X-Git-Url: https://hackdaworld.org/gitweb/?p=lectures%2Flatex.git;a=blobdiff_plain;f=posic%2Fthesis%2Fd_tersoff.tex;h=b031be2f58ecd016152de51b4e26e136c23450aa;hp=c4273b23ce6c2956e5a94fd5c4e83453f9e36be8;hb=b8498dc8e01da8b6f85deb667e983e0d06ef2058;hpb=32c21339532fd82f670e5de878b9273da610eb99 diff --git a/posic/thesis/d_tersoff.tex b/posic/thesis/d_tersoff.tex index c4273b2..b031be2 100644 --- a/posic/thesis/d_tersoff.tex +++ b/posic/thesis/d_tersoff.tex @@ -38,7 +38,7 @@ For a three body potential, if $V_{ij}$ is not equal to $V_{ji}$, the derivative \begin{equation} \nabla_{{\bf r}_i} E = \frac{1}{2} \big[ \sum_j ( \nabla_{{\bf r}_i} V_{ij} + \nabla_{{\bf r}_i} V_{ji} ) + \sum_k \sum_j \nabla_{{\bf r}_i} V_{jk} \big] \textrm{ .} \end{equation} -In the following all the necessary derivatives to calculate $\nabla_{{\bf r}_i} E$ are written down. +In the following, all the necessary derivatives to calculate $\nabla_{{\bf r}_i} E$ are written down. \section[Derivative of $V_{ij}$ with respect to ${r}_i$]{\boldmath Derivative of $V_{ij}$ with respect to ${\bf r}_i$}