Difference between revisions of "Feb 2017 Energy Efficiency Calculations"

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Below are the theoretical calculations for the theoretical decay frequencies
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==Theoretical Activities==
  
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Na-22, 10.19 uCi on July 15, 2013, half life 2.602 +/- 0.002 years, 99.937% for 1274.52 and 178.8 for 511 line , activity in Feb 4, 2017 = 3.947 uCi
+
Below are the calculations for the theoretical decay frequencies
−
:= <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 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 line
+
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
  
−
Cs-137, 661.660 line, 9.067 uCi on May 5, 2005, half life 30.0 +/- 0.2 yrs, February 4, 2017 activity =6.917 uCi  expected rate for 661 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
 +
 
 +
Cs-137, 661.660 keV line, 9.067 uCi on May 5, 2005, half life 30.0 +/- 0.2 yrs, February 4, 2017 activity =6.917 uCi  expected rate for 661 keV line  
  
 
:= <math>\left ( 0.8521\right )\left ( 6.917 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 218,077.1 Hz </math>
 
:= <math>\left ( 0.8521\right )\left ( 6.917 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 218,077.1 Hz </math>
  
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Mn-54, 9.882 uCi  on August 8, 2012, half life =312.20 +/- 0.07 days, 99.975% intensity on 834.826 , February 12, 2017 activity =0.249 uCi
+
Mn-54, 9.882 uCi  on August 8, 2012, half life =312.20 +/- 0.07 days, 99.975% intensity on 834.826 keV line , February 12, 2017 activity =0.249 uCi
 +
 
 +
:= <math>\left (0.99975 \right )\left ( 0.249 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)=  9210.7 Hz </math> for the 834 keV line
 +
 
  
−
:= <math>\left (0.99975 \right )\left ( 0.249 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 9210.7 Hz </math> for the 834 line
+
Co-60, 9.080 uCi July 15, 2013, half life 5.271 +/- 0.001 years, 99.0 % for 1173.237 keV line and 99.9824 % for 1332.501 keV line, February 4, 2016 activity= 5.68 uCi
  
  
−
Co-60, 9.080 uCi July 15, 2013, half life 5.271 +/- 0.001 years, 99.0 % for 1173.237 and 99.9824 % for 1332.501, February 4, 2016 activity= 5.68 uCi
+
:= <math>\left (0.99 \right )\left ( 5.68 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)=  208058.4 Hz </math> for the 1173 keV line
  
  
−
:= <math>\left (0.99 \right )\left ( 5.68 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)=  208058.4 Hz </math> for the 1173 line
+
:= <math>\left (0.999824 \right )\left ( 5.68 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)=  210123.0 Hz </math> for the 1332 keV line
  
 +
Ba-133, 9.821 uCi on April 15, 2007, half life is 10.51 years, the 81 keV line has an intensity of 0.329 and the 356 keV line has an intensity of 0.6205. The activity of February 9, 2017 is 5.15 uCi
  
−
:= <math>\left (0.999824 \right )\left ( 5.68 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 210123.0 Hz </math> for the 1332 line
+
:= <math>\left (0.329 \right )\left ( 5.15 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 62690.95 Hz </math> for the 81 keV line
  
−
Ba-133, 9.821 uCi on April 15, 2007, half life is 10.51 years, the 81 line has an intensity of 0.329 and the 356 line has an intensity of 0.6205. The activity of February 9, 2017 is
+
:= <math>\left (0.6205 \right )\left ( 5.15 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 118236.3 Hz  </math> for the 356 keV line
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=Runlist=
  
 
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).
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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  
+
| r5820 || Na-22 || 511 || 79122.6 || (506:516) (4.309-0.065=4.244) || 0.005  
 
|-
 
|-
−
| Eff_005 || Cs-137 || 661.657 || 28091.2 ||(657:666)(1.105-0.02281=1.0821) ||0.004  
+
| r5818 || Cs-137 || 661.657 || 28091.2 ||(657:666)(1.105-0.02281=1.0821) ||0.004  
 
|-
 
|-
−
| Eff_006 || Mn-54 || 834.848  || 861.1 ||(830:839)(0.04037-0.009123=0.031247)||0.004
+
| r5896 || Mn-54 || 834.848  || 861.1 ||(830:839)(0.04037-0.009123=0.031247)||0.004
 
|-  
 
|-  
−
| Eff_007 || Co-60 ||  1173.228 || 137692 ||(1164:1182)(3.686-0.01939=3.67)||0.003  
+
| r5822 || Co-60 ||  1173.228 || 137692 ||(1164:1182)(3.686-0.01939=3.67)||0.003  
 
|-
 
|-
−
| Eff_003 || Na-22 || 1274.537 || 44224 ||(1270:1279) (1.073-0.0057=1.0673)||0.002  
+
| r5820 || Na-22 || 1274.537 || 44224 ||(1270:1279) (1.073-0.0057=1.0673)||0.002  
 
|-
 
|-
−
| Eff_007 || Co-60 ||  1332.492 || 139058.52 ||(1328:1337)(3.283-0.05702=3.22598)|| 0.002
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| r5822 || Co-60 ||  1332.492 || 139058.52 ||(1328:1337)(3.283-0.05702=3.22598)|| 0.002
 
|}
 
|}

Latest revision as of 03:41, 3 March 2017

Theoretical Activities

Below are the 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

Cs-137, 661.660 keV line, 9.067 uCi on May 5, 2005, half life 30.0 +/- 0.2 yrs, February 4, 2017 activity =6.917 uCi expected rate for 661 keV line

= [math]\left ( 0.8521\right )\left ( 6.917 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 218,077.1 Hz [/math]

Mn-54, 9.882 uCi on August 8, 2012, half life =312.20 +/- 0.07 days, 99.975% intensity on 834.826 keV line , February 12, 2017 activity =0.249 uCi

= [math]\left (0.99975 \right )\left ( 0.249 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 9210.7 Hz [/math] for the 834 keV line


Co-60, 9.080 uCi July 15, 2013, half life 5.271 +/- 0.001 years, 99.0 % for 1173.237 keV line and 99.9824 % for 1332.501 keV line, February 4, 2016 activity= 5.68 uCi


= [math]\left (0.99 \right )\left ( 5.68 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 208058.4 Hz [/math] for the 1173 keV line


= [math]\left (0.999824 \right )\left ( 5.68 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 210123.0 Hz [/math] for the 1332 keV line

Ba-133, 9.821 uCi on April 15, 2007, half life is 10.51 years, the 81 keV line has an intensity of 0.329 and the 356 keV line has an intensity of 0.6205. The activity of February 9, 2017 is 5.15 uCi

= [math]\left (0.329 \right )\left ( 5.15 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 62690.95 Hz [/math] for the 81 keV line
= [math]\left (0.6205 \right )\left ( 5.15 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 118236.3 Hz [/math] for the 356 keV line

Runlist

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 (%)
r5820 Na-22 511 79122.6 (506:516) (4.309-0.065=4.244) 0.005
r5818 Cs-137 661.657 28091.2 (657:666)(1.105-0.02281=1.0821) 0.004
r5896 Mn-54 834.848 861.1 (830:839)(0.04037-0.009123=0.031247) 0.004
r5822 Co-60 1173.228 137692 (1164:1182)(3.686-0.01939=3.67) 0.003
r5820 Na-22 1274.537 44224 (1270:1279) (1.073-0.0057=1.0673) 0.002
r5822 Co-60 1332.492 139058.52 (1328:1337)(3.283-0.05702=3.22598) 0.002
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