LB Se PAA Horse Feed IAC Detector Effiencies

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Below is the runlist for finding the efficiency of the detector at position R


Source Serial # Reference Date Activity Start Stop Live
Na-22 129743 7-01-08 9.427 microCi 15:49 16:19 1796.803
Cs-137 129793 7-01-08 1.006 microCi 14:25 14:56 1879.606
Mn-54 129807 7-01-08 11.77 microCi 15:00 15:30 1793.420
Co-60 129740 7-01-08 10.42 microCi 15:33 15:43 569.725

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 (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
= [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

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

= [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]

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

= [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


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


= [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


= [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


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

Below is a runlist for position k

Source Serial # Reference Date Activity Start Stop Live
Na-22 129743 7-01-08 9.427 microCi 14:54 15:01 434.087
Cs-137 129793 7-01-08 1.006 microCi 15:48 15:55 413.925
Mn-54 129807 7-01-08 11.77 microCi 15:28 15:40 705.186
Co-60 129740 7-01-08 10.42 microCi 15:41 15:47 346.092

Below are 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 April 14, 2016 =1.183micro Ci

= [math]\left (0.99937 \right )\left ( 1.183 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 43743.4 Hz [/math] for the 1274 line
= [math]\left (1.788 \right )\left ( 1.183 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 78262.5 Hz [/math] for the 511 line

Cs-137, 661.660 line, 85.21% * 1.066micro Ci on July 1, 2008, half life 30.0 +/- 0.2 yrs, April 14, 2016 activity =0.890 micro Ci expected rate for 661 line

= [math]\left (0.8521 \right )\left ( 0.890 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 28059.7 Hz [/math]

Mn-54, 11.77 on July 1, 2008, half life =312.20 +/- 0.07 days, 99.975% intensity on 834.826 , April 14, 2016 activity =0.02251micro Ci

= [math]\left (0.99975 \right )\left ( 0.02251 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 830.79 Hz [/math] for the 834 line


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, April 14, 2016 activity=3.74micro Ci


= [math]\left (0.99 \right )\left ( 3.74 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 136996.2 Hz [/math] for the 1173 line


= [math]\left (0.999824 \right )\left ( 3.74 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 138355.6 Hz [/math] for the 1332 line

Below are the actual efficiencies for position k

Run Source Energy (keV) Expected Rate (Hz) HpGe Rate (Hz) HpGe Det D Efficiency (%)
Eff_k_002 Na-22 511 79122.6 (506:516)(49.21-0.6272=48.58) 0.06
Eff_k_006 Cs-137 661.657 28091.2 (657:666)(12.86-0.02281=12.837) 0.05
Eff_k_004 Mn-54 834.848 861.1 (830:839)(0.3204-0.009123=0.311) 0.04
Eff_k_005 Co-60 1173.228 137692 (1164:1182)(42.39-0.02053=42.369) 0.03
Eff_k_002 Na-22 1274.537 44224 (1270:1279) (12.53-0.005702)=12.52 0.03
Eff_k_005 Co-60 1332.492 139058.52 (1328:1337)(35.94-0.005072) 0.03

Below is a runlist for position C

Source Serial # Reference Date Activity Start Stop Live
Na-22 129742 7-01-08 1.146 microCi 12:55 12:57 129.782
Cs-137 129793 7-01-08 1.006 microCi 13:02 13:04 123.818
Mn-54 129806 7-01-08 1.226 microCi 13:11 13:21 613.754
Co-60 129739 7-01-08 1.082 microCi 13:08 13:09 103.599

Below are the calculations for the theoretical 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 May 5, 2016 =1.196micro Ci

= [math]\left (0.99937 \right )\left ( 0.14 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 5176.7 Hz [/math] for the 1274 line
= [math]\left (1.788 \right )\left ( 0.14 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 9261.8 Hz [/math] for the 511 line

Cs-137, 661.660 line, 85.21% * 1.066micro Ci on July 1, 2008, half life 30.0 +/- 0.2 yrs, May 5, 2016 activity = 0.89micro Ci expected rate for 661 line

= [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)= 28059.7 Hz [/math]

Mn-54, 1.226 microCi on July 1, 2008, half life =312.20 +/- 0.07 days, 99.975% intensity on 834.826 , May 5, 2016 activity =0.002micro Ci

= [math]\left (0.99975 \right )\left ( 0.002 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 73.98 Hz [/math] for the 834 line


Co-60, 1.082micro Ci July 1, 2008, half life 5.271 +/- 0.001 years, 99.0 % for 1173.237 and 99.9824 % for 1332.501, May 5, 2016 activity=0.39micro Ci


= [math]\left (0.99 \right )\left ( 0.39 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 14285.7 Hz [/math] for the 1173 line


= [math]\left (0.999824 \right )\left ( 0.39 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 14427.5 Hz [/math] for the 1332 line

Below is a table with the calculated efficiencies

Run Source Energy (keV) Expected Rate (Hz) HpGe Rate (Hz) HpGe Det D Efficiency (%)
Eff_C_001 Na-22 511 9261.8 (506:516) (45.65-0.065=45.585) 0.5
Eff_C_002 Cs-137 661.657 28059.7 (657:666)(101.7-0.02281=101.67) 0.4
Eff_C_004 Mn-54 834.848 73.98 (830:839)(0.2704-0.009123=0.2612) 0.4
Eff_C_003 Co-60 1173 14285.7 (1164:1182)(34.24-0.01939=34.22) 0.2
Eff_C_001 Na-22 1274.537 5176.7 (1270:1279) (11.15-0.0057=11.14) 0.2
Eff_C_003 Co-60 1332.492 14427.5 (1328:1337)(28.05-0.05702=27.99) 0.2
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