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A General Geometric Representation of Sphere-Sphere Interactions

  • Ho Kei Chan*
  • , Eric B. Lindgren
  • , Anthony J. Stace
  • , Elena Bichoutskaia
  • *Corresponding author for this work
  • University of Nottingham

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

A general geometric representation of sphere-sphere interactions is derived using the bispherical coordinate system. It presents a dimensionless, scaled surface-to-surface separation parameter s, which is valid for all possible combinations of sphere size and separation distance. The proposed geometric description is not limited to sphere-sphere interactions, but also describes interactions that involve a point particle or a plane. The surface-to-surface separation parameter approaches the limit of s= 1 if the radii of both spheres are much smaller than the actual surface-to-surface separation distance s, i.e. in the limit of two point particles. On the other hand, the geometric limit of s= 0 corresponds to two planes, namely when the radii of both spheres are much larger than s.

Original languageEnglish
Title of host publicationProgress in Theoretical Chemistry and Physics
PublisherSpringer Nature
Pages29-36
Number of pages8
DOIs
StatePublished - 2015
Externally publishedYes

Publication series

NameProgress in Theoretical Chemistry and Physics
Volume29
ISSN (Print)1567-7354
ISSN (Electronic)2215-0129

Keywords

  • Bispherical coordinates
  • Geometric description
  • Inverse points
  • Sphere-sphere interactions
  • Surface-to-surface separation

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