Positron trapping and annihilation atinterfaces between matrix and cylindrical or spherical precipitates modeled by diffusion-reaction theory

Roland Würschum, Laura Resch, Gregor Klinser

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Abstract

The exact solution of a diffusion-reaction model for the trapping and annihilation of positrons at interfaces of precipitate-matrix composites is presented considering both cylindrical or spherical precipitates. Diffusion-limitation is taken into account for interfacial trapping from the surrounding matrix as well as from the interior of the precipitate. Closed-form expressions are obtained for the mean positron lifetime and for the intensity of the positron lifetime component associated with the interface- trapped state. The model contains as special case also positron trapping at extended open-volume defects like spherical voids or hollow cylinders. This makes the model applicable to all types of cylindrical- and spherical-shaped extended defects irrespective of their size and their number density.
Original languageEnglish
Title of host publicationThe 18th International Conference on Positron Annihilation (ICPA-18)
Subtitle of host publicationAIP Conference Proceedings
Pages050010-1 - 050010-6
Number of pages6
Volume2182
DOIs
Publication statusPublished - 27 Dec 2019

Publication series

NameAIP Conference Proceedings
PublisherAmerican Institute of Physics Publising LLC
ISSN (Print)0094-243X

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Fields of Expertise

  • Advanced Materials Science

Cite this

Würschum, R., Resch, L., & Klinser, G. (2019). Positron trapping and annihilation atinterfaces between matrix and cylindrical or spherical precipitates modeled by diffusion-reaction theory. In The 18th International Conference on Positron Annihilation (ICPA-18): AIP Conference Proceedings (Vol. 2182, pp. 050010-1 - 050010-6). (AIP Conference Proceedings). https://doi.org/10.1063/1.5135853