The Compton effect is the increase in wavelength of X-rays or gamma rays when scattered by electrons.A photon hits an electron — like a billiard ball hitting another ball. After the collision, the photon changes direction and loses energy, its wavelength increases. This shift is direct proof that light has momentum, like particles.
Arthur Holly Compton, working at Washington University in St. Louis, in 1922–1923 performed experiments on scattering of monochromatic X-ray radiation on targets of graphite and other light elements. He recorded a shift in the wavelength of scattered radiation, which was perfectly described by his derived formula based on the laws of conservation of energy and momentum using Einstein's photon model. The data obtained immediately convinced the physics community of the reality of light quanta, and in 1927 Compton was awarded the Nobel Prize.
The effect is used in Compton spectrometers for non-destructive testing of materials, in Compton cameras for medical imaging (single-photon emission computed tomography). In astrophysics, the inverse Compton effect (high-energy electrons transfer energy to photons) explains the X-ray emission from active galactic nuclei and the cosmic microwave background. Limits of applicability: the formula is valid for a free electron; when scattering on bound electrons in atoms, the line profile becomes complicated by Doppler broadening and binding effects.
The Compton effect convinced the scientific world that light is not only a wave but also a stream of particles; this brought Compton the Nobel Prize in 1927.
| A(\theta) | variable | Modulation factor — modulation factor |
| \theta | variable | Scattering angle — angle radian |
| \sin | operator | Trigonometric sine function — sine |
| \cos | operator | Trigonometric cosine function — cosine |
















