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1. Shielding Biological shielding
Reactor shielding
2. Build-up factors Attenuation is easy because you assume that the g-rays disappear with each interaction
Where m is the total attenuation coefficient at E0
3. What really happens Compton effect - the photon is scattered with a loss of energy
Pair production incident photon is absorbed x-rays are produced
Photoelectric effect - 0.511 keV (annihilation radiation is inevitable)
4. The shield Before After
5. So here comes the fudge Ok it’s not really a fudge factor. Several very talented scientist solved the really ugly problem for several materials and geometries to get
Bm(ma) - build-up factor
6. Build-up flux Planar (mono) source Point (isentropic) source
7. Definitions fb- build-up flux
fu- uncollided flux
f0 - initial flux
Bm(ma) or BR(mR) - build-up factor
Table 10.1 for a plane
Table 10.2 for isotropic point source
8. Biological shield Exposure rate mR/hr
9. Other geometries Infinite planar
Disc
Line
Internal source - results from neutron activation of the shield
Multilayered shields
10. Reactor shielding Slow the fast neutrons down to an energy where the absorption cross sections is larger
Coolant activation
Gamma rays
Point water kernel
Removal cross section
Half thickness
Mean free paths thick
Radiation streaming
11. Why is it so so hard Many energies
Every direction
In the real world Nuclear engineers use MONTE CARLO