Compton hit the electrons in a carbon target with x-rays and measured the changes in the wavelengths of the scattered photons versus their deflected angle. He correlated that with the energy and momentum the incident photon gave to the electron. My question is why does this not happen in mirrors? AFAIK there is no red-shift in the much lower energy photons reflected from an ordinary mirror. Is no energy and momentum given to the electrons in the mirror? What is the difference in these cases?