diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..181d655 --- /dev/null +++ b/.gitignore @@ -0,0 +1 @@ +.~lock* diff --git a/paper/main.tex b/paper/main.tex index 9e9535a..7586e99 100644 --- a/paper/main.tex +++ b/paper/main.tex @@ -21,10 +21,9 @@ \usepackage{rotating} \newcolumntype{C}[1]{>{\centering\arraybackslash}m{#1}} \usepackage{multirow} -\newcommand{\tworow}[1]{\multirow{2}{*}{#1}} -\newcommand{\tableheader}[1]{\rotatebox{90}{\parbox{3cm}{\centering \textbf{#1}}}} \usepackage{makecell} \usepackage{amsmath} +\usepackage{tabularx} \begin{document} @@ -116,67 +115,275 @@ Thus, we divide the phonons of defect-free 4H-SiC into three categories: \section{A little more on appendixes} -\begin{table} +\begin{sidewaystable} \centering - \caption{Title} - \begin{tabular}{ C{1.5cm} | C{2cm} | C{2cm} | C{2.5cm} | C{3cm} | C{3cm} | C{3cm} | C{3cm} | C{2cm} | C{2cm} | } - \hline - \tableheader{Direction of Incident \& Scattered Light} - & \tableheader{Number of Phonon} - & \tableheader{Vibration Direction} - & \tableheader{Representation in Group $\mathrm{C_{6v}}$} - & \tableheader{Might Visible in Polarization} - & \tableheader{Raman Intensity (a.u.)} - & \tableheader{Wavenumber (Simulation) ($\mathrm{cm^{-1}}$)} - & \tableheader{Wavenumber (Experiment) ($\mathrm{cm^{-1}}$)} - & \tableheader{Electrical Polarity} - & \tableheader{Visible in Common Raman Experiment} \\ - \hline - \multirow{10}{*}{\rotatebox{90}{\parbox{5cm}{\centering Any direction \\ (not depend on direction of incident \& scattered light)}}} - % E2 - & 1 & x & \tworow{$\mathrm{E_2}$} & xy & \tworow{0.17} & \tworow{190.51} & \tworow{195.5} & - \tworow{None} & \tworow{Yes} \\ \cline{2-3} \cline{5-5} - & 2 & y & & xx \& yy & & & & & \\ \hline - % E2 - & 3 & x & \tworow{$\mathrm{E_2}$} & xy & \tworow{1.13} & \tworow{197.84} & \tworow{203.3} & - \tworow{None} & \tworow{Yes} \\ \cline{2-3} \cline{5-5} - & 4 & y & & xx \& yy & & & & & \\ \hline - % E1 - & 5 & x & \tworow{$\mathrm{E_1}$} & xz & \tworow{2.43} & \tworow{257.35} & \tworow{265.7} & - \tworow{Weak} & \tworow{Yes} \\ \cline{2-3} \cline{5-5} - & 6 & y & & yz & & & & & \\ \hline - % 2B1 - & 7 & z & $\mathrm{B_1}$ & - & 0 & 389.96 & - & None & No \\ \hline - & 8 & z & $\mathrm{B_1}$ & - & 0 & 397.49 & - & None & No \\ \hline - % A1 - & \tworow{9} & \tworow{z} & \tworow{$\mathrm{A_1}$} & xx \& yy & 2.83 & - \tworow{591.90} & \tworow{609.5} & \tworow{Weak} & \tworow{Yes} \\ \cline{5-6} - & & & & zz & 1.79 & & & & \\ \hline - % E1 - & 10 & x & \tworow{$\mathrm{E_1}$} & xz & \tworow{0.09} & \tworow{746.91} & \tworow{-} & - \tworow{Weak} & \tworow{No} \\ \cline{2-3} \cline{5-5} - & 11 & y & & yz & & & & & \\ \hline - % E2 - & 