The Singlet Doubly Excited (nl)<sup>2</sup> (n ≤ 7) States of He-Like Systems up to Z=10 and the Effect of Screen Constant (α) on the Nuclear Charge (Z)

Abdou Diouf; Boubacar Sow; Youssou Gning; Malick Sow; Alassane Traore; Ahmadou Wague

doi:doi:10.11648/j.ijamtp.20170304.11

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The Singlet Doubly Excited (nl)² (n ≤ 7) States of He-Like Systems up to Z=10 and the Effect of Screen Constant (α) on the Nuclear Charge (Z)

Abdou Diouf, Boubacar Sow, Youssou Gning, Malick Sow, Alassane Traore, Ahmadou Wague

Published in International Journal of Applied Mathematics and Theoretical Physics (Volume 3, Issue 4)

Received: 10 June 2017 Accepted: 3 July 2017 Published: 9 August 2017

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Abstract

Calculations of the energy levels of atoms and ions with Z ≤ 10 are carried out in this paper using the variational method. New wave function with two terms including correlation was performed to calculate excited (ns²) ¹Se, (np²) ¹D^e, (nd²) ¹G^e, (nf²) ¹I^e, (nh²) ¹M^e and (ng²) ¹K^e states with (n ≤ 7). The results obtained show quantitatively the great significance of electron correlation effects in the doubly excited states. These results are in compliance with some experimental and theoretical data.

Published in	International Journal of Applied Mathematics and Theoretical Physics (Volume 3, Issue 4)
DOI	10.11648/j.ijamtp.20170304.11
Page(s)	78-85
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), 2017. Published by Science Publishing Group

Keywords

Energy, Wave Function, Two Terms, Excited States, Atoms and Ions

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Abdou Diouf, Boubacar Sow, Youssou Gning, Malick Sow, Alassane Traore, et al. (2017). The Singlet Doubly Excited (nl)2 (n ≤ 7) States of He-Like Systems up to Z=10 and the Effect of Screen Constant (α) on the Nuclear Charge (Z). International Journal of Applied Mathematics and Theoretical Physics, 3(4), 78-85. https://doi.org/10.11648/j.ijamtp.20170304.11

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ACS Style

Abdou Diouf; Boubacar Sow; Youssou Gning; Malick Sow; Alassane Traore, et al. The Singlet Doubly Excited (nl)2 (n ≤ 7) States of He-Like Systems up to Z=10 and the Effect of Screen Constant (α) on the Nuclear Charge (Z). Int. J. Appl. Math. Theor. Phys. 2017, 3(4), 78-85. doi: 10.11648/j.ijamtp.20170304.11

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AMA Style

Abdou Diouf, Boubacar Sow, Youssou Gning, Malick Sow, Alassane Traore, et al. The Singlet Doubly Excited (nl)2 (n ≤ 7) States of He-Like Systems up to Z=10 and the Effect of Screen Constant (α) on the Nuclear Charge (Z). Int J Appl Math Theor Phys. 2017;3(4):78-85. doi: 10.11648/j.ijamtp.20170304.11

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@article{10.11648/j.ijamtp.20170304.11,
  author = {Abdou Diouf and Boubacar Sow and Youssou Gning and Malick Sow and Alassane Traore and Ahmadou Wague},
  title = {The Singlet Doubly Excited (nl)2 (n ≤ 7) States of He-Like Systems up to Z=10 and the Effect of Screen Constant (α) on the Nuclear Charge (Z)},
  journal = {International Journal of Applied Mathematics and Theoretical Physics},
  volume = {3},
  number = {4},
  pages = {78-85},
  doi = {10.11648/j.ijamtp.20170304.11},
  url = {https://doi.org/10.11648/j.ijamtp.20170304.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20170304.11},
  abstract = {Calculations of the energy levels of atoms and ions with Z ≤ 10 are carried out in this paper using the variational method. New wave function with two terms including correlation was performed to calculate excited (ns2) 1Se, (np2) 1De, (nd2) 1Ge, (nf2) 1Ie, (nh2) 1Me and (ng2) 1Ke states with (n ≤ 7). The results obtained show quantitatively the great significance of electron correlation effects in the doubly excited states. These results are in compliance with some experimental and theoretical data.},
 year = {2017}
}

