Difference between revisions of "LB Feb 2017 Energy Efficiency Calculations"
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− | Na-22, | + | 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 =3.945 uCi |
− | := <math>\left (0.99937 \right )\left ( | + | := <math>\left (0.99937 \right )\left ( 3.945 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 145873.0421 Hz </math> for the 1274 line |
− | := <math>\left (1.788 \right )\left ( | + | := <math>\left (1.788 \right )\left ( 3.945 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 260985.42 Hz </math> for the 511 line |
− | Cs-137, 661.660 line, 85.21% * | + | Cs-137, 661.660 line, 85.21% * 9.067 uCi on May 1, 2005, half life 30.0 +/- 0.2 yrs, Feb 4, 2017 activity = 6.915 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)= | + | := <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)= 218014.0455 Hz </math> |
− | Mn-54, | + | Mn-54, 9.882 uCi on August 1, 2012, half life =312.20 +/- 0.07 days, 99.975% intensity on 834.826 , Feb 12, 2017 activity = 0.25 uCi |
− | := <math>\left (0.99975 \right )\left ( 0. | + | := <math>\left (0.99975 \right )\left ( 0.25 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 9247.6875 Hz </math> for the 834 line |
− | Co-60, | + | 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, Feb 4, 2017 activity=5.68 uCi |
− | := <math>\left (0.99 \right )\left ( | + | := <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 ( | + | := <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)= 210123.0118 Hz </math> for the 1332 line |
Ba-133, 9.821 uCi on 04-15-07 with a half life of 10.51 years 62.05% for the 356 line, | Ba-133, 9.821 uCi on 04-15-07 with a half life of 10.51 years 62.05% for the 356 line, | ||
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| Run || Source || Energy (keV) || Expected Rate (Hz) ||ROOT Window || HpGe Rate (Hz) || HpGe X-Cool Detector Efficiency (%) | | Run || Source || Energy (keV) || Expected Rate (Hz) ||ROOT Window || HpGe Rate (Hz) || HpGe X-Cool Detector Efficiency (%) | ||
|- | |- | ||
− | ||r5818 || Cs-137 || 661.7 || | + | ||r5818 || Cs-137 || 661.7 || 218014.0455 || [652:672] || 339.2 +/- 0.05 || 0.16 |
|- | |- | ||
− | || r5871 || Ba-133 || 356 ||118236.28 || [ | + | || r5871 || Ba-133 || 356 ||118236.28 || [348:364] || 286.00 +/- 0.03 || 0.24 |
|- | |- | ||
− | ||r5820 || Na-22 || 511 || | + | ||r5820 || Na-22 || 511 || 260985.42 || [490:530] || 479.94 +/- 0.42 || 0,18 |
|- | |- | ||
− | ||r5820 || Na-22 || 1274 || | + | ||r5820 || Na-22 || 1274 || 145873.0421 || [1255:1295] || 177.99 +/- 0 || 0.12 |
|- | |- | ||
− | ||r5896 || Mn-54 || 834 || | + | ||r5896 || Mn-54 || 834 || 9247.6875 || [824:842] || 14.93 +/- 0.01 || 0.16 |
+ | |- | ||
+ | || r5822 || Co-60 || 1173 || 208058.4 || [1160:1190] || 274.07 +/- 0 || 0.13 | ||
+ | |- | ||
+ | ||r5822 || Co-60 || 1332.5 || 210123.0118 || [1320:1350] || 259.86 +/- 0 || 0.12 | ||
+ | |- | ||
+ | |} | ||
+ | |||
+ | ==Detector B== | ||
+ | |||
+ | =Theoretical Activities= | ||
+ | |||
+ | |||
