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\subsection{Decay Length Estimation}   As a brief aside it should be noted that the increase in $\gamma\gamma$ events with increasing scintillator crystal length can be used a method for determining the radiation decay length through the material. For identical scintillator detectors we can calculate the increase in $\gamma\gamma$ event detection as a ratio with respect to number detected at a known value, such that     \begin{equation}   R = \frac{(1-e^{-Z/\lambda})^2}{(1-e^{-5/\lambda})}   \end{equation}  diff --git a/layout.md b/layout.md  index 3b017ed..0800332 100644  --- a/layout.md  +++ b/layout.md 
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ref table.tex  Standard Coincidence.tex  figures/standardctr/standardctr.svg  Interesting Aside.tex  figures/ratio/ratio.svg  Standard table.tex  Depth of Interaction.tex