deletions | additions       diff --git a/After_removing_the_background_maxima__.tex b/After_removing_the_background_maxima__.tex  index 4aaba50..13c07f7 100644  --- a/After_removing_the_background_maxima__.tex  +++ b/After_removing_the_background_maxima__.tex 
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After removing the background, maxima and minima were found by fitting a quadratic function to a small range of data close to the perceived maximum and minimum values. This produces maxima and minima values with the smallest amount of error. Due to poor resolution, the last few peaks of the Franck-Hertz curve appear as points, and proved difficult to fit using a quadratic function.  Once these values were found, the measured spacings, ($\Delta E_{n}$), between the maxima and minima of the Franck-Hertz curve were plotted against the minimum order (n) ($n$)  of the peaks and dips and analyzed using a linear fit (Figure 7). The lowest excitation energy of Mercury was determined from the graph by finding the intercept of the linear fit at $n=0.5$. \begin{equation}  \begin{split}  E_a [eV] (Peaks) & = (0.1040\pm0.04)n + (4.573\pm0.19)\\