When compton wavelength is equal to compton shift?

The Compton wavelength is defined as (\lambda_C = \frac{h}{m_ec}), where (h) is Planck's constant, (m_e) is the electron mass, and (c) is the speed of light. The Compton shift occurs when a photon collides with a particle, resulting in a change in the photon’s wavelength. The two are equal when the scattering angle results in a wavelength shift equal to the Compton wavelength of the particle involved, which typically occurs in high-energy photon interactions with electrons. This condition highlights the wave-particle duality of light and its interactions with matter.