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\section{Conclusion}  We have presented an undergraduate experiment aimed at designing and understanding the physics and math behind studied  the Franck-Hertz experiment Experiment,  based on our textbook \cite{Melissinos_2003}. We studied the Franck-Hertz Experiment \cite{Melissinos_2003},  for two different atoms: neon and argon. We found the lowest excitation energy level for neon to occur at $19.4993 \pm 0.6$ eV. Whereas, we found the lowest excitation energy level for argon to occur at $10.7991 \pm 0.02$ eV. The argon data was shown to be the most precise measurements. We conclude that there must have been some systematic error for the neon experiment.