170049 1% Se Soil Mixture Analysis

Below is the information for the target

Front Outer Nickel Foil: 3.4274g

Outer Se: 0.0914g

Soil: 10.240g

Inner Front Foil: 1.8672g

Inner Rear Foil: 1.7220g

Inner Se: 0.0954g

Rear Outer Foil: 3.4887g

Below is a table with the data that is to be analyzed for the mixture:

	0<t<300	750<t<1050	1508<t<1808	2260<t<2560	3030<t<3330	3820<t<4120	4580<t<4880	5325<t<5625	6085<t<6385	6835<t<7135	7585<t<7930
Thin Window Histogram
Expanded Window Histogram
Signal in Thin Window	[math]\displaystyle{ 6.662 \times 10^4 }[/math]	[math]\displaystyle{ 5.074 \times 10^4 }[/math]	[math]\displaystyle{ 3.909 \times 10^4 }[/math]	[math]\displaystyle{ 3.220 \times 10^4 }[/math]	[math]\displaystyle{ 2.718 \times 10^4 }[/math]	[math]\displaystyle{ 2.18 \times 10^4 }[/math]	[math]\displaystyle{ 1.855 \times 10^4 }[/math]	[math]\displaystyle{ 1.578 \times 10^4 }[/math]	[math]\displaystyle{ 1.228 \times 10^4 }[/math]	[math]\displaystyle{ 1.16 \times 10^4 }[/math]	[math]\displaystyle{ 1.241 \times 10^4 }[/math]
Signal in Expanded Window	[math]\displaystyle{ 1.132 \times 10^5 }[/math]	[math]\displaystyle{ 8.025 \times 10^4 }[/math]	[math]\displaystyle{ 5.866 \times 10^4 }[/math]	[math]\displaystyle{ 4.532 \times 10^4 }[/math]	[math]\displaystyle{ 3.735 \times 10^4 }[/math]	[math]\displaystyle{ 2.868 \times 10^4 }[/math]	[math]\displaystyle{ 2.424 \times 10^4 }[/math]	[math]\displaystyle{ 2.102 \times 10^4 }[/math]	[math]\displaystyle{ 1.592 \times 10^4 }[/math]	[math]\displaystyle{ 1.488 \times 10^4 }[/math]	[math]\displaystyle{ 1.662 \times 10^4 }[/math]
[math]\displaystyle{ S_{Expanded} - S_{Thin} }[/math]	[math]\displaystyle{ 4.6580 \times 10^4 }[/math]	[math]\displaystyle{ 2.9510 \times 10^4 }[/math]	[math]\displaystyle{ || <math>1.9570 \times 10^4 }[/math]	[math]\displaystyle{ 1.3120 \times 10^4 }[/math]	[math]\displaystyle{ 1.0170 \times 10^4 }[/math]	[math]\displaystyle{ 6.880 \times 10^3 }[/math]	[math]\displaystyle{ 5.690 \times 10^3 }[/math]	[math]\displaystyle{ 5.240 \times 10^3 }[/math]	[math]\displaystyle{ 3.640 \times 10^3 }[/math]	[math]\displaystyle{ 3.280 \times 10^3 }[/math]	[math]\displaystyle{ 4.210 \times 10^3 }[/math]
