Difference between revisions of "LB May 2017 Det A Efficiency"

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 +
DetB Calibration is A = -2.8392 +/- 0.592828 , B = 0.815444 +/- 0.000630482
 +
 +
Det A Intercept = -12.208800 slope =1.021270
 +
 +
Detector A is ADCid 0
 +
 +
Detector B is ADCid 1
 +
 
=Theoretical Activities=
 
=Theoretical Activities=
  
  
  
−
Na-22, 10.19 uCi on July 15, 2013, half life 2.602 +/- 0.002 years, 99.937% for 1274.52 keV line and 178.8 for 511 keV line , activity in Feb 4, 2017 = 3.947 uCi
+
Ba-133, 10.54 uCi on July 1, 2008, half life 10.51 years, 32.9% for 80.9979 keV line, 18.34% for 302.8508 keV line, 62.05% for the 356.0129 keV line. The sample serial # 129791 had an activity of 5.87 uCi on May 27, 2017
−
:= <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 keV line
+
 
 +
 
 +
: <math>\left (0.329 \right )\left ( 5.87 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 71455.51 Hz </math> for the 80.9979 keV 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 keV line
+
:<math>\left (0.1834 \right )\left ( 5.87 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)=  39745.77 Hz </math> for the 302.8508 keV line
  
−
Now compute the expected rate for February 5, 2017.
 
  
−
The activity on Feb 5, 2017 is 3.944 uCi, so the expected rates for the 2 lines are
+
: <math>\left (0.6205 \right )\left ( 5.87 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)=  134874.99 Hz </math> for the 356.0129 keV line
  
−
:= <math>\left (0.99937 \right )\left ( 3.944 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 145,836 Hz </math> for the 1274 keV line
 
  
−
:= <math>\left (1.788 \right )\left ( 3.944 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)=  260919.264 Hz </math> for the 511 keV line
+
Ba-133, 10.54 uCi on July 1, 2008, half life 10.51 years, 32.9% for 80.9979 keV line, 18.34% for 302.8508 keV line, 62.05% for the 356.0129 keV line. The sample serial # 129791 had an activity of 5.75 uCi on September 6, 2017
  
−
Now compute the expected rate for February 9, 2017
 
  
−
The activity on Feb 9, 2017 is 3.933 uCi, so the expected rate for the 2 lines are
+
: <math>\left (0.329 \right )\left ( 5.75 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 69994.75 Hz </math> for the 80.9979 keV line
  
  
−
:= <math>\left (0.99937 \right )\left ( 3.933 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 145,429.32 Hz </math> for the 1274 keV line
+
:<math>\left (0.1834 \right )\left ( 5.75 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 39018.35 Hz </math> for the 302.8508 keV line
  
−
:= <math>\left (1.788 \right )\left ( 3.933 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)=  260,191.55 Hz </math> for the 511 keV line
+
: <math>\left (0.6205 \right )\left ( 5.75 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)=  132011.375 Hz </math> for the 356.0129 keV line
  
−
Now compute the expected rate for Feb 12, 2017
 
  
−
The activity on Feb 12, 2017 is 3.924 uCi, so the expected rate for the 2 lines are
 
  
−
:= <math>\left (0.99937 \right )\left ( 3.924 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 145096.5316 Hz </math> for the 1274 keV line
 
  
−
:= <math>\left (1.788 \right )\left ( 3.924 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 259596.144 Hz </math> for the 511 keV line  
+
Co-60, 10.42 uCi on July 1, 2008, half life 1925.5253 days, 99.9826% for 1332.492 keV line. The sample serial # 129790 had an activity of 2.72 uCi on September 14, 2017
 +
 
 +
 
 +
: <math>\left (0.999826 \right )\left ( 2.72 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 100622.49 Hz </math> for the 1332 keV line
 +
 
 +
Co-60, 1.082 uCi on July 1, 2008, half life 1925.5253 days, 99.9826% for 1332.492 keV line. The sample serial # 129739 had an activity of 0.283 uCi on September 15, 2017
 +
 
