Se170063 Pure Se Wide Gauss Window Expansion - Revision history

Brenleyt at 13:56, 26 October 2017

2017-10-26T13:56:27Z

Brenleyt at 11:46, 26 October 2017

2017-10-26T11:46:36Z

Brenleyt at 11:45, 26 October 2017

2017-10-26T11:45:25Z

Brenleyt at 11:37, 26 October 2017

2017-10-26T11:37:49Z

Brenleyt at 11:31, 26 October 2017

2017-10-26T11:31:43Z

Brenleyt at 11:21, 26 October 2017

2017-10-26T11:21:01Z

Brenleyt at 10:46, 26 October 2017

2017-10-26T10:46:45Z

Brenleyt at 10:08, 26 October 2017

2017-10-26T10:08:12Z

Brenleyt at 02:55, 26 October 2017

2017-10-26T02:55:07Z

Brenleyt at 21:21, 25 October 2017

2017-10-25T21:21:22Z

← Older revision		Revision as of 13:56, 26 October 2017
Line 36:		Line 36:

	This result is slightly troubling, but it did not occur in the ash + se sample at all. It seems that the macro may be overcompensating for the background.		This result is slightly troubling, but it did not occur in the ash + se sample at all. It seems that the macro may be overcompensating for the background.
		+
		+	Below is a plot of the activity vs. time to get the half life and initial activity
		+
		+	[[File:170063 WindowExp WideGauss PureSeHL.png\|200px]]
		+
		+	The root window gives a slope of -0.000211997 +/- 1.3423e^-7. This gives us a half life of
		+
		+	54.49 +/- 0.03 Minutes
		+
		+	We can find the initial activity by using the constant value given, which is 7.72506 +/- 0.000255985.
		+
		+	<math> A_t = e^{7.72506} = 2264.39 Hz </math>
		+
		+	<math> \sigma_{A_t} = e^{7.72506}*\sigma_{A_t} = 0.58 Hz </math>
		+
		+	Now we can correct for the efficiency, which will be the same factor as the mixed (which should cancel)
		+
		+	<math> A_{t'} = \frac{A_t}{\epsilon} = \frac{2264.39}{0.0070} = 323484.28 Hz </math>
		+
		+	while the error is
		+
		+	<math> \sigma_{A_{t'}} = \frac{A_t * \sigma_{\epsilon}}{\epsilon^2} = 508.33 Hz </math>
		+
		+	Now we must trace this signal back to t = 0 for the mixture (since that is what it will be compared to). The mixture was measured 400 seconds prior to the pure sample, which gives
		+
		+	<math> A_0 = A_{t'}e^{\lambda400} = 352112.00 Hz </math>
		+
		+	while the error is
		+
		+	<math> \sqrt{e^{2\lambda t}\sigma_{A_t}^2 + A_{t}^2t^2e^{2\lambda t}\sigma_{\lambda}^2 } = 553.64 Hz </math>

← Older revision		Revision as of 11:46, 26 October 2017
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	<math> Expanded Counts - Original Counts = 231839.2 - 231940.3 = -100.8 counts </math>		<math> Expanded Counts - Original Counts = 231839.2 - 231940.3 = -100.8 counts </math>
		+
		+	This result is slightly troubling, but it did not occur in the ash + se sample at all. It seems that the macro may be overcompensating for the background.

