PhysicsClassical Physics

Diffusion Compton (Compton Scattering): A 71 pm X-Ray at 30°

Solve the 30° Compton-scattering wavelength shift for a 71 pm X-ray and identify the maximum shift at backscattering.

Question

X-rays of wavelength 71 pm strike a calcite target. (a) Calculate the wavelength of a photon scattered through 30°. (b) Determine the greatest wavelength increase possible in this experiment.

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Evidence boundary

This uses the electron-at-rest Compton-scattering model underlying OpenStax Example 6.8, with its rounded 2.43 pm Compton wavelength. The 30° example is separate from the neighboring 60° check question. Numerical wavelengths describe the model, not measured calcite data; displayed extra digits expose the small shift.