Abstract

The differential cross section for the Q-branch vibrational transition in nitrogen has been determined by an experimental comparison of its magnitude with that of the cross section for the l → 3 rotational cross section in hydrogen. The frequency dependence of the nitrogen Q-branch vibrational transition has also been measured.

© 1973 Optical Society of America

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References

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  1. D. M. Golden and B. Crawford, J. Chem. Phys. 36, 1654 (1962).
    [Crossref]
  2. H. W. Schrötter and H. J. Bernstein, J. Mol. Spectrosc. 12, 1 (1964).
    [Crossref]
  3. Z. Kecki and H. J. Bernstein, J. Mol. Spectrosc. 15, 378 (1965).
    [Crossref]
  4. H. J. Bernstein, J. Mol. Spectrosc. 22, 122 (1967).
    [Crossref]
  5. E. J. Stansbury, M. F. Crawford, and H. L. Welsh, Can. J. Phys. 31, 954 (1953).
    [Crossref]
  6. W. F. Murphy, W. Holzer, and H. J. Bernstein, Appl. Spectrosc. 23, 211 (1969).
    [Crossref]
  7. C. M. Penny, L. M. Goldman, and M. Lapp, Nat. Phys. Sci. 235, 110 (1972).
    [Crossref]
  8. D. G. Fouche and R. K. Chang, Appl. Phys. Lett. 20, 256 (1972).
    [Crossref]
  9. W. R. Fenner, H. A. Hyatt, J. M. Kellam, and S. P. S. Porto, J. Opt. Soc. Am. 63, 73 (1973).
    [Crossref]
  10. G. Placzek, in Rayleigh-Streuung und Raman-Effekt, edited by Erich Marx, Handbuch der Radiologie VI, No. 2 (Akademische Verlagsgesellschaft, Leipzig, 1934), pp. 205–374, UCRL-Trans-526L.
  11. G. Herzberg, Molecular Spectra and Molecular Structure, I Spectra of Diatomic Molecules, 2nd ed. (Van Nostrand Reinhold, New York, 1950).
  12. W. Kolos and L. Wolniewicz, J. Chem. Phys. 46, 1426 (1967).
    [Crossref]
  13. A. Dalgarno and D. A. Williams, Mon. Not. R. Astron. Soc. 124, 313 (1962).
  14. G. A. Victor, J. C. Browne, and A. Dalgarno, Proc. Phys. Soc. Lond. 92, 42 (1967).
    [Crossref]
  15. G. A. Victor and A. Dalgarno, J. Chem. Phys. 50, 2535 (1968).
    [Crossref]
  16. A. L. Ford and J. C. Browne, Phys. Rev. A 7, 418 (1973).
    [Crossref]
  17. A. L. Ford and J. C. Browne, Atomic Data 5, 305 (1973).
    [Crossref]
  18. J. G. Skinner and W. G. Nilsen, J. Opt. Soc. Am. 58, 113 (1968).
    [Crossref]
  19. Y. Kato and H. Takuma, J. Opt. Soc. Am. 61, 347 (1971).
    [Crossref]

1973 (3)

W. R. Fenner, H. A. Hyatt, J. M. Kellam, and S. P. S. Porto, J. Opt. Soc. Am. 63, 73 (1973).
[Crossref]

A. L. Ford and J. C. Browne, Phys. Rev. A 7, 418 (1973).
[Crossref]

A. L. Ford and J. C. Browne, Atomic Data 5, 305 (1973).
[Crossref]

1972 (2)

C. M. Penny, L. M. Goldman, and M. Lapp, Nat. Phys. Sci. 235, 110 (1972).
[Crossref]

D. G. Fouche and R. K. Chang, Appl. Phys. Lett. 20, 256 (1972).
[Crossref]

1971 (1)

1969 (1)

1968 (2)

J. G. Skinner and W. G. Nilsen, J. Opt. Soc. Am. 58, 113 (1968).
[Crossref]

G. A. Victor and A. Dalgarno, J. Chem. Phys. 50, 2535 (1968).
[Crossref]

1967 (3)

G. A. Victor, J. C. Browne, and A. Dalgarno, Proc. Phys. Soc. Lond. 92, 42 (1967).
[Crossref]

W. Kolos and L. Wolniewicz, J. Chem. Phys. 46, 1426 (1967).
[Crossref]

H. J. Bernstein, J. Mol. Spectrosc. 22, 122 (1967).
[Crossref]

1965 (1)

Z. Kecki and H. J. Bernstein, J. Mol. Spectrosc. 15, 378 (1965).
[Crossref]

1964 (1)

H. W. Schrötter and H. J. Bernstein, J. Mol. Spectrosc. 12, 1 (1964).
[Crossref]

1962 (2)

D. M. Golden and B. Crawford, J. Chem. Phys. 36, 1654 (1962).
[Crossref]

A. Dalgarno and D. A. Williams, Mon. Not. R. Astron. Soc. 124, 313 (1962).

1953 (1)

E. J. Stansbury, M. F. Crawford, and H. L. Welsh, Can. J. Phys. 31, 954 (1953).
[Crossref]

Bernstein, H. J.

