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\documentclass[12pt]{article}
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\begin{document}
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\begin{eqnarray*}
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E_T & = & \sum_i [ E_i^S + \frac{1}{2} \sum_{j \neq i} V_{ij}
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(r_{ij},q_i,q_j) + E_i^{BB} ] \\
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V_{ij}(r_{ij},q_i,q_j) & = & U_{ij}^R(r_{ij}) + U_{ij}^A(r_{ij},
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q_i,q_j) + U_{ij}^I(r_{ij},q_i,q_j) + U_{ij}^V(r_{ij}) \\
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\end{eqnarray*}
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\end{document}
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\documentclass[12pt]{article}
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\begin{document}
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\begin{eqnarray*}
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U_{ij}^R(r_{ij}) & = & f_{S_{ij}} A_{ij} \exp (-\lambda_{ij} r_{ij}) \\
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U_{ij}^A(r_{ij},q_i,q_j) & = & -f_{S_{ij}} b_{ij} B_{ij} \exp (-\alpha_{ij} r_{ij}) \\
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U_{ij}^I(r_{ij},q_i,q_j) & = & J_{ij} (r_{ij}) q_i q_j \\
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U_{ij}^V(r_{ij}) & = & f_{L_{ij}} (C_{VDW_i}C_{VDW_j})^\frac{1}{2}/r_{ij}^6 \\
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\end{eqnarray*}
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\end{document}
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