What are the differences between Compton scatter and the photoelectric effect in terms of their interactions with matter?

Compton scatter occurs when a photon collides with an outer electron, causing the photon to lose energy and change direction. The photoelectric effect, on the other hand, involves a photon being absorbed by an inner electron, causing the electron to be ejected from the atom. In terms of interactions with matter, Compton scatter is more likely to occur with higher energy photons and heavier elements, while the photoelectric effect is more prominent with lower energy photons and lighter elements.