Integrated Background	[math]\displaystyle{ 4.47 \times 10^4 \pm 1.221 \times 10^2 }[/math]	[math]\displaystyle{ 2.7680 \times 10^4 \pm 9.632 \times 10^2 }[/math]	[math]\displaystyle{ 1.8620 \times 10^4 \pm 7.94 \times 10^2 }[/math]	[math]\displaystyle{ 1.2656 \times 10^4 \pm 6.62 \times 10^2 }[/math]	[math]\displaystyle{ 9.542 \times 10^3 \pm 5.84 \times 10^2 }[/math]	[math]\displaystyle{ 6.508 \times 10^3 \pm 5.04 \times 10^2 }[/math]	[math]\displaystyle{ 5.470 \times 10^3 \pm 4.54 \times 10^2 }[/math]	[math]\displaystyle{ 4.512 \times 10^3 \pm 4.34 \times 10^2 }[/math]	[math]\displaystyle{ 3.308 \times 10^3 \pm 0.368 \times 10^3 }[/math]	[math]\displaystyle{ 3.148 \times 10^3 \pm 0.348 \times 10^3 }[/math]	[math]\displaystyle{ 3.896 \times 10^3 \pm 0.388 \times 10^3 }[/math]
Signal - Background	[math]\displaystyle{ 2.1920 \times 10^4 \pm 4.6580 \times 10^4 }[/math]	[math]\displaystyle{ 2.3060 \times 10^4 \pm 2.9510 \times 10^4 }[/math]	[math]\displaystyle{ 2.0470 \times 10^4 \pm 1.9570 \times 10^4 }[/math]	[math]\displaystyle{ 1.9544 \times 10^4 \pm 1.3120 \times 10^4 }[/math]	[math]\displaystyle{ 1.7638 \times 10^4 \pm 1.0170 \times 10^4 }[/math]	[math]\displaystyle{ 1.5292 \times 10^4 \pm 0.6880 \times 10^4 }[/math]	[math]\displaystyle{ 1.3080 \times 10^4 \pm 0.5690 \times 10^4 }[/math]	[math]\displaystyle{ 1.0540 \times 10^4 \pm 0.5240 \times 10^3 }[/math]	[math]\displaystyle{ 8.972 \times 10^3 \pm 3.640 \times 10^3 }[/math]	[math]\displaystyle{ 8.452 \times 10^3 \pm 3.280 \times 10^3 }[/math]	[math]\displaystyle{ 8.514 \times 10^3 \pm 4.210 \times 10^3 }[/math]
Runtime (s)	300	300	300	300	300	300	300	300	300	300	300
Rate (Hz)	73.03 +/- 155.27	76.87 +/- 98.37	68.23 +/- 65.23	65.15 +/- 43.73	58.79 +/- 33.9	50.97 +/- 22.9	43.6 +/- 18.97	35.13 +/- 17.47	29.91 +/- 12.13	28.17 +/- 10.93	21.28 +/- 10.53
Integral Decay Correction (Hz)	75.30 +/- 160.02	79.22 +/- 101.37	70.31 +/- 67.22	67.14 +/- 45.07	60.59 +/- 34.93	52.53 +/- 23.60	44.93 +/- 19.55	36.20 +/- 18.00	30.82 +/- 12.50	29.03 +/- 11.26	21.93 +/- 10.85
Dead Time (%)	6.59 +/- 0.43	5.95 +/- 0.42	2.53 +/- 0.31	1.92 +/- 0.26	1.33 +/- 0.23	0.84 +/- 0.16	0.65 +/- 0.15	0.65 +/- 0.15	0.51 +/- 18	0.51 +/- 0.18	0.51 +/- 0.18
Dead Time Corrected Signal (Hz)	80.61 +/- 171.31	84.23 +/- 107.78	72.14 +/ 68.97	68.45 +/- 45.95	61.41 +/- 35.40	52.97 +/- 23.80	45.22 +/- 19.68	36.44 +/- 18.12	30.98 +/- 12.56	29.18 +/- 11.32	22.04 +/- 10.91
.Dat File Entry For HL Plot	4.39 +/- 2.13	4.43 +/- 1.28	4.28 +/- 0.96	4.23 +/- 0.67	4.12 +/- 0.58	3.97 +/- 0.45	3.81 +/- 0.44	3.60 +/- 0.50	3.43 +/- 0.41	3.37 +/- 0.39	3.09 +/- 0.50

