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Szabadváry, F. (2016) History of Analytical Chemistry: International Series of Monographs in Analytical Chemistry, Volume 26. Belcher, R. and Gordon, L., Eds., International Series of Monographs in Analytical Chemistry, Elsevier, Amsterdam.

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.