LB Det A Dead Time - Revision history

Brenleyt at 17:44, 6 December 2017

2017-12-06T17:44:21Z

Brenleyt: /* Improved Measurement */

2017-12-06T17:41:55Z

Improved Measurement

Brenleyt: /* Theoretical Activities */

2017-12-06T17:39:04Z

Theoretical Activities

Brenleyt: /* Theoretical Activities */

2017-12-06T17:29:48Z

Theoretical Activities

Brenleyt: /* Theoretical Activities */

2017-12-06T17:29:22Z

Theoretical Activities

Brenleyt: /* Theoretical Activities */

2017-12-06T17:03:23Z

Theoretical Activities

Brenleyt: /* Theoretical Activities */

2017-12-06T16:53:07Z

Theoretical Activities

Brenleyt: /* Theoretical Activities */

2017-12-06T16:46:34Z

Theoretical Activities

Brenleyt: /* Theoretical Activities */

2017-12-06T16:35:10Z

Theoretical Activities

Brenleyt: /* Theoretical Activities */

2017-12-06T16:23:20Z

Theoretical Activities

← Older revision		Revision as of 17:44, 6 December 2017
Line 139:		Line 139:
	\|-		\|-
	\|}		\|}
		+
		+	Note that these do not match with previous measurements or make intuitive sense. Something is off here.

← Older revision		Revision as of 17:41, 6 December 2017
Line 67:		Line 67:
	Once the theoretical rate has been found, take a ratio between the measured rate and the theoretical rate to get the percent dead time, or		Once the theoretical rate has been found, take a ratio between the measured rate and the theoretical rate to get the percent dead time, or

−	<math> Percent Dead = \frac{A_{Measured}}{A_{Theory}} </math>	+	<math> Percent Dead = \frac{R_{Measured}}{R_{Theory}} </math>

@@ Line 128: / Line 128: @@
 ||DetA_DeadTime_10cm || 10 || 5380 +/- 73.348 || 11.665 || 461.209 +/- 6.288 || 0.54106 || 9412.821 || 0.0490 +/- 0.0007
 |-
-||DetA_DeadTime_30cm_LargerSource || 30 ||  32989 +/- 181.629 || 40.822 +/- 808.118 ||0.06012 || 1045.908
+||DetA_DeadTime_30cm_LargerSource || 30 ||  32989 +/- 181.629 || 40.822 || 808.118 +/- 4.4493 ||0.06012 || 12583.5759 || 0.0642 +/- 0.0004
 |-
-||DetA_DeadTime_25cm_LargerSource || 25 || 11424 +/- 106.883 || 9.895 || 1154.522 +/- 10.802 || 0.08657 || 1506.058
+||DetA_DeadTime_25cm_LargerSource || 25 || 11424 +/- 106.883 || 9.895 || 1154.522 +/- 10.802 || 0.08657 || 18119.7633 || 0.0637 +/- 0.0006
 |-
-||DetA_DeadTime_20cm_LargerSource || 20 || 60557 +/- 246.083 || 37.121 || 1631.341 +/- 6.629 || 0.13527 ||
+||DetA_DeadTime_20cm_LargerSource || 20 || 60557 +/- 246.083 || 37.121 || 1631.341 +/- 6.629 || 0.13527 || 28313.0458 || 0.0576 +/- 0.0002
 |-
-||DetA_DeadTime_15cm_LargerSource || 15 || 57329 +/- 239.434 || 22.402 || 2559.101 +/- 10.688 || 0.24047
+||DetA_DeadTime_15cm_LargerSource || 15 || 57329 +/- 239.434 || 22.402 || 2559.101 +/- 10.688 || 0.24047 || 50332.2106 || 0.0508 +/- 0.0002
 |-
-||DetA_DeadTime_10cm_LargerSource || 10 || 48392 +/- 219.982 || 10.354 || 4673.749 +/- 21.246 || 0.54106
+||DetA_DeadTime_10cm_LargerSource || 10 || 48392 +/- 219.982 || 10.354 || 4673.749 +/- 21.246 || 0.54106 ||113247.997 || 0.0413 +/- 0.0002
 |-
 |}

