Photons that retain energy after interacting with an electron via the photoelectric effect are said to undergo Compton scattering.  if a photon has any amount of energy greater than the applicable photoelectric work function, it can theoretically undergo Compton scattering.  visible light can Compton scatter. However, the probability of Compton scattering at these energies is very low, not to mention these scattered photons would most likely loose all of their energy from all of the other various available atomic interactions before they could even escape the sample, which is a necessary component to measurement (something has to exist in order to be measured). Therefore, the effects of Compton scattering are negligible at visible light energies.light. These kinds of energies are associated with x-rays.
The energy of the photon also determines the momentum of photon. i.e., High energy photon is a high momentum photon.
In compton effect, an electron recoils after a collision with a photon and this recoil acts like a classical collision of angular momentum.
A visible photon has much energy than X-ray and hence much less momentum.
Hence, visible light cannot demonstrate compton effect.
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