Abstract

An accurate measurement has been made of the Raman scattering cross section of the 992 cm<sup>-1</sup> line of benzene. Previous cross-section measurements were either made indirectly by comparison with the Ray-leigh scattering cross section or by using a pulsed light source. In the present measurement the cross section was measured directly using a cw argon laser as the light source. The results give a peak differential cross section of 1.05(±0.08)×10<sup>-29</sup> cm<sup>2</sup> per molecule, per steradian, per wavenumber of linewidth, per plane of polarization for an incident light beam with a wavelength of 4880 Å, and a linewidth of 2.3 (±0.05) cm<sup>-1</sup>. Allowing for the wavelength dependence and the optical dispersion, our total cross section agrees to within 20% with two other results. The Raman scattering cross sections of other liquids have been measured by use of the 992 cm<sup>-1</sup> line of benzene as a reference. These values, together with details of the absolute cross-section measurement, are presented.

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  1. H. W. Schrotter and H. J. Bernstein, J. Mol. Spectry. 12, 1 (1964).
  2. G. E. Eckhardt, R. W. Hellwarth, F. J. McClung, S. E. Schwarz, D. Weiner, and E. J. Woodbury, Phys. Rev. Letters 9, 455 (1962).
  3. F. J. McClung and D. Weiner, J. Opt. Soc. Am. 54, 641 (1964); D. Weiner, S. E. Schwarz, and F. J. McClung, J. Appl. Phys. 36, 2395 (1965).
  4. T. C. Damen, R. C. C. Leite, and S. P. S. Porto, Phys. Rev. Letters 14, 9 (1965).
  5. G. Bret, Compt. Rend, 260, 6323 (1965).
  6. F. J. McClung, W. G. Wagner, and D. Weiner, Phys. Rev. Letters 15, 96 (1965).
  7. P. A. M. Dirac, Principles of Quantum Mechanics (Oxford University Press, New York, 1958) 4th ed.
  8. Since the spectrometer and the standard lamp are calibrated in terms of wavelength, the appropriate parameters are measured in terms of per unit wavelength, and the final result is then converted in terms of per unit wavenumber.
  9. Value of the refractive index for benzene extrapolated from data given in American Institute of Physics Handbook, (McGraw-Hill Book Company, New York, 1963), 2nd ed.
  10. International Critical Tables (McGraw-Hill Book Company, New York, 1930).

Bernstein, H. J.

H. W. Schrotter and H. J. Bernstein, J. Mol. Spectry. 12, 1 (1964).

Bret, G.

G. Bret, Compt. Rend, 260, 6323 (1965).

Damen, T. C.

T. C. Damen, R. C. C. Leite, and S. P. S. Porto, Phys. Rev. Letters 14, 9 (1965).

Dirac, P. A. M.

P. A. M. Dirac, Principles of Quantum Mechanics (Oxford University Press, New York, 1958) 4th ed.

Eckhardt, G. E.

G. E. Eckhardt, R. W. Hellwarth, F. J. McClung, S. E. Schwarz, D. Weiner, and E. J. Woodbury, Phys. Rev. Letters 9, 455 (1962).

Hellwarth, R. W.

G. E. Eckhardt, R. W. Hellwarth, F. J. McClung, S. E. Schwarz, D. Weiner, and E. J. Woodbury, Phys. Rev. Letters 9, 455 (1962).

Leite, R. C. C.

T. C. Damen, R. C. C. Leite, and S. P. S. Porto, Phys. Rev. Letters 14, 9 (1965).

McClung, F. J.

F. J. McClung and D. Weiner, J. Opt. Soc. Am. 54, 641 (1964); D. Weiner, S. E. Schwarz, and F. J. McClung, J. Appl. Phys. 36, 2395 (1965).

G. E. Eckhardt, R. W. Hellwarth, F. J. McClung, S. E. Schwarz, D. Weiner, and E. J. Woodbury, Phys. Rev. Letters 9, 455 (1962).

F. J. McClung, W. G. Wagner, and D. Weiner, Phys. Rev. Letters 15, 96 (1965).

Porto, S. P. S.

T. C. Damen, R. C. C. Leite, and S. P. S. Porto, Phys. Rev. Letters 14, 9 (1965).

Schrotter, H. W.

H. W. Schrotter and H. J. Bernstein, J. Mol. Spectry. 12, 1 (1964).

Schwarz, S. E.

G. E. Eckhardt, R. W. Hellwarth, F. J. McClung, S. E. Schwarz, D. Weiner, and E. J. Woodbury, Phys. Rev. Letters 9, 455 (1962).

Wagner, W. G.

F. J. McClung, W. G. Wagner, and D. Weiner, Phys. Rev. Letters 15, 96 (1965).

Weiner, D.

F. J. McClung, W. G. Wagner, and D. Weiner, Phys. Rev. Letters 15, 96 (1965).

G. E. Eckhardt, R. W. Hellwarth, F. J. McClung, S. E. Schwarz, D. Weiner, and E. J. Woodbury, Phys. Rev. Letters 9, 455 (1962).

F. J. McClung and D. Weiner, J. Opt. Soc. Am. 54, 641 (1964); D. Weiner, S. E. Schwarz, and F. J. McClung, J. Appl. Phys. 36, 2395 (1965).

Woodbury, E. J.

G. E. Eckhardt, R. W. Hellwarth, F. J. McClung, S. E. Schwarz, D. Weiner, and E. J. Woodbury, Phys. Rev. Letters 9, 455 (1962).

Other (10)

H. W. Schrotter and H. J. Bernstein, J. Mol. Spectry. 12, 1 (1964).

G. E. Eckhardt, R. W. Hellwarth, F. J. McClung, S. E. Schwarz, D. Weiner, and E. J. Woodbury, Phys. Rev. Letters 9, 455 (1962).

F. J. McClung and D. Weiner, J. Opt. Soc. Am. 54, 641 (1964); D. Weiner, S. E. Schwarz, and F. J. McClung, J. Appl. Phys. 36, 2395 (1965).

T. C. Damen, R. C. C. Leite, and S. P. S. Porto, Phys. Rev. Letters 14, 9 (1965).

G. Bret, Compt. Rend, 260, 6323 (1965).

F. J. McClung, W. G. Wagner, and D. Weiner, Phys. Rev. Letters 15, 96 (1965).

P. A. M. Dirac, Principles of Quantum Mechanics (Oxford University Press, New York, 1958) 4th ed.

Since the spectrometer and the standard lamp are calibrated in terms of wavelength, the appropriate parameters are measured in terms of per unit wavelength, and the final result is then converted in terms of per unit wavenumber.

Value of the refractive index for benzene extrapolated from data given in American Institute of Physics Handbook, (McGraw-Hill Book Company, New York, 1963), 2nd ed.

International Critical Tables (McGraw-Hill Book Company, New York, 1930).

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