 +
: <math>\left (0.999826 \right )\left ( 0.283 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 10469.178 Hz </math> for the 1332 keV line
  
 
=Actual Efficiency=
 
=Actual Efficiency=
 +
There is a small issue with the calibration when plotting the results in ROOT. The binning along with the calibration create a picket fencing effect that incorrectly displays the results. The effect is shown below.
 +
  
 
{| border="3"  cellpadding="5" cellspacing="0"
 
{| border="3"  cellpadding="5" cellspacing="0"
−
|  Run || Source || Energy (keV) || Position ||  Expected Rate (Hz) ||ROOT Window || HpGe Rate (Hz) || HpGe Detector A Efficiency (%)   
+
|  Run || Source || Energy (keV) || Channel #||Position ||  Expected Rate (Hz) ||ROOT Window (by channel #) || HpGe Rate (Hz) || HpGe Detector A Efficiency (%)   
 +
|-
 +
||Ba133_DetA_Farthest_DetB_posN_Efficiency.root || Ba-133 || 80.9979 || 92||  Farthest Back Position on Detector A || 71455.51 || [88,98] || 25.78 +/- 0.078 || 0.0036
 +
|-
 +
||Ba133_DetA_Pos90_DetB_23_6cm_Efficiency.root || Ba-133 || 80.9979 || 92 || 90cm From Detector A || 71455,51 || [88,98] || 58.37 +\- 0.15 || 0.08 
 +
|-
 +
||Ba133_DetA_Pos70_DetB_PosD_Efficiency.root || Ba-133 || 80.9979 || 92 || 70cm From Detector A || 71455.51 || [88,98] || 50.07 +/- 0.19 || 0.07
 +
|-
 +
||Ba133_DetA_Pos50_DetB_PosC_Efficiency.root || Ba-133 || 80.9979 || 92 || 50cm From Detector A || 71455.51 || [88,98] || 142.85 +/- 0.28 || 0.20
 +
|-
 +
||Ba133_DetA_Pos44cm_DetB_PosA_Efficiency.root || Ba-133 || 80.9979 ||92|| 44cm From Detector A || 71455.51 || [88,98]] || 206.97 +/- 0.38 || 0.29
 +
|-
 +
||Ba133_DetA_Pos30_Efficiency.root || Ba-133 || 80.9979 || 92 || 30cm From Detector A || 71455.51 || [88,98] || 235.49 +/- 0.79 || 0.33
 +
|-
 +
||Ba133_DetA_Pos20_Efficiency.root || Ba-133 || 80.9979 || 92 || 20cm From Detector A || 71455.51 || [88,98] || 478.73 +/- 0.8439 || 0.70 +\- 0.0011
 +
|-
 +
||Ba133_Pos10_9_6_17.root || Ba-133 || 80.9979 || 92 || 10cm From Detector A || 69994.75 || [88,98] || 605.39 +/- 4.53 || 0.86 
 +
|-
 +
||Ba133_DetA_Farthest_DetB_posN_Efficiency.root || Ba-133 || 302.85 || 310 || Farthest Position On Detector A || 39745.77 || [305,315] || 11.49 +/- 0.0110|| 0.0289
 +
|-
 +
||Ba133_DetA_Pos90_DetB_23_6cm_Efficiency.root || Ba-133 || 302.85 || 310 || 90cm From Detector A || 39745.77 || [305,315] || 12.645 +/- 0.0227 || 0.0318
 +
|-
 +
||Ba133_DetA_Pos70_DetB_PosD_Efficiency.root || Ba-133 || 302.85 || 310 || 70cm From Detector A || 39745.77 || [305,315] || 20.35 +/- 0.0223 || 0.0512
 +
|-
 +
||Ba133_DetA_Pos50_DetB_PosC_Efficiency.root || Ba-133 || 302.85 ||310 || 50cm From Detector A || 39745.77 || [305,315]] || 40.06 +/- 0.0260 || 0.1008
 +
|-
 +
||Ba133_DetA_Pos44cm_DetB_PosA_Efficiency.root || Ba-133 || 302.85 || 310 || 44cm From Detector A || 39745.77 || [305,315] || 49.86 +/- 0.0287 || 0.1254
