2016
DOI: 10.1063/1.4967401
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Measured electrical charge of SiO2 in polar and nonpolar media

Abstract: We present measurements of the net electrical surface charge of silicon dioxide (SiO2) in contact with solvents of dielectric constants between 5 and 80. Our experimental approach relies on observing the thermal motion of single silica particles confined in an electrostatic fluidic trap created by SiO2 surfaces. We compare the experimentally measured functional form of the trapping potential with that from free energy calculations and thereby determine the net surface charge in the system. Our findings clearly… Show more

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Cited by 22 publications
(16 citation statements)
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“…Due to the lack of standard reference materials, the validation of our experimental data was performed by comparing the reported electrokinetic properties of silica and PMMA particles in organic solvents (Table 2) . Similar to what has been noted in some reports, the charge density is significantly lower in non-aqueous solvents with lower permittivity by as much as 100 times, as ionic substances do not easily dissociate 27,30) . Behrens and Grier reported 1.58-µm silica particles have a surface charge density in the range of −550 to −830 e/µm 2 in water 31) .…”
Section: Electrophoretic Mobility Measurementsupporting
confidence: 89%
“…Due to the lack of standard reference materials, the validation of our experimental data was performed by comparing the reported electrokinetic properties of silica and PMMA particles in organic solvents (Table 2) . Similar to what has been noted in some reports, the charge density is significantly lower in non-aqueous solvents with lower permittivity by as much as 100 times, as ionic substances do not easily dissociate 27,30) . Behrens and Grier reported 1.58-µm silica particles have a surface charge density in the range of −550 to −830 e/µm 2 in water 31) .…”
Section: Electrophoretic Mobility Measurementsupporting
confidence: 89%
“…Consequently, the brush attains the charge by ionization of a weakly acidic group HA, which ionizes as so that Here c i ( i = HA, A – , H + ) is the concentration in moles per liter at the location of the end charge (i.e., y = y e ) and K a is the ionization constant in moles per liter. Consequently, i.e., the concentrations are expressed as number densities (having units of 1/m 3 ) and K a ′ = N A 10 3 K a has a unit of 1/m 3 ( N A is the Avogadro number). Following the large volumes of literature relating the charge density (σ ch ) of an ionizable surface to the concentration of species in the reaction that produces this surface charging, we can express where Γ 0 is the total surface site density of the end charges, and Γ HA and Γ A – are the corresponding values associated with HA and A – (see Behrens and Grier for details). For the present case, we are interested to obtain the pH-dependent charge density: therefore we would need σ A – , i.e., Of course, following Behrens and Grier (kindly see eq in Behrens and Grier and note that the condition expressed in eq below allows one to obtain eq in Behrens and Grier), the site density corresponding to the individual species can be related to their corresponding concentrations (or number densities) as Using eq , we can reduce eq to which is identical to eq in Behrens and Grier. Therefore, using eqs , , and , we can obtain where n H + is the hydrogen ion number density at the location of the end charge, i.e., n H + = n H + ( y e ).…”
mentioning
confidence: 99%
“…It is widely assumed that the only reliable path for the characterization of the EDL is the so-called zeta potential (ζ) defined as the potential difference between the slipping plane and a point in the bulk fluid (with net charge zero) away from the NP. Zeta potential of a NP is, indeed, an indicative of its net charge (|σ|), as the latter is given by where e is the electron’s charge, κ is the characteristic Debye length, and sinh is the hyperbolic sine function. E r is a reference energy that represents the minimum electrostatic energy that leads to the stable formation of the EDL.…”
Section: Resultsmentioning
confidence: 99%