lammps/doc/Eqs/pair_cmm.tex

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\documentclass[12pt]{article}
\begin{document}
\begin{eqnarray*}
E = & \frac{27}{4} \epsilon \left[ \left(\frac{\sigma}{r}\right)^{9} -
\left(\frac{\sigma}{r}\right)^6 \right] &
\qquad r < r_c \\
E = & \frac{3\sqrt{3}}{2} \epsilon \left[ \left(\frac{\sigma}{r}\right)^{12} -
\left(\frac{\sigma}{r}\right)^4 \right] &
\qquad r < r_c \\
E = & 4 \epsilon \left[ \left(\frac{\sigma}{r}\right)^{12} -
\left(\frac{\sigma}{r}\right)^6 \right] &
\qquad r < r_c
\end{eqnarray*}
\end{document}