12 & x & \tworow{$\mathrm{E_2}$} & xy & \tworow{88.54} & \tworow{756.25} & \tworow{776} & - \tworow{None} & \tworow{Yes} \\ \cline{2-3} \cline{5-5} - & 13 & y & & xx \& yy & & & & & \\ \hline - % E2 - & 14 & x & \tworow{$\mathrm{E_2}$} & xy & \tworow{0.50} & \tworow{764.33} & \tworow{-} & - \tworow{None} & \tworow{No} \\ \cline{2-3} \cline{5-5} - & 15 & y & & xx \& yy & & & & & \\ \hline - % A1 - & \tworow{16} & \tworow{z} & \tworow{$\mathrm{A_1}$} & xx \& yy & 0.01 & - \tworow{812.87} & \tworow{839} & \tworow{Weak} & \tworow{Yes} \\ \cline{5-6} - & & & & zz & 1.78 & & & & \\ \hline - % 2B1 - & 17 & z & $\mathrm{B_1}$ & - & 0 & 885.68 & - & None & No \\ \hline - & 18 & z & $\mathrm{B_1}$ & - & 0 & 894.13 & - & None & No \\ \hline - % E1+A1 - 19-21 & \multicolumn{6}{c|}{Depend on direction of incident and scattered light} & Strong & Yes \\ \hline - \end{tabular} + { + \newcommand{\tworow}[1]{\multirow{2}{*}{#1}} + \newcommand{\twocol}[1]{\multicolumn{2}{C{1cm}|}{#1}} + \newcommand{\threecol}[1]{\multicolumn{3}{C{1.5cm}|}{#1}} + \newcommand{\allcol}[1]{\multicolumn{26}{C{15cm}|}{#1}} + \caption{Title} + \begin{tabular}{ + | C{4cm} % header + | C{0.5cm} | C{0.5cm} | C{0.5cm} % E2 + | C{0.5cm} | C{0.5cm} | C{0.5cm} % E2 + | C{0.5cm} | C{0.5cm} % E1 + | C{1cm} | C{1cm} % 2B1 + | C{0.5cm} | C{0.5cm} | C{0.5cm} % A1 + | C{0.5cm} | C{0.5cm} % E1 + | C{0.5cm} | C{0.5cm} | C{0.5cm} % E2 + | C{0.5cm} | C{0.5cm} | C{0.5cm} % E2 + | C{0.5cm} | C{0.5cm} | C{0.5cm} % A1 + | C{1cm} | C{1cm} % 2B1 + | } + \hline + \textbf{Number of Phonon} + & 1 & \twocol{2} % E2 + & 3 & \twocol{4} % E2 + & 5 & 6 % E1 + & 7 & 8 % 2B1 + & \threecol{9} % A1 + & 10 & 11 % E1 + & 12 & \twocol{13} % E2 + & 14 & \twocol{15} % E2 + & \threecol{16} % A1 + & 17 & 18 % 2B1 + \\ \hline + \textbf{Direction of Incident \& Scattered Light} + & \allcol{\makecell{Any direction \\ (not depend on direction of incident \& scattered light)}} + \\ \hline + \textbf{Vibration Direction} + & x & \twocol{y} % E2 + & x & \twocol{y} % E2 + & x & y % E1 + & z & z % 2B1 + & \threecol{z} % A1 + & x & y % E1 + & x & \twocol{y} % E2 + & x & \twocol{y} % E2 + & \threecol{z} % A1 + & z & z % 2B1 + \\ \hline + \textbf{Representation in Group $\mathrm{C_{6v}}$} + & \threecol{$\mathrm{E_2}$} + & \threecol{$\mathrm{E_2}$} + & \twocol{$\mathrm{E_1}$} + & $\mathrm{B_1}$ & $\mathrm{B_1}$ + & \threecol{$\mathrm{A_1}$} + & \twocol{$\mathrm{E_1}$} + & \threecol{$\mathrm{E_2}$} + & \threecol{$\mathrm{E_2}$} + & \threecol{$\mathrm{A_1}$} + & $\mathrm{B_1}$ & $\mathrm{B_1}$ + \\ \hline + \textbf{Scattering in Polarization} + & xy & xx & yy % E2 + & xy & xx & yy % E2 + & xz & yz % E1 + & - & - % 2B1 + & xx & yy & zz % A1 + & xz & yz % E1 + & xy & xx & yy % E2 + & xy & xx & yy % E2 + & xx & yy & zz % A1 + & - & - % 2B1 + \\ \hline + \textbf{Raman Intensity (a.u.)