deletions | additions       diff --git a/sectionConcluding_Re.tex b/sectionConcluding_Re.tex  index 1a1101e..dfa6858 100644  --- a/sectionConcluding_Re.tex  +++ b/sectionConcluding_Re.tex 
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\section{Concluding Remarks}  Frank-Hertz curves for three distinct elements have been analyzed for the excitation energy of their lowest state. Of all three experiments done, Mercury and Argon were the closest to the expected NIST ASD data. Although the Neon data is inconsistent with A new method which included energy gained over  the expected values, it is likely that there were not enough data points to properly determine a trend mean free path $\lambda$ (first mentioned in \cite{Rapior_2006}) was essential in accurately determining $E_{a}$  for Neon, Argon, and Mercury. The model accurately describes  the graph behavior  of$\Delta E_n$ vs. $n$, which undermined  the accuracy experimental data, and gives values of $E_{a}$ that are consistent with accepted values  of the value for lowest  excitation energy. Furthermore it appeared as if despite being level of atoms of differing elements. Furthermore, Franck-Hertz curves obtained with  alow density gas,  Neon tube showed a systematic substructure, which can be explained by  themean free path was not significant. Therefore the value of  excitation of additional  energy might have been better estimated by using the short mean free path limit. Future experiments could possibly include multiple runs for the same element, better resolution - using smaller increments levels  of $V_{acc}$, or use different parameters in order to optimize neon above  the amount of peaks and dips seen before ionization. lowest excited state. .