Why is the formula for Compton scattering not affected by binding energy?

In summary, the formula for Compton scattering does not include the binding energy for an electron to the nucleus because it assumes that the electron is free and the binding energy is equal to zero. This is a good approximation since the energy of the X-ray or gamma-ray photons used in Compton scattering is much higher than the original binding energy of the electrons. Thus, the scattered electron can have a continuous range of energies from 0 to h/mc and is not quantized.
  • #1
LocationX
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Why is it that the formula for compton scattering does not include the binding energy for an electron to the nucleus? Seems like the scattered electron can have a continuous range of energies from 0 to h/mc. Why isn't this quantized?
 
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  • #2
LocationX said:
Why is it that the formula for compton scattering does not include the binding energy for an electron to the nucleus? Seems like the scattered electron can have a continuous range of energies from 0 to h/mc. Why isn't this quantized?

because in the formula one assumes that the electron is free, i.e. binding energy = 0.
 
  • #3
Note that with the Compton effect we are using X-ray photons (energy = several 10's of keV) or gamma-ray photons (100's of keV), whereas the original binding energies of the electrons are a few eV. So it's a good approximation to consider the electrons as "free."
 

Related to Why is the formula for Compton scattering not affected by binding energy?

1. What is Compton scattering?

Compton scattering is a physical phenomenon in which a photon (electromagnetic radiation) collides with an electron, resulting in the photon losing some of its energy and changing direction.

2. How does Compton scattering occur?

Compton scattering occurs when a high-energy photon interacts with a free electron, typically in an atom or molecule. The photon transfers some of its energy to the electron, causing it to recoil and emit a lower-energy photon in a different direction.

3. What is the significance of Compton scattering in physics?

Compton scattering is an important concept in quantum mechanics and is used to explain the behavior of electromagnetic radiation. It also has applications in fields such as astronomy, medical imaging, and particle physics.

4. How is Compton scattering different from other types of scattering?

Compton scattering differs from other types of scattering, such as Thompson scattering, in that it involves a change in energy and direction of the photon. It also takes into account the wave-particle duality of photons and their ability to behave as both particles and waves.

5. Can Compton scattering be observed in everyday life?

Yes, Compton scattering can be observed in everyday life in various ways, such as in X-ray imaging, gamma-ray spectroscopy, and the blue color of the sky. It also plays a role in the formation of rainbows and the color of gemstones.

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