, 435 (1983).
[CrossRef]

Looney, J. P.

J. P. Looney, G. J. Rosasco, J. Chem. Phys. 95, 2379 (1991).
[CrossRef]

Meads, J.

D. A. Greenhalgh, R. Devonshire, I. S. Dring, J. Meads, H. F. Boysan, Chem. Phys. Lett. 133, 458 (1987).
[CrossRef]

Millot, G.

G. Millot, B. Lavorel, G. Fanjoux, C. Wenger, Appl. Phys. B 56, 287 (1993), and references therein.
[CrossRef]

G. Millot, R. Saint-Loup, J. Santos, R. Chaux, H. Berger, J. Bonamy, J. Chem. Phys. 96, 961 (1992).
[CrossRef]

J. Steinfeld, I. P. Ruttenberg, G. Millot, G. Fanjoux, B. Lavorel, J. Phys. Chem. 95, 9638 (1991).
[CrossRef]

G. Millot, J. Chem. Phys. 93, 8001 (1990).
[CrossRef]

G. Millot, B. Lavorel, R. Chaux, R. Saint-Loup, G. Pierre, H. Berger, J. I. Steinfeld, B. Foy, J. Mol. Spectrosc. 127, 156 (1988).
[CrossRef]

B. Lavorel, G. Millot, R. Saint-Loup, C. Wenger, H. Berger, J. P. Sala, J. Bonamy, D. Robert, J. Phys. (Paris) 47, 417 (1986).
[CrossRef]

Palmer, R. E.

Pierre, G.

G. Millot, B. Lavorel, R. Chaux, R. Saint-Loup, G. Pierre, H. Berger, J. I. Steinfeld, B. Foy, J. Mol. Spectrosc. 127, 156 (1988).
[CrossRef]

Rahn, L. A.

M. L. Koszykowski, L. A. Rahn, R. E. Palmer, M. E. Coltrin, J. Phys. Chem. 91, 41 (1987).
[CrossRef]

L. A. Rahn, R. E. Palmer, J. Opt. Soc. Am. B 3, 1164 (1986).
[CrossRef]

Robert, D.

L. Bonamy, J. Bonamy, D. Robert, B. Lavorel, R. Saint-Loup, R. Chaux, J. Santos, H. Berger, J. Chem. Phys. 89, 5568 (1988).
[CrossRef]

B. Lavorel, G. Millot, R. Saint-Loup, C. Wenger, H. Berger, J. P. Sala, J. Bonamy, D. Robert, J. Phys. (Paris) 47, 417 (1986).
[CrossRef]

D. Robert, J. Bonamy, J. Phys. (Paris) 40, 923 (1979).
[CrossRef]

D. Robert, in Raman Spectroscopy: Sixty Years On Vibrational Spectra and Structure, H. D. Bist, J. R. Durig, J. F. Sullivan, eds. (Elsevier, Amsterdam, 1989), Vol. 17B, pp. 57–82.

Rosasco, G. J.

J. P. Looney, G. J. Rosasco, J. Chem. Phys. 95, 2379 (1991).
[CrossRef]

G. J. Rosasco, W. Lempert, W. S. Hurst, A. Fein, Chem. Phys. Lett. 97, 435 (1983).
[CrossRef]

Ruttenberg, I. P.

J. Steinfeld, I. P. Ruttenberg, G. Millot, G. Fanjoux, B. Lavorel, J. Phys. Chem. 95, 9638 (1991).
[CrossRef]

Saint-Loup, R.

G. Millot, R. Saint-Loup, J. Santos, R. Chaux, H. Berger, J. Bonamy, J. Chem. Phys. 96, 961 (1992).
[CrossRef]

G. Millot, B. Lavorel, R. Chaux, R. Saint-Loup, G. Pierre, H. Berger, J. I. Steinfeld, B. Foy, J. Mol. Spectrosc. 127, 156 (1988).
[CrossRef]

L. Bonamy, J. Bonamy, D. Robert, B. Lavorel, R. Saint-Loup, R. Chaux, J. Santos, H. Berger, J. Chem. Phys. 89, 5568 (1988).
[CrossRef]

B. Lavorel, G. Millot, R. Saint-Loup, C. Wenger, H. Berger, J. P. Sala, J. Bonamy, D. Robert, J. Phys. (Paris) 47, 417 (1986).
[CrossRef]

Sala, J. P.

B. Lavorel, G. Millot, R. Saint-Loup, C. Wenger, H. Berger, J. P. Sala, J. Bonamy, D. Robert, J. Phys. (Paris) 47, 417 (1986).
[CrossRef]

Santos, J.

