https://github.com/mysftz/rutherford-scattering-experiment
Python analysis of the Rutherford Scattering experiment for a submission towards my bachelors of science degree. LaTeX written report is linked below.
https://github.com/mysftz/rutherford-scattering-experiment
data-science matplotlib python rutherford-experiment rutherford-scattering
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Python analysis of the Rutherford Scattering experiment for a submission towards my bachelors of science degree. LaTeX written report is linked below.
- Host: GitHub
- URL: https://github.com/mysftz/rutherford-scattering-experiment
- Owner: Mysftz
- License: cc-by-sa-4.0
- Created: 2023-08-18T18:43:54.000Z (almost 3 years ago)
- Default Branch: main
- Last Pushed: 2023-08-21T10:47:32.000Z (almost 3 years ago)
- Last Synced: 2023-08-21T11:58:07.608Z (almost 3 years ago)
- Topics: data-science, matplotlib, python, rutherford-experiment, rutherford-scattering
- Language: Python
- Homepage: https://github.com/Mysftz/Rutherford-Scattering-Experiment-Report
- Size: 2.43 MB
- Stars: 0
- Watchers: 1
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
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README
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# Rutherford Scattering Experiment
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About The Project •
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Table of Contents
## About The Project
### Introduction
By scattering $\alpha$-particles at different it’s proved Rutherford’s "scattering formula" given an error of $\theta$=$\pm$1.5\textdegree. A strong correlation within the data points relevant error margins is given between the experimental data and the theoretical data, this was done by valuing the coefficients A and B to be 0.00035 and 0.01 respectively. The experimental data was also corrected as the experiment measured values in a 2D horizontal plane whereas in fact it is a 3D cone, therefore a correction factor of $\sin(\theta)$ was deduced and multiplied with the experimentally $\alpha$ rate/s. The atomic number of aluminium proven by finding a strong correlated data angle i.e. -15\textdegree and its $\alpha$-particle Rate/s used to give a value of 12.88 which is just outside of the $\pm$0.1 error margin as the atomic number of aluminium is 13. It was also proven that the ratio of Rate/s and the total number of $\alpha$-particles is physically dimensionless by associating the physical dimension with each parameters SI Units.
Rutherford's scattering formula was proved as it was compared to physically collected experimental data which is corrected to account for the 3-dimensional cone scattering of the $\alpha$-particles. A strong correlation as a total of 100+ $\alpha$-particles were detected giving stronger quality results. But in both graphs shows a relationship between both sets of data at $\pm$15\textdegree clearly indicates an angle where reasonable results occur, this observation foreshadowed using 15\textdegree to determine the atomic number of aluminium.
By determining a positive relationship with the experimental and theoretical data with the angle -15\textdegree, this angle was used as the reference point for which its rate/s was used to accurately prove. Not only prove but prove the hypothesis, the closer $\theta$ = 0, a singularity occurs and the results become unstable. Therefore the angles -5\textdegree and +5\textdegree were dismissed, with -10\textdegree forming a value of 12 instead of -15\textdegree giving 13, which is the atomic number of aluminium. While recording these results it was obvious to see by the difference of the count rate of $\alpha$-particles per angle between both the aluminium and gold foils that the size of the nucleus can be determined by using the scattering angle.
### Built With
LaTeX, Overleaf, BibTeX
### Other Infomation
LaTeX Report: https://github.com/Mysftz/rutherford-scattering-experiment=report
Python Files: https://github.com/Mysftz/rutherford-scattering-experiment
## Usage
This report was submitted for the degree of a Bachelors of Science in Astronomy, Space Science and Astrophysics at the University of Kent in January 2020.
## License
Distributed under the CC-BY-SA-4.0: Creative Commons Attribution Share Alike 4.0 International License. See `LICENSE.txt` for more information.
## Other Projects
## Contact
GitHub: [@Mysftz](https://github.com/Mysftz) · Portfolio: [Website](https://mysftz.github.io) · LinkedIn: [@lrgtomaszewski](https://www.linkedin.com/in/lrgtomaszewski/) · Instagram: [@Mysftz](https://www.instagram.com/mysftz/) · Twitter: [@MysftzUK](https://twitter.com/MysftzUK)
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