Difference between revisions of "Dose Calculations and 137Cs Shot Log"

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Source Calibration and Dose Rate Data
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=Source Calibration and Dose Rate Data=
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{| border="2" style="text-align:center;" |cellpadding="20" cellspacing="0  
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:{| border="2" style="text-align:center;" |cellpadding="20" cellspacing="0  
 
|-
 
|-
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|  Date  ||  Initial Source Strength (Ci) || Current Source Strength (Ci) ||  Distance to Source (cm) || Exposure Rate (Roentgen/hr)
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|  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
 
|6/27/17 || 20 ||  9.3 || 30.5||  17.691
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Calculated by TSO  
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&deg;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)} = .33 \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
  
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Total exposures are calculated by <math>\int\limits_{t_0}^{t_f}\dot R\ dt </math>
  
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{| border="2" style="text-align:center;" |cellpadding="20" cellspacing="0  
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=137Cs Shot Log=
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==Dot OSLs==
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:{| border="2" style="text-align:center;" |cellpadding="20" cellspacing="0  
 
|-
 
|-
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|  Date  ||  Run Number ||  Run Time (s)  ||  Distance to Source || Number of OSLs in Stack  
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|  Date  ||  Run Number ||  Run Time (s)  ||  Distance to Faceplate || Number of OSLs in Stack || Exposure Rate (R/hr) || Total Exposed Dose (mR)
 
|-
 
|-
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|9/8/17 || 1 ||  5660  || 30cm || 11  
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|9/8/17 || 1 ||  5660  || 30cm || 11 || 18.7188 || 30148.8
 
|-
 
|-
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|9/8/17 || 1 || 5660 || 30cm || 11  
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|9/8/17 || 1 || 5660 || 30cm || 11 || 18.7188 || 30148.8
 
|-
 
|-
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|9/26/17 || 2 ||  4500  || 30cm || 11  
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|9/26/17 || 2 ||  4500  || 30cm || 11 || 18.7188 || 23398.6
 
|-
 
|-
−
|9/26/17 || 2 || 4500 || 30cm || 11  
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|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==
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===Calibration OSLs===
  
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====Landauer Dosed OSLs====
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:{| border="2" style="text-align:center;" |cellpadding="20" cellspacing="0
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|-
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|OSL # || Listed Dose (mRad) || Measured Dose (mRad) || Average Dose (mRad)
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|-
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|DN08276339J || Unexposed || 71.19332 || \
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|-
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|DN08276683L || Unexposed || 70.39211 || 72.10899
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|-
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|DN08258554P || Unexposed || 74.74154 || /
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|-
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|DN10806640H || 500 || 687.3246 || \
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|-
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|DN10608908Z || 500 || 681.0294 || 683.2422333
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|-
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|DN10806620J || 500 || 681.3727 || /
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|-
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|DN105057582 || 3000 || 3563.558 || \
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|-
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|DN104085766 || 3000 || 3522.352 || 3567.258333
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|-
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|DN10608909X || 3000 || 3615.865 || /
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|-
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|DN108066085 || 50000 || 55966.55 || \
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|-
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|DN103091798 || 50000 || 55420.36 || 55622.12
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|-
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|DN104086665 || 50000 || 55479.45 || /
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|-
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|DN10606601L || 100000 || 111610.5 || \
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|-
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|DN106066095 || 100000 || 114271.2 || 114191.3333
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|-
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|DN10712163M || 100000 || 116692.3 || /
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|-
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|}
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 +
====137Cs Calibration OSLs====
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 +
=====OSLs for Linear Fit, 10/24/27=====
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 +
:{| border="2" style="text-align:center;" |cellpadding="20" cellspacing="0
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|-
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| Run Time (s)  ||  Distance to Faceplate (cm)  || OSL # || Total Exposed Dose (mR) || Initial Dose (mRad) || Measured Dose (mRad) || Normalized Dose (mRad) || Average Dose (mRad)
 +
|-
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|4977.83 || 30 || DN08252102C || 25000 || 7.210899 || - || - || -
 +
|-
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| 4977.83 || 30 || DN08229824R|| 25000 || 9.84345 || - || - || -
 +
|-
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| 4977.83 || 30 || DN08241536W || 25000 || 9.042238 || - || - || -
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|-
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|}
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 +
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:{| border="2" style="text-align:center;" |cellpadding="20" cellspacing="0
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|-
 +
| Run Time (s)  ||  Distance to Faceplate (cm)  || OSL # || Total Exposed Dose (mR) || Initial Dose (mRad) || Measured Dose (mRad) || Normalized Dose (mRad) || Average Dose (mRad)
 +
|-
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| 12955.7 || 30 || DN08254785K || 63515.9 || 70.16319 || - || - || -
 +
|-
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| 12955.7 || 30 || DN08268309M || 63515.9 || 70.50657 || - || - || -
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|-
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| 12955.7 || 30 || DN08255639I || 63515.9 || 67.87402 || - || - || -
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|-
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|}
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 +
===QC OSLs===
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:{| border="2" style="text-align:center;" |cellpadding="20" cellspacing="0
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|-
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|OSL # || Listed Dose (mRad) || Measured Dose (mRad) || Average Dose (mRad)
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|-
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|DN08264870R || Unexposed || 69.36198 || \
 +
|-
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|DN082701640 || Unexposed || 77.25963 || 74.74153667
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|-
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|DN08269802P || Unexposed || 77.603 || /
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|-
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|DN10712168C || 1000 || 1235.238 || \
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|-
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|DN10309170Q || 1000 || 1223.106 || 1226.119667
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|-
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|DN102095379 || 1000 || 1220.015 || /
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|-
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|}
 +
 +
===Linear Fit===
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:[[File:OSL_CalOnly_LinFit.png|400px|thumb|left|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>  ]]
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==Nanodot OSLS==
 +
 +
===Run 1, 10/12/17===
 +
 +
:{| border="2" style="text-align:center;" |cellpadding="20" cellspacing="0
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|-
 +
| Run Time (s)  ||  Distance to Faceplate (cm)  || Number of OSLs || Total Exposed Dose (mR)
 +
|-
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| 284.04  || 30.5cm || 3 || 1476.92
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|-
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|}
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 +
:{| border="2" style="text-align:center;" |cellpadding="20" cellspacing="0
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|-
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|OSL # || Listed Dose (mRad) || Measured Dose (mRad) || Average Dose (mRad) || Standard Deviation
 +
|-
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|DN08252102C || Unexposed || 1161.413 || \ ||
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|-
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|DN08241536W || Unexposed || 1064.58 || 1148.9367 || 78.8622
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|-
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| DN08229824R || Unexposed || 1220.817 || / ||
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|-
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|}
  
