Interpretation of light scattering and turbidity measurements in aggregated systems: effect of intra-cluster multiple-light scattering

Miroslav Soos, Marco Lattuada, Jan Sefcik

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

In this work we studied the effect of intracluster multiple-light scattering on the scattering properties of a population of fractal aggregates. To do so, experimental data of diffusion-limited aggregation for three polystyrene latexes with similar surface properties but different primary particle diameters (equal to 118, 420, and 810 nm) were obtained by static light scattering, and by means of a spectrophotometer. In parallel, a population balance equation (PBE) model, which takes into account the effect of intracluster multiple-light scattering by solving the T-matrix and the mean-field version of T-matrix, was formulated and validated against time evolution of the root mean radius of gyration, <R-g>, of the zero angle intensity of scattered light, I(0), and of the turbidity, tau. It was found that the mean-field version of the T-matrix theory is able to correctly predict the time evolution of all measured light scattering quantities for all sizes of primary particles without any adjustable parameter. The Structure of the aggregates, characterized by fractal dimension, d(f), was independent of the primary particle size and equal to 1.7, which is in agreement with values found in literature. Since the mean-field version of the T-matrix theory used is rather complicated and requires advanced knowledge of cluster structure (i.e., the particle-particle correlation function), a simplified version of the light scattering model was proposed and tested. It was found that within the range of operating conditions investigated, the simplified version of the light scattering model was able to describe with reasonable accuracy the time evolution of all measured light scattering quantities of the Cluster Mass Distribution (CMD) for all three sizes of primary particles and two values of the laser wavelength.
LanguageEnglish
Pages14962-14970
Number of pages8
JournalJournal of Physical Chemistry B
Volume113
Issue number45
DOIs
Publication statusPublished - 12 Nov 2009

Fingerprint

Multiple scattering
turbidity
Turbidity
Light scattering
light scattering
matrix theory
fractals
Spectrophotometers
gyration
Fractal dimension
spectrophotometers
matrices
latex
Latexes
mass distribution
Fractals
surface properties
Particles (particulate matter)
Surface properties
Polystyrenes

Keywords

  • light scattering
  • turbidity measurements
  • aggregated systems

Cite this

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abstract = "In this work we studied the effect of intracluster multiple-light scattering on the scattering properties of a population of fractal aggregates. To do so, experimental data of diffusion-limited aggregation for three polystyrene latexes with similar surface properties but different primary particle diameters (equal to 118, 420, and 810 nm) were obtained by static light scattering, and by means of a spectrophotometer. In parallel, a population balance equation (PBE) model, which takes into account the effect of intracluster multiple-light scattering by solving the T-matrix and the mean-field version of T-matrix, was formulated and validated against time evolution of the root mean radius of gyration, <R-g>, of the zero angle intensity of scattered light, I(0), and of the turbidity, tau. It was found that the mean-field version of the T-matrix theory is able to correctly predict the time evolution of all measured light scattering quantities for all sizes of primary particles without any adjustable parameter. The Structure of the aggregates, characterized by fractal dimension, d(f), was independent of the primary particle size and equal to 1.7, which is in agreement with values found in literature. Since the mean-field version of the T-matrix theory used is rather complicated and requires advanced knowledge of cluster structure (i.e., the particle-particle correlation function), a simplified version of the light scattering model was proposed and tested. It was found that within the range of operating conditions investigated, the simplified version of the light scattering model was able to describe with reasonable accuracy the time evolution of all measured light scattering quantities of the Cluster Mass Distribution (CMD) for all three sizes of primary particles and two values of the laser wavelength.",
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Interpretation of light scattering and turbidity measurements in aggregated systems: effect of intra-cluster multiple-light scattering. / Soos, Miroslav; Lattuada, Marco; Sefcik, Jan.

In: Journal of Physical Chemistry B, Vol. 113, No. 45, 12.11.2009, p. 14962-14970.

Research output: Contribution to journalArticle

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AU - Soos, Miroslav

AU - Lattuada, Marco

AU - Sefcik, Jan

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KW - light scattering

KW - turbidity measurements

KW - aggregated systems

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JF - Journal of Physical Chemistry B

SN - 1520-6106

IS - 45

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