Complete Solutions Manual to Radiation Detection and by Glenn F. Knoll

By Glenn F. Knoll

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Field tube function. The function of the field tube is to reduce the electric field near the ends of the tube where distortions in the electric field would occur (particularly near corners). 10. Photoelectric cross section discontinuities at shell energies The discontinuities are absorption edges corresponding to the binding energies of electrons in K, L, M, etc. shells in the absorber atoms (with K being the tightest bound, and so it occurs at the highest energy). If the gamma energy is above an absorption edge, photoelectric absorption can occur with higher probability the closer the gamma energy is to an electron's binding energy.

3 Μs, and the tube's quiet time is 900 Μs, while the resolving time is 350 Μs. a). 3 Μs. We will call this our limiting rate, n. From Eqn. 70, we know that the probability of zero events occurring during a time interval t is e�nt , where n is the true event rate we are interested in. So the probability that one or more events will occur during t is 1 - e�nt . 05), and we solve it for n (our limiting rate), giving the appropriate value of the time interval t (in seconds). 3 106 to get the limiting event rate in sec�1 .

D>>a). The formula for the correct solid angle calculation is: �correct � 2 Π 1� d a2 � d 2 and the formula for the approximate calculation is: �approx � Π a2 d2 Next, we plug our known values d = 20 cm and a = 5 cm into �correct to get the correct value of the solid angle (in steradians). 188 steradians Now, we plug our known values d=20cm and a=5cm into �approx to get the approximate value of the solid angle (in steradians). 196 steradians The approximate value is not far off from the correct value, indicating that using the approximate calculation is appropriate in this case.

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