Below is the table for the pure selenium sample which was outside the aluminum cylinder

	367<t<667	1126<t<1426	1886<t<2186	2640<t<2940	3440<t<3740	4200<t<4500	4950<t<5250	5710<t<6010	6460<t<6760	7210<t<7510	8010<t<8310
Thin Window Histogram
Expanded Window Histogram
Signal in Thin Window	[math]\displaystyle{ 6.152 \times 10^4 }[/math]	[math]\displaystyle{ 5.41 \times 10^4 }[/math]	[math]\displaystyle{ 4.815 \times 10^4 }[/math]	[math]\displaystyle{ 3.991 \times 10^4 }[/math]	[math]\displaystyle{ 3.545 \times 10^4 }[/math]	[math]\displaystyle{ 2.963 \times 10^4 }[/math]	[math]\displaystyle{ 2.737 \times 10^4 }[/math]	[math]\displaystyle{ 2.295 \times 10^4 }[/math]	[math]\displaystyle{ 1.918 \times 10^4 }[/math]	[math]\displaystyle{ 1.673 \times 10^4 }[/math]	[math]\displaystyle{ 1.497 \times 10^4 }[/math]
Signal in Expanded Window	[math]\displaystyle{ 6.945 \times 10^4 }[/math]	[math]\displaystyle{ 6.001 \times 10^4 }[/math]	[math]\displaystyle{ 5.32 \times 10^4 }[/math]	[math]\displaystyle{ 4.411 \times 10^4 }[/math]	[math]\displaystyle{ 3.914 \times 10^4 }[/math]	[math]\displaystyle{ 3.28 \times 10^4 }[/math]	[math]\displaystyle{ 3.004 \times 10^4 }[/math]	[math]\displaystyle{ 2.558 \times 10^4 }[/math]	[math]\displaystyle{ 2.206 \times 10^4 }[/math]	[math]\displaystyle{ 1.933 \times 10^4 }[/math]	[math]\displaystyle{ 1.71 \times 10^4 }[/math]
[math]\displaystyle{ S_{Expanded} - S_{Thin} }[/math]	7930	5910	5050	4200	3690	3170	2670	2630	2880	2600	2130
Integrated Background	4710 +/- 44.6	3854 +/- 40.2	2976 +/- 35.8	2656 +/- 33.4	2485 +/- 32.2	2302 +/- 31	2032 +/- 29.4	1943.2 +/- 28.6	2108 +/- 29.8	1769.4 +/- 27.8	1731.8 +/- 27.4
Signal - Background	[math]\displaystyle{ 5.6810 \times 10^4 \pm 0.7930 \times 10^4 }[/math]	[math]\displaystyle{ 5.0246 \times 10^4 \pm 0.5910 \times 10^4 }[/math]	[math]\displaystyle{ 4.5174 \times 10^4 \pm 0.5050 \times 10^4 }[/math]	[math]\displaystyle{ 3.7254 \times 10^4 \pm 0.4200 \times 10^4 }[/math]	[math]\displaystyle{ 3.2992 \times 10^4 \pm 0.3690 \times 10^4 }[/math]	[math]\displaystyle{ 2.7328 \times 10^4 \pm 0.3170 \times 10^4 }[/math]	[math]\displaystyle{ 2.4700 \times 10^4 \pm 0.2670 \times 10^4 }[/math]	[math]\displaystyle{ 2.10068 \times 10^4 \pm 0.2630 \times 10^4 }[/math]	[math]\displaystyle{ 1.7072 \times 10^4 \pm 0.2880 \times 10^4 }[/math]	[math]\displaystyle{ 1.49606 \times 10^4 \pm 0.2600 \times 10^4 }[/math]	[math]\displaystyle{ 1.32382 \times 10^4 \pm 0.2130 \times 10^4 }[/math]
Runtime (s)	300	300	300	300	300	300	300	300	300	300	300
Rate (Hz)	189.37 +/- 26.43	167.48 +/- 19.7	150.58 +/- 16.83	124.18 +/- 14	109.97 +/- 12.3	91.09 +/- 10.57	82.33 +/- 8.9	70.02 +/- 8.77	56.91 +/- 9.6	49.87 +/- 8.67	44.13 +/- 7.1
Integral Decay Correction (Hz)	195.16 +/- 27.24	172.61 +/- 20.30	155.18 +/- 17.34	127.97 +/- 14.43	113.33 +/- 12.67	93.87 +/- 10.84	84.85 +/- 9.17	72.16 +/- 9.04	58.65 +/- 9.89	51.39 +/- 8.93	45.48 +/- 7.32
Dead Time (%)	0.41 +/- 0.11	0.41 +/- 0.11	0.29 +/- 0.11	0.24 +/- 0.10	0.24 +/- 0.11	0.24 +/- 0.11	0.24 +/- 0.11	0.24 +/- 0.11	0.24 +/- 0.11	0.24 +/- 0.11	0.24 +/- 0.11
Dead Time Corrected Signal (Hz)	195.96 +/- 27.35	133.32 +/- 20.38	155.63 +/- 17.39	128.28 +/- 14.46	113.60 +/- 12.70	94.09 +/- 10.87	85.08 +/- 9.19	72.33 +/- 9.06	58.79 +/- 9.91	51.51 +/- 8.95	45.59 +/- 7.34
.Dat File Entry For HL Plot	5.27 +/- 0.14	5.16 +/- 0.12	5.05 +/- 0.11	4.85 +/- 0.11	4.73 +/- 0.11	4.54 +/- 0.11	4.44 +/- 0.11	4.28 +/- 0.13	4.07 +/- 0.17	3.94 +/- 0.17	3.82 +/- 0.16

