Potential of a sphere in an ionic solution in thin double layer approximations

W. C. Chew, P. N. Sen

Research output: Contribution to journalArticlepeer-review


The three-dimensional problem of a charged spherical particle immersed in an ionic solution is solved asymptotically. The small parameter used is δ/a, where δ is the Debye screening distance and a the radius of the particle. The solutions to the Poisson-Boltzmann equation are obtained inside the double layer and outside the double layer. They are matched together asymptotically to obtain a solution whose error is of order δ2/ a2 smaller than the expression kept. A uniform solution valid in all the regions is also obtained. Comparison with numerical solution to the problem, which is usually tedious, shows excellent agreement.

Original languageEnglish (US)
Pages (from-to)2042-2044
Number of pages3
JournalThe Journal of Chemical Physics
Issue number4
StatePublished - 1982

ASJC Scopus subject areas

  • General Physics and Astronomy
  • Physical and Theoretical Chemistry


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