Difference between revisions of "Feb 2017 Energy Efficiency Calculations"

From New IAC Wiki
Jump to navigation Jump to search
Line 18: Line 18:
  
  
−
:= <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 (0.99 \right )\left ( 5.68 \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
+
:= <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)=  139058.52 Hz </math> for the 1332 line
  
  

Revision as of 19:41, 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 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)= 137692.17 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)= 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
Retrieved from "https://wiki.iac.isu.edu/index.php?title=Feb_2017_Energy_Efficiency_Calculations&oldid=112520"