Infographics / X-ray Physics

Compton scattering

An incident X-ray photon of energy E travels to the right and strikes a loosely bound outer-shell ("free") electron of an atom. The photon is deflected upward through angle theta as a scattered photon of lower energy E-prime (longer wavelength). A recoil (Compton) electron is ejected forward and downward through angle phi. A dashed line marks the original photon direction. Notes state that a larger scatter angle means greater photon energy loss (maximum at 180 degrees), the recoil electron stays in the forward hemisphere, a scattered photon always remains, and the interaction probability is proportional to electron density and nearly independent of atomic number Z.

Compton scattering interaction geometry An incident X-ray photon of energy E travels to the right and strikes a loosely bound outer-shell ("free") electron of an atom. The photon is deflected upward through angle theta as a scattered photon of lower energy E-prime (longer wavelength). A recoil (Compton) electron is ejected forward and downward through angle phi. A dashed line marks the original photon direction. Notes state that a larger scatter angle means greater photon energy loss (maximum at 180 degrees), the recoil electron stays in the forward hemisphere, a scattered photon always remains, and the interaction probability is proportional to electron density and nearly independent of atomic number Z. Compton scattering — interaction geometry original direction incident photon, energy E scattered photon E′ (E′ < E, longer wavelength) recoil (Compton) electron θ φ loosely bound outer-shell (effectively “free”) electron Larger scatter angle θ → more energy lost by the photon; maximum at 180° backscatter. Recoil electron is confined to the forward hemisphere (φ < 90°); the photon may scatter up to 180°. A scattered photon always remains (E′ > 0); complete absorption would be the photoelectric effect. Probability ∝ electron density (≈ physical density), nearly independent of atomic number Z. Per unit mass it falls slowly as photon energy rises, but dominates in soft tissue at diagnostic energies.

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