\chapter{Material Characterization}
\label{cha:material_characterization_c38p}

\section{Sample Preparation}
\label{sec:sample_preparation_c38p}

\section{Thermophysical Properties}
\label{sec:thermophysical_properties_c38p}

\begin{table}[htbp]
    \centering
    \begin{tabular}{S[table-format=4]SSSS[table-format=4]SSSS}\toprule
        {T} & {$c_p$} & {$\varepsilon^T$} & {$\alpha$} & {$\rho$} & {$D$} & {$D_corr$} & {$k$} & {$\rho_{el}$}\\
        {[\unit{\celsius}]} & {[\unit{\joule}]} & {[\unit{\percent}]} & {[\unit{10^{-6}\per\kelvin}]} & {[\unit{\kg\per\meter\cubed}]} & {[\unit{\mm\squared\per\second}]} & {[\unit{\mm\squared\per\second}]} & {[\unit{\watt\per\meter\per\kelvin}]} & {[\unit{\micro\ohm\m}]}  \\ \midrule
        20 &  \color{red}0.470 & 0 &  & 7797 & 10.27 & 10.27 & 37.6 & 0.283 \\
        100 & 0.495 & 0.096 & 11.997 & 7775 & 9.98 & 10 & 38.5 & 0.332 \\
        200 & 0.528 & 0.233 & 12.926 & 7743 & 9.33 & 9.38 & 38.4 & 0.402 \\
        300 & 0.563 & 0.380 & 13.572 & 7709 & 8.60 & 8.67 & 37.7 & 0.482 \\
        400 & 0.604 & 0.534 & 14.043 & 7674 & 7.77 & 7.85 & 36.4 & 0.573 \\
        500 & 0.657 & 0.691 & 14.391 & 7638 & 6.81 & 6.91 & 34.7 & 0.674 \\
        600 & 0.733 & 0.850 & 14.660 & 7601 & 5.74 & 5.84 & 32.5 & 0.781 \\
        700 & 0.878 & 1.010 & 14.853 & 7565 & 4.42 & 4.51 & 29.9 & 0.905 \\
        800 & 0.621 & 0.920 & 11.796 & 7586 & 5.44 & 5.55 & 26.1 & 1.068 \\
        900 & 0.634 & 1.142 & 12.979 & 7536 & 5.68 & 5.81 & 27.8 & 1.143 \\
        1000 & 0.644 & 1.370 & 13.984 & 7485 & 5.85 & 6.02 & 29.0 & 1.175 \\
        1100 &  \color{red}0.660 & 1.593 & 14.753 & 7436 & 6.05 & 6.24 & 30.6 & 1.212 \\
        1000 & 0.644 & 1.359 &  & 7488 & 5.93 & 6.09 & 29.4 &  \\
        900 & 0.634 & 1.127 &  & 7539 & 5.74 & 5.87 & 28.1 &  \\
        800 & 0.621 & 0.899 &  & 7591 & 5.53 & 5.63 & 26.5 &  \\
        700 & 0.878 & 0.696 &  & 7636 & 5.02 & 5.09 &  {\color{red}transf.} &  \\
        600 & 0.733 & 0.792 &  & 7615 & 5.79 & 5.88 & 32.8 &  \\
        500 & 0.657 & 0.628 &  & 7652 & 6.87 & 6.96 & 35.0 &  \\
        400 & 0.604 & 0.470 &  & 7688 & 7.80 & 7.87 & 36.5 &  \\
        300 & 0.563 & 0.317 &  & 7723 & 8.65 & 8.70 & 37.9 &  \\
        200 & 0.528 & 0.174 &  & 7757 & 9.42 & 9.45 & 38.7 &  \\
        100 & 0.495 & 0.039 &  & 7788 & 10.01 & 10.02 & 38.6 &  \\
        20 &  \color{red}0.470 & -0.076 &  & 7815 & 10.21 & 10.20 & 37.4 &  \\
         \bottomrule
    \end{tabular}
    \caption{The numbers highlighted in red denote where the specific heat capacity was extrapolated to room temperature, and to \qty{1100}{\celsius}.}
    \label{tab:results_c38p}
\end{table}

\begin{figure}[htbp]
    \centering
    \begin{tabular}{cc}
         \subfloat[Specific Heat Capacity]{\includegraphics[width=5cm]{Abbildungen/cp_38.png}}&\quad
         \subfloat[Density]{\includegraphics[width=5cm]{Abbildungen/rho_38.png}}\\
         \subfloat[Thermal Expansion]{\includegraphics[width=5cm]{Abbildungen/expan_38.png}}&\quad
         \subfloat[Thermal Expansion Coefficient]{\includegraphics[width=5cm]{Abbildungen/epsilon_T_38.png}}\\
         \subfloat[Thermal Diffusion]{\includegraphics[width=5cm]{Abbildungen/th_diff_38.png}}&\quad
         \subfloat[Thermal Conductivity]{\includegraphics[width=5cm]{Abbildungen/htc_38.png}}\\
         \subfloat[Electrical Resistivity]{\includegraphics[width=5cm]{Abbildungen/rhoe_38.png}}
    \end{tabular}
    \caption{The local discontinuities at \qtyrange{700}{800}{\celsius} are caused by $\alpha$-$\gamma$ transformation happening in that range.}
    \label{fig:c38p-char}
\end{figure}

\section{Mechanical Properties}
\label{sec:mechanical_properties_c38p}

see Publication 3

\section{Electromagnetic Properties}
\label{sec:electromagnetic_properties_c38p}