LB 170063 Nickel Information With Dead Time - Revision history

Brenleyt at 22:02, 6 December 2017

2017-12-06T22:02:39Z

2017-12-06T21:54:07Z

2017-12-06T21:44:44Z

2017-12-06T21:44:17Z

2017-12-06T21:43:50Z

2017-12-06T21:32:59Z

2017-12-06T20:51:27Z

2017-12-06T20:39:24Z

2017-12-06T20:26:21Z

2017-12-06T20:24:33Z

@@ Line 37: / Line 37: @@
 ||True Rate (Hz) || <math> 1.082790 \times 10^6 \pm 1.4557 \times 10^4 </math> || <math> 8.36825 \times 10^5 \pm 4.764 \times 10^3 </math> || <math> 4.72065 \times 10^5 \pm 3.332 \times 10^3</math> || <math> 1.97995 \times 10^5 \pm 1.322 \times 10^3</math>  || <math> 9.3214 \times 10^4 \pm 5.59 \times 10^2</math> || <math> 6.2979 \times 10^4 \pm 3.62 \times 10^2 </math> ||<math> 3.7660 \times 10^4 \pm 2.33 \times 10^2 </math>
 |-
-||Backtracked Signal (For Consistency) ||
+||Backtracked Signal (For Consistency) || ||
 |-
 ||.dat file entry || 13.90 +/- 0.01 || 13.64 +/- 0.01 ||  13.06 +/- 0.01 || 12.20 +/- 0.01 || 11.44 +/- 0.01 || 11.04 +/- 0.01|| 10.54 +/- 0.01

@@ Line 36: / Line 36: @@
 |-
 ||True Rate (Hz) || <math> 1.082790 \times 10^6 \pm 1.4557 \times 10^4 </math> || <math> 8.36825 \times 10^5 \pm 4.764 \times 10^3 </math> || <math> 4.72065 \times 10^5 \pm 3.332 \times 10^3</math> || <math> 1.97995 \times 10^5 \pm 1.322 \times 10^3</math>  || <math> 9.3214 \times 10^4 \pm 5.59 \times 10^2</math> || <math> 6.2979 \times 10^4 \pm 3.62 \times 10^2 </math> ||<math> 3.7660 \times 10^4 \pm 2.33 \times 10^2 </math>
 |-
 ||.dat file entry || 13.90 +/- 0.01 || 13.64 +/- 0.01 ||  13.06 +/- 0.01 || 12.20 +/- 0.01 || 11.44 +/- 0.01 || 11.04 +/- 0.01|| 10.54 +/- 0.01
@@ Line 41: / Line 43: @@
 |}
 Below is a plot that was made to help find the half life and the initial activity of the sample

@@ Line 60: / Line 60: @@
 Now note that this measurement was taken 8 minutes after the selenium samples were measured. So we must correct the activity back 8 minutes.
-<math> A_0 = 1.125007 \times 10^6 \times e^{5.40845 \times 10^{-6} \times \480} = 1.127931 \times 10^6 Hz </math>
+<math> A_0 = 1.125007 \times 10^6 \times e^{5.40845 \times 10^{-6} \times 480} = 1.127931 \times 10^6 Hz </math>
 <math> \sigma_{A_0} = 7240 \times e^{5.40845 \times 10^{-6} \times 480} = 7258.82 Hz </math>

@@ Line 60: / Line 60: @@
 Now note that this measurement was taken 8 minutes after the selenium samples were measured. So we must correct the activity back 8 minutes.
-<math> A_0 = 1.125007 \times 10^6 \times e^(5.40845 \times 10^{-6} \times \480) = 1.127931 \times 10^6 Hz </math>
+<math> A_0 = 1.125007 \times 10^6 \times e^{5.40845 \times 10^{-6} \times \480} = 1.127931 \times 10^6 Hz </math>
-<math> \sigma_{A_0} = 7240 \times e^(5.40845 \times 10^{-6} \times 480) = 7258.82 Hz </math>
+<math> \sigma_{A_0} = 7240 \times e^{5.40845 \times 10^{-6} \times 480} = 7258.82 Hz </math>

← Older revision		Revision as of 21:43, 6 December 2017
Line 53:		Line 53:

	<math> 13.9333 \pm 0.00643596 </math>		<math> 13.9333 \pm 0.00643596 </math>
		+
		+	By exponentiating the intercept, we can find the activity of the nickel foil at the time of the first measurement, which is
		+
		+	<math> 1.125007 \times 10^6 \pm 7.240 \times 10^3 </math>
		+
		+	Now note that this measurement was taken 8 minutes after the selenium samples were measured. So we must correct the activity back 8 minutes.
		+
		+	<math> A_0 = 1.125007 \times 10^6 \times e^(5.40845 \times 10^{-6} \times \480) = 1.127931 \times 10^6 Hz </math>
		+
		+	<math> \sigma_{A_0} = 7240 \times e^(5.40845 \times 10^{-6} \times 480) = 7258.82 Hz </math>

← Older revision		Revision as of 21:32, 6 December 2017
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	\|-		\|-
	\|}		\|}
		+
		+
		+	Below is a plot that was made to help find the half life and the initial activity of the sample
		+
		+	[[File:170063 NickelFoil HLPlot DeadTimeCorrected.png\|200px]]
		+
		+	from here we can see that
		+
		+	<math> Slope = 5.63921 \times 10^{-6} \pm 1.75557 \times 10^{-8} </math>
		+
		+	and the intercept is given by
		+
		+	<math> 13.9333 \pm 0.00643596 </math>

@@ Line 35: / Line 35: @@
 || Percent Dead ||3.95 +/- 0.42 || 6.59 +/- 0.43 || 9.09 +/- 0.60 || 3.95 +/- 0.42 || 6.59 +/- 0.43 || 5.06 +/- 0.39 || 3.06 +/- 0.3
 |-
-||True Rate (Hz) || <math> 1.082790 \times 10^6 \pm 1.4557 \times 10^4 </math> || <math> 8.36825 \times 10^5 \pm 4.764 \times 10^3 </math> || <math> 4.72065 \times 10^5 \pm 3.332 \times 10^3</math> || <math> 1.97995 \times 10^5 \pm 1.322 \times 10^3</math>  || <math> 9.3214 \times 10^4 \pm 5.59 \times 10^2</math> || <math> 62979.7767 \times 10^4 \pm 3.62 \times 10^2 </math> ||<math> 3.7660 \times 10^4 \pm 2.33 \times 10^2 </math>
+||True Rate (Hz) || <math> 1.082790 \times 10^6 \pm 1.4557 \times 10^4 </math> || <math> 8.36825 \times 10^5 \pm 4.764 \times 10^3 </math> || <math> 4.72065 \times 10^5 \pm 3.332 \times 10^3</math> || <math> 1.97995 \times 10^5 \pm 1.322 \times 10^3</math>  || <math> 9.3214 \times 10^4 \pm 5.59 \times 10^2</math> || <math> 6.2979 \times 10^4 \pm 3.62 \times 10^2 </math> ||<math> 3.7660 \times 10^4 \pm 2.33 \times 10^2 </math>
 |-
 |}