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 ( 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

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 ( 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

= [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 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 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

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

= [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

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