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Study of radiation damage in silicon detectors for high ... - F9

Study of radiation damage in silicon detectors for high ... - F9

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3. Ir<strong>radiation</strong> Facility 39Fission platerRzza)Figure 3.4: Dependence <strong>of</strong> the fast neutron ux on the distance from the ssion plate. a)Schematical presentation <strong>of</strong> the setup. b) Comparison <strong>of</strong> measurements [36] and calculations.<strong>of</strong> a calibration and an ir<strong>radiation</strong> measurement. Dur<strong>in</strong>g short calibration measurementsan In foil <strong>in</strong> a Cd shield 18 was placed at the sample position and a Zn foil was put<strong>in</strong> the middle <strong>of</strong> the box. After the ir<strong>radiation</strong>, the activation <strong>of</strong> Zn (thermal neutroncapture, decay time 244 days) was measured and compared to the uence <strong>of</strong> fast neutronsas determ<strong>in</strong>ed from the activation <strong>of</strong> In with a well known activation cross-section. In their<strong>radiation</strong> run only the Zn foil was placed at the same position as <strong>in</strong> the calibration run.By comparison <strong>of</strong> Zn activations <strong>in</strong> both runs, the ir<strong>radiation</strong> uence was determ<strong>in</strong>ed.The error <strong>of</strong> this method was estimated to be about 15%.Due to the limited size <strong>of</strong> the ssion plate, the fast neutron ux depends on thedistance from the plate. Dependance on the distance can be determ<strong>in</strong>ed by geometricalconsiderations (g. 3.4) 19 . The follow<strong>in</strong>g relation is obta<strong>in</strong>ed(z 1 )(z 2 )R2ln(1 + )z= 2 1ln(1 + )R2z 2 2(3.1)where R is the radius <strong>of</strong> the ssion plate and z the on-axis distance from it (g. 3.4a).Measurements were per<strong>for</strong>med at three dierent distances from the ssion plate: 3.5cm(218Cd shield was used to reduce In activation due to thermal neutrons.19From the collision probability P 1 = 4rwhere is a reaction cross-section and r distance from2the neutron source one obta<strong>in</strong>s reaction probability as its <strong>in</strong>tegral over the surface <strong>of</strong> the ssion plateP = R dNf:pl: dS P 1dS. From this ux dependence can be determ<strong>in</strong>ed by (z) = P = R dN 1f:pl: dS 4rdS =2dN 1dSln z2 +R24 z 2:

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