\item Results gained by simulation
\begin{itemize}
\item Interstitials in silicon
- \item $SiC$-precipitation experiments
+ \item SiC-precipitation experiments
\end{itemize}
\item Conclusion / Outlook
\end{itemize}
\end{minipage}
\begin{center}
- \[5a_{SiC}=4a_{Si} \quad \Rightarrow \quad
+ \[
+ \textrm{Silicon density: } \quad
+ 5a_{SiC}=4a_{Si} \quad \Rightarrow \quad
\frac{n_{SiC}}{n_{Si}}=\frac{\frac{4}{a_{SiC}^3}}{\frac{8}{a_{Si}^3}}=
- \frac{5^3}{2\cdot4^3}=97,66\%
+ \frac{5^3}{2\cdot4^3}={\color{cyan}97,66}\,\%
\]
\end{center}
Simulation details
}
- \vspace{16pt}
+ \vspace{20pt}
Interstitial experiments:
\item random positions (critical distance check)
\end{itemize}
\item Relaxation time: $2\, ps$
+ \item Optional heating-up
\end{itemize}
- \begin{picture}(0,0)(-210,-65)
+ \begin{picture}(0,0)(-210,-85)
\includegraphics[width=6cm]{unit_cell.eps}
\end{picture}
Si self-interstitial experiments:
+ {\footnotesize
+ {\bf Note:}
+ \begin{itemize}
+ \item $r_{cutoff}^{Si-Si}=2.96>\frac{5.43}{2}$
+ \item Bond length near $r_{cutoff} \Rightarrow$ small bond strength
+ \end{itemize}
+ }
+
\vspace{8pt}
\small
\underline{Tetrahedral}
\begin{itemize}
\item $E_F=3.41\, eV$
- \item $r_{cutoff}^{Si-Si}=2.96>\frac{5.43}{2}$
+ \item essentialy tetrahedral\\
+ bonds
\end{itemize}
\end{minipage}
\hspace{0.3cm}
\underline{110 dumbbell}
\begin{itemize}
\item $E_F=4.39\, eV$
- \item Small bond strength
+ \item essentially 4 bonds
\end{itemize}
\end{minipage}
\hspace{0.3cm}
\begin{minipage}[t]{4.0cm}
\underline{Hexagonal}
\begin{itemize}
- \item $E_F=4.48\, eV$
- \item unstable for $T\ne 0\,K$
+ \item $E_F^{\star}=4.48\, eV$
+ \item unstable!
\end{itemize}
\end{minipage}
Results
}
+ \vspace{8pt}
+
+ Si self-interstitial \underline{random insertion} experiments:
+
+ \vspace{8pt}
+
+ foo
+
\end{slide}
\begin{slide}
\underline{Tetrahedral}
\begin{itemize}
\item $E_F=2.67\, eV$
+ \item tetrahedral bond
\end{itemize}
\end{minipage}
\hspace{0.3cm}
\underline{110 dumbbell}
\begin{itemize}
\item $E_F=1.76\, eV$
+ \item C forms 3 bonds
\end{itemize}
\end{minipage}
\hspace{0.3cm}
\begin{minipage}[t]{4.0cm}
\underline{Hexagonal}
\begin{itemize}
+ \item $E_F\sim5.6\, eV$
\item unstable!
\end{itemize}
\end{minipage}
\includegraphics[width=3.8cm]{c_in_si_int_dumbbell_0.eps}
\end{minipage}
\begin{minipage}{4.3cm}
- %\includegraphics[width=3.8cm]{si_self_int_hexa_0.eps}
+ \includegraphics[width=3.8cm]{c_in_si_int_hexa_0.eps}
\end{minipage}
\end{slide}
+\begin{slide}
+
+ {\large\bf
+ Results
+ }
+
+ \vspace{8pt}
+
+ Carbon \underline{random insertion} experiments:
+
+ \vspace{8pt}
+
+ bar
+
+\end{slide}
+
\begin{slide}
{\large\bf