quantum calculators

Compton Scattering Calculator

Calculate wavelength shift in Compton scattering

About this calculator

The Compton Scattering Calculator determines the wavelength shift that occurs when X-rays or gamma rays collide with electrons and scatter at different angles. This quantum mechanical phenomenon, discovered by Arthur Compton, demonstrates the particle nature of electromagnetic radiation. The calculator is essential for physics students, researchers, and professionals working in nuclear physics, medical imaging, and radiation detection to understand photon-electron interactions and energy transfers in scattering processes.

How to use

Enter the initial wavelength of the incident photon and the scattering angle in degrees. The calculator will compute the wavelength shift using the Compton scattering formula and display the final scattered wavelength. You can also input photon energy instead of wavelength for convenience.

Frequently asked questions

What is the Compton wavelength?

The Compton wavelength is a fundamental constant equal to 2.43 × 10⁻¹² meters, representing the wavelength shift when a photon scatters at 90 degrees from a stationary electron.

Why does wavelength increase after scattering?

The photon loses energy when it transfers some momentum to the electron during collision, resulting in lower frequency and longer wavelength according to quantum mechanics.

At what angle is wavelength shift maximum?

Maximum wavelength shift occurs at 180 degrees (backscattering), where the photon reverses direction and transfers the most energy to the electron.