65 lines
2.2 KiB
TeX
65 lines
2.2 KiB
TeX
\section{Results and discussions}
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\subsection{Titanium}
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Fitting the peak around \SI{932}{keV} in the photon spectrum gives energies of the $2p_{3/2}-1s$ and $2p_{1/2}-1s$ transitions as \SI{932.5 \pm 0.9}{\keV} and \SI{930.4 \pm 1.1}{\keV}, respectively. These values are consistent with previously reported values by Wohlfahrt et al.~\cite{Wohlfahrt1981} given the isotopic abundance of the natural titanium target used in this experiment. The
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number of $(2p_{3/2}-1s)$ X-rays is:
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\begin{equation}
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N_{2p_{3/2}-1s} = (11881 \pm 591) \,.
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\end{equation}
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\begin{figure}[tbp]
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\centering
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\includegraphics[width=0.8\textwidth]{figs/ti_931keV_fit}
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\caption{Fitting $(2p-1s)$ peaks on \ce{^{nat}Ti}}
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\label{fig:ti_931keV_fit}
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\end{figure}
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Emission rates of K X-rays from titanium is listed in~\cref{tab:kXraysTi}.
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\begin{table}[tbp]
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\centering
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\caption{Emission rates of K X-rays from titanium}
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\label{tab:kXraysTi}
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\begin{tabular}{ccc}
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Transition & Energy [keV] & Rate [\%] \\
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$2p-1s$ & 932.4 & \num{78.9\pm2.5}\\
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$3p-1s$ & 1121.5 & \num{7.5\pm1.7}\\
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$4p-1s$ & 1187.9 & \num{3.2\pm1.0}\\
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$5p-1s$ & 1218.5 & \num{2.6\pm1.4}\\
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$6p-1s$ & 1235.2 & \num{3.2\pm1.9}\\
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\end{tabular}
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\end{table}
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\begin{figure}[tbp]
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\centering
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\includegraphics[width=0.8\textwidth]{figs/ti-kXrays.pdf}
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\caption{Muonic X-rays in the Lyman series from titanium}
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\label{fig:ti_kXrays}
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\end{figure}
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\subsection{Aluminum}
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\label{subsec:result_al}
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\begin{figure}[tbp]
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\centering
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\includegraphics[width=0.8\textwidth]{figs/al-kXrays.pdf}
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\caption{Muonic X-rays in the Lyman series from aluminum}
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\label{fig:al_kXrays}
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\end{figure}
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Emission rates of K X-rays from aluminum is listed in~\cref{tab:kXraysAl}.
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\begin{table}[tbp]
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\centering
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\caption{Emission rates of K X-rays from aluminum}
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\label{tab:kXraysAl}
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\begin{tabular}{cccc}
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Transition & Energy [keV] & Intensity (this experiment) [\%] & Intensity [\%]~\cite{Measday2007}\\
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$2p-1s$ & 346.8 & \num{83.1\pm3.5} & \num{79.8\pm0.8}\\
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$3p-1s$ & 412.8 & \num{7.71\pm0.29}& \num{7.6\pm1.5}\\
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$4p-1s$ & 435.9 & \num{4.79\pm0.18}& \num{4.9\pm1.0}\\
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$5p-1s$ & 446.6 & \num{3.81\pm0.14}& \num{3.9\pm1.0}\\
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$6p-1s$ & 452.4 & \num{2.24\pm0.13}& \num{2.2\pm1.0}\\
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\end{tabular}
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\end{table}
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