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William deleted Theoretically_the_measured_spacing_between__.tex
over 8 years ago
Commit id: 69f39e0795250c4ac6b55193f4116c4f955037aa
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Theoretically, the measured spacing between maxima or minima should increase linearly, due to the additional acceleration of electrons over the mean free path. If the electron beam has been accelerated to a potential that is equal to the discrete energy of the first excited level of Neon, inelastic collisions will occur. However, an electron must be close to a Neon atom in order for a collision to take place. The average distance that the electrons moves before the collision is known as the mean free path, $\lambda$. The electrons continue to gain energy over $\lambda$. If $\delta_{n}$ represents the energy gained by an electron over the mean free path, for $n$ inelastic collisions, the energy gained is:\\
\begin{equation}
\label{E_{n}}
E_{n}=n(E_{a}+\delta_{n})
\end{equation}
Given this equation the spacing between two minima or maxima should be given by:\\
\begin{equation}
\label{Equation} \Delta E_n = E_n - E_{n-1} = [1+ \frac{\lambda}{L} {(2n-1)}] E_a
\end{equation}
This equation is just of the form $\Delta E_{n}=A E_{a}$, where A is the constant, $A=[1+ \frac{\lambda}{L} {(2n-1)}]$. Thus the relationship between $\Delta E_{n}$ and $E_{a}$ is proportional, and the equation is linear.\\
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In_order_to_create_these__.tex
Neon_Argon_and_Mercury_were__.tex
section_Theory_cite_Melissinos_as__.tex
Theoretically_the_measured_spacing_between__.tex
sectionNeon__A_comme.tex
FloatBarrier__Data_w.tex
figures/Neon_graph/Neon_graph.png