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

Roland Würschum; Laura Resch; Gregor Klinser

doi:10.1063/1.5135853

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

Roland Würschum
, Laura Resch
, Gregor Klinser

Institute of Materials Physics (5170)

Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review

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 language	English
Title of host publication	The 18th International Conference on Positron Annihilation (ICPA-18)
Subtitle of host publication	AIP Conference Proceedings
Pages	050010-1 - 050010-6
Number of pages	6
Volume	2182
DOIs	https://doi.org/10.1063/1.5135853
Publication status	Published - 27 Dec 2019

Publication series

Name	AIP Conference Proceedings
Publisher	American Institute of Physics Publising LLC
ISSN (Print)	0094-243X

Fields of Expertise

Advanced Materials Science

Access to Document

10.1063/1.5135853Licence: Unspecified

1 Finished
1 Active

Atomic defects in metals and metals oxides
Resch, L. (Contact person), Würschum, R. (Contact person), Sprengel, W. (Project manager on research unit) & Klinser, G. (Attendee / Assistant)
1/01/12 → 31/12/26
Project: Research project
Transformation and diffusion processes in materials
Sprengel, W. (Contact person) & Würschum, R. (Contact person)
1/01/13 → 31/12/24
Project: Research area

Diffusion-reaction model for positron trapping at interfaces of spherical precipitates
Würschum, R. (Contributor), Resch, L. (Speaker) & Klinser, G. (Contributor)
23 Aug 2018
Activity: Talk or presentation › Talk at conference or symposium › Science to 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

Positron trapping and annihilation atinterfaces between matrix and cylindrical or spherical precipitates modeled by diffusion-reaction theory. / Würschum, Roland; Resch, Laura; Klinser, Gregor.
The 18th International Conference on Positron Annihilation (ICPA-18): AIP Conference Proceedings . Vol. 2182 2019. p. 050010-1 - 050010-6 (AIP Conference Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review

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, AIP Conference Proceedings, pp. 050010-1 - 050010-6. https://doi.org/10.1063/1.5135853

Würschum R, Resch L, Klinser G. 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. 2019. p. 050010-1 - 050010-6. (AIP Conference Proceedings). doi: 10.1063/1.5135853

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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.",

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N2 - 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.

AB - 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.

U2 - 10.1063/1.5135853

DO - 10.1063/1.5135853

M3 - Conference paper

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T3 - AIP Conference Proceedings

SP - 050010-1 - 050010-6

BT - The 18th International Conference on Positron Annihilation (ICPA-18)

ER -

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

Abstract

Publication series

Fields of Expertise

Access to Document

Projects

Atomic defects in metals and metals oxides

Transformation and diffusion processes in materials

Activities

Diffusion-reaction model for positron trapping at interfaces of spherical precipitates

Cite this