Correlation Factor Taking into Account Spherical Harmonics Through Hypergeometric Functions to Calculate Energies of Li-Like Ions

Boubacar Sow; Malick Sow; Ahmadou Wagué

doi:doi:10.11648/j.ijamtp.20200602.13

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Correlation Factor Taking into Account Spherical Harmonics Through Hypergeometric Functions to Calculate Energies of Li-Like Ions

Boubacar Sow, Malick Sow, Ahmadou Wagué

Published in International Journal of Applied Mathematics and Theoretical Physics (Volume 6, Issue 2)

Received: 6 July 2020 Accepted: 14 July 2020 Published: 28 July 2020

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Abstract

Calculations of the energy levels of atoms and ions with Z ≤ 10 are carried out in this paper using a new wave function including a new method to calculate the correlation factor taking into account spherical harmonics through hypergeometric functions to calculate (1s22s) ²S^e, (1sns2) ²S^e, (1s2sns) ²S^e and (1s2snp) ²P^O states. The calculations concern the total energy, kinetic energy, Coulomb interaction between the atomic nucleus and the three electrons and the Coulomb interaction between electrons. The results that we have obtained confirm that a relatively theoretical procedure could be used for adequate calculations and understanding of electron correlation effects in doubly excited three- electron states. These results are in compliance with some experimental and theoretical data.

Published in	International Journal of Applied Mathematics and Theoretical Physics (Volume 6, Issue 2)
DOI	10.11648/j.ijamtp.20200602.13
Page(s)	26-34
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), 2020. Published by Science Publishing Group

Keywords

Wave Function Correlated, Spherical Harmonics, Excited States, Correlation Factor

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APA Style

Boubacar Sow, Malick Sow, Ahmadou Wagué. (2020). Correlation Factor Taking into Account Spherical Harmonics Through Hypergeometric Functions to Calculate Energies of Li-Like Ions. International Journal of Applied Mathematics and Theoretical Physics, 6(2), 26-34. https://doi.org/10.11648/j.ijamtp.20200602.13

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ACS Style

Boubacar Sow; Malick Sow; Ahmadou Wagué. Correlation Factor Taking into Account Spherical Harmonics Through Hypergeometric Functions to Calculate Energies of Li-Like Ions. Int. J. Appl. Math. Theor. Phys. 2020, 6(2), 26-34. doi: 10.11648/j.ijamtp.20200602.13

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AMA Style

Boubacar Sow, Malick Sow, Ahmadou Wagué. Correlation Factor Taking into Account Spherical Harmonics Through Hypergeometric Functions to Calculate Energies of Li-Like Ions. Int J Appl Math Theor Phys. 2020;6(2):26-34. doi: 10.11648/j.ijamtp.20200602.13

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@article{10.11648/j.ijamtp.20200602.13,
  author = {Boubacar Sow and Malick Sow and Ahmadou Wagué},
  title = {Correlation Factor Taking into Account Spherical Harmonics Through Hypergeometric Functions to Calculate Energies of Li-Like Ions},
  journal = {International Journal of Applied Mathematics and Theoretical Physics},
  volume = {6},
  number = {2},
  pages = {26-34},
  doi = {10.11648/j.ijamtp.20200602.13},
  url = {https://doi.org/10.11648/j.ijamtp.20200602.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20200602.13},
  abstract = {Calculations of the energy levels of atoms and ions with Z ≤ 10 are carried out in this paper using a new wave function including a new method to calculate the correlation factor taking into account spherical harmonics through hypergeometric functions to calculate (1s22s) 2Se, (1sns2) 2Se, (1s2sns) 2Se and (1s2snp) 2PO states. The calculations concern the total energy, kinetic energy, Coulomb interaction between the atomic nucleus and the three electrons and the Coulomb interaction between electrons. The results that we have obtained confirm that a relatively theoretical procedure could be used for adequate calculations and understanding of electron correlation effects in doubly excited three- electron states. These results are in compliance with some experimental and theoretical data.},
 year = {2020}
}

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TY  - JOUR
T1  - Correlation Factor Taking into Account Spherical Harmonics Through Hypergeometric Functions to Calculate Energies of Li-Like Ions
AU  - Boubacar Sow
AU  - Malick Sow
AU  - Ahmadou Wagué
Y1  - 2020/07/28
PY  - 2020
N1  - https://doi.org/10.11648/j.ijamtp.20200602.13
DO  - 10.11648/j.ijamtp.20200602.13
T2  - International Journal of Applied Mathematics and Theoretical Physics
JF  - International Journal of Applied Mathematics and Theoretical Physics
JO  - International Journal of Applied Mathematics and Theoretical Physics
SP  - 26
EP  - 34
PB  - Science Publishing Group
SN  - 2575-5927
UR  - https://doi.org/10.11648/j.ijamtp.20200602.13
AB  - Calculations of the energy levels of atoms and ions with Z ≤ 10 are carried out in this paper using a new wave function including a new method to calculate the correlation factor taking into account spherical harmonics through hypergeometric functions to calculate (1s22s) 2Se, (1sns2) 2Se, (1s2sns) 2Se and (1s2snp) 2PO states. The calculations concern the total energy, kinetic energy, Coulomb interaction between the atomic nucleus and the three electrons and the Coulomb interaction between electrons. The results that we have obtained confirm that a relatively theoretical procedure could be used for adequate calculations and understanding of electron correlation effects in doubly excited three- electron states. These results are in compliance with some experimental and theoretical data.
VL  - 6
IS  - 2
ER  -

