The Compton effect uses photons of higher energy than the photoelectric effect experiment which scatter from the surface. Lower energy photons in the photoelectric effect are absorbed by the surface.
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The photoelectric effect experiment uses photons with only a few eV of energy apiece, and these photons are absorbed by the surface. The Compton effect experiment uses photons with much higher energy (typically in the x-ray frequency range), hundreds to thousands of times greater, with correspondingly smaller wavelength. These photons are scattered from the electrons in the material, and emerge with a shorter wavelength.