Abstract

We compute—in the long-wavelength limit—the intensity of light scattered by resonantly absorbing molecules in solution. An expression is obtained that connects the scattered intensity with the absorption of the molecule. This result reflects the resonant behavior in scattered intensity by diphenylpolyenes. For further confirmation more experimental data are needed; in particular, measurement of light scattering in the spectral region of an absorption line. A possible experimental design is suggested for such measurements.

© 1980 Optical Society of America

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  1. P. Alexander and K. A. Stacey, "The colloidal behaviour of dyes," Proc. R. Soc. London Ser. A 212, 274–290 (1952).
  2. p. Putzeys and E. Dory, "Sur le calcul de la correction d'absorption dans les mésures de la diffusion moléculaire de la lumière," Ann. Soc. Sci. Bruxelles, Ser. 1 60, 37–44 (1940).
  3. G. A. Miller, "A fluctuation theory of the resonance enhancement of Rayleigh scattering in absorbing media," J. Phys. Chem. 82, 616–618 (1978).
  4. L. D. Landau and E. M. Lifshitz, The Electrodynamics of Continuous Media (Pergamon, Oxford, 1963).
  5. H. A. Kramers, "La diffusion de la lumière par les atomes," Atti. Congr. Int. Fis. Como 2, 545–557 (1927); and H. A. Kramers, "Die Dispersion und die Beziehung zur Absorption von Röntgenstrahlen," Z. Phys. 30, 522–523 (1929).
  6. W. Heitler, The Quantum Theory of Radiation, 3rd ed. (Clarendon, Oxford, 1954).
  7. D. R. Bauer, B. Hudson, and R. Pecora, "Resonance enhanced depolarized Rayleigh scattering from diphenylpolyenes," J. Chem. Phys. 63, 588–589 (1975).
  8. K. W. Hausser, R. Kuhn, and A. Smakula, "Lichtabsorption und Doppelbindung. IV. Diphenylpolyene," Z. Phys. Chem. B 29, 384–389 (1935).
  9. I. L. Fabelinskii, "Certain problems of molecular scattering of light in liquids," Adv. Phys. Sci. 63, 474–551 (1957).
  10. J. P. Kratohvil, M. Kerker, and L. E. Oppenheimer, "Light scattering by pure water," J. Chem. Phys. 43, 914–921 (1957).
  11. N. H. Nie, C. H. Hull, J. G. Jenkins, K. Steinbrenner, and D. H. Bent, SPSS-Statistical Package for the Social Sciences, 2nd ed. (McGraw-Hill, New York, 1975); B. Robinson, SPSS Subprogram NONLINEAR—Nonlinear Regression, Manual No. 433, North-western University, Vogelbach Computing Center, Evanston, Illinois, 1977 (unpublished).

1978 (1)

G. A. Miller, "A fluctuation theory of the resonance enhancement of Rayleigh scattering in absorbing media," J. Phys. Chem. 82, 616–618 (1978).

1975 (1)

D. R. Bauer, B. Hudson, and R. Pecora, "Resonance enhanced depolarized Rayleigh scattering from diphenylpolyenes," J. Chem. Phys. 63, 588–589 (1975).

1957 (2)

I. L. Fabelinskii, "Certain problems of molecular scattering of light in liquids," Adv. Phys. Sci. 63, 474–551 (1957).

J. P. Kratohvil, M. Kerker, and L. E. Oppenheimer, "Light scattering by pure water," J. Chem. Phys. 43, 914–921 (1957).

1952 (1)

P. Alexander and K. A. Stacey, "The colloidal behaviour of dyes," Proc. R. Soc. London Ser. A 212, 274–290 (1952).

1940 (1)

p. Putzeys and E. Dory, "Sur le calcul de la correction d'absorption dans les mésures de la diffusion moléculaire de la lumière," Ann. Soc. Sci. Bruxelles, Ser. 1 60, 37–44 (1940).

1935 (1)

K. W. Hausser, R. Kuhn, and A. Smakula, "Lichtabsorption und Doppelbindung. IV. Diphenylpolyene," Z. Phys. Chem. B 29, 384–389 (1935).

1927 (1)

H. A. Kramers, "La diffusion de la lumière par les atomes," Atti. Congr. Int. Fis. Como 2, 545–557 (1927); and H. A. Kramers, "Die Dispersion und die Beziehung zur Absorption von Röntgenstrahlen," Z. Phys. 30, 522–523 (1929).