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Author Information

Boubacar Sow

Department of Physics, Atoms Laser Laboratory, University Cheikh Anta Diop, Dakar, Senegal
Malick Sow

Department of Physics, Atoms Laser Laboratory, University Cheikh Anta Diop, Dakar, Senegal
Ahmadou Wagué

Department of Physics, Atoms Laser Laboratory, University Cheikh Anta Diop, Dakar, Senegal

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Plain Text BibTeX RIS

APA Style

Boubacar Sow, Malick Sow, Ahmadou Wagué. (2020). Correlation Factor Taking into Account Spherical Harmonics Through Hypergeometric Functions to Calculate Energies of Li-Like Ions. International Journal of Applied Mathematics and Theoretical Physics, 6(2), 26-34. https://doi.org/10.11648/j.ijamtp.20200602.13

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ACS Style

Boubacar Sow; Malick Sow; Ahmadou Wagué. Correlation Factor Taking into Account Spherical Harmonics Through Hypergeometric Functions to Calculate Energies of Li-Like Ions. Int. J. Appl. Math. Theor. Phys. 2020, 6(2), 26-34. doi: 10.11648/j.ijamtp.20200602.13

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AMA Style

Boubacar Sow, Malick Sow, Ahmadou Wagué. Correlation Factor Taking into Account Spherical Harmonics Through Hypergeometric Functions to Calculate Energies of Li-Like Ions. Int J Appl Math Theor Phys. 2020;6(2):26-34. doi: 10.11648/j.ijamtp.20200602.13

Copy | Download

@article{10.11648/j.ijamtp.20200602.13,
  author = {Boubacar Sow and Malick Sow and Ahmadou Wagué},
  title = {Correlation Factor Taking into Account Spherical Harmonics Through Hypergeometric Functions to Calculate Energies of Li-Like Ions},
  journal = {International Journal of Applied Mathematics and Theoretical Physics},
  volume = {6},
  number = {2},
  pages = {26-34},
  doi = {10.11648/j.ijamtp.20200602.13},
  url = {https://doi.org/10.11648/j.ijamtp.20200602.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20200602.13},
  abstract = {Calculations of the energy levels of atoms and ions with Z ≤ 10 are carried out in this paper using a new wave function including a new method to calculate the correlation factor taking into account spherical harmonics through hypergeometric functions to calculate (1s22s) 2Se, (1sns2) 2Se, (1s2sns) 2Se and (1s2snp) 2PO states. The calculations concern the total energy, kinetic energy, Coulomb interaction between the atomic nucleus and the three electrons and the Coulomb interaction between electrons. The results that we have obtained confirm that a relatively theoretical procedure could be used for adequate calculations and understanding of electron correlation effects in doubly excited three- electron states. These results are in compliance with some experimental and theoretical data.},
 year = {2020}
}

Copy | Download

TY  - JOUR
T1  - Correlation Factor Taking into Account Spherical Harmonics Through Hypergeometric Functions to Calculate Energies of Li-Like Ions
AU  - Boubacar Sow
AU  - Malick Sow
AU  - Ahmadou Wagué
Y1  - 2020/07/28
PY  - 2020
N1  - https://doi.org/10.11648/j.ijamtp.20200602.13
DO  - 10.11648/j.ijamtp.20200602.13
T2  - International Journal of Applied Mathematics and Theoretical Physics
JF  - International Journal of Applied Mathematics and Theoretical Physics
JO  - International Journal of Applied Mathematics and Theoretical Physics
SP  - 26
EP  - 34
PB  - Science Publishing Group
SN  - 2575-5927
UR  - https://doi.org/10.11648/j.ijamtp.20200602.13
AB  - Calculations of the energy levels of atoms and ions with Z ≤ 10 are carried out in this paper using a new wave function including a new method to calculate the correlation factor taking into account spherical harmonics through hypergeometric functions to calculate (1s22s) 2Se, (1sns2) 2Se, (1s2sns) 2Se and (1s2snp) 2PO states. The calculations concern the total energy, kinetic energy, Coulomb interaction between the atomic nucleus and the three electrons and the Coulomb interaction between electrons. The results that we have obtained confirm that a relatively theoretical procedure could be used for adequate calculations and understanding of electron correlation effects in doubly excited three- electron states. These results are in compliance with some experimental and theoretical data.
VL  - 6
IS  - 2
ER  -

Copy | Download