Difference between revisions of "LB Feb 2017 Geometric Efficiency Calculations"

From New IAC Wiki
Jump to navigation Jump to search
Line 50: Line 50:
 
||r5827 || Na-22 || 1274 || 7 || 145946 || [1240:1300] || 60.24 || 0.04
 
||r5827 || Na-22 || 1274 || 7 || 145946 || [1240:1300] || 60.24 || 0.04
 
|-
 
|-
||r5828 || Na-22 || 511 || 8 ||  || [480:540] || 157.2 || 0.06
+
||r5828 || Na-22 || 511 || 8 ||260919.264 || [480:540] || 157.2 || 0.06
 
|-
 
|-
||r5828
+
||r5828 || Na-22 || 1274 || 8 ||
 
|-
 
|-
 
||r5833
 
||r5833
 
|-
 
|-
 
|}
 
|}

Revision as of 22:06, 4 March 2017

Below are the theoretical calculations for the theoretical decay frequencies


Na-22, 10.19 uCi on July 15, 2013, half life 2.602 +/- 0.002 years, 99.937% for 1274.52 keV line and 178.8 for 511 keV line , activity in Feb 4, 2017 = 3.947 uCi

= [math]\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]\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]\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]\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]\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]\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]\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

Geometric Efficiencies

Below is a table with the calculated efficiencies

Run Source Energy (keV) Position Expected Rate (Hz) ROOT Window HpGe Rate (Hz) HpGe X-Cool Detector Efficiency (%)
r5825 Na-22 511 5 261117.732 [480:540] 225.5 0.09
r5825 Na-22 1274 5 145946 [1240:1320] 76.09 0.05
r5826 Na-22 511 6 261117.732 [480:540] 223.1 0.09
r5826 Na-22 1274 6 145946 [1232:1320] 75.72 0.05
r5827 Na-22 511 7 261117.732 [480:540] 175.6 0.07
r5827 Na-22 1274 7 145946 [1240:1300] 60.24 0.04
r5828 Na-22 511 8 260919.264 [480:540] 157.2 0.06
r5828 Na-22 1274 8
r5833