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root/group/trunk/oopsePaper/EmpericalEnergy.tex
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Revision 931 by chuckv, Tue Jan 13 19:45:56 2004 UTC vs.
Revision 932 by chuckv, Tue Jan 13 20:01:19 2004 UTC

# Line 379 | Line 379 | V & = & \sum_{i} F_{i}\left[\rho_{i}\right] + \sum_{i}
379   V & = & \sum_{i} F_{i}\left[\rho_{i}\right] + \sum_{i} \sum_{j \neq i}
380   \phi_{ij}({\bf r}_{ij})  \\
381   \rho_{i}  & = & \sum_{j \neq i} f_{j}({\bf r}_{ij})
382 < \end{eqnarray}
382 > \end{eqnarray}S
383  
384 < where $F_{i} is the embedding function that equates the energy required to embedded an
385 < positively-charged core ion $i$ into a linear supeposition of
384 > where $F_{i} $ is the embedding function that equates the energy required to embed a
385 > positively-charged core ion $i$ into a linear superposition of
386   sperically averaged atomic electron densities given by
387   $\rho_{i}$.  $\phi_{ij}$ is a primarily repulsive pairwise interaction
388   between atoms $i$ and $j$. In the original formulation of

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