Compton Scattering
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Background
The Compton Effect (1922) demonstrates that massless photons possess momentum as well as quantized energy. Photon momentum and energy can be transferred to a stationary electron of mass m in an inelastic collision. Special relativity and quantum mechanics are essential to explain the change in frequency (equivalently wavelength) of the scattered photon and the motion of the electron.
Compton scattering is derived using conservation of energy and momentum, where the energy and momentum of a photon of frequency ν are taken as hν and hν/c, respectively. The rest energy of the electron is mc2 and it is assumed to have zero momentum prior to its interaction with the photon