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

	\begin{document}

	\begin{eqnarray*}
	E & = & \frac{1}{2} \sum_i \sum_{j \neq i} V_{ij} \\
	V_{ij} & = & f_C(r_{ij}) \left[ f_R(r_{ij}) + b_{ij} f_A(r_{ij}) \right] \\
	f_C(r) & = & \left\{ \begin{array} {r@{\quad:\quad}l}
	1 & r < R - D \\
	\frac{1}{2} - \frac{1}{2} \sin \left( \frac{\pi}{2} \frac{r-R}{D} \right) &
	R-D < r < R + D \\
	0 & r > R + D
	\end{array} \right. \\
	f_R(r) & = & A \exp (-\lambda_1 r) \\
	f_A(r) & = & -B \exp (-\lambda_2 r) \\
	b_{ij} & = & \left( 1 + \beta^n {\zeta_{ij}}^n \right)^{-\frac{1}{2n}} \\
	\zeta_{ij} & = & \sum_{k \neq i,j} f_C(r_{ik}) g(\theta_{ijk})
	\exp \left[ {\lambda_3}^3 (r_{ij} - r_{ik})^3 \right] \\
	g(\theta) & = & 1 + \frac{c^2}{d^2} -
	\frac{c^2}{\left[ d^2 +
	(\cos \theta - \cos \theta_0)^2\right]}
	\end{eqnarray*}

	\end{document}