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Analytic Distorted-Wave Approximation for Electron Scattering from Atomic Calculations

Received: 5 June 2017     Accepted: 7 July 2017     Published: 26 October 2017
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Abstract

The expression for differential cross section of elastic and inelastic scattering of relativistic electrons from atoms has been obtained analytically on the basis of distorted-wave theory. Differential section of elastic scattering of electrons from free gold atom calculated in incident energy of electrons ~ 25 eV has been compared with precise calculation method. Thickness of surface layer and root-mean square radius of density distribution of electron in gold atom have been determined.

Published in International Journal of High Energy Physics (Volume 4, Issue 5)
DOI 10.11648/j.ijhep.20170405.11
Page(s) 52-57
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

Distorted Electron Wave, Differential sections, Atomic Structure

References
[1] Tosic S. D. Measurements of differential cross sections for elastic electron scattering and electronic excitation of silver and lead atoms, Journal of Physics: Conference Series 399 (2012) p. 1-6
[2] Foram M. Joshi, Joshipura K. N. Scattering of electrons with atomic Mo: free and metallic phases, Journal of Physics: Conference Series 399 (2015) p. 1-3
[3] Salvat F., Martinez J. D, R. Mayol, Parellada J. Analytical Dirac-Hatree-Fock-Slater screening function for atoms (Z=1-92), Physical Review A, v. 36, N 2 (1987) p. 467-474
[4] Saltvat F, Workshop/ F, Salvat, J. M. Femandes-Varea, J. Sempau Proc. Barcelona, Spain, 4-7 June 2006, OECD(2006), NEA N 6222
[5] Tot N. “Theory of atom H. Mott. G. Messi red. Ya. I. Frenkel 2-edition M. Foreign Literature (1965) p. 752
[6] Stolyar V. A., Khuey N. Ch. T. “Analytical approach to the calculation of cross of elastic electron scattering on atom New of Volgograd State Technical University №3, v. 3, (2009) p. 15-19
[7] Yennie D. R., Boss F. L., Jr., Ravenhall D. G. Analytic distorted-wave approximation for high-energy electron scattering calculations Phys. Rev. B, v.137, N 4, (1965) p. 882-903
[8] Mirabutalybov M. M. Study of atomic nuclei by scattering particles LAP LAMBERT Academic Publishing Cm bHCoKG, Germany, (2011) p. 246
[9] Mirabutalibov M. M., Aliyeva M. Kh, Verdiyeva N. A., Rasulova A. V. Investigation of atom properties on the basis of distorted wave theory of scattering. VII International scientific-practical conference “Problems and perspectives of modern science” Moscow, (2016) p. 85-87
[10] Mirteymur M., Alieva M., Rasulova A., Saricanova V., Analytical method of calculation the cross section of elastic scattering of electrons on atom, IX. International Workshop on Nuclear structure properties, 1-3 September, (2016), Sivas, Turkey, p. 61-62
[11] Smolar V. А., Hieu N. T. Т., Electrons elastic scattering in solids, News of Volgograd State Technical University, №5, v. 6, (2011) p. 11-16
Cite This Article
  • APA Style

    Mirteymur Mirabutalybov, Aliyeva Mahire Khasay, Resulova Aygun Vahid, Tagiyeva Sevil Avadi. (2017). Analytic Distorted-Wave Approximation for Electron Scattering from Atomic Calculations. International Journal of High Energy Physics, 4(5), 52-57. https://doi.org/10.11648/j.ijhep.20170405.11

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    ACS Style

    Mirteymur Mirabutalybov; Aliyeva Mahire Khasay; Resulova Aygun Vahid; Tagiyeva Sevil Avadi. Analytic Distorted-Wave Approximation for Electron Scattering from Atomic Calculations. Int. J. High Energy Phys. 2017, 4(5), 52-57. doi: 10.11648/j.ijhep.20170405.11

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    AMA Style

    Mirteymur Mirabutalybov, Aliyeva Mahire Khasay, Resulova Aygun Vahid, Tagiyeva Sevil Avadi. Analytic Distorted-Wave Approximation for Electron Scattering from Atomic Calculations. Int J High Energy Phys. 2017;4(5):52-57. doi: 10.11648/j.ijhep.20170405.11

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  • @article{10.11648/j.ijhep.20170405.11,
      author = {Mirteymur Mirabutalybov and Aliyeva Mahire Khasay and Resulova Aygun Vahid and Tagiyeva Sevil Avadi},
      title = {Analytic Distorted-Wave Approximation for Electron Scattering from Atomic Calculations},
      journal = {International Journal of High Energy Physics},
      volume = {4},
      number = {5},
      pages = {52-57},
      doi = {10.11648/j.ijhep.20170405.11},
      url = {https://doi.org/10.11648/j.ijhep.20170405.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijhep.20170405.11},
      abstract = {The expression for differential cross section of elastic and inelastic scattering of relativistic electrons from atoms has been obtained analytically on the basis of distorted-wave theory. Differential section of elastic scattering of electrons from free gold atom calculated in incident energy of electrons ~ 25 eV has been compared with precise calculation method. Thickness of surface layer and root-mean square radius of density distribution of electron in gold atom have been determined.},
     year = {2017}
    }
    

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    T1  - Analytic Distorted-Wave Approximation for Electron Scattering from Atomic Calculations
    AU  - Mirteymur Mirabutalybov
    AU  - Aliyeva Mahire Khasay
    AU  - Resulova Aygun Vahid
    AU  - Tagiyeva Sevil Avadi
    Y1  - 2017/10/26
    PY  - 2017
    N1  - https://doi.org/10.11648/j.ijhep.20170405.11
    DO  - 10.11648/j.ijhep.20170405.11
    T2  - International Journal of High Energy Physics
    JF  - International Journal of High Energy Physics
    JO  - International Journal of High Energy Physics
    SP  - 52
    EP  - 57
    PB  - Science Publishing Group
    SN  - 2376-7448
    UR  - https://doi.org/10.11648/j.ijhep.20170405.11
    AB  - The expression for differential cross section of elastic and inelastic scattering of relativistic electrons from atoms has been obtained analytically on the basis of distorted-wave theory. Differential section of elastic scattering of electrons from free gold atom calculated in incident energy of electrons ~ 25 eV has been compared with precise calculation method. Thickness of surface layer and root-mean square radius of density distribution of electron in gold atom have been determined.
    VL  - 4
    IS  - 5
    ER  - 

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Author Information
  • Physics Department, Azerbaijan State Oil and Industrial University, Baku, Azerbaijan

  • Physics Department, Azerbaijan State Oil and Industrial University, Baku, Azerbaijan

  • Physics Department, Azerbaijan State Oil and Industrial University, Baku, Azerbaijan

  • Physics Department, Azerbaijan State Oil and Industrial University, Baku, Azerbaijan

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