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The Compton Effect

"Human beings, vegetables, or cosmic dust, we all dance to a mysterious tune intoned in the distance by an invisible player" - Albert Einstein ( 1879 - 1955 )

The Compton Effect is whenever an incoming gamma ray - photon ( monochromatic beam of x - rays or gamma rays ) hits a stationary electron, where part of the photon's energy is transferred to the released electron with the consequent result of the scattered gamma ray- photon having a lower energy level as well as concomitant lower frequency and longer ( increased ) wavelength. The collision will have enough energy to make a new wave-particle of the same type, in this case another electron. This is all summarized by Planck's relationship:

Planck's relationship

[ note: The Inverse Compton Effect occurs whenever a photon gains energy from an incoming high velocity, high energy electron and thereby achieves a higher energy level as well as a shorter ( decreased ) wavelength and a higher frequency of radiation. ]

Gamma ray gamma.png - photons are the most energetic form of light [ shortest electromagnetic wavelengths, highest energy ] having energies in excess of 100+ KeV and are the source of Gamma - Ray Bursts ( GRBs ), lasting from milli - fractions of a second to several minutes and shining a million trillion times brighter than the Sun at the heart of supernovae in other distant galaxies.


§ Compton Effect:

compton wave diagram

§ Energy and Momentum Conservation Laws:

Arthur H. Compton


Compton Effect

§ Deconstructing Compton Effect Momenta ( abstracting from above ):

deconstructed compton wave

deconstructed compton wave equations                           

In the x - and y - directions, the deconstructed components of total momentum are: 

compton law of conservation of momentum

Arthur H. Compton deconstructed wave directions

The total composition of x - direction for compton gamma ray momentum components are additive and positive because compton gamma ray - photon is traveling completely in x - direction along an orthogonal x - axis.

The total composition of y - direction for compton gamma ray momentum components is set to zero because compton gamma ray - photon has no y - direction.

Compton Wave Effect

§ Compton Momentum Scattering - Analysis:

(1). Conservation of Momentum:

compton's scattered electron momentum

(2). Conservation of Energies:

compton's law of conservation of energies

(3). Combiningcompton's law of conservation of momentum from both conservation laws:

compton wavelength

trignometric identities

Gamma Ray Burst

Compton Wave Effect

§ Compton Energy Scattering - Analysis:

We know from our earlier momentum scattering analysis when an compton gamma ray - photon ( x - ray or gamma ray ) hits a free atomic electron compton gamma ray electron that the following deconstructed components of total momentum and energies are true:

Compton energy scattering

In other words, compton gamma ray - photons which scatter off free atomic electrons compton gamma ray electron will experience changes in both direction and energy ( frequency ) levels.

Compton Wave Effect

§ More about Compton Wavelength:

electron compton wavelength

Other Compton Wavelengths are

compton wavelengths

sources: 1). The NIST Reference on Constants, Units, and Uncertainty

2). National Institute of Standards and Technology

§ Compton Wavelength and Heisenberg's Uncertainty Principle:

Compton wavelength-Heisenberg Uncertainty Principle

§ References:

relativity science  "A Quantum Theory of the Scattering of X - rays by Light Elements", by Arthur H. Compton, The Physical Review, Second Series, May, 1923, Vol. 21, No. 5, pgs. 483 - 502

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