deletions | additions       diff --git a/The_fits_for_the.tex b/The_fits_for_the.tex  index e2695e4..a28cf36 100644  --- a/The_fits_for_the.tex  +++ b/The_fits_for_the.tex 
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\begin{split}  E_a [eV] (Peaks) &= (0.1386\pm0.06)n + (11.20\pm0.29)\\  E_a [eV] (Peaks) &=(0.1386\pm0.06)(0.5) + (11.20\pm0.29)\\  E_a [eV] (Peaks) &=11.1177\pm0.35 &=11.12\pm0.35  \end{split}  \end{equation} 
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\begin{split}  E_a [eV] (Dips) &= (0.1953\pm0.07)n + (11.02\pm0.31)\\  E_a [eV] (Dips) &=(0.1953\pm0.07)(0.5) + (11.02\pm0.31)\\  E_a [eV] (Dips) &=11.3593\pm0.38 &=11.36\pm0.38  \end{split}  \end{equation}  The value of $\Delta E_n (0.5)$ $E_a$  for the peaks was found to be $11.1177eV$ $11.12\pm0.35eV$  and for the dips was found to be $11.3593eV$. $11.36\pm0.38eV$.  These values are consistent with the NIST ASD data for excitation energy of the lowest energy level ($11.6236eV$ and $11.548 eV$). The percent error of the peak values is $3.9\%$ and the percent error of the dip values is $2.8 \%$. Therefore the values found from the linear fit of $\Delta E_{n}$ vs $n$ are consistent with the expected values for Argon.