@@ Line 94: / Line 94: @@
 |  Run || Distance from Detector (cm) || Number of Histogram Entries || Runtime (seconds) || <math> R_{Measure} (Hz) </math> || Solid Angle (sterradians) || <math> R_{Theory} </math> || <math> \frac{R_{Measured}}{R_{Theory}} </math>
 |-
-||DetA_DeadTime_90cm || 90 || 10036 +/- 100.180 || 365.632 || 27.448 +/- 0.274 || 0.00668 || 116.211 0.2362 +/- 0.0024
+||DetA_DeadTime_90cm || 90 || 10036 +/- 100.180 || 365.632 || 27.448 +/- 0.274 || 0.00668 || 116.211 ||0.2362 +/- 0.0024
 |-
 ||DetA_DeadTime_85cm || 85 || 7824 +/- 88.453 || 276.940|| 28.252 +/- 0.319 || 0.00749 || 130.304 || 0.2168 +/- 0.0024

@@ Line 94: / Line 94: @@
 |  Run || Distance from Detector (cm) || Number of Histogram Entries || Runtime (seconds) || <math> R_{Measure} (Hz) </math> || Solid Angle (sterradians) || <math> R_{Theory} </math> || <math> \frac{R_{Measured}}{R_{Theory}} </math>
 |-
-||DetA_DeadTime_90cm || 90 || 10036 +/- 100.180 || 365.632 || 27.448 +/- 0.274 || 0.00668 || 116.211
+||DetA_DeadTime_90cm || 90 || 10036 +/- 100.180 || 365.632 || 27.448 +/- 0.274 || 0.00668 || 116.211 0.2362 +/- 0.0024
 |-
-||DetA_DeadTime_85cm || 85 || 7824 +/- 88.453 || 276.940|| 28.252 +/- 0.319 || 0.00749 || 130.304
+||DetA_DeadTime_85cm || 85 || 7824 +/- 88.453 || 276.940|| 28.252 +/- 0.319 || 0.00749 || 130.304 || 0.2168 +/- 0.0024
 |-
-||DetA_DeadTime_80cm || 80 || 5040 +/- 70.993 || 168.989 || 29.824 +/- 0.420 || 0.00845 || 147.005
+||DetA_DeadTime_80cm || 80 || 5040 +/- 70.993 || 168.989 || 29.824 +/- 0.420 || 0.00845 || 147.005 || 0.2029 +/- 0.0029
 |-
-||DetA_DeadTime_75cm|| 75 || 5020 +/- 70.196 || 165.028 || 30.419 +/- 0.425 || 0.00962 || 167.359
+||DetA_DeadTime_75cm|| 75 || 5020 +/- 70.196 || 165.028 || 30.419 +/- 0.425 || 0.00962 || 167.359 || 0.1818 +/- 0.0025
 |-
-||DetA_DeadTime_70cm|| 70 || 5037 +/- 70.972 || 157.465 || 31.988 +/- 0.451 || 0.01104 || 192.063
+||DetA_DeadTime_70cm|| 70 || 5037 +/- 70.972 || 157.465 || 31.988 +/- 0.451 || 0.01104 || 192.063 || 0.1665 +/- 0.0023
 |-
-||DetA_DeadTime_65cm|| 65 || 5051 +/- 71.070 || 143.480 || 35.204 +/- 0.495 || 0.01281 || 222.856
+||DetA_DeadTime_65cm|| 65 || 5051 +/- 71.070 || 143.480 || 35.204 +/- 0.495 || 0.01281 || 222.856 || 0.1580 +/- 0.0022
 |-
-||DetA_DeadTime_60cm|| 60 || 5035 +/- 70.958 || 135.545 || 37.146 +/- 0.524 || 0.01503 || 261.477
+||DetA_DeadTime_60cm|| 60 || 5035 +/- 70.958 || 135.545 || 37.146 +/- 0.524 || 0.01503 || 261.477 || 0.1421 +/- 0.0020
