# Compton-scattering problem

1. Feb 11, 2014

### asdf12312

1. The problem statement, all variables and given/known data
Photons of wavelength 59.0 pm are Compton-scattered from a free electron in an aluminum block, at 87.0° from the original direction. What energy (in electronvolts) has been imparted to each electron?

2. Relevant equations
$\frac{h}{mc}$ = 0.0024nm for e-
∇λ = $\frac{h}{mc}$ (1-cosθ)
hc = 1240 eV*nm

3. The attempt at a solution
I got as answer: 2.02 $\times$ 104eV (its wrong):

∇λ = 0.0024nm *(1-cos(87°)) = 0.0023nm
λ2 = λ1+∇λ = 0.059nm + 0.0023nm = 0.0613nm
E2 = hc/λ2 = 1240eV*nm / 0.0613nm = 2.02 $\times$ 104eV

Last edited: Feb 11, 2014
2. Feb 11, 2014

### asdf12312

figured out what i was doing wrong. nevermind