HADRESS_System_Potentials.tex
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	\documentclass[12pt]{article}

	\pagestyle{empty}
	\begin{document}

	\begin{eqnarray}\label{hadress_V}
	&& V^{AT}_\alpha \equiv \displaystyle\frac{1}{2}\sum_{\beta,\beta\neq \alpha}^{N} \sum_{ij} V^{AT}(\|\textbf{r}_{\alpha i} - \textbf{r}_{\beta j}\|)\\ \nonumber
	&& V^{CG}_\alpha \equiv \displaystyle\frac{1}{2}\sum_{\beta,\beta\neq \alpha}^{N} V^{CG}(\|\textbf{R}_\alpha - \textbf{R}_\beta\|)
	\end{eqnarray}

	\end{document}