Feb 2017 Energy Efficiency Calculations

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

= [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, 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 (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, 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

= [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, 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 ( 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