 +
|-
 +
||Ba133_DetA_Pos30_Efficiency.root || Ba-133 || 302.85 || 310 || 30cm From Detector A || 39745.77 || [305,315] || 99.76 +/- 0.0393 || 0.2510
 +
|-
 +
||Ba133_DetA_Pos20_Efficiency.root || Ba-133 || 302.85 || 310 || 20cm From Detector A || 39745.77 || [305,315] || 196.45 +/- 0.0529 || 0.4943
 +
|-
 +
||Ba133_DetA_Farthest_DetB_posN_Efficiency.root || Ba-133 ||356.0129  || 361.6 || Farthest Position Det A || 134874.99 || [350,375] || 34.9876 +/- 0.0140 || 0.0259
 +
|-
 +
||Ba133_DetA_Pos90_DetB_23_6cm_Efficiency.root || Ba-133 || 356.0129 || 361.6 || 90cm From Detector A || 134874.99 || [350,375] || 38.60 +/- 0.0259 || 0.0286
 +
|-
 +
||Ba133_DetA_Pos70_DetB_PosD_Efficiency.root || Ba-133 || 356.0129 || 361.6 || 70cm From Detector A || 134874.99 || [350,375] || 62.32 +/- 0.0263 || 0.0462
 +
|-
 +
||Ba133_DetA_Pos50_DetB_PosC_Efficiency.root || Ba-133 || 356.0129 || 361.6 || 50cm From Detector A || 134874.99 ||[350,375] || 118.74 +/- 0.0289 || 0.0880
 +
|-
 +
||Ba133_DetA_Pos44cm_DetB_PosA_Efficiency.root || Ba-133 || 356.0129 || 361.6 || 44cm From Detector A || 134874.99 || [350,375] || 148.53 +/- 0.0356 || 0.1101
 +
|-
 +
||Ba133_DetA_Pos30_Efficiency.root || Ba-133 ||356.0129 || 361.6 || 30cm From Detector A || 134874.99 || [350,375] ||292.32 +/- 0.0537 || 0.2167
 +
|-
 +
||Ba133_DetA_Pos20_Efficiency.root || Ba-133 || 356.0129 || 361.6 || 20cm From Detector A || 134874.99 || [350,375] || 582.39 +/- 0.0563 || 0.4318
 +
|-
 +
||Co60_Pos70_9_14_17.root || Co-60 || 1332.492 || 1319.9 || 70cm from Detector A || 100622.49 || [1300,1340] || 8.95 +\- 0.18 ||0.0089
 +
|-
 +
||Co60_Pos50_9_14_17.root || Co-60 || 1332.492 || 1319.9 || 50cm from Detector A ||100622.49  || [1300,1340] || 17.18 +\- 0.20 ||0.0170
 +
|-
 +
||Co60_Pos30_9_14_17.root || Co-60 || 1332.492 || 1319.9 || 30cm from Detector A ||100622.49  || [1300,1340] || 42.45 +\- 0.47 ||0.0422
 +
|-
 +
||Co60_Pos20_9_14_17.root || Co-60 || 1332.492 || 1319.9 || 20cm from Detector A ||100622.49  || [1300,1340] || 85.20 +\- 0.71 || 0.0847
 +
|-
 +
||Co60_DetA_Pos10_9_6_17.root || Co-60 || 1332.492 || 1319.9 || 10cm from Detector A ||100622.49  || [1300,1340] ||  ||
 
|-
 
|-
−
||
+
||Co60_Pos10_DetA_9_15_17.root || Co-60 || 1332.492 || 1319.9 || 10cm from Detector A ||10469.187  || [1300,1340] || 32.76 +\- 0.338 || 0.31
 
|-
 
|-
 
|}
 
|}

Latest revision as of 15:27, 27 September 2017

DetB Calibration is A = -2.8392 +/- 0.592828 , B = 0.815444 +/- 0.000630482

Det A Intercept = -12.208800 slope =1.021270

Detector A is ADCid 0

Detector B is ADCid 1

Theoretical Activities

Ba-133, 10.54 uCi on July 1, 2008, half life 10.51 years, 32.9% for 80.9979 keV line, 18.34% for 302.8508 keV line, 62.05% for the 356.0129 keV line. The sample serial # 129791 had an activity of 5.87 uCi on May 27, 2017


