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Nathanael A. Fortune added The_lowest_excitation_energy_of__.tex
over 8 years ago
Commit id: ace0419caf6ea55e038b643b711c61aadf5143ff
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The lowest excitation energy of Neon was determined from the graph by finding the intercept of the linear fit at $n=0.5$. The value of the excitation energy found from the linear fit was then compared to the known value of the lowest excitation energy for Neon I ($16.61906936eV$ - taken from NIST ASD data).
The fits for the peaks and dips are:
\begin{equation}
E_n [eV] (Peaks) = (4.510\pm0.00)n + (9.950\pm0)
\end{equation}
\begin{equation}
E_n [eV] (Dips) = (-0.170\pm1.0)n + (19.45\pm3.2)
\end{equation}
As seen in Figure 4 the intercept at $n=0.5$ is $12.5 eV$, which is quite different from the expect value of $16.61906936eV$. For the dips it is a little bit better at a value of $~19eV$. It is unlikely that even with the inclusion of error, the measured value for the lowest excited energy would match the expected value. This may be because the Franck-Hertz curve collected only had 3 dip values and 2 peak values. Had more dips and peaks been observed before ionization, the intercept at $n=(0.5)$ might have been closer to the expected value.
