The Compton Effect, or Compton scattering, is crucial in radiobiology as it represents the primary interaction of high-energy X-rays with atomic nuclei, particularly in radiation therapy. It is also significant in material physics for probing electron wave functions and is essential in gamma spectroscopy, where it leads to the Compton edge and necessitates Compton suppression techniques. In radiation health physics, Compton scattering is utilized in Monte Carlo simulations to assess radiation shielding effectiveness by calculating scattering angles and their impact on exposure rates. The discussion highlights the importance of specifying questions clearly to receive targeted information. Understanding the Compton Effect is vital for applications in medical and physical sciences.