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Introduction to Health Physics: Fourth Edition - Ruang Baca FMIPA UB

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180 CHAPTER 5<br />

Figure 5-19. Total Comp<strong>to</strong>n cross section for a free electron.<br />

pho<strong>to</strong>disintegration results in neutron production and neutrons can be absorbed<br />

by many materials and can make them radioactive. Generally, the cross sections<br />

for pho<strong>to</strong>disintegration are very much smaller than the <strong>to</strong>tal cross section given in<br />

Eq. (5.46). In many shielding calculations, therefore, the pho<strong>to</strong>disintegration cross<br />

sections are usually considered insignificant and are neglected. High-energy accelera<strong>to</strong>rs,<br />

however, produce copious amounts of high-energy (>10 MeV) pho<strong>to</strong>ns.<br />

Pho<strong>to</strong>nuclear reactions, therefore, become important in shielding design.<br />

Pho<strong>to</strong>disintegration is a threshold reaction because the energy added <strong>to</strong> the absorber<br />

nucleus must be at least equal <strong>to</strong> the binding energy of a nucleon. Furthermore,<br />

a neutron is preferentially emitted rather than a pro<strong>to</strong>n because it has no<br />

coulombic potential barrier <strong>to</strong> overcome in order <strong>to</strong> escape from the nucleus and<br />

hence has a lower threshold. The range of energy thresholds for pho<strong>to</strong>disintegration<br />

by neutron emission varies from 1.67 MeV for beryllium <strong>to</strong> about 8 MeV. For light<br />

nuclei, the thresholds fluctuate unsystematically; in the range of a<strong>to</strong>mic mass numbers<br />

20–130, the thresholds increase slowly <strong>to</strong> about 8.5 MeV and then decreases<br />

slowly <strong>to</strong> about 6 MeV as the a<strong>to</strong>mic mass numbers increase. Quantum energies<br />

greater than the threshold appear as kinetic energy of the emitted neutrons or,<br />

if great enough, may cause the emission of charged particles from the absorber<br />

nucleus.<br />

Combined Effects<br />

The attenuation coefficients or cross sections give the probabilities of removal of<br />

a pho<strong>to</strong>n from a beam under conditions of good geometry, where it is assumed<br />

that any of the possible interactions remove the pho<strong>to</strong>n from the beam. The <strong>to</strong>tal<br />

attenuation coefficient, therefore, is the sum of the coefficients for each of the three<br />

reactions discussed above:<br />

μt = μpe + μCs + μpp, (5.46)

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