Particle sizing by dynamic light scattering: non-linear cumulant analysis

Journal of Physics. Condensed Matter : an Institute of Physics Journal
Alastair G MailerPeter N Pusey

Abstract

We revisit the method of cumulants for analysing dynamic light scattering data in particle sizing applications. Here the data, in the form of the time correlation function of scattered light, is written as a series involving the first few cumulants (or moments) of the distribution of particle diffusion constants. Frisken (2001 Appl. Opt. 40 4087) has pointed out that, despite greater computational complexity, a non-linear, iterative, analysis of the data has advantages over the linear least-squares analysis used originally. In order to explore further the potential and limitations of cumulant methods we analyse, by both linear and non-linear methods, computer-generated data with realistic 'noise', where the parameters of the distribution can be set explicitly. We find that, with modern computers, non-linear analysis is straightforward and robust. The mean and variance of the distribution of diffusion constants can be obtained quite accurately for distributions of width (standard deviation/mean) up to about 0.6, but there appears to be little prospect of obtaining meaningful higher moments.

Citations

Feb 5, 2016·Analytical Chemistry·Valentin RogerLuca Cipelletti
Apr 20, 2016·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Fabio GiavazziRoberto Cerbino
Jun 3, 2017·The Journal of Chemical Physics·Denis BotinThomas Palberg
Jan 18, 2018·Physical Review Letters·D HeckendorfM Laurati
Jan 3, 2020·The Journal of Chemical Physics·Wei MaDražen Zanchi
Mar 27, 2021·Langmuir : the ACS Journal of Surfaces and Colloids·Fatima El HajjNicolas Taulier
Mar 4, 2019·Journal of Colloid and Interface Science·Kiran JathavedanPriti S Mohanty
May 4, 2021·Journal of Extracellular Vesicles·Giorgia AdamoAntonella Bongiovanni
Jun 3, 2021·Materials·Samuele RaccostaMauro Manno

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