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Applied Optics

Applied Optics


  • Vol. 38, Iss. 19 — Jul. 1, 1999
  • pp: 4158–4163

Small-angle light scattering: instrumental design and application to particle sizing

Marcela Alexander and F. Ross Hallett  »View Author Affiliations

Applied Optics, Vol. 38, Issue 19, pp. 4158-4163 (1999)

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A small-angle integrated light-scattering (SAILS) instrument was designed with the innovative use of a diffusing plate and a charge-coupled device (CCD) camera. In contrast to previous small-angle light-scattering instruments, SAILS has few optical surfaces, allowing the direct recovery of scattering data. Although this approach bypasses the need for aberration corrections that are due to lenses, geometric corrections still apply and are described in detail. The image on the diffusing plate, when photographed by the CCD camera, yields a digitized two-dimensional array, covering the observed scattering angles from 10 to 20 deg. The size distribution of the scattering particles can be obtained by a discrete inversion of the experimentally obtained intensity versus angle-scattering curve. The mean radii obtained from this inversion of SAILS data are compared with nominal sizes given by the manufacturer, and standard errors are computed. The results indicate that SAILS is an ideal instrument for the study of particulates and, because of its fast readout time, is suitable for studying aggregation phenomena. However, because of the limited Q range of SAILS it is currently not suited for the direct determination of particle diameters smaller than approximately 300 nm.

© 1999 Optical Society of America

OCIS Codes
(080.0080) Geometric optics : Geometric optics
(110.0110) Imaging systems : Imaging systems
(290.0290) Scattering : Scattering

Original Manuscript: January 13, 1999
Published: July 1, 1999

Marcela Alexander and F. Ross Hallett, "Small-angle light scattering: instrumental design and application to particle sizing," Appl. Opt. 38, 4158-4163 (1999)

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  1. Lord Rayleigh, “On the electromagnetic theory of light,” Philos. Mag. 12, 81–101 (1881). [CrossRef]
  2. Lord Rayleigh, “Aerial plane waves of finite amplitude,” Proc. R. Soc. London Ser. A 84, 247–284 (1910). [CrossRef]
  3. Lord Rayleigh, “On the propagation of waves through a stratified medium with special reference to the question of reflection,” Proc. R. Soc. London Ser. A 86, 207–266 (1912). [CrossRef]
  4. L. Rayleigh, “On the scattering of light by a cloud of similar small particles of any shape and oriented at random,” Philos. Mag. 35, 373–381 (1918). [CrossRef]
  5. P. Debye, “Interferentz von Rontgenstrahlen und Warmebewegun,” Ann. Phys. (Leipzig) 43, 49–95 (1915).
  6. R. Gans, “Molecular light dispersion in solid isotropic bodies,” Ann. Phys. (Leipzig) 77, 317–324 (1925). [CrossRef]
  7. C. F. Bohren, D. R. Huffman, Adsorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
  8. H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).
  9. C. Tanford, Physical Chemistry of Macromolecules (Wiley, New York, 1961).
  10. F. R. Hallett, J. Watton, P. Krygsman, “Vesicle sizing: number distributions by dynamic light scattering,” Biophys. J. 59, 357–362 (1991). [CrossRef] [PubMed]
  11. W. Kaye, “Low angle laser light scattering,” Anal. Chem. 45, 221A–225A (1973). [CrossRef]
  12. M. S. McCracken, M. C. Sammons, “Sizing of a vesicle drug formulation by quasielastic light scattering and comparison with electron microscopy and ultracentrifugation,” J. Pharm. Sci. 76, 56–59 (1987). [CrossRef] [PubMed]
  13. A. L. Koch, “Calculation of surface area of sacculi from low angle light scattering measurements,” J. Microbiol. Methods 9, 139–150 (1989). [CrossRef]
  14. J. Holoubek, “Small angle light scattering from an anisotropic sphere: anisotropy and size effects,” J. Polym. Sci. 32, 351–357 (1994). [CrossRef]
  15. K. Kubota, N. Kuwahara, “Low angle light scattering measurement using Fourier transform lens,” Jpn. J. Appl. Phys. 31, 3740–3743 (1992). [CrossRef]
  16. W. T. Culberson, M. R. Tant, “A dynamic small angle scattering device for study of polymer crystallization kinetics,” J. Am. Chem. Soc. 31, 143–144 (1990).
  17. M. A. Coil, P. V. Farrell, “Full-field diffraction particle sizing,” Appl. Opt. 34, 7771–7785 (1995). [CrossRef] [PubMed]
  18. A. P. Y. Wong, P. Wiltzius, “Dynamic light scattering with a CCD camera,” Rev. Sci. Instrum. 64, 2547–2549 (1993). [CrossRef]
  19. M. R. Tant, W. T. Culberson, “Effect of molecular weight on spherulite growth rate of poly via real time small angle light scattering,” Polym. Eng. Sci. 33, 1152–1156 (1993). [CrossRef]
  20. W. T. Culberson, M. R. Tant, “A device for study of polymer crystallization kinetics via real time image analysis of small angle light scattering,” J. Appl. Polym. Sci. 47, 395–405 (1993). [CrossRef]
  21. A. Cumming, P. Wiltzius, F. S. Bates, J. H. Rosedale, “Light scattering experiments on phase separation dynamics in binary fluid mixtures,” Phys. Rev. A 45, 885–897 (1992). [CrossRef] [PubMed]
  22. B. Chu, Basic Principles and Practice (Academic, San Diego, Calif., 1991).
  23. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969).
  24. F. L. Pedrotti, L. S. Pedrotti, Introduction to Optics (Prentice-Hall, Englewood Cliffs, N.J., 1987).
  25. M. Born, E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light (Pergamon, Oxford, UK, 1975).
  26. K. B. Strawbridge, F. R. Hallett, “Size distribution obtained from the inversion of I(Q) using integrated light scattering spectroscopy,” Macromolecules 27, 2283–2290 (1994). [CrossRef]

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