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## Compton scattering
In physics, The effect is important because it demonstrates that light cannot be explained purely as a wave phenomenon. Thomson scattering, the classical theory of an electromagnetic wave scattered by charged particles, cannot explain any shift in wavelength. Light must behave as if it consists of particles in order to explain the Compton scattering. Compton's experiment convinced physicists that light can behave as a stream of particles whose energy is proportional to the frequency. The interaction between electrons and high energy photons results in the electron being given part of the energy (making it recoil), and a photon containing the remaining energy being emitted in a different direction from the original, so that the overall momentum of the system is conserved. If the photon still has enough energy left, the process may be repeated. If the photon has sufficient energy (in general a few eV, right around the energy of visible light), it can even eject an electron from its host atom entirely (a process known as the Photoelectric effect). ## Additional recommended knowledge
## The Compton shift formula
*See also: Klein-Nishina formula*
Compton used a combination of three fundamental formulas representing the various aspects of classical and modern physics, combining them to describe the quantum behavior of light. - Light as a particle, as noted previously in the photoelectric effect.
- Relativistic dynamics: special theory of relativity
- Trigonometry: law of cosines
The final result gives us the where - is the wavelength of the photon
**before**scattering, - is the wavelength of the photon
**after**scattering, *m*_{e}is the mass of the electron,- is the angle by which the photon's heading changes,
*h*is Planck's constant, and*c*is the speed of light.
- is known as the Compton wavelength.
## DerivationBegin with energy and momentum conservation: - where
- and are the energy and momentum of the photon and
- and are the energy and momentum of the electron.
## Solving (1)Now we fill in for the energy part: We solve this for p ## Solving (2)Rearrange equation (2) and square it to see ## Putting it togetherThen we have two equations for (eq 3 & 4), which we equate: Now, one simplifies. First by multiplying both sides by Next, multiply out the right-hand side: A few terms cancel from both sides, so we have Then divide both sides by ' − 2 Now divide both sides by Now the left-hand side can be rewritten as simply This is equivalent to the so that finally, ## Applications## Compton scatteringCompton scattering is of prime importance to radiobiology, as it happens to be the most probable interaction of high energy X rays with atomic nuclei in living beings and is applied in radiation therapy. In material physics, Compton scattering can be used to probe the wave function of the electrons in matter in the momentum representation. Compton scattering is an important effect in gamma spectroscopy which gives rise to the Compton edge, as it is possible for the gamma rays to scatter out of the detectors used. Compton suppression is used to detect stray scatter gamma rays to counteract this effect. ## Inverse Compton scatteringInverse Compton scattering is important in astrophysics. In X-ray astronomy, the accretion disk surrounding a black hole is believed to produce a thermal spectrum. The lower energy photons produced from this spectrum are scattered to higher energies by relativistic electrons in the surrounding corona. This is believed to cause the power law component in the X-ray spectra (0.2-10 keV) of accreting black holes. The effect is also observed when photons from the cosmic microwave background move through the hot gas surrounding a galaxy cluster. The CMB photons are scattered to higher energies by the electrons in this gas, resulting in the Sunyaev-Zel'dovich effect. ## See also- Thomson scattering
- Klein-Nishina formula
- Photoelectric effect
- Pair production
- Timeline of cosmic microwave background astronomy
- Peter Debye
- Walther Bothe
- List of astronomical topics
- List of physics topics
- Washington University in St. Louis (Site of discovery)
Categories: Atomic physics | Foundational quantum physics | X-rays | Scattering |
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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Compton_scattering". A list of authors is available in Wikipedia. |