+ | Na-22, 1.146 uCi on July 1, 2008, half life 2.602 +/- 0.002 years, 99.937% for 1274.52 and 178.8% for 511 line , activity in February 24, 2017 =0.114 uCi | ||
+ | := <math>\left (0.99937 \right )\left ( 0.114 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 4215.34 Hz </math> for the 1274 line | ||
+ | |||
+ | := <math>\left (1.788 \right )\left ( 0.114 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 7541.784 Hz </math> for the 511 line | ||
+ | |||
+ | Cs-137, 661.660 line, 85.21%, 1.066 uCi on July 1, 2008, half life 30.0 +/- 0.2 yrs, Feb 24, 2017 activity = 0.8727 uCi expected rate for 661 line | ||
+ | |||
+ | := <math>\left (0.8521 \right )\left ( 0.8727 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 26079.7 Hz </math> | ||
+ | |||
+ | Mn-54, 9.882 uCi on August 1, 2012, half life =312.20 +/- 0.07 days, 99.975% intensity on 834.826 , Feb 24, 2017 activity =0.2435 uCi | ||
+ | |||
+ | := <math>\left (0.99975 \right )\left ( 0.2435 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 8986.976 Hz </math> for the 834 line | ||
+ | |||
+ | Ba-133, 1.188 uCi on 07-01-08 with a half life of 10.51 years 62.05% for the 356 line, activity on Feb 24, 2017 is 0.671 uCi | ||
+ | |||
+ | := <math>\left (0.329 \right )\left ( 0.671 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 8168.083 Hz </math> for the 81 keV line | ||
+ | |||
+ | := <math>\left (0.6205 \right )\left ( 0.671 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 15405.15 Hz </math> for the 356 keV line | ||
+ | |||
+ | There was another Ba-133 source used which had an activity of 9.821 uCi on 4-15-07, using the same half life and the same branching ratio, the activity on Feb 24, 2017 is 5.1219 uCi. The branching ratio for the 356keV line is 62.05% while the branching ratio for the 81 keV line is 32.9% | ||
+ | |||
+ | := <math>\left (0.329 \right )\left ( 5.1219 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 62348.8887 Hz </math> for the 81 keV line | ||
+ | |||
+ | := <math>\left (0.6205 \right )\left ( 5.1219 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 117591.1412 Hz </math> for the 356 keV line | ||
+ | |||
+ | =Actual Activities= | ||
+ | The method for calculating the actual activities is the same as above and the plots can be found at [[LB_Efficiency_Plots_Feb_2017]] | ||
+ | |||
+ | |||
+ | {| border="3" cellpadding="5" cellspacing="0" | ||
+ | | Run || Source || Energy (keV) || Position || Expected Rate (Hz) ||ROOT Window || HpGe Rate (Hz) || Detector B Efficiency (%) | ||
+ | |- | ||
+ | || Ba133_3.9cm_detB || Ba-133 || 81 || 3.9cm || 8168.083 || [76:86] || 137.12 +/- 0.6266 || 1.68 | ||
+ | |- | ||
+ | ||Ba133_3.9cm_detB || Ba-133 || 356 || 3.9cm || 15405.15 || [352:360] || 191.21 +/- 0.074 || 1.24 | ||
+ | |- | ||
+ | ||Ba133_4.1cm_detB || Ba-133 || 81 || 4.1cm || 8168.083 || [76:86] || 137.5 +/- 0.6984 || 1.68 | ||
+ | |- | ||
+ | ||Ba133_4.1cm_detB || Ba-33 || 356 || 4.1cm|| 15405.15 || [352:360] || 190.44 +/- 0.08 || 1.24 | ||
+ | |- | ||
+ | ||Ba133_7.9cm_detB || Ba-133 || 81 || 7.9cm || 62348.8887 || [76:86] || 345.36 +/- 1.32 || 0.55 | ||
+ | |- | ||
