Design of a dynamic simulation program for the Rutherford scattering experiment based on the Euler iteration method

Xiuting Niu; Xinyi Ma; Xinyuan Tian; Honglei Li; Ting Zhang

doi:10.54097/c5g7mq52

Authors

Xiuting Niu
Xinyi Ma
Xinyuan Tian
Honglei Li
Ting Zhang

DOI:

https://doi.org/10.54097/c5g7mq52

Keywords:

Simulation, Euler method for iteration, trigonometric functions, visualization, interactive interface.

Abstract

Based on the defects that the existing Rutherford scattering simulation instrument cannot be visualized, this paper designs a Rutherford scattering experimental dynamic simulation program. The simulation program mainly combines the corresponding physical formula, Euler equation iteration method and trigonometric function relationship for programming. It uses PhotoShop software, HTML, CSS, JavaScript and Python language for programming and drawing. As a result, within the same simulation time, the relationship between the number of deflected particles N and the incident energy E of alpha particles, the relationship between the number of target materials and the number of deflected particles N, and the relationship between the total number of deflected particles N and the deflected angle. This simulation program addresses the limitations of existing instruments by enabling visualization of the Rutherford scattering experiment through the innovative use of a web interface. This approach aligns with the current preferences of students. Additionally, the web-based platform allows for flexible adjustment of target nucleus types. Through this simulation program, particle scattering trajectories and the number of particles at different deflection angles are directly displayed, enabling students to better understand the Rutherford scattering experiment, enhance their learning experience, and thereby promote the development of experimental teaching and scientific research.

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References

[1] Barrette J. Nucleus-nucleus scattering and the Rutherford Experiment [J]. Journal of the Royal Society of New Zealand, 2021, 51(3–4): 434–443.

[2] Higginson D P. A Full-angle Monte-Carlo scattering technique including cumulative and single-event Rutherford scattering in Plasmas [J]. Journal of Computational Physics, 2017, 349: 589–603.

[3] Žugec P, Topić I. A shadow of the repulsive Rutherford scattering in the fixed-target and the center-of-mass frame [J]. arXiv, 2020.

[4] Jin X, Crocombette J-P, Djurabekova F, et al. New developments in the simulation of Rutherford backscattering spectrometry in channeling mode using arbitrary atom structures [J]. Modelling and Simulation in Materials Science and Engineering, 2020, 28(7): 075005.

[5] Lingis D, Gaspariūnas M, Kovalevskij V, et al. A model to simulate large angle Rutherford backscattering spectra in GEANT4 [J]. Computer Physics Communications, 2022, 271: 108187.

[6] Lichao T, Xiang Z, Jing J, et al. Design and Teaching Practice of the Rutherford Scattering Virtual Simulation Experiment[J]. Experiment Science and Technology, 2024, 22(1): 68-75.

[7] Umair Khalid Qureshi, Zubair Ahmed Kalhoro, Sanaullah Jamali. Fourth Order Iterated Method for Estimating a Single Root of Non-Linear Application Equations using Euler Method [J]. Proceedings of the Pakistan Academy of Sciences: A. Physical and Computational Sciences, 2022, 59(3): 35–42.

[8] Lai Z, Lim L-H, Ye K. Euclidean distance degree in manifold optimization [Z]. arXiv, 2025(2025).

[9] Jain R, Shrivastava V, et al. Modern Web Development using CSS & HTML [J]. International Journal of Emerging Science and Engineering, 2024, 12(6): 13–16.

[10] Li D, Mei H, Shen Y, et al. ECharts: A declarative framework for rapid construction of web-based Visualization [J]. Visual Informatics, 2018, 2(2): 136–146.