A new study of the Mott scattering of electrons by Monte Carlo simulation

• Published in: Radiation physics and chemistry (Oxford, England : 1993) England : 1993), 2023-02, Vol.203, p.110599, Article 110599
• Main Authors: Alkhazraji, Mohammed Shihab, Allah, Sabah Mahmoud Aman, Ben Ahmed, Ali
• Format: Article
• Language: English
• Subjects: McKinley-Feshbach equation; Screening distance; Shielding factor; The Rutherford scattering
• ISSN: 0969-806X; 1879-0895
• DOI: 10.1016/j.radphyschem.2022.110599

The most precise knowledge of the nuclear size and charge distribution has come from the scattering of energetic electrons from the nuclei. In the current work, we calculated the ratio between the differential Mott cross section and the differential Rutherford cross section for the aluminum core in an incident electron energy range from 50 keV to 10000 keV and at angles ranging from 15° to 180°. In the same procedure, the shielding factor and the shielding distance were also evaluated. Three correction factors (nuclear size, recoiled nucleus, and spin terms) are employed and taken into account in the development of the Mott-Born, McKinley-Feshbach, and Rutherford equations. The calculations were accomplished by using Origin Pro 2018 Graphing and Monte Carlo simulation. The obtained results are in good agreement in comparison to the previous works. The analytical expression derived by McKinley-Feshbach, which takes into consideration relativistic electron characteristics, was proven to be the most effective equation. •The McKinley-Feshbach equation, which takes into consideration relative electron characteristics.•The McKinley-Feshbach equation can produce more accurate results.•The target has no spin and recoil plays a significant role in the equation.•If the scattering angles increase, the ratio (dσMottdσRutherford) drops considerably.•The shielding effect decreases if the energy of the input electrons increases.