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Compton Scattering

This study explores Compton scattering to determine the electron mass and cross section. Conducted using a photomultiplier tube, scintillator, and lead shielding, energy spectra were collected with and without a copper cylinder. The data fitting process allows for accurate determination of the electron mass, yielding a value of 503.8 ± 14.6 keV, which closely aligns with the known mass of 510.998910 ± 0.000013 keV. Additionally, the collected data supports the Klein-Nishina model, demonstrating the relationship between theoretical predictions and experimental results.

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Compton Scattering

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Presentation Transcript

  1. Compton Scattering James Durgin Physics 521 March 19, 2009

  2. Background Collecting energies at several points lets one find electron mass and cross section Image from user-review.ca

  3. Photomultiper tube Scintillator Lead shielding Copper cylinder Source inside shielding

  4. Experimental Theory • Calibrate multichannel analyzer • Collect energy spectrums with copper cylinder • Collect energy spectrums without copper cylinder • Fit points to find electron mass and experimental cross section

  5. Calibration Isotope energies v. channel number

  6. Energy Spectrums Counts per channel v. channel number Net counts v. channel number

  7. Net counts v. channel number Fit for Compton Scattered Photons Graphical Compton’s Equation

  8. Cross section comparison Collected data follows Klein-Nishina cross section Thomson cross section Thomson equation Klein-Nishina cross section Klein-Nishina equation

  9. Uncertainty Analysis • Statistical nature of counts • Setup uncertainty • Conversion uncertainty • Negligible events

  10. Conclusion • Experimental electron mass of 503.8 ± 14.6 keV v. actual electron mass of 510.998910±0.000013 keV • Collected data has closer agreement with Klein-Nishina model

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