Nanoporosity as quantum positron traps
Two-semiempirical positron stationary quantum models are developed for the study of nanoporosity in a wide range of solid porous materials. The cubic and conic well potentials are considered and their geometric parameters are related to the Positron Annihilation LifeTime Spectroscopy measurements (P...
| Autores: | , , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2005 |
| País: | México |
| Institución: | Universidad Nacional Autónoma de México |
| Repositorio: | Sistema de Información de la Facultad de Ciencias, UNAM |
| OAI Identifier: | oai:repositorio.fciencias.unam.mx:11154/1535 |
| Acceso en línea: | http://hdl.handle.net/11154/1535 |
| Access Level: | acceso abierto |
| Palabra clave: | Materials Science, Multidisciplinary Optics free volume diagrams positron traps positron annihilation Bessel functions of the first kind |
| Sumario: | Two-semiempirical positron stationary quantum models are developed for the study of nanoporosity in a wide range of solid porous materials. The cubic and conic well potentials are considered and their geometric parameters are related to the Positron Annihilation LifeTime Spectroscopy measurements (PALS). A new resonance lifetime phenomenon is found, which enables to propose a technique to trap positrons in such sites. The free volume equations of these new models were then compared to the well-known and widely utilized Spherical Free Volume Model (SFVM) and we found remarkable differences. A strong variation of the free volume size-positron lifetime relation with the geometry involved is observed and it remarkable dependence of the electron layer thickness parameter Delta R with the hole-shape under study and with the nature of the material considered. The mathematical functions appearing in the conic case are the superposition of Bessel functions of the first kind and trigonometric functions in the cubic case. Generalized free volume diagrams were drawn and a geometrical representation of the diverse cases considered was obtained. (c) 2004 Elsevier B.V. All rights reserved. |
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