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=
  
Line 6: Line 14:
  
  
:= <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