Alexander, P.

P. Alexander and K. A. Stacey, "The colloidal behaviour of dyes," Proc. R. Soc. London Ser. A 212, 274–290 (1952).

Bauer, D. R.

D. R. Bauer, B. Hudson, and R. Pecora, "Resonance enhanced depolarized Rayleigh scattering from diphenylpolyenes," J. Chem. Phys. 63, 588–589 (1975).

Bent, D. H.

N. H. Nie, C. H. Hull, J. G. Jenkins, K. Steinbrenner, and D. H. Bent, SPSS-Statistical Package for the Social Sciences, 2nd ed. (McGraw-Hill, New York, 1975); B. Robinson, SPSS Subprogram NONLINEAR—Nonlinear Regression, Manual No. 433, North-western University, Vogelbach Computing Center, Evanston, Illinois, 1977 (unpublished).

Dory, E.

p. Putzeys and E. Dory, "Sur le calcul de la correction d'absorption dans les mésures de la diffusion moléculaire de la lumière," Ann. Soc. Sci. Bruxelles, Ser. 1 60, 37–44 (1940).

Fabelinskii, I. L.

I. L. Fabelinskii, "Certain problems of molecular scattering of light in liquids," Adv. Phys. Sci. 63, 474–551 (1957).

Hausser, K. W.

K. W. Hausser, R. Kuhn, and A. Smakula, "Lichtabsorption und Doppelbindung. IV. Diphenylpolyene," Z. Phys. Chem. B 29, 384–389 (1935).

Heitler, W.

W. Heitler, The Quantum Theory of Radiation, 3rd ed. (Clarendon, Oxford, 1954).

Hudson, B.

D. R. Bauer, B. Hudson, and R. Pecora, "Resonance enhanced depolarized Rayleigh scattering from diphenylpolyenes," J. Chem. Phys. 63, 588–589 (1975).

Hull, C. H.

N. H. Nie, C. H. Hull, J. G. Jenkins, K. Steinbrenner, and D. H. Bent, SPSS-Statistical Package for the Social Sciences, 2nd ed. (McGraw-Hill, New York, 1975); B. Robinson, SPSS Subprogram NONLINEAR—Nonlinear Regression, Manual No. 433, North-western University, Vogelbach Computing Center, Evanston, Illinois, 1977 (unpublished).

Jenkins, J. G.

N. H. Nie, C. H. Hull, J. G. Jenkins, K. Steinbrenner, and D. H. Bent, SPSS-Statistical Package for the Social Sciences, 2nd ed. (McGraw-Hill, New York, 1975); B. Robinson, SPSS Subprogram NONLINEAR—Nonlinear Regression, Manual No. 433, North-western University, Vogelbach Computing Center, Evanston, Illinois, 1977 (unpublished).

Kerker, M.

J. P. Kratohvil, M. Kerker, and L. E. Oppenheimer, "Light scattering by pure water," J. Chem. Phys. 43, 914–921 (1957).

Kramers, H. A.

H. A. Kramers, "La diffusion de la lumière par les atomes," Atti. Congr. Int. Fis. Como 2, 545–557 (1927); and H. A. Kramers, "Die Dispersion und die Beziehung zur Absorption von Röntgenstrahlen," Z. Phys. 30, 522–523 (1929).

Kratohvil, J. P.

J. P. Kratohvil, M. Kerker, and L. E. Oppenheimer, "Light scattering by pure water," J. Chem. Phys. 43, 914–921 (1957).

Kuhn, R.

K. W. Hausser, R. Kuhn, and A. Smakula, "Lichtabsorption und Doppelbindung. IV. Diphenylpolyene," Z. Phys. Chem. B 29, 384–389 (1935).

Landau, L. D.

L. D. Landau and E. M. Lifshitz, The Electrodynamics of Continuous Media (Pergamon, Oxford, 1963).

Lifshitz, E. M.

L. D. Landau and E. M. Lifshitz, The Electrodynamics of Continuous Media (Pergamon, Oxford, 1963).

Miller, G. A.

G. A. Miller, "A fluctuation theory of the resonance enhancement of Rayleigh scattering in absorbing media," J. Phys. Chem. 82, 616–618 (1978).

Nie, N. H.

