the compton effect or the compton scatter

this presentation is for a brief discussion about the compton scatter

1. The compton effect Presented by: Sehrish Inam, Lecturer Physics

2. Table of contents Introduction Figure Discussion Equation

3. Compton scatter When X-rays are scattered due to interaction with a light body such as an electron, the scattered rays exhibit lower frequencies than the incident radiation. Arthur C ompton studied this phenomenon in 1926. It provides a solid support for photon theory of light.

4. Compton scatter Assumptions Energy of incoming photon, E = h 𝜈 Electron to be targeted is considered at rest.

5. Compton scatter

6. Compton scatter Figure shows interaction of photon and electron and their scatter. Electron is treated at rest. Photon interacts with electron with frequency 𝜈 and is scattered at an angle θ with a lower frequency 𝜈 ’ . The photon energies before and after collision are h𝜈 and h𝜈 ’ Momentum before and after collision are and respectively.  

7. Compton scatter Energy and momentum of the recoiled electron E and P respectively. To get equation for compton scatter wavelength we apply law conservation of energy and momentum. Conservation of momentum along the line of impact: = Cos θ + pCos ϕ --------------------(1) 0 = Sin θ - p Sin ϕ -----------------------(2)  

8. Compton scatter Conservation of energy before and after collision: h 𝜈 + m o c = h 𝜈 ’ + E -------------------------(3) - = Cos θ )--------------------(4) Using relation 𝜈 = c/ λ equ 4 reduces to λ ’ - λ = Cos θ ) ----------------------(5) Equation 5,gives the measure of increase in wavelength of scattered photon.  

9. Compton scatter The quantity in compton equation is called compton wavelength. λ c = = 2.426exp-12m