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commas
[lectures/latex.git]
/
posic
/
thesis
/
d_tersoff.tex
diff --git
a/posic/thesis/d_tersoff.tex
b/posic/thesis/d_tersoff.tex
index
ca23535
..
c4273b2
100644
(file)
--- a/
posic/thesis/d_tersoff.tex
+++ b/
posic/thesis/d_tersoff.tex
@@
-138,7
+138,7
@@
are calculated and added in subsequent loops.
b_{ij} \nabla_{{\bf r}_j} f_A(r_{ij}) +
f_A(r_{ij}) \nabla_{{\bf r}_j} b_{ij} \big]
\end{eqnarray}
b_{ij} \nabla_{{\bf r}_j} f_A(r_{ij}) +
f_A(r_{ij}) \nabla_{{\bf r}_j} b_{ij} \big]
\end{eqnarray}
-Using the equality $\nabla_{{\bf r}_i} r_{ij}=-\nabla_{{\bf r}_j} r_{ij}$
+Using the equality $\nabla_{{\bf r}_i} r_{ij}=-\nabla_{{\bf r}_j} r_{ij}$
,
the following relations are valid:
\begin{eqnarray}
\nabla_{{\bf r}_j} f_R(r_{ij}) &=& - \nabla_{{\bf r}_i} f_R(r_{ij}) \\
the following relations are valid:
\begin{eqnarray}
\nabla_{{\bf r}_j} f_R(r_{ij}) &=& - \nabla_{{\bf r}_i} f_R(r_{ij}) \\