W. F. Murphy, W. Holzer, and H. J. Bernstein, Appl. Spectrosc. 23, 211 (1969).
[Crossref]

H. J. Bernstein, J. Mol. Spectrosc. 22, 122 (1967).
[Crossref]

Z. Kecki and H. J. Bernstein, J. Mol. Spectrosc. 15, 378 (1965).
[Crossref]

H. W. Schrötter and H. J. Bernstein, J. Mol. Spectrosc. 12, 1 (1964).
[Crossref]

Browne, J. C.

A. L. Ford and J. C. Browne, Phys. Rev. A 7, 418 (1973).
[Crossref]

A. L. Ford and J. C. Browne, Atomic Data 5, 305 (1973).
[Crossref]

G. A. Victor, J. C. Browne, and A. Dalgarno, Proc. Phys. Soc. Lond. 92, 42 (1967).
[Crossref]

Chang, R. K.

D. G. Fouche and R. K. Chang, Appl. Phys. Lett. 20, 256 (1972).
[Crossref]

Crawford, B.

D. M. Golden and B. Crawford, J. Chem. Phys. 36, 1654 (1962).
[Crossref]

Crawford, M. F.

E. J. Stansbury, M. F. Crawford, and H. L. Welsh, Can. J. Phys. 31, 954 (1953).
[Crossref]

Dalgarno, A.

G. A. Victor and A. Dalgarno, J. Chem. Phys. 50, 2535 (1968).
[Crossref]

G. A. Victor, J. C. Browne, and A. Dalgarno, Proc. Phys. Soc. Lond. 92, 42 (1967).
[Crossref]

A. Dalgarno and D. A. Williams, Mon. Not. R. Astron. Soc. 124, 313 (1962).

Fenner, W. R.

Ford, A. L.

A. L. Ford and J. C. Browne, Phys. Rev. A 7, 418 (1973).
[Crossref]

A. L. Ford and J. C. Browne, Atomic Data 5, 305 (1973).
[Crossref]

Fouche, D. G.

D. G. Fouche and R. K. Chang, Appl. Phys. Lett. 20, 256 (1972).
[Crossref]

Golden, D. M.

D. M. Golden and B. Crawford, J. Chem. Phys. 36, 1654 (1962).
[Crossref]

Goldman, L. M.

C. M. Penny, L. M. Goldman, and M. Lapp, Nat. Phys. Sci. 235, 110 (1972).
[Crossref]

Herzberg, G.

G. Herzberg, Molecular Spectra and Molecular Structure, I Spectra of Diatomic Molecules, 2nd ed. (Van Nostrand Reinhold, New York, 1950).

Holzer, W.

Hyatt, H. A.

Kato, Y.

Kecki, Z.

Z. Kecki and H. J. Bernstein, J. Mol. Spectrosc. 15, 378 (1965).
[Crossref]

Kellam, J. M.

Kolos, W.

W. Kolos and L. Wolniewicz, J. Chem. Phys. 46, 1426 (1967).
[Crossref]

Lapp, M.

C. M. Penny, L. M. Goldman, and M. Lapp, Nat. Phys. Sci. 235, 110 (1972).
[Crossref]

Murphy, W. F.

Nilsen, W. G.

Penny, C. M.

C. M. Penny, L. M. Goldman, and M. Lapp, Nat. Phys. Sci. 235, 110 (1972).
[Crossref]

Placzek, G.

G. Placzek, in Rayleigh-Streuung und Raman-Effekt, edited by Erich Marx, Handbuch der Radiologie VI, No. 2 (Akademische Verlagsgesellschaft, Leipzig, 1934), pp. 205–374, UCRL-Trans-526L.

Porto, S. P. S.

Schrötter, H. W.

H. W. Schrötter and H. J. Bernstein, J. Mol. Spectrosc. 12, 1 (1964).
[Crossref]

Skinner, J. G.

Stansbury, E. J.

E. J. Stansbury, M. F. Crawford, and H. L. Welsh, Can. J. Phys. 31, 954 (1953).
[Crossref]

Takuma, H.

Victor, G. A.

