Theoretical Studies of Positron Annihilation in Aluminum Bismuth Alloy

Noureddine Amrane; Maamar Benkraouda

doi:doi:10.11648/j.wjap.20170204.14

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Theoretical Studies of Positron Annihilation in Aluminum Bismuth Alloy

Noureddine Amrane, Maamar Benkraouda

Published in World Journal of Applied Physics (Volume 2, Issue 4)

Received: 30 July 2017 Accepted: 5 September 2017 Published: 11 November 2017

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Abstract

Electron and positron charge densities are calculated as a function of position in the unit cell for Aluminum Bismuth binary compound. Wave functions are derived from pseudopotential band structure calculations and the independent particle approximation (IPM), respectively, for the electrons and the positrons. It is observed that the positron density is maximum in the open interstices and is excluded not only, from the ion cores but also to a considerable degree from the valence bonds. Electron-positron momentum densities are calculated for (001, 110) planes. The results are used to analyze the positron effects in AlBi.

Published in	World Journal of Applied Physics (Volume 2, Issue 4)
DOI	10.11648/j.wjap.20170204.14
Page(s)	113-118
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Positron, Band Structure, Charge Density, Momentum Density

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Noureddine Amrane, Maamar Benkraouda. (2017). Theoretical Studies of Positron Annihilation in Aluminum Bismuth Alloy. World Journal of Applied Physics, 2(4), 113-118. https://doi.org/10.11648/j.wjap.20170204.14

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ACS Style

Noureddine Amrane; Maamar Benkraouda. Theoretical Studies of Positron Annihilation in Aluminum Bismuth Alloy. World J. Appl. Phys. 2017, 2(4), 113-118. doi: 10.11648/j.wjap.20170204.14

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AMA Style

Noureddine Amrane, Maamar Benkraouda. Theoretical Studies of Positron Annihilation in Aluminum Bismuth Alloy. World J Appl Phys. 2017;2(4):113-118. doi: 10.11648/j.wjap.20170204.14

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@article{10.11648/j.wjap.20170204.14,
  author = {Noureddine Amrane and Maamar Benkraouda},
  title = {Theoretical Studies of Positron Annihilation in Aluminum Bismuth Alloy},
  journal = {World Journal of Applied Physics},
  volume = {2},
  number = {4},
  pages = {113-118},
  doi = {10.11648/j.wjap.20170204.14},
  url = {https://doi.org/10.11648/j.wjap.20170204.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wjap.20170204.14},
  abstract = {Electron and positron charge densities are calculated as a function of position in the unit cell for Aluminum Bismuth binary compound. Wave functions are derived from pseudopotential band structure calculations and the independent particle approximation (IPM), respectively, for the electrons and the positrons. It is observed that the positron density is maximum in the open interstices and is excluded not only, from the ion cores but also to a considerable degree from the valence bonds. Electron-positron momentum densities are calculated for (001, 110) planes. The results are used to analyze the positron effects in AlBi.},
 year = {2017}
}

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TY  - JOUR
T1  - Theoretical Studies of Positron Annihilation in Aluminum Bismuth Alloy
AU  - Noureddine Amrane
AU  - Maamar Benkraouda
Y1  - 2017/11/11
PY  - 2017
N1  - https://doi.org/10.11648/j.wjap.20170204.14
DO  - 10.11648/j.wjap.20170204.14
T2  - World Journal of Applied Physics
JF  - World Journal of Applied Physics
JO  - World Journal of Applied Physics
SP  - 113
EP  - 118
PB  - Science Publishing Group
SN  - 2637-6008
UR  - https://doi.org/10.11648/j.wjap.20170204.14
AB  - Electron and positron charge densities are calculated as a function of position in the unit cell for Aluminum Bismuth binary compound. Wave functions are derived from pseudopotential band structure calculations and the independent particle approximation (IPM), respectively, for the electrons and the positrons. It is observed that the positron density is maximum in the open interstices and is excluded not only, from the ion cores but also to a considerable degree from the valence bonds. Electron-positron momentum densities are calculated for (001, 110) planes. The results are used to analyze the positron effects in AlBi.
VL  - 2
IS  - 4
ER  -

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Author Information

Noureddine Amrane

Faculty of Science, United Arab Emirates University, Al-Ain, United Arab Emirates
Maamar Benkraouda

Faculty of Science, United Arab Emirates University, Al-Ain, United Arab Emirates

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APA Style

Noureddine Amrane, Maamar Benkraouda. (2017). Theoretical Studies of Positron Annihilation in Aluminum Bismuth Alloy. World Journal of Applied Physics, 2(4), 113-118. https://doi.org/10.11648/j.wjap.20170204.14

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ACS Style

Noureddine Amrane; Maamar Benkraouda. Theoretical Studies of Positron Annihilation in Aluminum Bismuth Alloy. World J. Appl. Phys. 2017, 2(4), 113-118. doi: 10.11648/j.wjap.20170204.14

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AMA Style

Noureddine Amrane, Maamar Benkraouda. Theoretical Studies of Positron Annihilation in Aluminum Bismuth Alloy. World J Appl Phys. 2017;2(4):113-118. doi: 10.11648/j.wjap.20170204.14

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@article{10.11648/j.wjap.20170204.14,
  author = {Noureddine Amrane and Maamar Benkraouda},
  title = {Theoretical Studies of Positron Annihilation in Aluminum Bismuth Alloy},
  journal = {World Journal of Applied Physics},
  volume = {2},
  number = {4},
  pages = {113-118},
  doi = {10.11648/j.wjap.20170204.14},
  url = {https://doi.org/10.11648/j.wjap.20170204.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wjap.20170204.14},
  abstract = {Electron and positron charge densities are calculated as a function of position in the unit cell for Aluminum Bismuth binary compound. Wave functions are derived from pseudopotential band structure calculations and the independent particle approximation (IPM), respectively, for the electrons and the positrons. It is observed that the positron density is maximum in the open interstices and is excluded not only, from the ion cores but also to a considerable degree from the valence bonds. Electron-positron momentum densities are calculated for (001, 110) planes. The results are used to analyze the positron effects in AlBi.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Theoretical Studies of Positron Annihilation in Aluminum Bismuth Alloy
AU  - Noureddine Amrane
AU  - Maamar Benkraouda
Y1  - 2017/11/11
PY  - 2017
N1  - https://doi.org/10.11648/j.wjap.20170204.14
DO  - 10.11648/j.wjap.20170204.14
T2  - World Journal of Applied Physics
JF  - World Journal of Applied Physics
JO  - World Journal of Applied Physics
SP  - 113
EP  - 118
PB  - Science Publishing Group
SN  - 2637-6008
UR  - https://doi.org/10.11648/j.wjap.20170204.14
AB  - Electron and positron charge densities are calculated as a function of position in the unit cell for Aluminum Bismuth binary compound. Wave functions are derived from pseudopotential band structure calculations and the independent particle approximation (IPM), respectively, for the electrons and the positrons. It is observed that the positron density is maximum in the open interstices and is excluded not only, from the ion cores but also to a considerable degree from the valence bonds. Electron-positron momentum densities are calculated for (001, 110) planes. The results are used to analyze the positron effects in AlBi.
VL  - 2
IS  - 4
ER  -

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