Monitoring aggregation kinetics of colloidal systems by light scattering methods

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Abstract

The possibility of implementing an original methodology for studying the kinetics of aggregation of colloidal solutions based on the joint application of dynamic and static light scattering methods is discussed. The theoretical justification of the proposed methodology is based on the concept of fractal dimension and scaling. Its experimental implementation is carried out using the example of the aggregation process of a colloidal gold solution initiated by a change in the ionic strength of the solution. The fractal dimension of Au clusters is determined by the angular and kinetic dependences of static light scattering (SLS). The hydrodynamic radii of clusters are determined by the dynamic light scattering (DLS) method. Based on the experimental results and the formed model dependence of the light scattering intensity on the size of clusters, the kinetic dependence of the concentration of Au clusters is constructed and the rate of their aggregation is estimated. The proposed method can be applied to study the kinetics of aggregation of fractal clusters in various colloidal systems.

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About the authors

E. K. Alidzhanov

Оренбургский государственный университет

Author for correspondence.
Email: ekaalid@yandex.ru
Russian Federation, 460018 Оренбург

S. N. Letuta

Оренбургский государственный университет

Email: ekaalid@yandex.ru
Russian Federation, 460018 Оренбург

Yu. D. Lantukh

Оренбургский государственный университет

Email: ekaalid@yandex.ru
Russian Federation, 460018 Оренбург

D. A. Razdobreev

Оренбургский государственный университет

Email: ekaalid@yandex.ru
Russian Federation, 460018 Оренбург

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Supplementary files

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2. Fig. 1. Diagram illustrating the scattering of light by a scattering center in the direction of the detector with a wave vector ks at an angle Θ. The primary light wave with a wave vector propagates from the left. Scattering wave vector (n is the refractive index of the medium).

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3. Fig. 2. 1 – histogram of the distribution of GNPs by radii in the initial solution (‹R›=17 nm); 2 – histogram of the distribution of colloidal gold clusters by hydrodynamic radii at the final stage of aggregation (‹R›=500 nm).

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4. Fig. 3. Kinetics of changes in the hydrodynamic radius of gold clusters during their aggregation after adding a coagulant to the colloidal solution.

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5. Fig. 4. Kinetics of changes in the intensity of light scattering of a colloidal gold solution after the addition of a coagulant.

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6. Fig. 5. Optical density spectra of a colloidal gold solution measured at the initial (1) and final (2) stages of aggregation. Curve (2) is shown in fivefold magnification.

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7. Fig. 6. Angular dependence of the light scattering intensity of a colloidal gold solution after its aggregation Rk≈ 500 nm. The slope tangent of the linear approximation of the graph corresponds to the fractal dimension of the clusters Df=1.6.

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8. Fig. 7. Kinetic dependence of the direct (1) and inverse (2) concentration of GNP clusters in solution during their aggregation. The slope tangents of the approximation lines (dashed lines) of the initial and final parts of the inverse kinetic dependence graph give the values ​​of the aggregation rate constants: k1=2.8 10–14 cm3 s–1, k2=1.9 10–15 cm3 s–1.

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