# Photoelectric effect

Last revised by Assoc Prof Frank Gaillard on 15 Dec 2020

Photoelectric effect or photoelectric absorption is one of the principal forms of interaction of x-ray and gamma photons with matter. A photon interacts with an inner shell electron in the atom and removes it from its shell.

##### Probability of photoelectric effect

The probability of this effect is maximum when:

• the energy of the incident photon is equal to or just greater than the binding energy of the electron in its shell (absorption or k edge) and
• the electron is tightly bound (as in K shell)

The electron that is removed is then called a photoelectron and the incident photon is completely absorbed in the process. Hence, the photoelectric effect contributes to the attenuation of the x-ray beam as it passes through matter.

To stabilize the atom an outer shell electron fills the vacancy in the inner shell. The energy which is lost by this electron as it drops to the inner shell is emitted as characteristic radiation (an x-ray photon) or as an Auger electron

The probability of photoelectric absorption occurring is

1. proportional to the cube of atomic number of the attenuating medium (Z), and
2. inversely proportional to the cube of the energy of the incident photon (E), and
3. proportional to the physical density of the attenuating medium (p)

Thus the overall the probability of photoelectric absorption can be summarized as follows:

Photoelectric absoption ~  p(Z³/E³)

Therefore if Z doubles, photoelectric absorption will increase by a factor of 8 (2³ = 8), and if E doubles photoelectric absorption will reduce by a factor of 8. Small changes in Z and E can therefore significantly affect photoelectric absorption. This has practical implications in the field of radiation protection and is the reason why materials with a high Z such as lead (Z = 82) are useful shielding materials. Photoelectric absorption is also utilized in mammography and when using contrast agents to improve image contrast. The dependence of photoelectric absorption on Z and E means that it is the major contributor to beam attenuation up to approximately 30 keV when human tissues (Z = 7.4) are irradiated. At beam energies above this, the Compton effect predominates.   Unable to process the form. Check for errors and try again. Thank you for updating your details.