Dose Calculations and 137Cs Shot Log

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)	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)	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)
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)	Average Dose (mRad)
DN07916645R	64.3258	911.6636	\
DN08225747P	67.18726	981.7123	905.4446667
DN07924836M	66.72943	822.9581	/

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)	Average Dose (mRad)
DN08229607R	66.84389	410.9068	\
DN082562050	70.04873	398.2018	394.9207
DN07923435X	67.6451	375.6535	/

Run 4

Run Time (s)	Distance to Faceplate (cm)	Number of OSLs	Total Exposed Dose (mR)
	-	-	-

OSL #	Initial Dose (mRad)	Measured Dose (mRad)	Average Dose (mRad)
	-	-	\
	-	-	-
	-	-	/

Reproducibility with 137Cs