+ | ||Ba133_7.9cm_detB || Ba-133 || 356 || 7.9cm || 117591.1412 || [352:360] || 494.24 +/- 0.0954 || 0.42 | ||
+ | |- | ||
+ | ||Ba133_8.1cm_detB || Ba-133 || 81 || 8.1cm || 62348.8887 || [76:86] ||326.17 +/- 1.20 || 0.52 | ||
+ | |- | ||
+ | ||Ba133_8.1cm_detB || Ba-133 || 356 || 8.1cm || 117591.1412 || [352:360] || 482.58 +/- 0.10 || 0.41 | ||
+ | |- | ||
+ | ||Cs137_3.9cm_detB || Cs-137 || 661 || 3.9cm || 26079.7 || [658:666] || 182.33 +/- 0.05 || 0.70 | ||
+ | |- | ||
+ | ||Cs137_4.1cm_detB || Cs-137 || 661 || 4.1cm || 26079.7 || [658:666] || 175.26 +/- 0.04 || 0.67 | ||
+ | |- | ||
+ | ||Cs137_7.9cm_detB || Cs-137 || 661 || 7.9cm || 26079.7 || [658:666] || 64.28 +/- 0.04 || 0.25 | ||
+ | |- | ||
+ | ||Cs137_8.1cm_detB || Cs-137 || 661 || 8.1cm || 26079.7 || [658:666] || 65.14 +/- 0.04 || 0.25 | ||
+ | |- | ||
+ | ||Mn54_3.9cm_detB || Mn-54 || 834 || 3.9cm || 8986.976 || [830:838] || 54.75 +/- 0.02 || 0.61 | ||
+ | |- | ||
+ | ||Mn54_4.1cm_detB || Mn-54 || 834 || 4.1cm || 8986.976 || [830:838] || 52.55 +/- 0.02 || 0.58 | ||
+ | |- | ||
+ | ||Mn54_7.9cm_detB || Mn-54 || 834 || 7.9cm || 8986.976 || [830:838] || 18.62 +/- 0.02 || 0.21 | ||
+ | |- | ||
+ | ||Mn54_8.1cm_detB || Mn-54 || 834 || 8.1cm || 8986.976 || [830:838] || 17.98 +/- 0.01 || 0.20 | ||
+ | |- | ||
+ | ||Na22_3.9cm_detB || Na-22 || 511 || 3.9cm || 7541.784 || [504:516] || 81.74 +/- 0.09 || 1.08 | ||
+ | |- | ||
+ | ||Na22_3.9cm_detB || Na-22 || 1274 || 3.9cm || 4215.35 || [1270:1280] || 24.18 +/- 0 || 0.57 | ||
+ | |- | ||
+ | ||Na22_4.1cm_detB || Na-22 || 511 || 4.1cm || 7541.784 || [504:516] || 74.71 +/- 0.09 || 0.99 | ||
+ | |- | ||
+ | ||Na22_4.1cm_detB || Na-22 || 1274 || 4.1cm || 4215.35 || [1270:1280] || 22.90 +/- 0 || 0.54 | ||
+ | |- | ||
+ | ||Na22_7.9cm_detB || Na-22 || 511 || 7.9cm || 7541.784 || [504:516] || 25.55 +/- 0.05 || 0.34 | ||
+ | |- | ||
+ | ||Na22_7.9cm_detB || Na-22 || 1274 || 7.9cm || 4215.35 || [1270:1280] || 7.70 +/- 0 || 0.18 | ||
+ | |- | ||
+ | ||Na22_8.1cm_detB || Na-22 || 511 || 8.1cm || 7541.784 || [504:516] || 24.88 +/- 0.06 || 0.33 | ||
+ | |- | ||
+ | ||Na22_8.1cm_detB || Na-22 || 1274 || 8.1cm || 4215.35 || [1270:1280]|| 7.11 +/- 0 || 0.17 | ||
|- | |- | ||
|} | |} |
Latest revision as of 19:09, 3 April 2017
Theoretical Activities
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 =3.945 uCi
- = for the 1274 line
- = for the 511 line
Cs-137, 661.660 line, 85.21% * 9.067 uCi on May 1, 2005, half life 30.0 +/- 0.2 yrs, Feb 4, 2017 activity = 6.915 uCi expected rate for 661 line
- =
Mn-54, 9.882 uCi on August 1, 2012, half life =312.20 +/- 0.07 days, 99.975% intensity on 834.826 , Feb 12, 2017 activity = 0.25 uCi
- = 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, Feb 4, 2017 activity=5.68 uCi
- = for the 1173 line
- = for the 1332 line
Ba-133, 9.821 uCi on 04-15-07 with a half life of 10.51 years 62.05% for the 356 line,
- = for the 356 keV line
Actual Activites
This is an example of the method that will be used to find the activities in the calibrated source's spectra
The line of interest in Cs-137 the 661.7 line.