[math]\left (0.329 \right )\left ( 5.87 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 71455.51 Hz [/math] for the 80.9979 keV line
[math]\left (0.1834 \right )\left ( 5.87 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 39745.77 Hz [/math] for the 302.8508 keV line


[math]\left (0.6205 \right )\left ( 5.87 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 134874.99 Hz [/math] for the 356.0129 keV line


Ba-133, 10.54 uCi on July 1, 2008, half life 10.51 years, 32.9% for 80.9979 keV line, 18.34% for 302.8508 keV line, 62.05% for the 356.0129 keV line. The sample serial # 129791 had an activity of 5.75 uCi on September 6, 2017


[math]\left (0.329 \right )\left ( 5.75 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 69994.75 Hz [/math] for the 80.9979 keV line


[math]\left (0.1834 \right )\left ( 5.75 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 39018.35 Hz [/math] for the 302.8508 keV line
[math]\left (0.6205 \right )\left ( 5.75 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 132011.375 Hz [/math] for the 356.0129 keV line



Co-60, 10.42 uCi on July 1, 2008, half life 1925.5253 days, 99.9826% for 1332.492 keV line. The sample serial # 129790 had an activity of 2.72 uCi on September 14, 2017


[math]\left (0.999826 \right )\left ( 2.72 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 100622.49 Hz [/math] for the 1332 keV line

Co-60, 1.082 uCi on July 1, 2008, half life 1925.5253 days, 99.9826% for 1332.492 keV line. The sample serial # 129739 had an activity of 0.283 uCi on September 15, 2017

[math]\left (0.999826 \right )\left ( 0.283 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 10469.178 Hz [/math] for the 1332 keV line

Actual Efficiency

There is a small issue with the calibration when plotting the results in ROOT. The binning along with the calibration create a picket fencing effect that incorrectly displays the results. The effect is shown below.


