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Applied Optics

Applied Optics


  • Vol. 38, Iss. 1 — Jan. 1, 1999
  • pp: 197–204

Investigation of static structure factor in dense suspensions by use of multiply scattered light

Rajesh Shinde, Ganesh Balgi, Steven Richter, Sukanta Banerjee, Jeffery Reynolds, Joseph Pierce, and Eva Sevick-Muraca  »View Author Affiliations

Applied Optics, Vol. 38, Issue 1, pp. 197-204 (1999)

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Near-infrared, frequency-domain photon migration measurements of phase shift are used to derive accurate values of isotropic scattering coefficients in concentrated, interacting suspensions of aqueous polystyrene microspheres with volume concentrations ranging from 1% to 45% by solids and mean diameters ranging from 135 to 500 nm. Under conditions of high ionic strength, the isotropic scattering coefficient can be quantitatively predicted by the Percus–Yevick model for hard-sphere interactions and Mie theory. In addition, the attractive interactions between scatterers arising from the addition of soluble poly(ethylene glycol) with molecular weights of 100 and 600 K cause hindered scattering. The increases in static structure and decreases in isotropic scattering coefficient agree with that predicted by Mie theory and the depletion interaction model developed by Asakura and Oosawa [J. Chem. Phys. 22, 1255 (1954)]. These results demonstrate the success of monitoring interaction between particles by use of multiple-scattered light and the necessity of incorporating models for these interactions when predicting scattering of dense, concentrated suspensions.

© 1999 Optical Society of America

OCIS Codes
(170.5280) Medical optics and biotechnology : Photon migration
(350.4990) Other areas of optics : Particles

Original Manuscript: April 1, 1998
Revised Manuscript: August 11, 1998
Published: January 1, 1999

Rajesh Shinde, Ganesh Balgi, Steven Richter, Sukanta Banerjee, Jeffery Reynolds, Joseph Pierce, and Eva Sevick-Muraca, "Investigation of static structure factor in dense suspensions by use of multiply scattered light," Appl. Opt. 38, 197-204 (1999)

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  1. Allen Terence, Particle Size Measurement, 5th ed. (Chapman & Hall, London, 1997).
  2. E. M. Sevick-Muraca, “A review on coupling particle size measurements for control and monitoring of particulate processes,” (International Fine Particle Research Institute, Inc., Cheshire, UK, 1997).
  3. C. F. Riebel, F. Loffler, “The fundamentals of particle size analysis by means of ultrasonic spectrometry,” Part. Part. Syst. Charact. 6, 135–143 (1989). [CrossRef]
  4. J. Coghill, M. J. Millen, B. D. Sowerby, “On-line particle size analysis using ultrasonic velocity spectrometry,” Part. Part. Syst. Charact. 14, 116–121 (1997).
  5. W. O’Brien, “Electro-acoustic effects in a dilute suspension of spherical particles,” J. Fluid Mech. 1990, 71–86 (1988). [CrossRef]
  6. W. O’Brien, “The electroacoustic equations for a colloidal suspension,” J. Fluid Mech. 212, 81–93 (1990). [CrossRef]
  7. S. M. Richter, R. R. Shinde, G. V. Balgi, E. M. Sevick-Muraca, “Particle sizing using frequency-domain photon migration,” Part. Part. Syst. Charact. 15, 9–16 (1998). [CrossRef]
  8. G. V. Balgi, E. M. Sevick-Muraca, “Characterization of particulate systems through frequency-domain measurements of photon migration,” presented at the OSA Annual Meeting, Orlando, Florida, 1998 (Optical Society of America, Washington, D.C.).
  9. G. V. Balgi, J. Pierce, J. Reynolds, R. Mayer, E. M. Sevick-Muraca, “Frequency domain photon migration,” presented at the American Institute of Chemical Engineers 1997 Annual Meeting, Los Angeles, Calif., 16–21 November 1997.
  10. R. J. Hunter, Foundations of Colloidal Science (Clarendon, Oxford, 1995), Vol. II.
  11. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969).
  12. W. Ye, T. Narayanan, P. Tong, J. S. Huang, M. Y. Lin, B. L. Carvalho, L. J. Fetters, “Depletion interactions in colloid-polymer mixtures,” Phys. Rev. E 54, 6500–6510 (1996). [CrossRef]
  13. S. Asakura, F. Oosawa, “On interaction between two bodies immersed in a solution of macromolecules,” J. Chem. Phys. 22, 1255–1256 (1954). [CrossRef]
  14. H. N. W. Lekkerkerker, W. C. K. Poon, P. N. Pusey, A. Stroobants, P. B. Warren, “Phase behavior of colloid + polymer mixtures,” Europhys. Lett. 20, 559–564 (1992). [CrossRef]
  15. J. Fishkin, T. C. Peter So, Albert E. Cerussi, S. Fantini, M. A. Franceschini, E. Gratton, “Frequency-domain method for measuring spectral properties in multiple-scattering media: methemoglobin absorption spectrum in a tissue-like phantom,” Appl. Opt. 34, 1143–1155 (1995).
  16. J. E. Pierce, “Particle sizing in concentrated suspensions using frequency domain photon migration techniques,” M.S. thesis (Purdue University, West Lafayette, Indiana, 1997).
  17. E. J. Rohm, K. D. Horner, M. Ballauff, “Interactions in mixtures of latex particles and polymers as revealed by turbidimetry,” Colloid Polym. Sci. 274, 732–740 (1996). [CrossRef]
  18. S. Banerjee, R. Shinde, E. M. Sevick-Muraca, “Depletion interactions in colloid-polymer mixtures as studied by photon migration,” J. Colloid Interface Sci. (to be published).
  19. P. M. Saulnier, M. P. Zinkin, G. H. Watson, “Scatter correlation effects on photon migration transport in dense random media,” Phys. Rev. B Rapid Commun. 42, 2621–2623 (1990). [CrossRef]
  20. S. Fraden, G. Maret, “Multiple light scattering from concentrated, interacting suspensions,” Phys. Rev. Lett. 65, 512–515 (1990). [CrossRef] [PubMed]
  21. P. D. Kaplan, A. G. Yodh, D. J. Pine, “Diffusion and structure in dense binary suspensions,” Phys. Rev. Lett. 68, 393–396 (1992). [CrossRef] [PubMed]
  22. P. D. Kaplan, A. D. Dinsmore, A. G. Yodh, D. J. Pine, “Diffuse-transmission spectroscopy: a structural probe of opaque colloidal mixtures,” Phys. Rev. E 50, 4827–4835 (1994). [CrossRef]
  23. R. Garg, R. K. Prud’homme, I. A. Aksay, F. Liu, R. R. Alfano, “Optical transmission in highly concentrated dispersion,” J. Opt. Soc. Am. A 15, 932–935 (1998). [CrossRef]
  24. E. Dickinson, “Creaming, flocculation and rheology,” presented at the American Institute of Chemical Engineers 1997 Annual Meeting, Los Angeles, Calif., 16–21 November 1997.
  25. A. Brisson, G. L.’Espèrance, M. Caron, “Use of image analysis technique to quantify pigment dispersion,” J. Coatings Tech. 63, 111–118 (1991).
  26. M. A. Brown, A. L. Smith, E. J. Staples, “A method using total internal reflection microscopy and radiation pressure to study weak interaction forces of particles near surfaces,” Langmuir 5, 1319–1324 (1989). [CrossRef]
  27. J. Israelachvilli, Intermolecular and Surface Forces (Academic, London, 1992).

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