Using the program BackgroundSubtract.C in /data/IAC/Se/Feb_2017_Efficiency/Energy_Efficiency and the root command
BackgroundSubtract("r5818.root","r5891.root",412,3369);
The 661.7 keV line can be seen
Note that the range along the x-axis is [640:680] and the integral is 208.3.
Taking the ratio of the rate seen in the detector and the theoretical rate calculated above, one can arrive at a detector efficiency of 0.7%
The rest of the data is on the wiki page
Energy Efficiencies
Below is a table with the calculated efficiencies
Run | Source | Energy (keV) | Expected Rate (Hz) | ROOT Window | HpGe Rate (Hz) | HpGe X-Cool Detector Efficiency (%) |
r5818 | Cs-137 | 661.7 | 218014.0455 | [652:672] | 339.2 +/- 0.05 | 0.16 |
r5871 | Ba-133 | 356 | 118236.28 | [348:364] | 286.00 +/- 0.03 | 0.24 |
r5820 | Na-22 | 511 | 260985.42 | [490:530] | 479.94 +/- 0.42 | 0,18 |
r5820 | Na-22 | 1274 | 145873.0421 | [1255:1295] | 177.99 +/- 0 | 0.12 |
r5896 | Mn-54 | 834 | 9247.6875 | [824:842] | 14.93 +/- 0.01 | 0.16 |
r5822 | Co-60 | 1173 | 208058.4 | [1160:1190] | 274.07 +/- 0 | 0.13 |
r5822 | Co-60 | 1332.5 | 210123.0118 | [1320:1350] | 259.86 +/- 0 | 0.12 |
Detector B
Theoretical Activities
Na-22, 1.146 uCi on July 1, 2008, half life 2.602 +/- 0.002 years, 99.937% for 1274.52 and 178.8% for 511 line , activity in February 24, 2017 =0.114 uCi
- = for the 1274 line
- = for the 511 line
Cs-137, 661.660 line, 85.21%, 1.066 uCi on July 1, 2008, half life 30.0 +/- 0.2 yrs, Feb 24, 2017 activity = 0.8727 uCi expected rate for 661 line
- =
Mn-54, 9.882 uCi on August 1, 2012, half life =312.20 +/- 0.07 days, 99.975% intensity on 834.826 , Feb 24, 2017 activity =0.2435 uCi
- = for the 834 line
Ba-133, 1.188 uCi on 07-01-08 with a half life of 10.51 years 62.05% for the 356 line, activity on Feb 24, 2017 is 0.671 uCi
- = for the 81 keV line
- = for the 356 keV line
There was another Ba-133 source used which had an activity of 9.821 uCi on 4-15-07, using the same half life and the same branching ratio, the activity on Feb 24, 2017 is 5.1219 uCi. The branching ratio for the 356keV line is 62.05% while the branching ratio for the 81 keV line is 32.9%
- = for the 81 keV line
- = for the 356 keV line
Actual Activities
The method for calculating the actual activities is the same as above and the plots can be found at LB_Efficiency_Plots_Feb_2017