Run Source Energy (keV) Channel # Position Expected Rate (Hz) ROOT Window (by channel #) HpGe Rate (Hz) HpGe Detector A Efficiency (%)
Ba133_DetA_Farthest_DetB_posN_Efficiency.root Ba-133 80.9979 92 Farthest Back Position on Detector A 71455.51 [88,98] 25.78 +/- 0.078 0.0036
Ba133_DetA_Pos90_DetB_23_6cm_Efficiency.root Ba-133 80.9979 92 90cm From Detector A 71455,51 [88,98] 58.37 +\- 0.15 0.08
Ba133_DetA_Pos70_DetB_PosD_Efficiency.root Ba-133 80.9979 92 70cm From Detector A 71455.51 [88,98] 50.07 +/- 0.19 0.07
Ba133_DetA_Pos50_DetB_PosC_Efficiency.root Ba-133 80.9979 92 50cm From Detector A 71455.51 [88,98] 142.85 +/- 0.28 0.20
Ba133_DetA_Pos44cm_DetB_PosA_Efficiency.root Ba-133 80.9979 92 44cm From Detector A 71455.51 [88,98]] 206.97 +/- 0.38 0.29
Ba133_DetA_Pos30_Efficiency.root Ba-133 80.9979 92 30cm From Detector A 71455.51 [88,98] 235.49 +/- 0.79 0.33
Ba133_DetA_Pos20_Efficiency.root Ba-133 80.9979 92 20cm From Detector A 71455.51 [88,98] 478.73 +/- 0.8439 0.70 +\- 0.0011
Ba133_Pos10_9_6_17.root Ba-133 80.9979 92 10cm From Detector A 69994.75 [88,98] 605.39 +/- 4.53 0.86
Ba133_DetA_Farthest_DetB_posN_Efficiency.root Ba-133 302.85 310 Farthest Position On Detector A 39745.77 [305,315] 11.49 +/- 0.0110 0.0289
Ba133_DetA_Pos90_DetB_23_6cm_Efficiency.root Ba-133 302.85 310 90cm From Detector A 39745.77 [305,315] 12.645 +/- 0.0227 0.0318
Ba133_DetA_Pos70_DetB_PosD_Efficiency.root Ba-133 302.85 310 70cm From Detector A 39745.77 [305,315] 20.35 +/- 0.0223 0.0512
Ba133_DetA_Pos50_DetB_PosC_Efficiency.root Ba-133 302.85 310 50cm From Detector A 39745.77 [305,315]] 40.06 +/- 0.0260 0.1008
Ba133_DetA_Pos44cm_DetB_PosA_Efficiency.root Ba-133 302.85 310 44cm From Detector A 39745.77 [305,315] 49.86 +/- 0.0287 0.1254
Ba133_DetA_Pos30_Efficiency.root Ba-133 302.85 310 30cm From Detector A 39745.77 [305,315] 99.76 +/- 0.0393 0.2510
Ba133_DetA_Pos20_Efficiency.root Ba-133 302.85 310 20cm From Detector A 39745.77 [305,315] 196.45 +/- 0.0529 0.4943
Ba133_DetA_Farthest_DetB_posN_Efficiency.root Ba-133 356.0129 361.6 Farthest Position Det A 134874.99 [350,375] 34.9876 +/- 0.0140 0.0259
Ba133_DetA_Pos90_DetB_23_6cm_Efficiency.root Ba-133 356.0129 361.6 90cm From Detector A 134874.99 [350,375] 38.60 +/- 0.0259 0.0286
Ba133_DetA_Pos70_DetB_PosD_Efficiency.root Ba-133 356.0129 361.6 70cm From Detector A 134874.99 [350,375] 62.32 +/- 0.0263 0.0462
Ba133_DetA_Pos50_DetB_PosC_Efficiency.root Ba-133 356.0129 361.6 50cm From Detector A 134874.99 [350,375] 118.74 +/- 0.0289 0.0880
Ba133_DetA_Pos44cm_DetB_PosA_Efficiency.root Ba-133 356.0129 361.6 44cm From Detector A 134874.99 [350,375] 148.53 +/- 0.0356 0.1101
Ba133_DetA_Pos30_Efficiency.root Ba-133 356.0129 361.6 30cm From Detector A 134874.99 [350,375] 292.32 +/- 0.0537 0.2167
Ba133_DetA_Pos20_Efficiency.root Ba-133 356.0129 361.6 20cm From Detector A 134874.99 [350,375] 582.39 +/- 0.0563 0.4318
Co60_Pos70_9_14_17.root Co-60 1332.492 1319.9 70cm from Detector A 100622.49 [1300,1340] 8.95 +\- 0.18 0.0089
Co60_Pos50_9_14_17.root Co-60 1332.492 1319.9 50cm from Detector A 100622.49 [1300,1340] 17.18 +\- 0.20 0.0170
Co60_Pos30_9_14_17.root Co-60 1332.492 1319.9 30cm from Detector A 100622.49 [1300,1340] 42.45 +\- 0.47 0.0422
Co60_Pos20_9_14_17.root Co-60 1332.492 1319.9 20cm from Detector A 100622.49 [1300,1340] 85.20 +\- 0.71 0.0847
Co60_DetA_Pos10_9_6_17.root Co-60 1332.492 1319.9 10cm from Detector A 100622.49 [1300,1340]
Co60_Pos10_DetA_9_15_17.root Co-60 1332.492 1319.9 10cm from Detector A 10469.187 [1300,1340] 32.76 +\- 0.338 0.31
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