Compton scattering, formulae question

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SUMMARY

The discussion centers on the application of the Compton scattering formula to determine the maximum speed of scattered electrons when an X-ray source of wavelength gamma is directed at a sample. The key equation used is KE=(γ-1)mc²=hc/λ - hc/λ', where the initial energy of the incident photon is subtracted from the final energy of the scattered photon. This subtraction is justified by the conservation of energy principle, as the scattered photon possesses lower energy than the incident photon due to energy transfer to the electron. The conversation highlights a misunderstanding regarding the convention of energy subtraction in this context.

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  • Understanding of Compton scattering principles
  • Familiarity with the equation KE=(γ-1)mc²
  • Knowledge of photon energy calculations (E=hc/λ)
  • Basic concepts of conservation of energy in physics
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  • Explore the implications of energy conservation in particle physics
  • Learn about the behavior of photons and electrons during scattering events
  • Investigate advanced applications of Compton scattering in experimental physics
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Homework Statement


An X-ray source of wavelength gamma is directed at a sample; determine the maximum speed of scattered electrons.

Homework Equations



KE=(\gamma-1)mc2=hc/\lambda - hc/\lambda'

The Attempt at a Solution



I've been provided with the solution using the formula above, however it looks like it's Eincident - Escattered ---or in other words initial minus final...isn't convention final-initial? Why do we subtract initial minus final in this case?
 
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The final is subtracted because the scattered photon will have a lower energy than the incident photon (since some of it has gone to the electron).
 
Apply conservation of energy to the situation.

This question really doesn't belong in the advanced physics section.
 

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