 |-
-||DetA_DeadTime_55cm|| 55 || 5036 +/- 70.965 || 124.963 || 40.300 +/- 0.568 || 0.01789 || 311.232
+||DetA_DeadTime_55cm|| 55 || 5036 +/- 70.965 || 124.963 || 40.300 +/- 0.568 || 0.01789 || 311.232 || 0.1295 +/- 0.0018
 |-
-||DetA_DeadTime_50cm|| 50 || 6955 +/- 83.397 || 163.809 || 42.458 +/- 0.509 || 0.02164 || 376.471
+||DetA_DeadTime_50cm|| 50 || 6955 +/- 83.397 || 163.809 || 42.458 +/- 0.509 || 0.02164 || 376.471 || 0.1128 +/- 0.0014
 |-
-||DetA_DeadTime_45cm || 45 || 5079 +/- 71.267 || 99.950 || 50.815 +/- 0.713 || 0.02671 || 464.673
+||DetA_DeadTime_45cm || 45 || 5079 +/- 71.267 || 99.950 || 50.815 +/- 0.713 || 0.02671 || 464.673 || 0.1094 +/- 0.0015
 |-
-||DetA_DeadTime_40cm|| 40||5048 +/- 71.049 || 91.293 || 55.294 +/- 0.781 || 0.03381 || 588.193
+||DetA_DeadTime_40cm|| 40||5048 +/- 71.049 || 91.293 || 55.294 +/- 0.781 || 0.03381 || 588.193 || 0.0940 +/- 0.0013
 |-
-||DetA_DeadTime_35cm || 35 || 5262 +/- 72.540 || 79.486 || 66.200 +/- 0.913 || 0.04417 || 768.425
+||DetA_DeadTime_35cm || 35 || 5262 +/- 72.540 || 79.486 || 66.200 +/- 0.913 || 0.04417 || 768.425 || 0.0862 +/- 0.0012
 |-
-||DetA_DeadTime_30cm || 30 || 5078 +/- 71.601 || 61.545 || 82.509 +/- 1.163 || 0.06011 || 1045.734
+||DetA_DeadTime_30cm || 30 || 5078 +/- 71.601 || 61.545 || 82.509 +/- 1.163 || 0.06011 || 1045.734 || 0.0789 +/- 0.0011
 |-
-||DetA_DeadTime_25cm|| 25 || 5848 +/- 76.472 || 53.951 || 108.395 +/- 1.417 || 0.08657 || 1506.058
+||DetA_DeadTime_25cm|| 25 || 5848 +/- 76.472 || 53.951 || 108.395 +/- 1.417 || 0.08657 || 1506.058 || 0.0720 +/- 0.0009
 |-
-||DetA_DeadTime_20cm || 20 || 5380 +/- 73.348 || 35.239 || 152.672 +/- 2.081 || 0.13527 || 2353.292
+||DetA_DeadTime_20cm || 20 || 5380 +/- 73.348 || 35.239 || 152.672 +/- 2.081 || 0.13527 || 2353.292 || 0.0649 +/- 0.0013
 |-
-||DetA_DeadTime_15cm || 15 || 6078 +/- 77.962 || 24.858 || 244.509 +/- 3.136 || 0.24047 || 4183.457
+||DetA_DeadTime_15cm || 15 || 6078 +/- 77.962 || 24.858 || 244.509 +/- 3.136 || 0.24047 || 4183.457 || 0.0584 +/- 0.0007
 |-
-||DetA_DeadTime_10cm || 10 || 5380 +/- 73.348 || 11.665 || 461.209 +/- 6.288 || 0.54106 || 9412.821
+||DetA_DeadTime_10cm || 10 || 5380 +/- 73.348 || 11.665 || 461.209 +/- 6.288 || 0.54106 || 9412.821 || 0.0490 +/- 0.0007
 |-
 ||DetA_DeadTime_30cm_LargerSource || 30 ||  32989 +/- 181.629 || 40.822 +/- 808.118 ||0.06012 || 1045.908