Below are the Half life plots and hte point by point ratio plots for the mixture and the pure selenium sample. Note the error in the mixture.

Nickel Foil Information

For the nickel I have been using counting statistics ([math]\displaystyle{ \sqrt N }[/math]) to find the error in the signal. This is due to the fact that I can pin down the half life within uncertainty using this type of error.

Below is a table for the front outer nickel foil that was used in the sample.

	5/23/17	5/26/17	5/27/17	5/29/17	5/30/17
Thin Window Histogram
Original Histogram
Signal	5593 +/- 77.03	8045 +/- 89.69	9845 +/- 99.22	11620 +/- 107.80	7532 +/- 86.79
Integrated Background	365.28 +/- 28.16	291.36 +/- 24.96	428.48 +/- 30.4	688 +/- 38.4	365.38 +/- 28.16
Signal - Background	5227.72 +/-82.02	7753.64 +/- 93.10	9416.52 +/- 103.77	10932 +/- 114.44	7166.72 +/- 91.24
Runtime (s)	300.587	300.511	300.622	302.195	301.247
Rate (Hz)	17.39 +/- 0.27	25.80 +/- 0.31	31.32 +/- 0.35	36.18 +/- 0.38	23.79 +/- 0.30
Integral Decay Correction (Hz)	17.40 +/- 0.27	25.82 +/- 0.31	31.35 +/- 0.35	36.21 +/- 0.38	23.81 +/- 0.30
Dead Time (%)	2.53 +/- 0.31	3.95 +/- 0.42	5.06 +/- 0.39	5.87 +/- 0.54	5.06 +/- 0.39
Dead Time Corrected Signal (Hz)	17.85 +/- 0.28	26.88 +/-0.34	33.02 +/- 0.39	38.47 +/- 0.46	25.08 +/- 0.33
Position on Det A (cm)	70	30	20	10	10
Efficiency (%)	0.07 +/- 0.000266	0.33 +/- 0.0011	0.70 +/- 0.0011	0.86 +/- 0.0067	0.86 +/- 0.0067
Efficiency Corrected Rate
.Dat File Entry For HL Plot

Below is the table for the rear outer foil:

	5/23/17	5/29/17	5/30/17
Thin Window Histogram
Expanded Window Histogram
Signal in Thin Window
Integrated Background
Signal - Background
Runtime (s)	301.51	300.197	300.631
Rate (Hz)
Integral Decay Correction (Hz)
Dead Time (%)	1.92 +/- 0.26	3.95 +/- 0.42	3.06 +/- 0.30
Dead Time Corrected Signal (Hz)
Position on Det A (cm)	70	10	10
Efficiency (%)	0.07 +/- 0.00027	0.86 +/- 0.0067	0.86 +/- 0.0067
Efficiency Corrected Rate (Hz)
.Dat File Entry For HL Plot

Flux Simulations

The purpose of the flux simulations is to find if the factor that makes my ratios different than Segebade's. Below is the flux through the nickel foil.