more theory

[lectures/latex.git] / posic / thesis / basics.tex

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@@ -135,7 +135,14 @@ h(r_{ij},r_{ik},\theta_{jik}) =
 
 \subsubsection{The Tersoff potential}
 
-Ther Tersoff potential \cite{tersoff1} \ldots
+Tersoff proposed an empirical interatomic potential for covalent systems.
+The Tersoff potential explicitly incorporates the dependence of bond order on local envirenments, permitting an improved description of covalent materials.
+Tersoff applied the potential to silicon \cite{tersoff_silicon1,tersoff_silicon2,tersoff_silicon3}, carbon \cite{tersoff_carbon} and also to multicomponent systems like $SiC$ \cite{tersoff_multi}.
+
+The basic idea is that, in real systems, the bond order depends upon the local environment.
+An atom with many neighbours forms weaker bonds than an atom with few neighbours.
+
+
 
 \begin{equation}
 V_{ij} = f_C(r_{ij}) [ f_R(r_{ij}) + b_{ij} f_A(r_{ij}) ]