--- /dev/null
+#FIG 3.2 Produced by xfig version 3.2.5
+Landscape
+Center
+Metric
+A4
+100.00
+Single
+-2
+1200 2
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+-6
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+-6
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+-6
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+-6
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+-6
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+-6
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+-6
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+-6
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Single
-2
1200 2
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--6
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-1 3 0 1 0 0 50 -1 20 0.000 1 0.0000 3465 6930 101 101 3465 6930 3566 6930
--6
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-1 3 0 1 0 0 50 -1 20 0.000 1 0.0000 7965 7965 101 101 7965 7965 8066 7965
--6
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-1 3 0 1 0 0 50 -1 20 0.000 1 0.0000 7065 5895 101 101 7065 5895 7166 5895
--6
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-1 3 0 1 4 4 50 -1 20 0.000 1 0.0000 7965 2835 101 101 7965 2835 8066 2835
--6
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-1 3 0 1 4 4 50 -1 20 0.000 1 0.0000 5265 3870 101 101 5265 3870 5366 3870
--6
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-1 3 0 1 4 4 50 -1 20 0.000 1 0.0000 2565 4905 101 101 2565 4905 2666 4905
--6
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\articlemag{1}
+\special{landscape}
+
\begin{document}
\extraslideheight{10in}
\end{itemize}
\item Results gained by simulation
\begin{itemize}
- \item Carbon interstitials in silicon
- \item Existence of $SiC$-precipitates
+ \item Interstitials in silicon
+ \item $SiC$-precipitation experiments
\end{itemize}
\item Conclusion / Outlook
\end{itemize}
% start of contents
+\begin{slide}
+
+ {\large\bf
+ Motivation / Introduction
+ }
+
+ \small
+ \vspace{6pt}
+
+ Supposed mechanism of the conversion of heavily carbon doped Si into SiC:
+
+ \vspace{8pt}
+
+ \begin{minipage}{3.8cm}
+ \includegraphics[width=3.7cm]{sic_prec_seq_01.eps}
+ \end{minipage}
+ \hspace{0.6cm}
+ \begin{minipage}{3.8cm}
+ \includegraphics[width=3.7cm]{sic_prec_seq_02.eps}
+ \end{minipage}
+ \hspace{0.6cm}
+ \begin{minipage}{3.8cm}
+ \includegraphics[width=3.7cm]{sic_prec_seq_03.eps}
+ \end{minipage}
+
+ \vspace{8pt}
+
+ \begin{minipage}{3.8cm}
+ Formation of C-Si dumbbells on regular c-Si lattice sites
+ \end{minipage}
+ \hspace{0.6cm}
+ \begin{minipage}{3.8cm}
+ Agglomeration into large clusters (embryos)\\
+ \end{minipage}
+ \hspace{0.6cm}
+ \begin{minipage}{3.8cm}
+ Precipitation of 3C-SiC + Creation of interstitials\\
+ \end{minipage}
+
+ \begin{center}
+ \[5a_{SiC}=4a_{Si} \quad \Rightarrow \quad
+ \frac{n_{SiC}}{n_{Si}}=\frac{\frac{4}{a_{SiC}^3}}{\frac{8}{a_{Si}^3}}=
+ \frac{5^3}{2\cdot4^3}=97,66\%
+ \]
+ \end{center}
+
+ Experimentally observed minimal diameter of precipitation: 4 - 5 nm
+
+\end{slide}
+
+\begin{slide}
+
+ {\large\bf
+ Simulation details
+ }
+
+ MD basics:
+ \begin{itemize}
+ \item Microscopic description of N particle system
+ \item Analytical interaction potential
+ \item Hamilton's equations of motion as propagation rule\\
+ in 6N-dimemnsional phase space
+ \item Observables obtained by time average
+ \end{itemize}
+
+ \vspace{4pt}
+
+ Application details:
+ \begin{itemize}
+ \item Integrator: velocity verlet, timestep: $1\, fs$
+ \item Ensemble control: NVT, Berendsen thermostat, $\tau=100.0$
+ \item Potential: Tersoff-like bond order potential\\
+ \[
+ E = \frac{1}{2} \sum_{i \neq j} \pot_{ij}, \quad
+ \pot_{ij} = f_C(r_{ij}) \left[ f_R(r_{ij}) + b_{ij} f_A(r_{ij}) \right]
+ \]
+ \begin{center}
+ {\scriptsize P. Erhart und K. Albe. Phys. Rev. B 71 (2005) 035211}
+ \end{center}
+ \end{itemize}
+
+\end{slide}
+
+\begin{slide}
+
+ {\large\bf
+ Simulation details
+ }
+
+ Interstitial experiments:
+ \begin{itemize}
+ \item Initial configuration: $9\times9\times9$ unit cells Si
+ \item Periodic boundary conditions
+ \item $T=0 \, K$
+ \item Insertion of Si / C atom at
+ \begin{itemize}
+ \item $(0,0,0)$ (tetrahedral)
+ \item $(-1/8,-1/8,1/8)$ (hexagonal)
+ \item $(-1/8,-1/8,-1/4)$, $(-1/4,-1/4,-1/4)$ (110 dumbbell)
+ \item random positions (critical distance check)
+ \end{itemize}
+ \item Relaxation time: $2\, ps$
+ \end{itemize}
+
+\end{slide}
+
+\begin{slide}
+
+ {\large\bf
+ Simulation details
+ }
+
+ SiC precipitation experiments:
+ \begin{itemize}
+ \item Initial configuration: $31\times31\times31$ unit cells Si
+ \item Periodic boundary conditions
+ \item $T=450\, ^{\circ}C$
+ \item Steady state time: $600\, fs$
+ \item C insertion steps:
+ \begin{itemize}
+ \item If $T=450\pm 1\, ^{\circ}C$:\\
+ Insertion of 10 atoms at random positions within $V_{ins}$
+ \item Otherwise: Annealing for another $100\, fs$
+ \end{itemize}
+ \item Annealing: ($T_a: 450\rightarrow 20 \, ^{\circ}C$)
+ \begin{itemize}
+ \item If $T=T_a$: Decrease $T_a$ by $1\, ^{\circ}C$
+ \item Otherwise: Annealing for another $50\, fs$
+ \end{itemize}
+ \end{itemize}
+
+ 3 szenarios
+ \begin{itemize}
+ \item $V_ins$: total volume $V$
+ \item $V_ins$:
+ \end{itemize}
+
+\end{slide}
+
+\begin{slide}
+
+ {\large\bf
+ Results
+ }
+
+\end{slide}
+
+\begin{slide}
+
+ {\large\bf
+ Results
+ }
+
+\end{slide}
+
+\begin{slide}
+
+ {\large\bf
+ Results
+ }
+
+\end{slide}
+
+\begin{slide}
+
+ {\large\bf
+ Results
+ }
+
+\end{slide}
+
+\begin{slide}
+
+ {\large\bf
+ Conclusion / Outlook
+ }
+
+\end{slide}
+
+
\end{document}
projects / lectures / latex.git / commitdiff