deletions | additions       diff --git a/Method 2.tex b/Method 2.tex  index e461352..bf2d26d 100644  --- a/Method 2.tex  +++ b/Method 2.tex 
...
$\gamma$ events falling within $2\sigma$ of the photopeak centroid of their respective energy spectra are selected. This narrow range is chosen to drastically reduce the contribution of overlapping Compton interactions despite losing some photoelectric events. Events matching these criteria are grouped to produce a subset of data solely due $\gamma\gamma$ correlations. The difference in arrival time between $\gamma\gamma$ pairs is histogrammed to produce a Gaussian distribution. This will be referred to as the (relative) delay peak. For two identical photodetectors the FWHM of the delay peak is defined as the coincidence time resolution (CTR), such that  \begin{align}  \text{CTR} = 2\sqrt{2\ln{2}}\sigma_\textrm{measured} \label{eqn:trtoctr}  \end{align}  where $\sigma_\textrm{measured}$ is the scale parameter measured from the delay peak. This relationship is due to the convolution of two identical Gaussian distributions corresponding to the individual scintillator detectors. In cases where we use a reference scintillator detector with a known time resolution, the CTR of an unknown scintillator detector is determined by subtraction in quadrature and a subsequent scaling such that