PHYS 3330 Module 6.1

Photon Attenuation

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!