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TY  - JOUR
T1  - The Singlet Doubly Excited (nl)2 (n ≤ 7) States of He-Like Systems up to Z=10 and the Effect of Screen Constant (α) on the Nuclear Charge (Z)
AU  - Abdou Diouf
AU  - Boubacar Sow
AU  - Youssou Gning
AU  - Malick Sow
AU  - Alassane Traore
AU  - Ahmadou Wague
Y1  - 2017/08/09
PY  - 2017
N1  - https://doi.org/10.11648/j.ijamtp.20170304.11
DO  - 10.11648/j.ijamtp.20170304.11
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  - 78
EP  - 85
PB  - Science Publishing Group
SN  - 2575-5927
UR  - https://doi.org/10.11648/j.ijamtp.20170304.11
AB  - Calculations of the energy levels of atoms and ions with Z ≤ 10 are carried out in this paper using the variational method. New wave function with two terms including correlation was performed to calculate excited (ns2) 1Se, (np2) 1De, (nd2) 1Ge, (nf2) 1Ie, (nh2) 1Me and (ng2) 1Ke states with (n ≤ 7). The results obtained show quantitatively the great significance of electron correlation effects in the doubly excited states. These results are in compliance with some experimental and theoretical data.
VL  - 3
IS  - 4
ER  -

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Author Information

Abdou Diouf

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

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

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
Alassane Traore

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

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

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Plain Text BibTeX RIS

APA Style

Abdou Diouf, Boubacar Sow, Youssou Gning, Malick Sow, Alassane Traore, et al. (2017). The Singlet Doubly Excited (nl)2 (n ≤ 7) States of He-Like Systems up to Z=10 and the Effect of Screen Constant (α) on the Nuclear Charge (Z). International Journal of Applied Mathematics and Theoretical Physics, 3(4), 78-85. https://doi.org/10.11648/j.ijamtp.20170304.11

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ACS Style

Abdou Diouf; Boubacar Sow; Youssou Gning; Malick Sow; Alassane Traore, et al. The Singlet Doubly Excited (nl)2 (n ≤ 7) States of He-Like Systems up to Z=10 and the Effect of Screen Constant (α) on the Nuclear Charge (Z). Int. J. Appl. Math. Theor. Phys. 2017, 3(4), 78-85. doi: 10.11648/j.ijamtp.20170304.11

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AMA Style

Abdou Diouf, Boubacar Sow, Youssou Gning, Malick Sow, Alassane Traore, et al. The Singlet Doubly Excited (nl)2 (n ≤ 7) States of He-Like Systems up to Z=10 and the Effect of Screen Constant (α) on the Nuclear Charge (Z). Int J Appl Math Theor Phys. 2017;3(4):78-85. doi: 10.11648/j.ijamtp.20170304.11

Copy | Download

@article{10.11648/j.ijamtp.20170304.11,
  author = {Abdou Diouf and Boubacar Sow and Youssou Gning and Malick Sow and Alassane Traore and Ahmadou Wague},
  title = {The Singlet Doubly Excited (nl)2 (n ≤ 7) States of He-Like Systems up to Z=10 and the Effect of Screen Constant (α) on the Nuclear Charge (Z)},
  journal = {International Journal of Applied Mathematics and Theoretical Physics},
  volume = {3},
  number = {4},
  pages = {78-85},
  doi = {10.11648/j.ijamtp.20170304.11},
  url = {https://doi.org/10.11648/j.ijamtp.20170304.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20170304.11},
  abstract = {Calculations of the energy levels of atoms and ions with Z ≤ 10 are carried out in this paper using the variational method. New wave function with two terms including correlation was performed to calculate excited (ns2) 1Se, (np2) 1De, (nd2) 1Ge, (nf2) 1Ie, (nh2) 1Me and (ng2) 1Ke states with (n ≤ 7). The results obtained show quantitatively the great significance of electron correlation effects in the doubly excited states. These results are in compliance with some experimental and theoretical data.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - The Singlet Doubly Excited (nl)2 (n ≤ 7) States of He-Like Systems up to Z=10 and the Effect of Screen Constant (α) on the Nuclear Charge (Z)
AU  - Abdou Diouf
AU  - Boubacar Sow
AU  - Youssou Gning
AU  - Malick Sow
AU  - Alassane Traore
AU  - Ahmadou Wague
Y1  - 2017/08/09
PY  - 2017
N1  - https://doi.org/10.11648/j.ijamtp.20170304.11
DO  - 10.11648/j.ijamtp.20170304.11
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  - 78
EP  - 85
PB  - Science Publishing Group
SN  - 2575-5927
UR  - https://doi.org/10.11648/j.ijamtp.20170304.11
AB  - Calculations of the energy levels of atoms and ions with Z ≤ 10 are carried out in this paper using the variational method. New wave function with two terms including correlation was performed to calculate excited (ns2) 1Se, (np2) 1De, (nd2) 1Ge, (nf2) 1Ie, (nh2) 1Me and (ng2) 1Ke states with (n ≤ 7). The results obtained show quantitatively the great significance of electron correlation effects in the doubly excited states. These results are in compliance with some experimental and theoretical data.
VL  - 3
IS  - 4
ER  -

Copy | Download