for energy. Or, if preferred, the same expression for momentum may be deduced easily from the established laws of light-pressure.
The qualitative results of the preceding assumptions are immediately seen to be as follows. The light-quanta, by colliding with the free electron necessarily transfers some of its energy to it, and therefore, if it arrives with the energy
, it must recoil from the impact at some angle
with a smaller energy
, and therefore a lower frequency
, than that with which it impinged. In other words, light waves should be changed from a higher frequency to a lower—from blue toward red—by impact with a free electron.