On the calculation of electrokinetic potential in detonation nanodiamond dispersions

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Abstract

The applicability of various approximations of the theory of electrophoresis for calculating the electrokinetic potential in real nanodisperse systems was evaluated on the example of the polydispersed aqueous sol of thermooxidized detonation nanodiamond containing aggregates of nanoparticles, depending on the concentration and pH of background electrolyte solutions (NaCl). It was found that at low potentials |ζW| < 25 mV calculated for the primary particles in the framework of the Wiersema’s model, taking into account particle aggregation and aggregate porosity practically does not affect the electrokinetic potential. In the range |ζW| 25–50 mV, the most reliable values of the electrokinetic potentials of aggregates seem to be obtained using the Miller’s equation for ion-conducting particles, taking into account their real porosities providing that the potential is constant. At |ζW| > 50 mV, knowing the real size of the aggregates, assuming that they are monolithic, the Overbeek’s equation with Oshima’s analytical expressions of the functions f3(κr) and f4(κr) can be used to calculate the electrokinetic potentials.

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About the authors

L. E. Ermakova

Санкт-Петербургский государственный университет

Email: anna.volkova@spbu.ru
Russian Federation, Санкт-Петербург

N. S. Chuikov

Санкт-Петербургский государственный университет

Email: anna.volkova@spbu.ru
Russian Federation, Санкт-Петербург

A. V. Volkova

Санкт-Петербургский государственный университет

Author for correspondence.
Email: anna.volkova@spbu.ruро
Russian Federation, Санкт-Петербург

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Supplementary files

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2. Fig. 1. TEM image of primary DND nanoparticles.

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3. Fig. 2. Dependence of electrophoretic mobility and electrokinetic potential (ζ S), calculated using equation (2), on the concentration of sodium chloride solutions at natural pH.

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4. Fig. 3. Dependence of electrophoretic mobility and electrokinetic potential (ζS), calculated using equation (2), on pH against the background of 10–3 M NaCl solution.

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5. Fig. 4. Dependences of the electrokinetic potential of primary DND particles, calculated within the framework of various approximations, on the concentration of sodium chloride solutions at natural pH.

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6. Fig. 5. Dependences of the electrokinetic potential of primary DND particles, calculated within the framework of various approximations, on pH against the background of a 10–3 M NaCl solution.

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7. Fig. 6. Image of particles of the initial aqueous DND sol (a) and numerical distribution of particles by size (b) (based on the analysis of about 250 particles), obtained by SEM.

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8. Fig. 7. Dependence of the number of particles on their radius in the initial aqueous DND ash, determined by the DLS method.

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9. Fig. 8. Dependences of the electrokinetic potential of DND aggregates, calculated within the framework of the cell model, on the concentration of sodium chloride solutions at natural pH (the ζW – logC dependencies for primary nanoparticles and ζS– logC are given as the maximum and minimum possible absolute values ​​of the zeta potential, respectively).

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10. Fig. 9. Dependences of the electrokinetic potential of DND aggregates, calculated within the framework of the cell model, on pH against the background of a 10–3 M NaCl solution (the ζW – pH dependencies for primary nanoparticles and ζS – pH are given as the maximum and minimum possible absolute values ​​of the zeta potential, respectively).

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