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has been cited by the following article:

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

  AUTHORS: Fredy R. Zypman

  KEYWORDS: Nonlinear Differential Equations, Poisson-Boltzmann equation, Atomic Force Microscopy, Colloidal Interaction, Debye Length

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.6, June 28, 2018

  ABSTRACT: We consider the problem of measuring the electric charge of nanoparticles immersed in a fluid electrolyte. We develop a mathematical framework based on the solution of the nonlinear Poisson-Boltzmann equation to obtain interaction forces between nanoparticles immersed in a fluid electrolyte and an Atomic Force Microscopy micro spherical probe. This force-separation information is shown explicitly to depend on the charge of the nanoparticle. This method overcomes the statistical nature of extant methods and renders a charge value for an individual single nanoparticle.