X-Git-Url: https://hackdaworld.org/gitweb/?a=blobdiff_plain;f=posic%2Fthesis%2Fd_tersoff.tex;h=c4273b23ce6c2956e5a94fd5c4e83453f9e36be8;hb=32c21339532fd82f670e5de878b9273da610eb99;hp=66abaed4244eb2f648ab13ae766c57ab2b0f09cd;hpb=5ddcac8e0e73d86f761b20d37efcd66ce41c7f08;p=lectures%2Flatex.git

diff --git a/posic/thesis/d_tersoff.tex b/posic/thesis/d_tersoff.tex
index 66abaed..c4273b2 100644
--- a/posic/thesis/d_tersoff.tex
+++ b/posic/thesis/d_tersoff.tex
@@ -32,7 +32,7 @@ f_C(r_{ij}) = \left\{
     0, & r_{ij} > S_{ij}
   \end{array} \right.
 \end{equation}
-with $\theta_{ijk}$ being the bond angle between bonds $ij$ and $ik$ as shown in Figure \ref{img:tersoff_angle}.\\
+with $\theta_{ijk}$ being the bond angle between bonds $ij$ and $ik$ as shown in Figure~\ref{img:tersoff_angle}.\\
 \\
 For a three body potential, if $V_{ij}$ is not equal to $V_{ji}$, the derivative is of the form
 \begin{equation}
@@ -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}
-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}) \\