The Klein-Nishina formula describes the differential cross section for Compton scattering. In LaTeX, the formula is \frac{d\sigma}{d\Omega} = \frac{\hbar^2 \alpha^2}{2 m^2 c^2} (\frac{\omega_f}{\omega_i})^2 (\frac{\omega_f}{\omega_i} + \frac{\omega_i}{\omega_f} - \sin^{2}\theta )

Notices where this attachment appears

1. Robert McNees (mcnees@mastodon.social)'s status on Tuesday, 06-Dec-2022 15:04:03 UTC Robert McNees

   in reply to

   Klein and Nishina derived the differential cross section for Compton scattering — a photon bouncing off a charged particle like an electron — at lowest order in Quantum Electrodynamics.

   Besides the various relevant constants like Planck's constant ℏ, the fine structure constant ɑ, the electron mass m, and the speed of light c, the differential cross section depends on the photons' initial and final energy and its scattering angle.

   We now refer to their result as the Klein-Nishina formula: