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Summary of Point groups.tex
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Summary of Point groups.tex
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\documentclass[12pt]{article}
\usepackage{multirow}
\usepackage[margin=1in]{geometry}
\begin{document}
\renewcommand{\arraystretch}{1.1}
\begin{table}[h]
\centering
\caption{The 32 Crystallographic Point Groups}
\small
\begin{tabular}{lcccc}
\hline
\textbf{Crystal} & \textbf{Laue Class} & \multicolumn{2}{l}{\textbf{Hermann-Mauguin}} & \textbf{Schoenflies}\\
\textbf{System} & & \textbf{Full} & \textbf{Short } & \\
\hline
\hline
\multirow{2}{*}{Triclinic} & \multirow{2}{*}{$\overline{1}$} & $1$ & $1$ & $C_1$\\
& & $\overline{1}$ & $\overline{1}$ & $C_i = S_2$ \\
\hline
\multirow{3}{*}{Monoclinic} & \multirow{3}{*}{$\displaystyle \frac{2}{m}$} & $2$ & $2$ & $C_2$\\
& & $m$ & $m$ & $C_s = C_{1h}$ \\
& & $\displaystyle \frac{2}{m}$ & $\displaystyle \frac{2}{m}$ & $C_{2h}$ \\[1.5ex]
\hline
\multirow{3}{*}{Orthorhombic} & \multirow{3}{*}{$mmm$} & $222$ & $222$ & $D_2$\\
& & $mm2$ & $mm2$ & $C_{2v}$ \\
& & $\displaystyle \frac{2}{m}\frac{2}{m}\frac{2}{m}$ & $mmm$ & $D_{2h}$ \\[1.5ex]
\hline
\multirow{7}{*}{Tetragonal} & \multirow{3}{*}{$\displaystyle \frac{4}{m}$} & $4$ & $4$ & $C_4$\\
& & $\overline{4}$ & $\overline{4}$ & $S_4$ \\
& & $\displaystyle \frac{4}{m}$ & $\displaystyle \frac{4}{m}$ & $C_{4h}$ \\[1.5ex]
\cline{2-5}
& \multirow{4}{*}{$\displaystyle \frac{4}{m}mm$} & $422$ & $422$ & $D_4$\\
& & $4mm$ & $4mm$ & $C_{4v}$ \\
& & $\overline{4}2m$ & $\overline{4}2m$ & $D_{2h}$ \\
& & $\displaystyle \frac{4}{m}\frac{2}{m}\frac{2}{m}$ & $\displaystyle \frac{4}{m}mm$ & $D_{4h}$ \\ [1.5ex]
\hline
\multirow{5}{*}{Trigonal } & \multirow{2}{*}{$\overline{4}$} & $3$ & $3$ & $C_3$\\
& & $\overline{3}$ & $\overline{3}$ & $C_{3i}$ \\
\cline{2-5}
& \multirow{3}{*}{$\overline{3}m$} & $32$ & $32$ & $D_3$\\
& & $3m$ & $3m$ & $C_{3v}$ \\
& & $\overline{3}m$ & $\overline{3}m$ & $D_{3d}$ \\
\hline
\multirow{7}{*}{Hexagonal} & \multirow{3}{*}{$\displaystyle \frac{6}{m}$} & $6$ & $6$ & $C_6$\\
& & $\overline{6}$ & $\overline{6}$ & $C_{3h}$ \\
& & $\displaystyle \frac{6}{m}$ & $\displaystyle \frac{6}{m}$ & $C_{6h}$ \\[1.5ex]
\cline{2-5}
& \multirow{4}{*}{$\displaystyle \frac{6}{m}mm$} & $622$ & $622$ & $D_6$\\
& & $6mm$ & $6mm$ & $C_{6v}$ \\
& & $\overline{6}m2$ & $\overline{6}m2$ & $D_{3h}$ \\
& & $\displaystyle \frac{6}{m}\frac{2}{m}\frac{2}{m}$ & $\displaystyle \frac{6}{m}mm$ & $D_{6h}$ \\ [1.5ex]
\hline
\multirow{5}{*}{Cubic} & \multirow{2}{*}{$m\overline{3}$} & $23$ & $23$ & $T$\\
& & $m\overline{3}$ & $\displaystyle \frac{2}{m}\overline{3}$ & $T_h$ \\
\cline{2-5}
& \multirow{3}{*}{$m\overline{3}m$} & $432$ & $432$ & $O$\\
& & $\overline{4}3m$ & $\overline{4}3m$ & $T_d$ \\
& & $\displaystyle \frac{4}{m}\overline{3}\frac{2}{m}$ & $m\overline{3}m$ & $O_h$ \\ [1.5ex]
\hline
\end{tabular}
\end{table}
\end{document}
%
% ****** End of file apstemplate.tex ******