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

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.

• Publication year

  2018

• Venue

  Journal of Applied Mathematics and Physics

• Publication date

  2018-06-28

• Fields of study

  Physics

• Identifiers
  DOI 10.4236/JAMP.2018.66110
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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