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\begin{centering}  \textbf{Abstract}  \end{centering)  \begin{centering}  \par The lowest excitation energy of the elements Neon, Mercury, and Argon was determined by analyzing the fundamental properties of the signal structure in the Franck-Hertz experiment. In order to accurately determine the lowest excitation energy a new method proposed in \cite{Rapior_2006} was employed. The main idea is that the spacings between the minima in the Franck Hertz curve increase linearly due to the additional acceleration over the mean free path. Therefore a linear fit was applied to graphs of spacings $\Delta E$ versus minimum order $n$. The fit estimated the lowest excitation energies of Neon ($19.54\pm1.48 eV$), Mercury ($4.72\pm.25 eV$), and Argon ($11.36\pm.38 eV$) accurately within experimental uncertainty.   \end{centering}