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Interaction and charge transfer between dielectric spheres: Exact and approximate analytical solutions
Stockholm University, Faculty of Science, Department of Physics.
Stockholm University, Faculty of Science, Department of Physics.
Stockholm University, Faculty of Science, Department of Physics.
Number of Authors: 3
2016 (English)In: Journal of Chemical Physics, ISSN 0021-9606, E-ISSN 1089-7690, Vol. 145, no 19, 194307Article in journal (Refereed) Published
Abstract [en]

We present exact analytical solutions for charge transfer reactions between two arbitrarily charged hard dielectric spheres. These solutions, and the corresponding exact ones for sphere-sphere interaction energies, include sums that describe polarization effects to infinite orders in the inverse of the distance between the sphere centers. In addition, we show that these exact solutions may be approximated by much simpler analytical expressions that are useful for many practical applications. This is exemplified through calculations of Langevin type cross sections for forming a compound system of two colliding spheres and through calculations of electron transfer cross sections. We find that it is important to account for dielectric properties and finite sphere sizes in such calculations, which for example may be useful for describing the evolution, growth, and dynamics of nanometer sized dielectric objects such as molecular clusters or dust grains in different environments including astrophysical ones.

Place, publisher, year, edition, pages
2016. Vol. 145, no 19, 194307
National Category
Chemical Sciences Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-137717DOI: 10.1063/1.4967701ISI: 000388956900022PubMedID: 27875888OAI: oai:DiVA.org:su-137717DiVA: diva2:1066165
Available from: 2017-01-17 Created: 2017-01-10 Last updated: 2017-01-17Bibliographically approved

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Lindén, FredrikCederquist, HenrikZettergren, Henning
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