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Nanoparticle Charge in Fluid from Atomic Force Microscopy Forces within the Nonlinear Poisson-Boltzmann Equation

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Document pages: 9 pages

Abstract: Weconsider the problem of measuring the electric charge of nanoparticles immersedin a fluid electrolyte. We develop a mathematical framework based on thesolution of the nonlinear Poisson-Boltzmann equation to obtain interactionforces between nanoparticles immersed in a fluid electrolyte and an AtomicForce Microscopy micro spherical probe. This force-separation information isshown explicitly to depend on the charge of the nanoparticle.  This method overcomes the statistical natureof extant methods and renders a charge value for an individual singlenanoparticle.

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