Study of the structure of atomics by the method of electron scattering in the distorted-wave approximation: Atomic energy

Year 2025, Volume: 9 Issue: 3, 38 - 44

M.m. Mirteimour , Mina Aliyeva

Abstract

Using distorted-wave approximation obtained the differential cross-section (DCS) of elastic scattering at energy of 80 eV of electrons on 49In, 31Ga, 34Se and 70Yb atoms, and calculated accordingly on the proposed mathematical method. The electron density distribution in the atom is chosen as a function calculated in the Dirac-Hartree-Fock-Slater approximation, which is a superposition of the spherically symmetric Yukawa potential. In addition, the DCSs were calculated for the electron density in the 49 In and 20 Ca atoms expressed as a three-parameter Fermi function at incident electron energy of 100 eV. The obtained theoretical calculations of the cross sections were compared with the experimental data. Besides, the proposed mathematical method simplifies the calculation of integral expressions and makes it possible to obtain a convenient and simple expression for the atomic form factor. Data on the scattering cross sections of electrons on atoms are of considerable interest both in the field of fundamental science for in-depth study of interaction processes and in practical applications, and are necessary in many areas of research, such as modeling low-temperature plasma, astrophysics phenomena, laser physics, and atmospheric effects etc. In addition to natural phenomena, the processes of collision of electrons with matter play an essential role in plasma technologies, such as, for example, microelectronics and biomedicine. Atomic physics, plasma physics and optics - fields directly related to electron-atom make a significant contribution to the fundamental understanding of the world. Despite the long study of the effects of electron scattering on atoms, and the results obtained in the physics of atomic collisions, this area still requires theoretical and experimental research, there is a significant lack of data on collision cross sections for their subsequent use in modeling and calculations. In particular, there are no systematized data on the cross sections for elastic scattering of high energy electrons by atomic.

Keywords

e (e, A) scattering, differential section, distribution density, energy, spatial structure of the target atom

References

• [1] N. Моtt, G. Messı, Atomic collision theory. In. lit. М. 352 (1965).
• [2] M.M. Mırteımour, M.KH. Alıyeva, A.V. Rasulova, Investigation of atoms by the electron scattering. ANAS Journal of Radiation Researches, 4(1) (2017) 62-67.
• [3] M.M. Mırteımour, The study of atomic nuclei scattering particles Gmb H $ Co KG. Germany. Acad. Pub., 246 (2011).
• [4] M.M. Mırteımour, M.B. Alıyeva, Study of scaterring relativistic electrons in atoms. Proceedings of the 1st International Scientific Conference «Theoretical Hypotheses and Empirical results» (October 04-06, 2022). Oslo, Norway, Physical and Mathematical Sciences, ISBN 978-7-9759-6275-5, 237 (2022).
• [5] M.M. Mırteımour, Distorted-Wave Approximation theory for Electron Scattering from Atomic. International Journal of Innovative Studies in Sciences and Engineering Technology, 5(5) (2017) 27-31.
• [6] D.R. Yennıe, F.L. Boos, D.G. Ravenhall, Analytic distorted-wave approximation for high-energy electron scattering calculations. Phys. Rev. B, v. 137(4) (1965) 882-903.
• [7] F. Salavat, J.D. Martınez Et Al., Analytical Dirac-Hartree-Fock-Slaater screening function for atoms (Z=1-92). Phys. Rev A, 36 (1987) 2467-474.
• [8] V.I. Kedemen, E. YU. Remeta, Elastic scattering of electrons by europium and ytterbium atoms. Journal of Technical Physics, 83 (2013) 46-56.
• [9] S. Maja, J. Rabasovıc, Electron-indium atom scattering and analysis of electron and optical spectra. Phys. Conf. Ser. 565 (2014) 012006.
• [10] S. Afroz, M.M. Haque, A.F. Haque, D.H. Jakubassa-Amundsen, M.A.R. Patoary, M. Shorifuddoza, ... & M.A. Uddin, Elastic scattering of electrons and positrons from 115In atoms over the energy range 1 eV–0.5 GeV. Results in Physics, 18 (2020) 103179.
• [11] M. Mousumı Khatun, M.M. Haque, M. Atıqur, R. Patoary, M. Smahmudul H. Khandker, A.K. Fazlulhaque, Hıroshıwatabe, M. Alfaz Uddın, Theoretical study of e± scattering by the Au atom. Results in Physics, 29 (2021) 104742.
• [12] M.M. Mırteymur, A.V. Resulova, Distorted-wave approximation theory for electron scattering, Hadronic Journal (Harvard University). 44(1) (2021) 19-25.
• [13] S. Mılısavljevıc, D. Sevıc, R.K. Chauhan, Differential and integrated cross sections for the elastic electron scattering by calcium atom. Journal of Physics B: Atomic, Molecular and Optical Physics, 38 (2005) 3-7.