← Older revision		Revision as of 11:45, 26 October 2017
Line 27:		Line 27:
	[[File:170063 NegativeCountError OGWindow.png\|200px]]		[[File:170063 NegativeCountError OGWindow.png\|200px]]

−	Here you can see that the total number of counts in the window is	+	Here you can see that the total number of counts in the window is 289400, while the integral of the background, which is found in the terminal is 57459.7. So we have a difference of 231940.3 counts. The expanded window is shown below.
		+
		+	[[File:170063 NegativeError ExpWindow.png\|\|200px]]
		+
		+	Now here it is shown that the total number of counts within the window is 304500 counts, while on the terminal we can see that the integral of the background is 72660.2 counts, which gives a difference of 231839.8 counts. Subtracting these two numbers to find the error in the number of counts, we find that
		+
		+	<math> Expanded Counts - Original Counts = 231839.2 - 231940.3 = -100.8 counts </math>

← Older revision		Revision as of 11:37, 26 October 2017
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	\|-		\|-
	\|}		\|}
		+
		+
		+	Using this method there seemed to be a problem with the background. When finding the error in the counts, sometimes the value was negative. Below is the example of the last timed run where 4840 < t < 5130
		+
		+	[[File:170063 NegativeCountError OGWindow.png\|200px]]
		+
		+	Here you can see that the total number of counts in the window is

@@ Line 4: / Line 4: @@
 || || 400 <t< 640 sec || 1100 < t < 1360 sec || 1875 < t < 2150 || 2650 < t < 2930 sec || 3400 < t < 3690 sec || 4120 < t < 4400 sec || 4840 < t < 5130 sec
 |-
-||Original Window Counts ||564700 ||536100 ||497100  ||432200 ||380500 ||319900
+||Original Window Counts ||564700 ||536100 ||497100  ||432200 ||380500 ||319900 || 289400
 |-
-|| Original Window Background (Integrated) ||  85711 || 86719 || 78500.2 ||73399.5 || 76327.6 || 61106.5
+|| Original Window Background (Integrated) ||  85711 || 86719 || 78500.2 ||73399.5 || 76327.6 || 61106.5 || 57459.7
 |-
-||Original Window Difference || 478989 || 449381 || 418599.8 || 358800.5 || 304172.4 || 243572.4
+||Original Window Difference || 478989 || 449381 || 418599.8 || 358800.5 || 304172.4 || 243572.4 || 231940.3
 |-
-||Expanded Window Counts ||587300 ||558100 || 517500 || 451400 ||398700 || 336000
+||Expanded Window Counts ||587300 ||558100 || 517500 || 451400 ||398700 || 336000 ||304500
 |-
-||Expanded Window Background ||  108563 || 108152 || 98915.2 ||92183.5 || 93245 || 77423.5
+||Expanded Window Background ||  108563 || 108152 || 98915.2 ||92183.5 || 93245 || 77423.5 || 72660.2
 |-
-||Expanded Window Difference ||478737  || 449948 || 418584.8 || 359216.5 || 305455 || 258576.5
+||Expanded Window Difference ||478737  || 449948 || 418584.8 || 359216.5 || 305455 || 258576.5 || 231839.8
 |-
-||Error in counts || 252* || 567 || 15* || 416 || 1282.6 ||15004.1 ||
+||Error in counts || 252* || 567 || 15* || 416 || 1282.6 ||15004.1 || 100.5 *
 |-
-||.dat file entry || 7.598793988 +/- 0.0005261081152 || 7.454944728 +/- 0.0012617356 || 7.327899514 +/- 0.0000358337 || 7.1557322 +/- 0.0011594187 || 6.955469002 +/- 0.0042166876 || 6.768379905 +/- 0.0616001649
+||.dat file entry || 7.598793988 +/- 0.0005261081152 || 7.454944728 +/- 0.0012617356 || 7.327899514 +/- 0.0000358337 || 7.1557322 +/- 0.0011594187 || 6.955469002 +/- 0.0042166876 || 6.768379905 +/- 0.0616001649 || 6.684354367 +/- 0.0004333011
 |-
 |}

@@ Line 14: / Line 14: @@
 ||Expanded Window Background ||  10856.3
 |-
-||Expanded Window Difference ||
+||Expanded Window Difference || 576443.7
 |-
-||Error in counts ||
+||Error in counts || 97454.7
 |-
-||.dat file entry ||
+||.dat file entry || 7.598793988 +/- 0.2034591609 ||
 |-
 |}