## Experimental Test of the Rayleigh–Debye–Gans Theory for Light Scattering by Fractal Aggregates

Applied Optics, Vol. 41, Issue 22, pp. 4645-4651 (2002)

http://dx.doi.org/10.1364/AO.41.004645

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### Abstract

Calibrated measurements of optical (λ = 488-nm) scattering cross sections, in the form of Rayleigh ratios, are presented for two fractal aggregate aerosols. The aggregates have radii of gyration of approximately 280 nm, fractal dimensions of approximately 1.75, and monomer sizes of approximately 20 nm with approximately 150 monomers per cluster. One aerosol was composed of vitreous SiO<sub>2</sub> with a refractive index of 1.46, the other of anatase TiO<sub>2</sub> with a refractive index of 2.61. We found good agreement with the Rayleigh-Debye-Gans prediction for the scattering cross section of fractal aggregates.

© 2002 Optical Society of America

**OCIS Codes**

(120.5820) Instrumentation, measurement, and metrology : Scattering measurements

(290.0290) Scattering : Scattering

(290.5870) Scattering : Scattering, Rayleigh

**Citation**

Genmiao Wang and Christopher M. Sorensen, "Experimental Test of the Rayleigh–Debye–Gans Theory for Light Scattering by Fractal Aggregates," Appl. Opt. **41**, 4645-4651 (2002)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-41-22-4645

