Exact analytical expressions for the potential of electrical double layer interactions for a sphere-plate system.

Journal Article (Journal Article)

Exact, closed-form analytical expressions are presented for evaluating the potential energy of electrical double layer (EDL) interactions between a sphere and an infinite flat plate for three different types of interactions: constant potential, constant charge, and an intermediate case as given by the linear superposition approximation (LSA). By taking advantage of the simpler sphere-plate geometry, simplifying assumptions used in the original Derjaguin approximation (DA) for sphere-sphere interaction are avoided, yielding expressions that are more accurate and applicable over the full range of κa. These analytical expressions are significant improvements over the existing equations in the literature that are valid only for large κa because the new equations facilitate the modeling of EDL interactions between nanoscale particles and surfaces over a wide range of ionic strength.

Full Text

Duke Authors

Cited Authors

  • Lin, S; Wiesner, MR

Published Date

  • November 2010

Published In

Volume / Issue

  • 26 / 22

Start / End Page

  • 16638 - 16641

PubMed ID

  • 20886833

Electronic International Standard Serial Number (EISSN)

  • 1520-5827

International Standard Serial Number (ISSN)

  • 0743-7463

Digital Object Identifier (DOI)

  • 10.1021/la103046w


  • eng