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===Run 2, 10/23/17===
  
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:{| border="2" style="text-align:center;" |cellpadding="20" cellspacing="0
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|-
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|  Run Time (s)  ||  Distance to Faceplate (cm)  || Number of OSLs || Total Exposed Dose (mR)
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|-
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|  114.187  || 20 || 3 || 1000
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|-
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|}
  
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:{| border="2" style="text-align:center;" |cellpadding="20" cellspacing="0
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|-
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|OSL # || Initial Dose (mRad) || Measured Dose (mRad) || Normalized Dose (mRad) || Average Dose (mRad) || Standard Deviation
 +
|-
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| DN07916645R || 64.3258 || 911.6636 || 847.3378 || \ ||
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|-
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| DN08225747P || 67.18726 || 981.7123 || 914.52504 || 839.0586133 || 79.9283
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|-
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| DN07924836M  || 66.72943 ||822.9581 || 755.313 || / ||
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|-
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|}
  
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===Run 3, 10/23/17===
  
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:{| border="2" style="text-align:center;" |cellpadding="20" cellspacing="0
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|-
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|  Run Time (s)  ||  Distance to Faceplate (cm) || Number of OSLs || Total Exposed Dose (mR)
 +
|-
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|  153.75  || 40 || 3 || 500
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|-
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|}
  
 +
:{| border="2" style="text-align:center;" |cellpadding="20" cellspacing="0
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|-
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|OSL # || Initial Dose (mRad) || Measured Dose (mRad) || Normalized Dose (mRad) || Average Dose (mRad) || Standard Deviation
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|-
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| DN08229607R || 66.84389 || 410.9068 || 344.06291 || \ ||
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|-
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| DN082562050 || 70.04873 || 398.2018 || 328.15307 || 327.0466833 || 17.5955
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|-
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| DN07923435X || 67.6451 || 375.6535 || 308.92407 || / ||
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|-
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|}
  
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===Run 4===
  
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:{| border="2" style="text-align:center;" |cellpadding="20" cellspacing="0
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|-
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|  Run Time (s)  ||  Distance to Faceplate (cm)  || Number of OSLs || Total Exposed Dose (mR)
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|-
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|  || - || - || -
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|-
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|}
  
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:{| border="2" style="text-align:center;" |cellpadding="20" cellspacing="0
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|-
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|OSL # || Initial Dose (mRad) || Measured Dose (mRad) || Normalized Dose (mRad) || Average Dose (mRad)
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|-
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|  || - || - || - || \
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|-
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|  || - || - || - || -
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|-
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|  || - || - || - || /
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|-
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|}
  
 
[[Reproducibility with 137Cs]]
 
[[Reproducibility with 137Cs]]

Latest revision as of 22:05, 24 October 2017

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)} = .33 \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)
12955.7 30 DN08254785K 63515.9 70.16319 - - -
12955.7 30 DN08268309M 63515.9 70.50657 - - -
12955.7 30 DN08255639I 63515.9 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 78.8622
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) Standard Deviation
DN07916645R 64.3258 911.6636 847.3378 \
DN08225747P 67.18726 981.7123 914.52504 839.0586133 79.9283
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) Standard Deviation
DN08229607R 66.84389 410.9068 344.06291 \
DN082562050 70.04873 398.2018 328.15307 327.0466833 17.5955
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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