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Analyzing Total Interaction Force in Double Layers with Poisson-Boltzmann Equations

This paper explores the total interaction force versus separation in double layers, utilizing the Poisson-Boltzmann (PB) equation and its linearized approximation. The analysis further incorporates the Derjaguin approximation and the weak overlap approximation, especially in scenarios where the diffuse double layer is significantly smaller than the distance between charged objects (κ << D). The example provided illustrates this concept within the context of interactions between Na+ and Cl- ions at a specified distances, contributing to a deeper understanding of electrostatic interactions in colloidal systems.

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Analyzing Total Interaction Force in Double Layers with Poisson-Boltzmann Equations

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Presentation Transcript

  1. Example of an total interaction force vs. separation

  2. Double Layer (DL) equations • PB-equation Poisson-Boltzmann • Linearized approximation • Derjaguin approximation

  3. continue • Weak overlap approximation, when the diffuse double layer is smaller than the distance between the objects (κ << D)

  4. Your example deals with a situation like this Na+ Cl- 0.5 nm Cl- Cl- Na+ 50 nm Na+

  5. Starting page

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