From: hackbard <hackbard>
Date: Wed, 12 Jul 2006 16:18:34 +0000 (+0000)
Subject: more theory
X-Git-Url: https://hackdaworld.org/gitweb/?a=commitdiff_plain;h=71d8ad22f7c8fd77cc86c966aa209d5cd4c14ac0;p=lectures%2Flatex.git

more theory
---

diff --git a/posic/thesis/basics.tex b/posic/thesis/basics.tex
index 8cf717b..1dbe1c0 100644
--- a/posic/thesis/basics.tex
+++ b/posic/thesis/basics.tex
@@ -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}) ]
diff --git a/posic/thesis/literature.tex b/posic/thesis/literature.tex
index 002da01..454bacb 100644
--- a/posic/thesis/literature.tex
+++ b/posic/thesis/literature.tex
@@ -14,7 +14,19 @@
   \bibitem{stillinger_weber}
     F. H. Stillinger, T. A. Weber.
     Phys. Rev. B 31 (1985) 5262.
-  \bibitem{tersoff1}
+  \bibitem{tersoff_silicon1}
+    J. Tersoff.
+    Phys. Rev. Lett. 56 (1986) 632.
+  \bibitem{tersoff_silicon2}
+    J. Tersoff.
+    Phys. Rev. B 37 (1988) 6991.
+  \bibitem{tersoff_silicon3}
+    J. Tersoff.
+    Phys. Rev. B 38 (1988) 9902.
+  \bibitem{tersoff_carbon}
+    J. Tersoff.
+    Phys. Rev. Lett. 61 (1988) 2879.
+  \bibitem{tersoff_multi}
     J. Tersoff.
     Phys. Rev. B 39 (1989) 5566.
   \bibitem{example}