\item Density functional theory (DFT) calculations
\end{itemize}
\item C and Si self-interstitial point defects in silicon
- \item Precipitation simulations
+ \item Silicon carbide precipitation simulations
+ \item Investigation of a silicon carbide precipitate in silicon
\item Summary / Conclusion / Outlook
\end{itemize}
\end{minipage}
\begin{minipage}{6.3cm}
\begin{center}
- {\color{blue}\bf\normalsize
+ {\color{blue}
Precipitation mechanism not yet fully understood!
}
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\end{pspicture}
\end{slide}
+\begin{slide}
+
+ {\large\bf
+ Basics of molecular dynamics (MD) simulations
+ }
+
+ \vspace{12pt}
+
+ \small
+
+ {\bf MD basics:}
+ \begin{itemize}
+ \item Microscopic description of N particle system
+ \item Analytical interaction potential
+ \item Numerical integration using Newtons equation of motion\\
+ as a propagation rule in 6N-dimensional phase space
+ \item Observables obtained by time and/or ensemble averages
+ \end{itemize}
+ {\bf Details of the simulation:}
+ \begin{itemize}
+ \item Integration: Velocity Verlet, timestep: $1\text{ fs}$
+ \item Ensemble: NpT (isothermal-isobaric)
+ \begin{itemize}
+ \item Berendsen thermostat:
+ $\tau_{\text{T}}=100\text{ fs}$
+ \item Berendsen barostat:\\
+ $\tau_{\text{P}}=100\text{ fs}$,
+ $\beta^{-1}=100\text{ GPa}$
+ \end{itemize}
+ \item Potential: Tersoff-like bond order potential
+ \vspace*{12pt}
+ \[
+ E = \frac{1}{2} \sum_{i \neq j} \pot_{ij}, \quad
+ \pot_{ij} = f_C(r_{ij}) \left[ f_R(r_{ij}) + b_{ij} f_A(r_{ij}) \right]
+ \]
+ \end{itemize}
+
+ \begin{picture}(0,0)(-230,-30)
+ \includegraphics[width=5cm]{tersoff_angle.eps}
+ \end{picture}
+
+\end{slide}
+
+\begin{slide}
+
+ {\large\bf
+ Basics of density functional theory (DFT) calculations
+ }
+
+ \small
+
+\end{slide}
+
+
\end{document}