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\documentstyle[12pt]{article}
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\begin{document}
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\begin{eqnarray*}
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E_{LJ} & = & 4 \epsilon \left[ \left(\frac{\sigma}{r}\right)^{12} -
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\left(\frac{\sigma}{r}\right)^6 \right] + S_{LJ}(r)
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\qquad r < r_c \\
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E_C & = & \frac{C q_i q_j}{\epsilon r} + S_C(r) \qquad r < r_c \\
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S(r) & = & 0 \qquad r < r_1 \\
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S(r) & = & A (r - r_1)^2 + B (r - r_1)^3 \qquad r_1 < r < r_c
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\end{eqnarray*}
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\end{document}
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