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\begin{abstract}  The quantization of energy states of neon and argon are measured and analyzed in the Franck-Hertz experiment. The main idea of the Franck Hertz experiment is to demonstrate that energy levels are quantized and discrete within atoms by obtaining Franck Hertz curves. Franck-Hertz curves are linearly increasing curves but their minimas are not equally spaced due to the transfer of energy during collisions. And this idea that an atom occupies one of the atom's "quantum energy levels" is consistent with Niel Bohr's model. Our experiment precisely illustrates the key concept of the Franck-Hertz Experiment. We found the discrete energy levels of neon to occur at $16.66 \pm 0.51$ eV, which is consistent with the value recorded on NIST (16.62eV) ($16.62eV$)  within uncertainty. Whereas, for argon it occurs at $10.80 \pm 0.02$ eV, which is slightly smaller than the value recorded on NIST website (11.55eV). ($11.55eV$).  \end{abstract}