@@ Line 92: / Line 92: @@
 {| border="3"  cellpadding="5" cellspacing="0"
-|  Run || Distance from Detector (cm) || Number of Histogram Entries || Runtime (seconds) || R_{Measure} (Hz) || Solid Angle (sterradians) || <math> R_{Theory} </math> || <math> \frac{R_{Measured}}{R_{Theory}} </math>
+|  Run || Distance from Detector (cm) || Number of Histogram Entries || Runtime (seconds) || <math> R_{Measure} (Hz) </math> || Solid Angle (sterradians) || <math> R_{Theory} </math> || <math> \frac{R_{Measured}}{R_{Theory}} </math>
 |-
-||DetA_DeadTime_90cm || 90 || 10036 || 365.632
+||DetA_DeadTime_90cm || 90 || 10036 +/- 100.180 || 365.632 || 27.448 +/- 0.274
 |-
-||DetA_DeadTime_85cm || 85 || 7824 || 276.940
+||DetA_DeadTime_85cm || 85 || 7824 +/- 88.453 || 276.940|| 28.252 +/- 0.319
 |-
-||DetA_DeadTime_80cm || 80 || 5040 || 168.989
+||DetA_DeadTime_80cm || 80 || 5040 +/- 70.993 || 168.989 || 29.824 +/- 0.420
 |-
-||DetA_DeadTime_75cm|| 75 || 5020 || 165.028
+||DetA_DeadTime_75cm|| 75 || 5020 +/- 70.196 || 165.028 || 30.419 +/- 0.425
 |-
-||DetA_DeadTime_70cm|| 70 || 5037 || 157.465
+||DetA_DeadTime_70cm|| 70 || 5037 +/- 70.972 || 157.465 || 31.988 +/- 0.451
 |-
-||DetA_DeadTime_65cm|| 65 || 5051 || 143.480
+||DetA_DeadTime_65cm|| 65 || 5051 +/- 71.070 || 143.480 || 35.204 +/- 0.495
 |-
-||DetA_DeadTime_60cm|| 60 || 5035 || 135.545
+||DetA_DeadTime_60cm|| 60 || 5035 +/- 70.958 || 135.545 || 37.146
 |-
-||DetA_DeadTime_55cm|| 55 || 5036 || 124.963
+||DetA_DeadTime_55cm|| 55 || 5036 +/- 70.965 || 124.963
 |-
-||DetA_DeadTime_50cm|| 50 || 6955 || 163.809
+||DetA_DeadTime_50cm|| 50 || 6955 +/- 83.397 || 163.809
 |-
-||DetA_DeadTime_45cm || 45 || 5079 || 99.950
+||DetA_DeadTime_45cm || 45 || 5079 +/- 71.267 || 99.950
 |-
-||DetA_DeadTime_40cm|| 40||5048 || 91.293
+||DetA_DeadTime_40cm|| 40||5048 +/- 71.049 || 91.293
 |-
-||DetA_DeadTime_35cm || 35 || 5262 || 79.486
+||DetA_DeadTime_35cm || 35 || 5262 +/- 72.540 || 79.486
 |-
-||DetA_DeadTime_30cm || 30 || 5078 || 61.545
+||DetA_DeadTime_30cm || 30 || 5078 +/- 71.601 || 61.545
 |-
-||DetA_DeadTime_25cm|| 25 || 5848 || 53.951
+||DetA_DeadTime_25cm|| 25 || 5848 +/- 76.472 || 53.951
 |-
-||DetA_DeadTime_20cm || 20 || 5380 || 35.239
+||DetA_DeadTime_20cm || 20 || 5380 +/- 73.348 || 35.239
 |-
-||DetA_DeadTime_15cm || 15 || 6078 || 24.858
+||DetA_DeadTime_15cm || 15 || 6078 +/- 77.962 || 24.858
 |-
-||DetA_DeadTime_10cm || 10 || 5380 || 11.665
+||DetA_DeadTime_10cm || 10 || 5380 +/- 73.348 || 11.665
 |-
-||DetA_DeadTime_30cm_LargerSource || 30 ||  32989 || 40.822
+||DetA_DeadTime_30cm_LargerSource || 30 ||  32989 +/- 181.629 || 40.822
 |-
-||DetA_DeadTime_25cm_LargerSource || 25 || 11424 || 9.895
+||DetA_DeadTime_25cm_LargerSource || 25 || 11424 +/- 106.883 || 9.895
 |-
-||DetA_DeadTime_20cm_LargerSource || 20 || 60557 || 37.121
+||DetA_DeadTime_20cm_LargerSource || 20 || 60557 +/- 246.083 || 37.121
 |-
-||DetA_DeadTime_15cm_LargerSource || 15 || 57329 || 22.402
+||DetA_DeadTime_15cm_LargerSource || 15 || 57329 +/- 239.434 || 22.402
 |-
-||DetA_DeadTime_10cm_LargerSource || 10 || 48392 || 10.354
+||DetA_DeadTime_10cm_LargerSource || 10 || 48392 +/- 219.982 || 10.354
 |-
 |}

@@ Line 89: / Line 89: @@
 <math> A_0 \times e^{-\lambda \times t} = 10.54 \times e^{-\lambda \times 3444} = 5.6570 \mu Ci \rightarrow 209307.65 Hz </math>
-Below is a table of information about the measurements that were made along with the theoretical rate within the solid angle
+Below is a table of information about the measurements that were made along with the theoretical rate within the solid angle. The Area of the detector face is 54.1061 <math> cm^2 </math>
 {| border="3"  cellpadding="5" cellspacing="0"