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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 40, Iss. 24 — Aug. 20, 2001
  • pp: 4087–4091

Revisiting the method of cumulants for the analysis of dynamic light-scattering data

Barbara J. Frisken  »View Author Affiliations


Applied Optics, Vol. 40, Issue 24, pp. 4087-4091 (2001)
http://dx.doi.org/10.1364/AO.40.004087


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Abstract

The method of cumulants is a standard technique used to analyze dynamic light-scattering data measured for polydisperse samples. These data, from an intensity–intensity autocorrelation function of the scattered light, can be described in terms of a distribution of decay rates. The method of cumulants provides information about the cumulants and the moments of this distribution. However, the method does not permit independent determination of the long-time baseline of the intensity correlation function and can lead to inconsistent results when different numbers of data points are included in the fit. The method is reformulated in terms of the moments about the mean to permit more robust and satisfactory fits. The different versions of the method are compared by analysis of the data for polydisperse-vesicle samples.

© 2001 Optical Society of America

OCIS Codes
(120.5820) Instrumentation, measurement, and metrology : Scattering measurements
(290.5870) Scattering : Scattering, Rayleigh

History
Original Manuscript: December 11, 2000
Revised Manuscript: April 3, 2001
Published: August 20, 2001

Citation
Barbara J. Frisken, "Revisiting the method of cumulants for the analysis of dynamic light-scattering data," Appl. Opt. 40, 4087-4091 (2001)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-40-24-4087


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References

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  7. A. Stuart, J. K. Ord, Kendall’s Advanced Theory of Statistics (Wiley, New York, 1994), Chap. 4.
  8. P. N. Pusey, D. E. Koppel, D. W. Schaefer, R. D. Camerini-Otero, S. H. Koenig, “Intensity fluctuation spectroscopy of laser light scattered by solutions of spherical viruses,” Biochemistry 13, 952–960 (1974). [CrossRef] [PubMed]
  9. For details of extrusion methods for vesicle production as used in these experiments, please see B. J. Frisken, C. Asman, P. J. Patty, “Studies of vesicle extrusion,” Langmuir 16, 928–933 (2000), and references therein.

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