deletions | additions       diff --git a/After_background_was_removed_quadratic__.tex b/After_background_was_removed_quadratic__.tex  index 22d7d9a..86ee064 100644  --- a/After_background_was_removed_quadratic__.tex  +++ b/After_background_was_removed_quadratic__.tex 
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After background was removed, quadratic functions were fit to the different peaks and dips to get distinct $E_n$ values. Just like Neon and Mercury, once 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 9). 10). A linear fit was used to determine the lowest excitation energy since Argon is a low-density gas just like Neon and Mercury, and thus the mean free path was determined to be significant.  Linear functions were fit to the $\Delta E_n$ data in order to determine an intercept at $n=0.5$. The actual value for the lowest excitation level of  Argon I(from NIST ASD data)  is $11.548 eV$ and another one that is close at $11.6236 $11.55  eV$. It is possible for multiple energy states to be observed since the values are so close. This could be a potential explanation for some Another excited state  of the substructure seen in the Franck-Hertz curve for Argon.\\ Argon I exists at $11.62 ev$, and if $  \lambda$ is indeed significant (cite)