Photon Attenuation

Recommended Reading
Learning Objectives
By the end of this section, you will be able to:
- Describe the exponential behavior of photon attenuation and connect it to the principles learned in 4: Exponential Behaviors.
- Calculate and interpret the linear and mass attenuation coefficients for different materials.
- Understand and calculate the mean free path and half-value layer for X-rays and gamma rays in various substances.
Exponential Attenuation of Photons
Half-Value Layer: HVL
NIST Standard Reference Database 126: X-Ray Mass Attenuation Coefficients
Tables and graphs of the photon mass attenuation coefficient μ/ρ and the mass energy-absorption coefficient μen/ρ are presented for all of the elements Z = 1 to 92, and for 48 compounds and mixtures of radiological interest. The tables cover energies of the photon (x-ray, gamma ray, bremsstrahlung) from 1 keV to 20 MeV. The μ/ρ values are taken from the current photon interaction database at the National Institute of Standards and Technology, and the μen/ρ values are based on the new calculations by Seltzer described in Radiation Research 136, 147 (1993). These tables of μ/ρ and μen/ρ replace and extend the tables given by Hubbell in the International Journal of Applied Radiation and Isotopes 33, 1269 (1982).
Effective Attenuation Coefficient

Practice!
| Practice 6.1.1 |
|---|
| What fraction of 200 keV x-ray photons remains after penetrating a lead sheet with a thickness of 2.0 mm, given that the linear attenuation coefficient for these x-rays in lead is 1.0 × 103 m-1? |
| A. 0.368 |
| B. 0.135 |
| C. 0.865 |
| D. 0.632 |

Discuss!
Determine the HVL for 200 keV x rays in lead, aluminum, and water.
Repeat for 2 MeV gamma rays.