G. A. Victor and A. Dalgarno, J. Chem. Phys. 50, 2535 (1968).
[Crossref]

G. A. Victor, J. C. Browne, and A. Dalgarno, Proc. Phys. Soc. Lond. 92, 42 (1967).
[Crossref]

Welsh, H. L.

E. J. Stansbury, M. F. Crawford, and H. L. Welsh, Can. J. Phys. 31, 954 (1953).
[Crossref]

Williams, D. A.

A. Dalgarno and D. A. Williams, Mon. Not. R. Astron. Soc. 124, 313 (1962).

Wolniewicz, L.

W. Kolos and L. Wolniewicz, J. Chem. Phys. 46, 1426 (1967).
[Crossref]

Appl. Phys. Lett. (1)

D. G. Fouche and R. K. Chang, Appl. Phys. Lett. 20, 256 (1972).
[Crossref]

Appl. Spectrosc. (1)

Atomic Data (1)

A. L. Ford and J. C. Browne, Atomic Data 5, 305 (1973).
[Crossref]

Can. J. Phys. (1)

E. J. Stansbury, M. F. Crawford, and H. L. Welsh, Can. J. Phys. 31, 954 (1953).
[Crossref]

J. Chem. Phys. (3)

G. A. Victor and A. Dalgarno, J. Chem. Phys. 50, 2535 (1968).
[Crossref]

D. M. Golden and B. Crawford, J. Chem. Phys. 36, 1654 (1962).
[Crossref]

W. Kolos and L. Wolniewicz, J. Chem. Phys. 46, 1426 (1967).
[Crossref]

J. Mol. Spectrosc. (3)

H. W. Schrötter and H. J. Bernstein, J. Mol. Spectrosc. 12, 1 (1964).
[Crossref]

Z. Kecki and H. J. Bernstein, J. Mol. Spectrosc. 15, 378 (1965).
[Crossref]

H. J. Bernstein, J. Mol. Spectrosc. 22, 122 (1967).
[Crossref]

J. Opt. Soc. Am. (3)

Mon. Not. R. Astron. Soc. (1)

A. Dalgarno and D. A. Williams, Mon. Not. R. Astron. Soc. 124, 313 (1962).

Nat. Phys. Sci. (1)

C. M. Penny, L. M. Goldman, and M. Lapp, Nat. Phys. Sci. 235, 110 (1972).
[Crossref]

Phys. Rev. A (1)

A. L. Ford and J. C. Browne, Phys. Rev. A 7, 418 (1973).
[Crossref]

Proc. Phys. Soc. Lond. (1)

G. A. Victor, J. C. Browne, and A. Dalgarno, Proc. Phys. Soc. Lond. 92, 42 (1967).
[Crossref]

Other (2)

G. Placzek, in Rayleigh-Streuung und Raman-Effekt, edited by Erich Marx, Handbuch der Radiologie VI, No. 2 (Akademische Verlagsgesellschaft, Leipzig, 1934), pp. 205–374, UCRL-Trans-526L.

G. Herzberg, Molecular Spectra and Molecular Structure, I Spectra of Diatomic Molecules, 2nd ed. (Van Nostrand Reinhold, New York, 1950).

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Figures (1)

Fig. 1
Fig. 1

Measured frequency dependence of 2331-cm−1Q-branch vibrational Raman cross section in nitrogen gas.

Tables (2)

Tables Icon

Table I Theoretical Raman cross section for the J = 1 → 3 pure rotational transition in molecular hydrogen gas at temperature 22°C.

Tables Icon

Table II Absolute differential Raman cross section of the 2331-cm−1Q-branch Raman transition in N2 gas. All cross sections in units of cm2/mol · sr.

Equations (8)

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

[ d σ d Ω ] J = 3 8 π σ 0 ( J ) ( 6 + sin 2 θ 10 ) ,
σ 0 ( J ) = 128 π 5 9 λ R 4 S ( J ) γ 00 2 .
S ( J ) = ( J + 1 ) ( J + 2 ) ( 2 J + 3 ) ( 2 J + 1 ) for the Stokes line
S ( J ) = J ( J 1 ) ( 2 J 1 ) ( 2 J + 1 ) for the anti-Stokes lines .
I J R = N J · [ d σ d Ω ] J · I L · V = N 0 · Φ ( J ) · [ d σ d Ω ] J · I L · V ,
Φ ( J ) = N J N 0 = g J ( 2 J + 1 ) exp { F ( J ) h c / k T } / j = 0 g J ( 2 J + 1 ) exp { F ( J ) h c / k T } .
I Q R = N 0 · [ d σ d Ω ] Q · I L · V .
[ d σ ( N 2 ) d Ω ] Q = Φ ( J ) [ d σ ( H 2 ) d Ω ] J [ I Q ( N 2 ) I J ( H 2 ) ] .