Analytic Distorted-Wave Approximation for Electron Scattering from Atomic Calculations

Mirteymur Mirabutalybov; Aliyeva Mahire Khasay; Resulova Aygun Vahid; Tagiyeva Sevil Avadi

doi:doi:10.11648/j.ijhep.20170405.11

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Analytic Distorted-Wave Approximation for Electron Scattering from Atomic Calculations

Mirteymur Mirabutalybov, Aliyeva Mahire Khasay, Resulova Aygun Vahid, Tagiyeva Sevil Avadi

Published in International Journal of High Energy Physics (Volume 4, Issue 5)

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

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[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

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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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TY  - JOUR
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
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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

Mirteymur Mirabutalybov

Physics Department, Azerbaijan State Oil and Industrial University, Baku, Azerbaijan
Aliyeva Mahire Khasay

Physics Department, Azerbaijan State Oil and Industrial University, Baku, Azerbaijan
Resulova Aygun Vahid

Physics Department, Azerbaijan State Oil and Industrial University, Baku, Azerbaijan
Tagiyeva Sevil Avadi

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

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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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TY  - JOUR
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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