} + & \threecol{$0.17$} % E2 + & \threecol{$1.13$} % E2 + & \twocol{$2.43$} % E1 + & $0$ & $0$ % 2B1 + & \twocol{$2.83$} & $1.79$ % A1 + & \twocol{$0.09$} % E1 + & \threecol{$88.54$} % E2 + & \threecol{$0.50$} % E2 + & \twocol{$0.01$} & $1.78$ % A1 + & $0$ & $0$ % 2B1 + \\ \hline + \textbf{Visible in Common Raman Experiment} + & \threecol{Yes} % E2 + & \threecol{Yes} % E2 + & \twocol{Yes} % E1 + & No & No % 2B1 + & \threecol{Yes} % A1 + & \twocol{No} % E1 + & \threecol{Yes} % E2 + & \threecol{No} % E2 + & \twocol{No} & Yes % A1 + & No & No % 2B1 + \\ \hline + \textbf{Wavenumber (Simulation) ($\mathrm{cm^{-1}}$)} + & \threecol{$190.51$} % E2 + & \threecol{$190.51$} % E2 + & \twocol{$257.35$} % E1 + & $389.96$ & $389.96$ % 2B1 + & \threecol{$591.90$} % A1 + & \twocol{$746.91$} % E1 + & \threecol{$756.25$} % E2 + & \threecol{$764.33$} % E2 + & \threecol{$812.87$} % A1 + & $885.68$ & $894.13$ % 2B1 + \\ \hline + \textbf{Wavenumber (Experiment) ($\mathrm{cm^{-1}}$)} + & \threecol{$195.5$} % E2 + & \threecol{$203.3$} % E2 + & \twocol{$269.7$} % E1 + & - & - % 2B1 + & \threecol{$609.5$} % A1 + & \twocol{-} % E1 + & \threecol{$776$} % E2 + & \threecol{-} % E2 + & \twocol{-} & $839$ % A1 + & - & - % 2B1 + \\ \hline + \textbf{Electrical Polarity} + & \threecol{None} % E2 + & \threecol{None} % E2 + & \twocol{Weak} % E1 + & None & None % 2B1 + & \threecol{Weak} % A1 + & \twocol{Weak} % E1 + & \threecol{None} % E2 + & \threecol{None} % E2 + & \threecol{Weak} % A1 + & None & None % 2B1 + \\ \hline + \end{tabular} + } + { + \newcommand{\tworow}[1]{\multirow{2}{*}{#1}} + \newcommand{\twocol}[1]{\multicolumn{2}{C{1cm}|}{#1}} + \newcommand{\threecol}[1]{\multicolumn{3}{C{1.5cm}|}{#1}} + \newcommand{\allcol}[1]{\multicolumn{26}{C{15cm}|}{#1}} + \caption{Title} + \begin{tabular}{ + | C{4cm} % header + | C{0.5cm} | C{0.5cm} | C{0.5cm} % E2 + | C{0.5cm} | C{0.5cm} | C{0.5cm} % E2 + | C{0.5cm} | C{0.5cm} % E1 + | C{1cm} | C{1cm} % 2B1 + | C{0.5cm} | C{0.5cm} | C{0.5cm} % A1 + | C{0.5cm} | C{0.5cm} % E1 + | C{0.5cm} | C{0.5cm} | C{0.5cm} % E2 + | C{0.5cm} | C{0.5cm} | C{0.5cm} % E2 + | C{0.5cm} | C{0.5cm} | C{0.5cm} % A1 + | C{1cm} | C{1cm} % 2B1 + | } + \hline + \textbf{Number of Phonon} + & 1 & \twocol{2} % E2 + & 3 & \twocol{4} % E2 + & 5 & 6 % E1 + & 7 & 8 % 2B1 + & \threecol{9} % A1 + & 10 & 11 % E1 + & 12 & \twocol{13} % E2 + & 14 & \twocol{15} % E2 + & \threecol{16} % A1 + & 17 & 18 % 2B1 + \\ \hline + \textbf{Direction of Incident \& Scattered Light} + & \allcol{\makecell{Any direction \\ (not depend on direction