Difference between revisions of "Feb 2017 Geometric Efficiency Calculations"

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(Created page with "Below are the theoretical calculations for the theoretical decay frequencies Na-22, 9.427micro Ci on July 1, 2008, half life 2.602 +/- 0.002 years, 99.937% for 1274.52 and 178.8…")
 
 
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Na-22, 9.427micro Ci on July 1, 2008, half life 2.602 +/- 0.002 years, 99.937% for 1274.52 and 178.8 for 511 line , activity in March 31, 2016 =1.196micro Ci
 
Na-22, 9.427micro Ci on July 1, 2008, half life 2.602 +/- 0.002 years, 99.937% for 1274.52 and 178.8 for 511 line , activity in March 31, 2016 =1.196micro Ci
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:= <math>\left (0.99937 \right )\left ( 1.196 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 44,224 Hz </math> for the 1274 line
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:= <math>\left (1.788 \right )\left ( 1.196 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)=  79122.6 Hz </math> for the 511 line
 
:= <math>\left (1.788 \right )\left ( 1.196 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)=  79122.6 Hz </math> for the 511 line
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Cs-137, 661.660 line, 85.21% * 1.066micro Ci on July 1, 2008, half life 30.0 +/- 0.2 yrs, March 31, 2016 activity = 0.891micro Ci expected rate for 661 line
 
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:= <math>\left (0.8521 \right )\left ( 0.891 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 28091.2 Hz </math>
 
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Mn-54, 11.77 microCi  on July 1, 2008, half life =312.20 +/- 0.07 days, 99.975% intensity on 834.826 , March 31, 2016 activity =0.02328micro Ci
 
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:= <math>\left (0.99975 \right )\left ( 0.02328 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)=  861.1 Hz </math> for the 834 line
 
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Co-60, 10.42micro Ci July 1, 2008, half life 5.271 +/- 0.001 years, 99.0 % for 1173.237 and 99.9824 % for 1332.501, March 31, 2016 activity=3.759micro Ci
 
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:= <math>\left (0.99 \right )\left ( 3.759 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)=  137692.17 Hz </math> for the 1173 line
 
  
  
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:= <math>\left (0.999824 \right )\left ( 3.759 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)=  139058.52 Hz </math> for the 1332 line
 
  
  
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|  Run || Source || Energy (keV) || Expected Rate (Hz) || HpGe Rate (Hz) || HpGe Det D Efficiency (%)   
 
|  Run || Source || Energy (keV) || Expected Rate (Hz) || HpGe Rate (Hz) || HpGe Det D Efficiency (%)   
 
|-
 
|-
−
| Eff_003 || Na-22 || 511 || 79122.6 || (506:516) (4.309-0.065=4.244) || 0.005  
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| r5825 || Na-22 || 511 || 79122.6 || (480:540) (4.309-0.065=4.244) || 0.005  
 
|-
 
|-
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| Eff_005 || Cs-137 || 661.657 || 28091.2 ||(657:666)(1.105-0.02281=1.0821) ||0.004  
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| r5826 || Na-22 || 511 || 28091.2 ||(480:540)(1.105-0.02281=1.0821) ||0.004  
 
|-
 
|-
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| Eff_006 || Mn-54 || 834.848 || 861.1 ||(830:839)(0.04037-0.009123=0.031247)||0.004
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| r5827 || Na-22 || 511 || 861.1 ||(480:540)(0.04037-0.009123=0.031247)||0.004
 
|-  
 
|-  
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| Eff_007 || Co-60 ||  1173.228 || 137692 ||(1164:1182)(3.686-0.01939=3.67)||0.003  
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| r5829 || Na-22 ||  511 || 137692 ||(480:540)(3.686-0.01939=3.67)||0.003  
 
|-
 
|-
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| Eff_003 || Na-22 || 1274.537 || 44224 ||(1270:1279) (1.073-0.0057=1.0673)||0.002  
+
| r5830 || Na-22 || 511 || 44224 ||(480:540) (1.073-0.0057=1.0673)||0.002  
 
|-
 
|-
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| Eff_007 || Co-60 ||  1332.492 || 139058.52 ||(1328:1337)(3.283-0.05702=3.22598)|| 0.002
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| r5831 || Na-22 ||  511 || 139058.52 ||(480:540)(3.283-0.05702=3.22598)|| 0.002
 
|}
 
|}

Latest revision as of 20:09, 5 February 2017

Below are the theoretical calculations for the theoretical decay frequencies

Na-22, 9.427micro Ci on July 1, 2008, half life 2.602 +/- 0.002 years, 99.937% for 1274.52 and 178.8 for 511 line , activity in March 31, 2016 =1.196micro Ci


= [math]\left (1.788 \right )\left ( 1.196 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 79122.6 Hz [/math] for the 511 line



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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