International Journal of Applied Mathematics and Theoretical Physics

| Peer-Reviewed |

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)

Received: 10 June 2017    Accepted: 03 July 2017    Published: 09 August 2017
Views:       Downloads:

Share This Article

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.

DOI 10.11648/j.ijamtp.20170304.11
Published in International Journal of Applied Mathematics and Theoretical Physics (Volume 3, Issue 4, October 2017)
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), 2024. Published by Science Publishing Group

Keywords

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

References
[1] A. Artemyev R. Grobe and J. H. Eberly. PhysicalReview A Vol. 51 No 1. (1995).
[2] I. A. Ivanov. Physical Review A. Vol 52 N 3(1995).
[3] B. B. Nadezhdin and E. A. Oks. Opt. Spectrosk. Vol. 68 p. 22 -28. (1990).
[4] A. Wagué. Z. Phys. D - atoms molecules andclusters 8 p. 251 – 254. (1988).
[5] D. Ray and P. K. Mukherjee. J. Phys. B: At. Mol. Opt. Phys. N. 19 p. 1241 - 1249. (1991).
[6] D. Ray, B. Kundu P. K. Mukherjee K. Ohtsuki and K. Ohno. Phys. Lett. 136 A 423. (1989).
[7] A. L. Godunov, N. V. Novikov V. S. Senashenko. Physics letters A. Vol. 145, p. 437 – 440. (1990).
[8] M. E. Ke1lman and D. R. Herrick. J. Phys. B: vol II N 24. (1978).
[9] U. Fano. Report prog. Physcs. Vol 46, p. 97-165. (1983).
[10] S. Watanabe C. D. Lin. Phy. Rev. A. Vol. 34, N02. (1986).
[11] I. A. Ivanov and U. I. Safronova. Opt. Spectrosk. Vol. 75, P. 506 – 516. (1993).
[12] O. V. Konstantinov, Sh. K. Nasibulaev and O. A. Ponomarev. Opt. Spectrosk. Vol. 68. p. 248-250. (1990).
[13] A. Wagué. Thèse d'état physique atomique, Université Paul Sabatier, Toulouse. (1984).
[14] V. V. Balashoy S. Grishanoya 1. M. Krugloyaand V. S. Senashenko. Opt. Spektrosk. T. Vol 28, p. 859 – 868. (1970).
[15] V. S. Senashenko A. Wagué. J. Phys. B : Atom. Molec. Phys. Vol. 12, N08. (1979).
[16] D. R. Herrick and O. Sinanoglu. Phys. Rev. A II 97. (1975).
[17] C. D. Lin. Physical Review A; Vol 29, N3. (1984).
[18] D. R. Herrick and M. E. Kellman. Physical Review A. vol 21 N02. (1980).
[19] D. R. Herrick M. E. Kellman and R. D. Poliak. Phys. Review A. Vol 22. N04. (1980).
[20] J. Mahecha Gamez. Review A. Vol 34. N. 4. (1980).
[21] Y. K. Ho. J. Phys. B: Atom. Molec. Phys. Vol. 12N. 18. (1979).
[22] E. Bals1ev and J. M. Combes. Commun. Math. Phy. Vol. 22 P. 280 294. (1971).
[23] C. Cerjan R. Hedges C. HoIt W. P. Reinhardt, K. Scheibner and J. J. Wendoloskl. Int. J. Quantum Chem. vol. 14 P. 393 – 418. (1978).
[24] R. Varis and P. Winkler. J. Phys. B: Atom. Molec. Phys. Vol. 8 p. 1475 – 1480. (1978).
[25] Hylleraas. E. A. Zeits. f. Phys. 48, 469. (1928).
[26] Boubacar Sow, Youssou Gning, Malick Sow, Alassane Traore, Ahmadou Wagué. American Journal of Modern Physics. 5(5): 146-153. (2016).
[27] Youssou Gning, Malick Sow, Alassane Traoré, Matabara Dieng, Babacar Diakhate, Mamadi Biaye, Ahmadou Wagué. Radiation Physics and Chemistry 106, 1–6. (2015).
[28] M. Biaye, M. Dieng, I. Sakho, A. Konte, A. S. Ndao, and A. Wague. Chinese Journal of Physics. VOL. 47, NO. 2. (2009).
[29] M. Biaye, A. Konte, N. A. B. Faye, A. Wague. Phys. Scr. 71, 39. (2005).
[30] Hylleraas. E. A. Z. Phys. 54, 347. (1929).
[31] I. Sakho, A. Konte, A. S Ndao, M. Biaye, and A. Wague. Phys. Scr. 82, 035301. (2010).
[32] Y. K. Ho, Phys. Rev. A. 23, 2137. (1981).
[33] A. I. Inanov and U. I. Safronova. Opt. Spectrosc. 75, 298. (1993).
[34] A. K. Roy, R. Singh, and B. M. Deb. J. Phys. B: At. Mol. Opt. Phys. 30, 4763. (1997).
[35] S. Diehl, D. Cubaynes, J. P. Bizau, F. J. Wuilleumier, E. P. Kenedy et al. J. Phys. B: At. Mol. Opt. Phys. 32, 503. (1999).
[36] M. Biaye Thèse de Doctorat d’état, Université Cheikh Anta Diop de Dakar. (2005).
[37] Ray. D, Mukherjee P. K. (1991). J. Phys. B 24, 1241.
[38] B. Sow, M. Sow, Y. Gning, A. Traoré, A. S. Ndao, A. Wague. Radiation Physics and Chemistry 123, 25–30. (2016).
[39] C. D. Lin. Physical Review A; Vol 29, N 3. (1984).
[40] D. R. Herrick and M. E. Kellman. Physical Review A. vol 21, N 2. (1980).
[41] M. E. Kellman and D. R. Herrick. JPhys. B: Vol. II N. 24. (1978).
Author Information
  • Department of Physics, Atoms Laser Laboratory, University Cheikh Anta Diop, Dakar, Senegal

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

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

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

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

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

Cite This Article
  • 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

    Copy | Download

    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

    Copy | Download

    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://download.sciencepg.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

  • Sections