Difference between revisions of "LB 170048 Nickel Foil Consistency Check"
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| + | The plots for the half lives are shown below | ||
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| + | [[File:170048 003 HL Plot.png|200px]] | ||
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| + | [[File:170048 004 HL Plot.png|200px]] | ||
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| + | Now we can find the initial activity of each of the foils. There is no time correction needed for 170048-003 as its first measurement is set to t = 0. So we can find the activity with | ||
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| + | <math> | ||
Revision as of 15:58, 2 November 2017
Since the Selenium activities are not matching predicted values, check nickel foils from the front and rear to try and get that the activity is the same. Below is a table of pictures and information from ROOT sessions. For each of these, the spectrum was weighted by the inverse of the mass. For the front foil the mass was 1.3310g and for the rear foil the mass was 1.2196g. If the background subtraction is negative, take the mean of the two numbers.
To find the error in the background, the expanded window's background was subtracted from the original window's background. The signal was found by integrating the gaussian over the original window with an adjusted amplitude, which has been background subtracted and fed into mathematica.
| 5/23/17 | 5/26/17 | 5/29/17 | 5/30/17 | |
| Original Window |  |
 |
 |
|
| Expanded Window |  |
 |
 |
|
| Original Background (Integrated) | 388.8 +/- 63.2 | 297.2 +/- 72.8 | 1145.6 +/- 115.2 | 1024 +/- 92 |
| Expanded Window Background (Integrated) | 307.9 +/- 35.8 | 411.80 +/- 42.90 | 1058 +/- 68 | 681.4 +/- 53.4 |
| BG Average | 348.35 +/- 72.64 | 354.5 +/- 84.5 | 1101.8 +/- 133.77 | 852.7 +/- 106.37 |
| Integral of Original Window | 1.312e^4 | 1.777e^4 | 2.479e^4 | 1.69e^4 |
| Integral of Expanded Window | 1.32e^4 | 1.792e^4 | 2.506e^4 | 1.704e^4 |
| Integral Difference | 80 | 150 | 270 | 140 |
| Counts | 13120 +/- 80 | 17770 +/- 150 | 24790 +/- 270 | 16900 +/- 140 |
| Signal (BG subtracted Counts) | 12771.65 +/- 108.06 | 17415.5 +/- 172.16 | 23688.2 +/- 301.32 | 16047.3 +/- 175.78 |
| Efficiency | 8.9e^-5 +/- 1.8e^-6 | 4.22e^-4 +/- 4.671e^-6 | 0.0031 +/- 3.71e^-5 | 0.0031 +/- 3.71e^-5 |
| .dat file entry | 13.0745843 +/- 0.0211725 | 11.82996708 +/- 0.0148404 | 10.14076001 +/- 0.0174652 | 9.751499466 +/- 0.0162239 |
The information for the rear foil is shown below
| 5/23/17 | 5/26/17 | 5/29/17 | 5/30/17 | |
| Original Window |  |
 |
 |
|
| Expanded Window |  |
 |
 |
|
| Original Background (Integrated) | 344.16 +/- 53.44 | 273.2 +/- 60.16 | 1164.8 +/- 105.6 | 718.32 +/- 72 |
| Expanded Window Background (Integrated) | 262.2 +/-31.5 | 386.5 +/- 39.5 | 889.7 +/- 61.3 | 488.3 +/- 43.3 |
| BG Average | 303.18 +/- 62.03 | 329.85 +/- 71.97 | 1027.25 +/- 122.10 | 603.31 +/- 84.02 |
| Integral of Original Window | 1.036e^4 | 1.369e^4 | 2.257e^4 | 1.257e^4 |
| Integral of Expanded Window | 1.042e^4 | 1.38e^4 | 2.278e^4 | 1.267e^4 |
| Integral Difference | 60 | 110 | 210 | 100 |
| Counts | 10360 +/- 60 | 13690 +/- 110 | 22570 +/- 210 | 12670 +/- 100 |
| Signal (BG subtracted Counts) | 10056.82 +/- 86.30 | 13360.15 +/- 131.45 | 21542.75 +/- 249.92 | 12066.69 +/- 130.61 |
| Efficiency | 8.9e^-5 +/- 1.8e^-6 | 4.22e^-4 +/- 4.671e^-6 | 0.0031 +/- 3.71e^-5 | 0.0031 +/- 3.71e^-5 |
| .dat file entry | 12.83634845 +/- 0.0219699 | 11.56523893 +/- 0.0148095 | 9.934640683 +/- 0.0166677 | 9.469395687 +/- 0.0161365 |
The plots for the half lives are shown below
Now we can find the initial activity of each of the foils. There is no time correction needed for 170048-003 as its first measurement is set to t = 0. So we can find the activity with
<math>