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1 \documentclass[12pt]{article}
3 \begin{document}
5 \begin{eqnarray*}
6 E & = & LJ(r) \qquad \qquad \qquad r < r_{\rm in} \\
7 & = & S(r) * LJ(r) \qquad \qquad r_{\rm in} < r < r_{\rm out} \\
8 & = & 0 \qquad \qquad \qquad \qquad r > r_{\rm out} \\
9 E & = & C(r) \qquad \qquad \qquad r < r_{\rm in} \\
10 & = & S(r) * C(r) \qquad \qquad r_{\rm in} < r < r_{\rm out} \\
11 & = & 0 \qquad \qquad \qquad \qquad r > r_{\rm out} \\
12 LJ(r) & = & 4 \epsilon \left[ \left(\frac{\sigma}{r}\right)^{12} -
13 \left(\frac{\sigma}{r}\right)^6 \right] \\
14 C(r) & = & \frac{C q_i q_j}{ \epsilon r} \\
15 S(r) & = & \frac{ \left[r_{\rm out}^2 - r^2\right]^2
16 \left[r_{\rm out}^2 + 2r^2 - 3{r_{\rm in}^2}\right]}
17 { \left[r_{\rm out}^2 - {r_{\rm in}}^2\right]^3 }
18 \end{eqnarray*}
20 \end{document}