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Derive an expression for the interaction between a photon incident on a nearly-free electron in an...

Derive an expression for the interaction between a photon incident on a nearly-free electron in an aluminum target. Make sure to consider conservation of both relativistic energy and momentum for the photon and electron before and after the interaction. If an incident photon has an energy of 662 keV, calculate the energy of the photon that is scattered through an angle of 35˚.

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