deletions | additions       diff --git a/After_background_was_removed_quadratic__.tex b/After_background_was_removed_quadratic__.tex  index 86ee064..8a86925 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. 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 ($n$) of the peaks and dips and analyzed using a linear fit (Figure 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 is $11.55 eV$. (cite)  Another excited state of Argon I exists at $11.62 ev$, eV$,  and if $ \lambda$ is indeed significant (cite) is is entirely possible for electrons to gain energy over $\lambda$, and excite the $11.62 eV$ state, as well as the lowest energy state. However, there appears to be no resolvable fine structure in the F-H curve for Argon, so it was excluded from the analysis.