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Radiation Detection and Measurement, JU, First Semester, 2010-2011 (Saed Dababneh). 1 Radioactivity HW 7 How can the element 106 (seaborgium) in general be produced? What makes 14 C famous? What is the medical importance of 18 F? Comment on 152 Dy. How can its gamma decay be measured?
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Radiation Detection and Measurement, JU, First Semester, 2010-2011 (Saed Dababneh). 2 Radioactivity ≡ decay constant. It does not change with time, and does not depend (to a good approximation) on any environmental factors. (It does in extreme cosmic conditions. How?). Compare to human life time!!! HW 8
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Radiation Detection and Measurement, JU, First Semester, 2010-2011 (Saed Dababneh). 3 Show that the mean lifetime. N is difficult to measure. Instead, measure N ≡ number of decays between t and t + t : t << (i.e. << t 1/2 ) If t << (i.e. << t 1/2 ) then show that and thus defining the activity A(t ): RadioactivitySlope=?!!!!!!!!!! Be careful. Krane Ch 6 HW 9
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Radiation Detection and Measurement, JU, First Semester, 2010-2011 (Saed Dababneh). 4 Radioactivity HW 10 Krane Problem 6.1
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Radiation Detection and Measurement, JU, First Semester, 2010-2011 (Saed Dababneh). 5 Radioactivity Activity measured in units of becquerel (Bq) = 1 decay/s. 1 curie (Ci) = 3.7 x 10 10 Bq. Activity is not dose!!!!! Isotope 1 (initial number N 0 ) decays into “stable” isotope 2: In order to measure using the exponential decay curve: The half-life should be not too long; we need to see the sample decaying!!! Actually we can use provided this information is available. The half-life should be not too short; we need to do a series of measurements!! But there are other alternatives!! 1 should not be produced, 2 should not be radioactive. Krane 7.8
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Radiation Detection and Measurement, JU, First Semester, 2010-2011 (Saed Dababneh). 6 Radioactivity Exponential decay of species 1 and exponential growth of species 2.
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Radiation Detection and Measurement, JU, First Semester, 2010-2011 (Saed Dababneh). 7 Radioactivity
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Radiation Detection and Measurement, JU, First Semester, 2010-2011 (Saed Dababneh). 8 Radioactivity 847 keV 1811 keV 56 Mn In order to measure t 1/2 when it is not too long and not too short compared to practical experimental time, use the exponential decay curve. Are they in cascade? Coincidence summing!! Which line to measure?
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Radiation Detection and Measurement, JU, First Semester, 2010-2011 (Saed Dababneh). 9 If t 1/2 is too long, How can we measure N? If t 1/2 is too short, multiscaling or coincidences or Doppler or..! Multiscaling Multiscaling, dwell time, accept logic pulses, register number of logic pulses during dwell time in successive channels decay curve. If t 1/2 is less than 1 ms, need high activity, detector and electronics maximum count rate!! say 10 5 /s, dwell time 1 ms, maximum counts per channel = 100 bad statistics!! Coincidences….. Doppler……. Doppler……. Radioactivity HW 11 Specific activity. Project 3
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Radiation Detection and Measurement, JU, First Semester, 2010-2011 (Saed Dababneh). 10 RadioactivityTAC TAC
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Radiation Detection and Measurement, JU, First Semester, 2010-2011 (Saed Dababneh). 11 Radioactivity If parent nucleus decays by two modes: Derive.
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Radiation Detection and Measurement, JU, First Semester, 2010-2011 (Saed Dababneh). 12 Radioactivity two If we measure gross activity for a sample containing two isotopes. Better, and if possible, measure each isotope separately using its signatures with suitable spectroscopic techniques. We will encounter such techniques later in this course.
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