From equation 7 the intercept at \(n=0.5\) is found to be \(19.4eV\pm 4.2\). The value found for \(E_{a}\) using the short mean free limit (\(19.54\pm 1.48\)) does not match the expected value of \(E_{a}\) (\(16.6eV\)) for Neon I within uncertainty. However, the value found for \(E_{a}\) using the long mean free limit (\(19.4\pm 4.2\)) does match the expected value of \(E_{a}\) for Neon I within uncertainty. Thus we may conclude that although the values of \(\Delta E\) look equivalent in Figure 5, the mean free path may still be significant, since the long mean free limit better approximates the values of \(E_{a}\).