Calculating X-ray Photon Scattering: Change in Wavelength Explained

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SUMMARY

The discussion focuses on calculating the change in wavelength of X-ray photons during Compton scattering. The relevant equation used is Δλ = h/mc(1 - cosθ), where h is Planck's constant, m is the electron mass, and c is the speed of light. For Photon 1, scattered backwards, the change in wavelength is calculated as zero. For Photon 2, scattered at 90 degrees, the change in wavelength is also zero. For Photon 3, scattered at 45 degrees, the change in wavelength is calculated to be 8.666 x 10^-13 meters. The impact of reducing photon energy from 1.02 MeV to 0.51 MeV on these calculations is briefly noted but not fully explored.

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  • Understanding of Compton scattering principles
  • Familiarity with the equation Δλ = h/mc(1 - cosθ)
  • Knowledge of Planck's constant (h = 6.626 x 10^-34 J·s)
  • Basic understanding of photon energy in MeV
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Noirchat
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I'd really like some explanations please, just looking at part (a) at the moment :)

Homework Statement



Suppose three 1.02 MeV X-ray photons are Compton scattered by single collisions with nearly stationary electrons.
Photon 1 is scattered backwards, in the direction opposite to its original path.
Photon 2 is scattered at right angles to its original path.
Photon 3 is scattered in a direction 45° away from the forward direction.

(a) Calculate the change of wavelength for each case. Show your working.
(b) Suppose instead, the original photons energies were 0.51 MeV. What effect does this have on the values calculated above? Explain very briefly.

Homework Equations


None were given

The Attempt at a Solution



(a) I think i use Δλ=h/mc(1-cosθ)

Photon 1:

Photon 2:

6.626 X 10^-34/9.1094x10^-31 x 3x10^8 x (1-cos90

= 0

Photon 3:

6.626 X 10^-34/9.1094x10^-31 x 3x10^8 x (1-cos45)

= 8.666x10^-13
 
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Noirchat said:
I'd really like some explanations please, just looking at part (a) at the moment :)

Homework Statement



Suppose three 1.02 MeV X-ray photons are Compton scattered by single collisions with nearly stationary electrons.
Photon 1 is scattered backwards, in the direction opposite to its original path.
Photon 2 is scattered at right angles to its original path.
Photon 3 is scattered in a direction 45° away from the forward direction.

(a) Calculate the change of wavelength for each case. Show your working.
(b) Suppose instead, the original photons energies were 0.51 MeV. What effect does this have on the values calculated above? Explain very briefly.


Homework Equations


None were given


The Attempt at a Solution



(a) I think i use Δλ=h/mc(1-cosθ)
This would be a relevant equation. :wink:

Photon 1:

Photon 2:

6.626 X 10^-34/9.1094x10^-31 x 3x10^8 x (1-cos90

= 0

Photon 3:

6.626 X 10^-34/9.1094x10^-31 x 3x10^8 x (1-cos45)

= 8.666x10^-13
Did you have a specific question? Your answers are not correct, by the way.
 
vela said:
This would be a relevant equation. :wink:


Did you have a specific question? Your answers are not correct, by the way.

Great I'm on the right track then. Hmm I'm not sure why they're incorrect. Is it to do with the Compton constant?
 

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