Dose Calculations and 137Cs Shot Log

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Source Calibration and Dose Rate Data

Date Initial Source Strength (Ci) Current Source Strength (Ci) Distance to Faceplate (cm) Exposure Rate (Roentgen/hr)°
6/27/17 20 9.3 30.5 17.691
9/11/17 20 9.3 30.5 17.606

°Calculated by TSO using [math]\dot R = \frac {\Gamma A }{ D^2} [/math] where [math]\boldsymbol{\Gamma} = 3.3 \frac {(cm^2)(R)}{(mCi)(hr)} = .35 \frac {(m^2)(R)}{(Ci)(hr)} [/math] , [math]\mathbf{A} = 9.3 Ci [/math] , [math]\mathbf{D}=(\text{Distance to faceplate} + 11.2cm) [/math]

There is an adjustment distance of 11.2cm which accounts for the distance from the faceplate to the [math] ^{137}Cs[/math] source

Total exposures are calculated by [math]\int\limits_{t_0}^{t_f}\dot R\ dt [/math]

137Cs Shot Log

Dot OSLs

Date Run Number Run Time (s) Distance to Faceplate Number of OSLs in Stack Exposure Rate (R/hr) Total Exposed Dose (mR)
9/8/17 1 5660 30cm 11 18.7188 30148.8
9/8/17 1 5660 30cm 11 18.7188 30148.8
9/26/17 2 4500 30cm 11 18.7188 23398.6
9/26/17 2 4500 30cm 11 18.7188 23398.6

In these calculations, [math]\Gamma = 0.35 \frac {(m^2)(R)}{(Ci)(hr)} [/math]

Nanodot OSL Calibration and Quality Control

Calibration OSLs

Landauer Dosed OSLs

OSL # Listed Dose (mRad) Measured Dose (mRad) Average Dose (mRad)
DN08276339J Unexposed 71.19332 \
DN08276683L Unexposed 70.39211 72.10899
DN08258554P Unexposed 74.74154 /
DN10806640H 500 687.3246 \
DN10608908Z 500 681.0294 683.2422333
DN10806620J 500 681.3727 /
DN105057582 3000 3563.558 \
DN104085766 3000 3522.352 3567.258333
DN10608909X 3000 3615.865 /
DN108066085 50000 55966.55 \
DN103091798 50000 55420.36 55622.12
DN104086665 50000 55479.45 /
DN10606601L 100000 111610.5 \
DN106066095 100000 114271.2 114191.3333
DN10712163M 100000 116692.3 /

137Cs Calibration OSLs

OSLs for Linear Fit, 10/24/27
Run Time (s) Distance to Faceplate (cm) OSL # Total Exposed Dose (mR) Initial Dose (mRad) Measured Dose (mRad) Normalized Dose (mRad) Average Dose (mRad)
4977.83 30 DN08252102C 25000 7.210899 - - -
4977.83 30 DN08229824R 25000 9.84345 - - -
4977.83 30 DN08241536W 25000 9.042238 - - -


Run Time (s) Distance to Faceplate (cm) OSL # Total Exposed Dose (mR) Initial Dose (mRad) Measured Dose (mRad) Normalized Dose (mRad) Average Dose (mRad)
14933.5 30 DN08254785K 75000 70.16319 - - -
14933.5 30 DN08268309M 75000 70.50657 - - -
14933.5 30 DN08255639I 75000 67.87402 - - -

QC OSLs

OSL # Listed Dose (mRad) Measured Dose (mRad) Average Dose (mRad)
DN08264870R Unexposed 69.36198 \
DN082701640 Unexposed 77.25963 74.74153667
DN08269802P Unexposed 77.603 /
DN10712168C 1000 1235.238 \
DN10309170Q 1000 1223.106 1226.119667
DN102095379 1000 1220.015 /

Linear Fit

This fit was calculated using only the OSLs provided by Landauer for calibrating the OSL reader. [math] {\chi}^2 = 359.191[/math] [math] \text{# of Degrees of Freedom} = 13[/math]














Nanodot OSLS

Run 1, 10/12/17

Run Time (s) Distance to Faceplate (cm) Number of OSLs Total Exposed Dose (mR)
284.04 30.5cm 3 1476.92
OSL # Listed Dose (mRad) Measured Dose (mRad) Average Dose (mRad) Standard Deviation
DN08252102C Unexposed 1161.413 \
DN08241536W Unexposed 1064.58 1148.9367
DN08229824R Unexposed 1220.817 /

Run 2, 10/23/17

Run Time (s) Distance to Faceplate (cm) Number of OSLs Total Exposed Dose (mR)
114.187 20 3 1000
OSL # Initial Dose (mRad) Measured Dose (mRad) Normalized Dose (mRad) Average Dose (mRad)
DN07916645R 64.3258 911.6636 847.3378 \
DN08225747P 67.18726 981.7123 914.52504 839.0586133
DN07924836M 66.72943 822.9581 755.313 /

Run 3, 10/23/17

Run Time (s) Distance to Faceplate (cm) Number of OSLs Total Exposed Dose (mR)
153.75 40 3 500
OSL # Initial Dose (mRad) Measured Dose (mRad) Normalized Dose (mRad) Average Dose (mRad)
DN08229607R 66.84389 410.9068 344.06291 \
DN082562050 70.04873 398.2018 328.15307 327.0466833
DN07923435X 67.6451 375.6535 308.92407 /

Run 4

Run Time (s) Distance to Faceplate (cm) Number of OSLs Total Exposed Dose (mR)
- - -
OSL # Initial Dose (mRad) Measured Dose (mRad) Normalized Dose (mRad) Average Dose (mRad)
- - - \
- - - -
- - - /

Reproducibility with 137Cs

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