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### References

- S. R. Forrest and T. A. Witten, Jr., “Long-range correlations in smoke-particle aggregates,” J. Phys. A 12, L109–L117 (1979).
- R. Jullien and R. Botet, Aggregation and Fractal Aggregates (World Scientific, Singapore, 1987).
- C. M. Sorensen, “Light scattering by fractal aggregates. A review,” Aerosol Sci. Technol. 35, 648–687 (2001).
- D. W. Schaefer, J. E. Martin, P. Wiltzius, and D. S. Cannell, “Fractal geometry of colloidal aggregates,” Phys. Rev. Lett. 52, 2371–2374 (1984).
- J. E. Martin, D. W. Schaefer, and A. J. Hurd, “Fractal geometry of vapor-phase aggregates,” Phys. Rev. A 33, 3540–3543 (1986).
- J. Teixeira, “Experimental methods for studying fractal aggregates,” in On Growth and Form, Fractal and Non-Fractal Patterns in Physics, H. E. Stanley and N. Ostrowski, eds. (Nijhoff, Dordrecht, The Netherlands, 1986) pp. 145–165.
- J. E. Martin and A. J. Hurd, “Scattering from fractals,” J. Appl. Crystallogr. 20, 61–78 (1987).
- T. Freltoft, J. K. Kjems, and S. K. Sinha, “Power-law correlations and finite-size effects in silica particle aggregates studied by small-angle neutron scattering,” Phys. Rev. B 33, 269–272 (1986).
- M. V. Berry and I. C. Percival, “Optics of fractal clusters such as smoke,” Opt. Acta 33, 577–591 (1986).
- U. O. Köylü and G. M. Faeth, “Optical properties of overfire soot in buoyant turbulent diffusion flames at long residence times,” J. Heat Transfer 116, 152–159 (1994).
- M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969).
- H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).
- J. Nelson, “Test of mean field theory for the optics of fractal clusters,” J. Mod. Opt. 36, 1031–1057 (1989).
- J. Frey, J. J. Pinvidic, R. Botet, and R. Jullien, “Light scattering by fractal aggregates: a numerical investigation,” J. Phys. (Paris) 49, 1969–1976 (1988).
- M. F. Iskander, H. Y. Chen, and J. E. Penner, “Optical scattering and absorption by branched chains of aerosols,” Appl. Opt. 28, 3083–3091 (1989).
- A. R. Jones, “Electromagnetic wave scattering by assemblies of particles in the Rayleigh approximation,” Proc. R. Soc. London Ser. A 366, 111–127 (1979).
- J. C. Ku, “Correction for the extinction efficiency factors given in the Jones solution for electromagnetic scattering by agglomerates of small spheres,” J. Phys. D 24, 71–75 (1991).
- J. C. Ku and K.-H. Shim, “A comparison of solutions for light scattering and absorption by agglomerated or arbitrarily-shaped particles,” J. Quant. Spectrosc. Radiat. Transfer 47, 201–220 (1992).
- W. Lou and T. T. Charalampopoulos, “On the electromagnetic scattering and absorption of agglomerated small spherical particles,” J. Phys. D 27, 2258–2270 (1994).
- D. W. Mackowski, “Calculation of total cross sections of multiple-sphere clusters,” J. Opt. Soc. Am. A 11, 2851–2861 (1994).
- D. W. Mackowski, “Electrostatic analysis of radiative absorption by sphere clusters in the Rayleigh limit: application to soot clusters,” Appl. Opt. 34, 3535–3545 (1995).
- R. D. Mountain and G. W. Mulholland, “Light scattering from simulated smoke agglomerates,” Langmuir 4, 1321–1326 (1988).
- G. W. Mulholland, C. F. Bohren, and K. A. Fuller, “Light scattering by agglomerates: coupled electric and magnetic dipole method,” Langmuir 10, 2533–2546 (1994).
- J. Mullins and A. Williams, “The optical properties of soot: a comparison between experimental and theoretical values,” Fuel 66, 277–284 (1987).
- S. B. Singham and C. F. Bohren, “Scattering of unpolarized and polarized light by particle aggregates of different size and fractal dimension,” Langmuir 9, 1431–1435 (1993).
- T. L. Farias, U. O. Koylu, and M. G. Carvalho, “Range of validity of the Rayleigh-Debye-Gans theory for optics of fractal aggregates,” Appl. Opt. 35, 6560–6567 (1996).
- J. Cai, N. Lu, and C. M. Sorensen, “Comparison of size and morphology of soot aggregates as determined by light scattering and electron microscope analysis,” Langmuir 9, 2861–2867 (1993).
- U. O. Köylü, Y. Xing, and D. E. Rosner, “Fractal morphology analysis of combustion-generated aggregates using angular light scattering and electron microscope images,” Langmuir 11, 4848–4854 (1995).
- C. M. Sorensen, “Scattering and absorption of light by particles and aggregates,” in Handbook of Surface and Colloid Chemistry, K. S. Birdi, ed. (CRC Press, Boca Raton, Fla., 1997), pp. 533–558.
- K. Okuyama, R. Ushio, Y. Kousaka, R. C. Flagan, and J. H. Seinfeld, “Particle generation in a chemical vapor deposition process and seed particles,” AIChE J. 36, 409–422 (1990).
- R. C. Weast, ed., Handbook of Chemistry and Physics (CRC Press, Cleveland, Ohio, 1976), Vol. 51.
- E. Moreels, W. De Ceuninck, and R. Finsy, “Measurements of the Rayleigh ratio of some pure liquids at several laser light wavelengths,” J. Chem. Phys. 86, 618–623 (1987).
- D. J. Coumou, E. L. Mackor, and J. Hijmans, “Isotropic light-scattering in pure liquids,” Trans. Faraday Soc. 60, 1539–1547 (1964).
- B. J. Olivier, C. M. Sorensen, and T. W. Taylor, “Scaling dynamics of aerosol coagulation,” Phys. Rev. A 45, 5614–5622 (1992).
- C. M. Sorensen and G. M. Wang, “Size distribution effect on the power law regime of the structure factor of fractal aggregates,” Phys. Rev. E 60, 7143–7148 (1999).
- J. Cai, N. Lu, and C. M. Sorensen, “Analysis of fractal cluster morphology parameters: structural coefficient and density autocorrelation function cutoff,” J. Colloid Interface Sci. 171, 470–473 (1995).
- C. M. Sorensen and G. C. Roberts, “The prefactor of fractal aggregates,” J. Colloid Interface Sci. 186, 447–452 (1997).
- C. Oh and C. M. Sorensen, “The effect of monomer overlap on the morphology of fractal aggregates,” J. Colloid Interface Sci. 193, 17–25 (1997).

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