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\section{Theory}  Contrast two predictions: me as well as many other resources on the Franck-Hertz experiment uphold the idea that the energy spacings between consecutive dips is constant. This would be true if the mean free path was small enough to be insignificant. in the short mean free path limit,  in the short mean free path limit,   \begin{equation}\label{eq:ShortMeanFreePath}   \Delta E_{\textrm{atom}} = \Delta E_{\textrm{electron}} \textrm{ [eV]}  \end{equation}  For a high density gas,  in long mean free path limit,   \begin{equation}\label{eq:LongMeanFreePath}   \Delta E__{\textrm{atom, n}} = E_n - E_{n-1} = [1+ \frac{\lambda}{L} {(2n-1)}] E_a \textrm{ [eV]}