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\begin{document}
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\begin{eqnarray*}
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\phi\left(r\right) & = & 4 \epsilon \left[\left(\frac{\sigma}{r}\right)^{12} - \left(\frac{\sigma}{r}\right)^6\right] \\
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E\left(r\right) & = & \phi\left(r\right) - \phi\left(R_c\right) - \left(r - R_c\right) \left.\frac{\partial \phi}{\partial r} \right|_{r=R_c} \qquad r < R_c
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\end{eqnarray*}
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$$
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E\left(r\right) = A \exp\left[-\alpha r - \beta r^6\right] -
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\frac{B}{\left(r^2+a^2\right)^3} \left(1+\frac{2.709+3a^2}{r^2+a^2}\right)
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\qquad r < R_c
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$$
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\end{document}
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