Homework Set 1 - SUNY Geneseo...SBD Calibration 1. Deuterons off Gold and Aluminum 2. Calibration...
Transcript of Homework Set 1 - SUNY Geneseo...SBD Calibration 1. Deuterons off Gold and Aluminum 2. Calibration...
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Alex Chin
SUNY Geneseo
Physics Department
nTOF
Geneseo, NY
7th April 2017
SBD Calibration
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Deuterons off Gold and Aluminum
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Calibration Method
•Scattered Deuterons off of Gold and Aluminum at different energies
•Calibrated off of centroid of peak
•1.621 deuterons off gold at 20deg
•Use Ski Sickness to predict the scattered energy of the deuteron
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Gold and Aluminum
Scattered deuterons off Gold and Aluminum at different energies
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Taking into account target thicknessKnown
𝜙 = 45°
𝜃 = 20°
ℎ𝐴𝑢 = 0.09𝜇𝑚
ℎ𝐴𝑙 = 0.78𝜇𝑚
𝛼 = 90 − 𝜙 − 𝜃 = 25°
𝑥 =ℎ
cos 𝛼
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Target
Deuteron Beam
𝜙
Scattered Deuterons
𝜙
𝜃𝜙𝛼
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Adjusting for Stopping Power
𝐸𝐴𝑑𝑗𝑢𝑠𝑡𝑒𝑑 = 𝐸𝑆𝑘𝑖 𝑆𝑖𝑐𝑘𝑛𝑒𝑠𝑠 − 𝑥 ∙ 𝑑𝐸/𝑑𝑥
Where
𝑥: Adjusted thickness of Target
𝑑𝐸/𝑑𝑥: Energy loss per micron, taking into account energy of deuteron and target element. Assumes deuteron scattered at the front of the target.
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Final Calibration
Fitting Aluminum and Gold
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y = 1.4021x + 34.367R² = 0.9996
1400
1450
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1550
1600
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1700
1750
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1850
1000 1050 1100 1150 1200 1250 1300
Ener
gy (
KeV
)Channel
Taking into Account Stopping Power
Best Fit LineE KeV = 1.4021 Ch + 34.367
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Alpha Source Calibration
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Calibration EnergiesRadium 226 Source:
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Ra 226 – Rn 222 𝛼: 4784.35 KeV
Rn 226 – Po 218 𝛼: 5489.48 KeV
Po 218 – Pb 214 𝛼: 6002.35 KeV
Po 214 – Pb 210 𝛼: 7686.82 KeV
Po 210 – Pb 206 𝛼: 5304.33 KeV
Source #1 (Thin Source)
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Surface Barrier Detector SettingsDetector: BU-011-050-500
Bias: 60V
Gain: 13.10
Distance to source : ~20cm
Adjusted Pole-to-Zero
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Example of a Surface Barrier Detector
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Setup
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Surface Barrier
Detector
Ra 226
Alpha Source
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Uncalibrated Spectrum
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Uncalibrated spectraRun time: ~10hr
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Counts per Peak
Peak Counts
1 1003
2 798
3 1111
4 1127
5 1084
13
1
2
34 5
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Getting Energy
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Outline:
1. Fit each peak with a Gaussian,
𝑓 𝑥 = 𝐴𝑒−(𝑥−𝜇)2
2𝜎2
2. Calibrate the birth energy of the alpha particle to the 𝜇 + 𝑛𝜎
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Calibrating to 𝜇 + 𝜎
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Quantity Value (Channels)
𝜇 5408.6
𝜎 15.0637
1𝜎 15.0637
FWHM 35.47
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Calibration to 𝜇 + 𝜎
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Best Fit Line:
E KeV = 1.4091 Ch + 44.5023
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Result 𝜇 + 𝜎
Quantity Value (Energy (KeV))
𝜇 7665.6
𝜎 21.2260
1𝜎 21.2260
FWHM 49.9833
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Calibrating to 𝜇 + 2𝜎
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Quantity Value
𝜇 5408.6
𝜎 15.0637
2𝜎 30.1274
FWHM 35.47
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Calibration to 𝜇 + 2𝜎
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Best Fit Line:
E KeV = 1.4105 Ch + 15.6728
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Result 𝜇 + 2𝜎
Quantity Value (Energy (KeV))
𝜇 7644.7
𝜎 21.2479
2𝜎 42.4959
FWHM 50.0351
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Calibrating to 𝜇 + 3𝜎
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Quantity Value
𝜇 5408.6
𝜎 15.0637
3𝜎 45.1912
FWHM 35.47
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Calibration to 𝜇 + 3𝜎
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Best Fit Line:
E KeV = 1.4120 Ch − 13.1961
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Result 𝜇 + 3𝜎
Quantity Value (Energy (KeV))
𝜇 7623.7
𝜎 21.2699
3𝜎 63.8097
FWHM 50.0868
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Alpha Calibration: Best Fit Lines
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1 sigma: E KeV = 1.4091 Ch + 44.50232 sigma: E KeV = 1.4105 Ch + 15.67283 sigma: E KeV = 1.4120 Ch − 13.1961
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Comparison of all Best Fit Lines over the deuteron calibration energy range
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CalibrationEnergy of Channel 1119.91
1 sigma 1622.6 KeV
2 sigma 1595.3 KeV
3 sigma 1568.1 KeV
Deuterons 1604.6 KeV
1.621 MeV deuterons off goldCentroid Channel: 1119.91Predicted Energy: 1605.6 KeV
1 sigma: E KeV = 1.4091 Ch + 44.50232 sigma: E KeV = 1.4105 Ch + 15.67283 sigma: E KeV = 1.4120 Ch − 13.1961Deuterons: E KeV = 1.4021 Ch + 34.367