LB Se PAA Horse Feed IAC Detector Effiencies

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