of incident \& scattered light)}} + \\ \hline + \textbf{Vibration Direction} + & x & \twocol{y} % E2 + & x & \twocol{y} % E2 + & x & y % E1 + & z & z % 2B1 + & \threecol{z} % A1 + & x & y % E1 + & x & \twocol{y} % E2 + & x & \twocol{y} % E2 + & \threecol{z} % A1 + & z & z % 2B1 + \\ \hline + \textbf{Representation in Group $\mathrm{C_{6v}}$} + & \threecol{$\mathrm{E_2}$} + & \threecol{$\mathrm{E_2}$} + & \twocol{$\mathrm{E_1}$} + & $\mathrm{B_1}$ & $\mathrm{B_1}$ + & \threecol{$\mathrm{A_1}$} + & \twocol{$\mathrm{E_1}$} + & \threecol{$\mathrm{E_2}$} + & \threecol{$\mathrm{E_2}$} + & \threecol{$\mathrm{A_1}$} + & $\mathrm{B_1}$ & $\mathrm{B_1}$ + \\ \hline + \textbf{Scattering in Polarization} + & xy & xx & yy % E2 + & xy & xx & yy % E2 + & xz & yz % E1 + & - & - % 2B1 + & xx & yy & zz % A1 + & xz & yz % E1 + & xy & xx & yy % E2 + & xy & xx & yy % E2 + & xx & yy & zz % A1 + & - & - % 2B1 + \\ \hline + \textbf{Raman Intensity (a.u.)} + & \threecol{$0.17$} % E2 + & \threecol{$1.13$} % E2 + & \twocol{$2.43$} % E1 + & $0$ & $0$ % 2B1 + & \twocol{$2.83$} & $1.79$ % A1 + & \twocol{$0.09$} % E1 + & \threecol{$88.54$} % E2 + & \threecol{$0.50$} % E2 + & \twocol{$0.01$} & $1.78$ % A1 + & $0$ & $0$ % 2B1 + \\ \hline + \textbf{Visible in Common Raman Experiment} + & \threecol{Yes} % E2 + & \threecol{Yes} % E2 + & \twocol{Yes} % E1 + & No & No % 2B1 + & \threecol{Yes} % A1 + & \twocol{No} % E1 + & \threecol{Yes} % E2 + & \threecol{No} % E2 + & \twocol{No} & Yes % A1 + & No & No % 2B1 + \\ \hline + \textbf{Wavenumber (Simulation) ($\mathrm{cm^{-1}}$)} + & \threecol{$190.51$} % E2 + & \threecol{$190.51$} % E2 + & \twocol{$257.35$} % E1 + & $389.96$ & $389.96$ % 2B1 + & \threecol{$591.90$} % A1 + & \twocol{$746.91$} % E1 + & \threecol{$756.25$} % E2 + & \threecol{$764.33$} % E2 + & \threecol{$812.87$} % A1 + & $885.68$ & $894.13$ % 2B1 + \\ \hline + \textbf{Wavenumber (Experiment) ($\mathrm{cm^{-1}}$)} + & \threecol{$195.5$} % E2 + & \threecol{$203.3$} % E2 + & \twocol{$269.7$} % E1 + & - & - % 2B1 + & \threecol{$609.5$} % A1 + & \twocol{-} % E1 + & \threecol{$776$} % E2 + & \threecol{-} % E2 + & \twocol{-} & $839$ % A1 + & - & - % 2B1 + \\ \hline + \textbf{Electrical Polarity} + & \threecol{None} % E2 + & \threecol{None} % E2 + & \twocol{Weak} % E1 + & None & None % 2B1 + & \threecol{Weak} % A1 + & \twocol{Weak} % E1 + & \threecol{None} % E2 + & \threecol{None} % E2 + & \threecol{Weak} % A1 + & None & None % 2B1 + \\ \hline + \end{tabular} + } \label{tab:phonon} -\end{table} - +\end{sidewaystable} \end{document} - diff --git a/paper/table.ods b/paper/table.ods new file mode 100644 index 0000000..68f4d1d Binary files /dev/null and b/paper/table.ods differ