N. H. Nie, C. H. Hull, J. G. Jenkins, K. Steinbrenner, and D. H. Bent, SPSS-Statistical Package for the Social Sciences, 2nd ed. (McGraw-Hill, New York, 1975); B. Robinson, SPSS Subprogram NONLINEAR—Nonlinear Regression, Manual No. 433, North-western University, Vogelbach Computing Center, Evanston, Illinois, 1977 (unpublished).

Oppenheimer, L. E.

J. P. Kratohvil, M. Kerker, and L. E. Oppenheimer, "Light scattering by pure water," J. Chem. Phys. 43, 914–921 (1957).

Pecora, R.

D. R. Bauer, B. Hudson, and R. Pecora, "Resonance enhanced depolarized Rayleigh scattering from diphenylpolyenes," J. Chem. Phys. 63, 588–589 (1975).

Putzeys, p.

p. Putzeys and E. Dory, "Sur le calcul de la correction d'absorption dans les mésures de la diffusion moléculaire de la lumière," Ann. Soc. Sci. Bruxelles, Ser. 1 60, 37–44 (1940).

Smakula, A.

K. W. Hausser, R. Kuhn, and A. Smakula, "Lichtabsorption und Doppelbindung. IV. Diphenylpolyene," Z. Phys. Chem. B 29, 384–389 (1935).

Stacey, K. A.

P. Alexander and K. A. Stacey, "The colloidal behaviour of dyes," Proc. R. Soc. London Ser. A 212, 274–290 (1952).

Steinbrenner, K.

N. H. Nie, C. H. Hull, J. G. Jenkins, K. Steinbrenner, and D. H. Bent, SPSS-Statistical Package for the Social Sciences, 2nd ed. (McGraw-Hill, New York, 1975); B. Robinson, SPSS Subprogram NONLINEAR—Nonlinear Regression, Manual No. 433, North-western University, Vogelbach Computing Center, Evanston, Illinois, 1977 (unpublished).

Adv. Phys. Sci. (1)

I. L. Fabelinskii, "Certain problems of molecular scattering of light in liquids," Adv. Phys. Sci. 63, 474–551 (1957).

Atti. Congr. Int. Fis. Como (1)

H. A. Kramers, "La diffusion de la lumière par les atomes," Atti. Congr. Int. Fis. Como 2, 545–557 (1927); and H. A. Kramers, "Die Dispersion und die Beziehung zur Absorption von Röntgenstrahlen," Z. Phys. 30, 522–523 (1929).

J. Chem. Phys. (2)

D. R. Bauer, B. Hudson, and R. Pecora, "Resonance enhanced depolarized Rayleigh scattering from diphenylpolyenes," J. Chem. Phys. 63, 588–589 (1975).

J. P. Kratohvil, M. Kerker, and L. E. Oppenheimer, "Light scattering by pure water," J. Chem. Phys. 43, 914–921 (1957).

J. Phys. Chem. (1)

G. A. Miller, "A fluctuation theory of the resonance enhancement of Rayleigh scattering in absorbing media," J. Phys. Chem. 82, 616–618 (1978).

Proc. R. Soc. London Ser.A (1)

P. Alexander and K. A. Stacey, "The colloidal behaviour of dyes," Proc. R. Soc. London Ser. A 212, 274–290 (1952).

Ser. 1 (1)

p. Putzeys and E. Dory, "Sur le calcul de la correction d'absorption dans les mésures de la diffusion moléculaire de la lumière," Ann. Soc. Sci. Bruxelles, Ser. 1 60, 37–44 (1940).

Z. Phys. Chem. B (1)

K. W. Hausser, R. Kuhn, and A. Smakula, "Lichtabsorption und Doppelbindung. IV. Diphenylpolyene," Z. Phys. Chem. B 29, 384–389 (1935).

Other (3)

W. Heitler, The Quantum Theory of Radiation, 3rd ed. (Clarendon, Oxford, 1954).

L. D. Landau and E. M. Lifshitz, The Electrodynamics of Continuous Media (Pergamon, Oxford, 1963).

N. H. Nie, C. H. Hull, J. G. Jenkins, K. Steinbrenner, and D. H. Bent, SPSS-Statistical Package for the Social Sciences, 2nd ed. (McGraw-Hill, New York, 1975); B. Robinson, SPSS Subprogram NONLINEAR—Nonlinear Regression, Manual No. 433, North-western University, Vogelbach Computing Center, Evanston, Illinois, 1977 (unpublished).

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