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Geant4 Simulations for the Radon Electric Dipole Moment Search at

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2.003<br />

2.002<br />

Weighted Average: 2.00000(8) Hz<br />

2<br />

χ red<br />

= 1.869<br />

2.001<br />

Frequency (Hz)<br />

2.000<br />

1.999<br />

1.998<br />

1.997<br />

1.996<br />

0 100 200 300 400 500 600 700 800<br />

γ-ray Energy (keV)<br />

Figure 4.9: The resulting frequency from <strong>the</strong> weighted average of 20 precession frequency<br />

fits <strong>for</strong> various photopeaks. The fits were gener<strong>at</strong>ed from <strong>the</strong> d<strong>at</strong>a set present<br />

in Figure 4.4 <strong>for</strong> two anti-parallel GRIFFIN detectors.<br />

EDM measurement using Equ<strong>at</strong>ion 2.17. The sensitivity is given by,<br />

σ d = π<br />

2E σ f . (4.3)<br />

Givenanelectricfieldof5kV/cmandσ f = 0.0002Hzwefindasensitivity in<strong>the</strong>EDM<br />

measurement of 4.14×10 −23 ecm <strong>for</strong> two anti-parallel GRIFFIN detectors, detecting<br />

<strong>the</strong> 416 keV γ-ray from <strong>the</strong> decay of 1.2×10 9 223 Rn nuclei with a spin-depolariz<strong>at</strong>ion<br />

time of 15 seconds.<br />

This fitting process was repe<strong>at</strong>ed <strong>for</strong> every significant photopeak which produced<br />

a frequency signal in <strong>the</strong> 223 Rn decay. The weighted averaged of <strong>the</strong>se measurements<br />

is given in Figure 4.9. The weighting function used was<br />

w i = 1 σ 2 i<br />

, (4.4)<br />

72

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