Run | Source | Energy (keV) | Position | Expected Rate (Hz) | ROOT Window | HpGe Rate (Hz) | Detector B Efficiency (%) |
Ba133_3.9cm_detB | Ba-133 | 81 | 3.9cm | 8168.083 | [76:86] | 137.12 +/- 0.6266 | 1.68 |
Ba133_3.9cm_detB | Ba-133 | 356 | 3.9cm | 15405.15 | [352:360] | 191.21 +/- 0.074 | 1.24 |
Ba133_4.1cm_detB | Ba-133 | 81 | 4.1cm | 8168.083 | [76:86] | 137.5 +/- 0.6984 | 1.68 |
Ba133_4.1cm_detB | Ba-33 | 356 | 4.1cm | 15405.15 | [352:360] | 190.44 +/- 0.08 | 1.24 |
Ba133_7.9cm_detB | Ba-133 | 81 | 7.9cm | 62348.8887 | [76:86] | 345.36 +/- 1.32 | 0.55 |
Ba133_7.9cm_detB | Ba-133 | 356 | 7.9cm | 117591.1412 | [352:360] | 494.24 +/- 0.0954 | 0.42 |
Ba133_8.1cm_detB | Ba-133 | 81 | 8.1cm | 62348.8887 | [76:86] | 326.17 +/- 1.20 | 0.52 |
Ba133_8.1cm_detB | Ba-133 | 356 | 8.1cm | 117591.1412 | [352:360] | 482.58 +/- 0.10 | 0.41 |
Cs137_3.9cm_detB | Cs-137 | 661 | 3.9cm | 26079.7 | [658:666] | 182.33 +/- 0.05 | 0.70 |
Cs137_4.1cm_detB | Cs-137 | 661 | 4.1cm | 26079.7 | [658:666] | 175.26 +/- 0.04 | 0.67 |
Cs137_7.9cm_detB | Cs-137 | 661 | 7.9cm | 26079.7 | [658:666] | 64.28 +/- 0.04 | 0.25 |
Cs137_8.1cm_detB | Cs-137 | 661 | 8.1cm | 26079.7 | [658:666] | 65.14 +/- 0.04 | 0.25 |
Mn54_3.9cm_detB | Mn-54 | 834 | 3.9cm | 8986.976 | [830:838] | 54.75 +/- 0.02 | 0.61 |
Mn54_4.1cm_detB | Mn-54 | 834 | 4.1cm | 8986.976 | [830:838] | 52.55 +/- 0.02 | 0.58 |
Mn54_7.9cm_detB | Mn-54 | 834 | 7.9cm | 8986.976 | [830:838] | 18.62 +/- 0.02 | 0.21 |
Mn54_8.1cm_detB | Mn-54 | 834 | 8.1cm | 8986.976 | [830:838] | 17.98 +/- 0.01 | 0.20 |
Na22_3.9cm_detB | Na-22 | 511 | 3.9cm | 7541.784 | [504:516] | 81.74 +/- 0.09 | 1.08 |
Na22_3.9cm_detB | Na-22 | 1274 | 3.9cm | 4215.35 | [1270:1280] | 24.18 +/- 0 | 0.57 |
Na22_4.1cm_detB | Na-22 | 511 | 4.1cm | 7541.784 | [504:516] | 74.71 +/- 0.09 | 0.99 |
Na22_4.1cm_detB | Na-22 | 1274 | 4.1cm | 4215.35 | [1270:1280] | 22.90 +/- 0 | 0.54 |
Na22_7.9cm_detB | Na-22 | 511 | 7.9cm | 7541.784 | [504:516] | 25.55 +/- 0.05 | 0.34 |
Na22_7.9cm_detB | Na-22 | 1274 | 7.9cm | 4215.35 | [1270:1280] | 7.70 +/- 0 | 0.18 |
Na22_8.1cm_detB | Na-22 | 511 | 8.1cm | 7541.784 | [504:516] | 24.88 +/- 0.06 | 0.33 |
Na22_8.1cm_detB | Na-22 | 1274 | 8.1cm | 4215.35 | [1270:1280] | 7.11 +/- 0 | 0.17 |