LB May 2017 Det A Efficiency: Difference between revisions
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Ba-133, 10.54 uCi on July 1, 2008, half life 10.51 years, 32.9% for 80.9979 keV line, 18.34% for 302.8508 keV line, 62.05% for the 356.0129 keV line. The sample serial # 129791 had an activity of | Ba-133, 10.54 uCi on July 1, 2008, half life 10.51 years, 32.9% for 80.9979 keV line, 18.34% for 302.8508 keV line, 62.05% for the 356.0129 keV line. The sample serial # 129791 had an activity of 5.87 uCi on May 27, 2017 | ||
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:= <math>\left (0.99937 \right )\left ( 3.924 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 145096.5316 Hz </math> for the 1274 keV line | := <math>\left (0.99937 \right )\left ( 3.924 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 145096.5316 Hz </math> for the 1274 keV line | ||
:= <math>\left (1.788 \right )\left ( 3.924 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 259596.144 Hz </math> for the 511 keV line | := <math>\left (1.788 \right )\left ( 3.924 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 259596.144 Hz </math> for the 511 keV line | ||
=Actual Efficiency= | =Actual Efficiency= | ||
Revision as of 22:07, 22 August 2017
Theoretical Activities
Ba-133, 10.54 uCi on July 1, 2008, half life 10.51 years, 32.9% for 80.9979 keV line, 18.34% for 302.8508 keV line, 62.05% for the 356.0129 keV line. The sample serial # 129791 had an activity of 5.87 uCi on May 27, 2017
- = [math]\displaystyle{ \left (0.99937 \right )\left ( 3.947 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 145,946 Hz }[/math] for the 1274 keV line
- = [math]\displaystyle{ \left (1.788 \right )\left ( 3.947 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 261,117.732 Hz }[/math] for the 511 keV line
Now compute the expected rate for February 5, 2017.
The activity on Feb 5, 2017 is 3.944 uCi, so the expected rates for the 2 lines are
- = [math]\displaystyle{ \left (0.99937 \right )\left ( 3.944 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 145,836 Hz }[/math] for the 1274 keV line
- = [math]\displaystyle{ \left (1.788 \right )\left ( 3.944 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 260919.264 Hz }[/math] for the 511 keV line
Now compute the expected rate for February 9, 2017
The activity on Feb 9, 2017 is 3.933 uCi, so the expected rate for the 2 lines are
- = [math]\displaystyle{ \left (0.99937 \right )\left ( 3.933 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 145,429.32 Hz }[/math] for the 1274 keV line
- = [math]\displaystyle{ \left (1.788 \right )\left ( 3.933 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 260,191.55 Hz }[/math] for the 511 keV line
Now compute the expected rate for Feb 12, 2017
The activity on Feb 12, 2017 is 3.924 uCi, so the expected rate for the 2 lines are
- = [math]\displaystyle{ \left (0.99937 \right )\left ( 3.924 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 145096.5316 Hz }[/math] for the 1274 keV line
- = [math]\displaystyle{ \left (1.788 \right )\left ( 3.924 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 259596.144 Hz }[/math] for the 511 keV line
Actual Efficiency
| Run | Source | Energy (keV) | Position | Expected Rate (Hz) | ROOT Window | HpGe Rate (Hz) | HpGe Detector A Efficiency (%) |