deletions | additions       diff --git a/Neon_Argon_and_Mercury_were__.tex b/Neon_Argon_and_Mercury_were__.tex  index cb0c7c4..39fc793 100644  --- a/Neon_Argon_and_Mercury_were__.tex  +++ b/Neon_Argon_and_Mercury_were__.tex 
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Neon, Argon, and Mercury were tested in three independent experiments. Monatomic gases were used in order to prevent molecular transitions. If a molecular transition were to occur, it is likely that some of the energy lost in the inelastic collisions would results from molecules separating into singular atoms, thus complicating the analysis. A general circuit diagram for the experimental setup is shown in Figure 1, containing all the elements previously discussed. Figure 2 shows the specific circuits used in each experiment. They are all relatively similar, save a few specific modifications. Mercury is the only element for which a heating chamber is required, since it is a liquid at room temperature. Since Mercury is a liquid at room temperature, the heating chamber allows the Mercury to undergo a phase transition so that it is in a gaseous state. Once Mercury is in a gaseous state, electrons can collide with individual atoms, thus it becomes usable in this study. The mean free path, $\lambda$, is dependent on the cross section, $\rho$, $\sigma$,  of an interaction and the density, $N$. For mercury, $\lambda$ can be approximated using Eqn 1. \begin{equation}\label{eq:MeanFreePathMercury}   \lambda = \frac{k_{B}T}{\sqrt(2)\rho \frac{k_{B}T}{\sqrt(2)\sigma  P} \end{equation}  Thus by varying temperature and vapor pressure, the distance an electron travels before interacting with an atom will change. It should also be noticed that there is only one Grid used in the experiment with Mercury. This is solely a manufacturing decision, and does not effect the experiment.   \par For all elements, fixed value DC voltage sources and potentiometers were replaced by constant current/constant voltage power supplies with adjustable voltages. In order to obtain the resolution needed to see the complicated shape of the excitation curve the output voltage from a current preamplifier and the accelerating voltage were connected to two separate digital multimeters. Data was obtained for the monatomic gases using a graphing software called DANA, which is directly linked to the output of the Keithley 2100 multimeter (measuring $V_{acc}$) and the Keysight 34465A multimeter ($V_{out}$). Approximately 2000 data points were taken Not only was the current preamplifier introduced in the experimental setup for Neon and Argon in order to convert current to voltage but it was also used to reduce noise. Since the output of the current preamp was very noisy in the absence of a filter, a lowpass filter was introduced to remove frequencies above $30 Hz$. Further information about the sensitivity of the current preamp can be found in Tables 1 and 2. While some of this fine structure is clearly visible in the collected data, not enough data was collected for the observed fine structure to be quantifiable.