G. Millot, R. Saint-Loup, J. Santos, R. Chaux, H. Berger, J. Bonamy, J. Chem. Phys. 96, 961 (1992).
[CrossRef]

L. Bonamy, J. Bonamy, D. Robert, B. Lavorel, R. Saint-Loup, R. Chaux, J. Santos, H. Berger, J. Chem. Phys. 89, 5568 (1988).
[CrossRef]

Steinfeld, J.

J. Steinfeld, I. P. Ruttenberg, G. Millot, G. Fanjoux, B. Lavorel, J. Phys. Chem. 95, 9638 (1991).
[CrossRef]

Steinfeld, J. I.

G. Millot, B. Lavorel, R. Chaux, R. Saint-Loup, G. Pierre, H. Berger, J. I. Steinfeld, B. Foy, J. Mol. Spectrosc. 127, 156 (1988).
[CrossRef]

Trebino, R.

Wenger, C.

G. Millot, B. Lavorel, G. Fanjoux, C. Wenger, Appl. Phys. B 56, 287 (1993), and references therein.
[CrossRef]

B. Lavorel, G. Millot, R. Saint-Loup, C. Wenger, H. Berger, J. P. Sala, J. Bonamy, D. Robert, J. Phys. (Paris) 47, 417 (1986).
[CrossRef]

Appl. Opt.

Appl. Phys. B

G. Millot, B. Lavorel, G. Fanjoux, C. Wenger, Appl. Phys. B 56, 287 (1993), and references therein.
[CrossRef]

Chem. Phys. Lett.

G. J. Rosasco, W. Lempert, W. S. Hurst, A. Fein, Chem. Phys. Lett. 97, 435 (1983).
[CrossRef]

D. A. Greenhalgh, R. Devonshire, I. S. Dring, J. Meads, H. F. Boysan, Chem. Phys. Lett. 133, 458 (1987).
[CrossRef]

J. Chem. Phys.

G. Millot, R. Saint-Loup, J. Santos, R. Chaux, H. Berger, J. Bonamy, J. Chem. Phys. 96, 961 (1992).
[CrossRef]

L. Bonamy, J. Bonamy, D. Robert, B. Lavorel, R. Saint-Loup, R. Chaux, J. Santos, H. Berger, J. Chem. Phys. 89, 5568 (1988).
[CrossRef]

G. Millot, J. Chem. Phys. 93, 8001 (1990).
[CrossRef]

J. P. Looney, G. J. Rosasco, J. Chem. Phys. 95, 2379 (1991).
[CrossRef]

S. Green, J. Chem. Phys. 98, 257 (1993).
[CrossRef]

J. Mol. Spectrosc.

G. Millot, B. Lavorel, R. Chaux, R. Saint-Loup, G. Pierre, H. Berger, J. I. Steinfeld, B. Foy, J. Mol. Spectrosc. 127, 156 (1988).
[CrossRef]

J. Opt. Soc. Am. B

J. Phys.

D. Robert, J. Bonamy, J. Phys. (Paris) 40, 923 (1979).
[CrossRef]

B. Lavorel, G. Millot, R. Saint-Loup, C. Wenger, H. Berger, J. P. Sala, J. Bonamy, D. Robert, J. Phys. (Paris) 47, 417 (1986).
[CrossRef]

J. Phys. Chem.

M. L. Koszykowski, L. A. Rahn, R. E. Palmer, M. E. Coltrin, J. Phys. Chem. 91, 41 (1987).
[CrossRef]

J. Steinfeld, I. P. Ruttenberg, G. Millot, G. Fanjoux, B. Lavorel, J. Phys. Chem. 95, 9638 (1991).
[CrossRef]

Mol. Phys.

P. J. Agg, D. C. Clary, Mol. Phys. 73, 317 (1991).
[CrossRef]

Other

D. A. Greenhalgh, in Advances in Non-Linear Spectroscopy, J. H. Clark, R. E. Hester, eds. (Wiley, New York, 1988), Vol. 15, pp. 193–251.

D. Robert, in Raman Spectroscopy: Sixty Years On Vibrational Spectra and Structure, H. D. Bist, J. R. Durig, J. F. Sullivan, eds. (Elsevier, Amsterdam, 1989), Vol. 17B, pp. 57–82.

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Figures (1)

Fig. 1
Fig. 1

Experimental (data points) and theoretical (solid curve) SRS spectra of the N2 Q branch (J = 0–10) at a temperature of 2400 K and a pressure of 0.877 bar.

Tables (3)

Tables Icon

Table 1 Collisional Line-Broadening Coefficients γJ(T) of N2 at High Temperatures a

Tables Icon

Table 2 Various Parameters of the MEG Model a

Tables Icon

Table 3 Temperatures Deduced from the Set of MEG Parameters Given in Table 2 Compared with Those of the Pyrometer a

Equations (1)

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γ J ( T ) = γ J ( T 0 ) ( T / T 0 ) - n ( J ) ,

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