lammps/doc/Eqs/improper_ring.tex

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\documentclass[12pt]{article}
\begin{document}
\begin{eqnarray*}
E & = &\frac{1}{6} K \left(\Delta_{ijl} + \Delta_{ijk} + \Delta_{kjl} \right)^6 \\
\Delta_{ijl} & = & \cos{\theta_{ijl} - \cos{\theta_0}} \\
\Delta_{ijk} & = & \cos{\theta_{ijk} - \cos{\theta_0}} \\
\Delta_{kjl} & = & \cos{\theta_{kjl} - \cos{\theta_0}}
\end{eqnarray*}
\end{document}