Compton Shift Calculator
Compute scattered X-ray wavelength/energy after Compton scattering.
Input Data
Incident Wavelength M
m
Scattering Angle Deg
°
Results
Shift in pm.
2.42631pm
Scattered wavelength.
73.42631pm
Incident energy.
17.462563keV
Scattered energy.
16.885528keV
Recoil electron KE.
0.577036keV
At a glance:λ' = λ + λ_c(1−cosθ); scattered energy from λ'. Complements compton-scattering and photon-energy.
Formula
λ' = λ + λ_c(1 − cosθ).
$$\Delta\lambda = \lambda_C\,(1-\cos\theta),\quad \lambda_C = \frac{h}{m_e c}$$$$\lambda' = \lambda_0 + \Delta\lambda$$$$E = \frac{hc}{\lambda}, \quad K_e = E_0 - E'$$How to Use
- Enter incident λ and angle.
- The tool returns scattered λ and energies.
Case Studies
λ=0.0243 nm (100 keV), θ=90°
Δλ=2.43 pm, E'≈97.8 keV.
FAQ
Energy to wavelength?
λ = hc/E.
Related Tools
References
Content review: Calculatorism Editorial Team. Results are for reference only; please refer to the relevant authorities for the official figures.