Difference between revisions of "Feb 2017 Energy Efficiency Calculations"
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Below are the theoretical calculations for the theoretical decay frequencies | 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 and 178.8 for 511 line , activity in Feb 4, 2017 = 3.947 uCi | + | 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 line | + | := <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 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 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 | + | 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> | ||
| − | 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 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 keV line |
| − | 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 | + | 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 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 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 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 line has an intensity of 0.329 and the 356 line has an intensity of 0.6205. The activity of February 9, 2017 is 5.15 uCi | + | 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)= </math> for the 81 keV 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)= </math> for the 81 keV line | ||
Revision as of 19:58, 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
- = for the 1274 keV line
- = 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
- =
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
- = 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
- = for the 1173 keV line
- = 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
- = for the 81 keV 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 (%) |
| Eff_003 | 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 |
| Eff_006 | 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 |
| Eff_003 | 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 |