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$$
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E = A \exp \left(\frac{\sigma - r}{\rho} \right) -
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\frac{C}{r^6} + \frac{D}{r^8} + \frac{kq_i q_j}{\epsilon r}
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\frac{C}{r^6} + \frac{D}{r^8} \qquad r < r_c
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$$
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\end{document}
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