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

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Now compute the expected rate for February 9, 2017
 
Now compute the expected rate for February 9, 2017
  
−
The activity on Feb 9, 2017 is  
+
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
  
 
Below is a table where the actual efficiency will be calculated for position R (farthest position).
 
Below is a table where the actual efficiency will be calculated for position R (farthest position).

Revision as of 21:35, 16 February 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

Below is a table where the actual efficiency will be calculated for position R (farthest position).

Run Source Energy (keV) Expected Rate (Hz) HpGe Rate (Hz) HpGe Det D Efficiency (%)
r5825 Na-22 511 79122.6 (480:540) (4.309-0.065=4.244) 0.005
r5826 Na-22 511 28091.2 (480:540)(1.105-0.02281=1.0821) 0.004
r5827 Na-22 511 861.1 (480:540)(0.04037-0.009123=0.031247) 0.004
r5829 Na-22 511 137692 (480:540)(3.686-0.01939=3.67) 0.003
r5830 Na-22 511 44224 (480:540) (1.073-0.0057=1.0673) 0.002
r5831 Na-22 511 139058.52 (480:540)(3.283-0.05702=3.22598) 0.002
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