\usepackage{fancyvrb} % Fancy verbatim environments
\usepackage{pstricks} % PSTricks with the standard color package
+\usepackage{pstricks}
+\usepackage{pst-node}
+
\usepackage{graphicx}
\graphicspath{{../img/}}
\small
\vspace{6pt}
- Supposed mechanism of the conversion of heavily carbon doped Si into SiC:
+ Supposed conversion mechanism of heavily carbon doped Si into SiC:
\vspace{8pt}
\small
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}
- Szenarios:
- \begin{enumerate}
- \item $V_{ins}$: total simulation volume $V$
- \item $V_{ins}$: $12\times12\times12$ SiC unit cells
- ($\sim$ volume of minimal SiC precipitation)
- \item $V_{ins}$: $9\times9\times9$ SiC unit cells
- ($\sim$ volume of necessary amount of Si)
- \end{enumerate}
+ \begin{pspicture}(0,0)(12,8)
+ % nodes
+ \rput(4.5,6.5){\rnode{init}{\psframebox{\parbox{7cm}{
+ \begin{itemize}
+ \item Initial configuration: $31\times31\times31$ unit cells Si
+ \item Periodic boundary conditions
+ \item $T=450\, ^{\circ}C$
+ \item Equilibration of $E_{kin}$ and $E_{pot}$ for $600\, fs$
+ \end{itemize}
+ }}}}
+ \rput(4.5,4.5){\rnode{tc1}{\psframebox[fillstyle=solid,fillcolor=red]{
+ $T=450\pm 1\, ^{\circ}C$}}}
+ \rput(7,3.5){\rnode{insert}{\psframebox[fillstyle=solid,fillcolor=red]{
+ \parbox{3cm}{
+ Insertion of 10 atoms\\
+ at random positions}}}}
+ \rput(2,3.5){\rnode{adj1}{\psframebox[fillstyle=solid,fillcolor=red]{
+ \parbox{3.5cm}{
+ Adjusting temperature\\
+ for another $100\, fs$}}}}
+ \rput(7,2.5){\rnode{nc}{\psframebox[fillstyle=solid,fillcolor=red]{
+ $N_{atoms}=6000$}}}
+ \rput(4.5,2){\rnode{tc2}{\psframebox[fillstyle=solid,fillcolor=cyan]{
+ $T=T_{set}$}}}
+ \rput(7,1){\rnode{td}{\psframebox[fillstyle=solid,fillcolor=cyan]{
+ $T_{set}:=T_{set}-1\, ^{\circ}C$}}}
+ \rput(2,1){\rnode{adj2}{\psframebox[fillstyle=solid,fillcolor=cyan]{
+ \parbox{3.5cm}{
+ Adjusting temperature\\
+ for another $50\, fs$}}}}
+ \rput(7,0){\rnode{tc3}{\psframebox[fillstyle=solid,fillcolor=cyan]{
+ $T_{set}=20\, ^{\circ}C$}}}
+ \rput(10,0){\rnode{end}{\psframebox{End}}}
+ % help nodes
+ \rput(7,4.5){\pnode{tc1-h}}
+ \rput(2,4.5){\pnode{tc1-hh}}
+ \rput(4.5,2.5){\pnode{nc-h}}
+ \rput(9,2.5){\pnode{nc-hh}}
+ \rput(9,2){\pnode{tc2-h}}
+ \rput(2,2){\pnode{tc2-hh}}
+ \rput(4.5,0){\pnode{tc3-h}}
+ % direct lines
+ \ncline[]{->}{init}{tc1}
+ \ncline[]{->}{adj1}{tc1}
+ \ncline[]{->}{insert}{nc}
+ \ncline[]{->}{adj2}{tc2}
+ \ncline[]{->}{tc2}{td}
+ \lput*{0}{yes}
+ \ncline[]{->}{td}{tc3}
+ \ncline[]{->}{tc3}{end}
+ \lput*{0}{yes}
+ % lines using help nodes
+ \ncline[]{tc1}{tc1-h}
+ \lput*{0}{yes}
+ \ncline[]{->}{tc1-h}{insert}
+ \ncline[]{tc1}{tc1-hh}
+ \lput*{0}{no}
+ \ncline[]{->}{tc1-hh}{adj1}
+ \ncline[]{nc}{nc-h}
+ \lput*{0}{no}
+ \ncline[]{->}{nc-h}{tc1}
+ \ncline[]{nc}{nc-hh}
+ \ncline[]{-}{nc-hh}{tc2-h}
+ \ncline[]{->}{tc2-h}{tc2}
+ \lput*{0}{yes, {\footnotesize $T_{set}:=450\, ^{\circ}C$}}
+ \ncline[]{tc2}{tc2-hh}
+ \lput*{0}{no}
+ \ncline[]{->}{tc2-hh}{adj2}
+ \ncline[]{tc3}{tc3-h}
+ \lput*{0}{no}
+ \ncline[]{->}{tc3-h}{tc2}
+ % insertion volumes
+ \psframe[fillstyle=solid,fillcolor=white](9.5,1.3)(13.5,5.3)
+ \psframe[fillstyle=solid,fillcolor=lightgray](10,1.8)(13,4.8)
+ \psframe[fillstyle=solid,fillcolor=gray](10.5,2.3)(12.5,4.3)
+ \rput(9.75,3){\pnode{ins1}}
+ \rput(10.25,3.3){\pnode{ins2}}
+ \rput(10.75,3.6){\pnode{ins3}}
+ \ncline[]{-}{insert}{ins1}
+ \ncline[]{-}{insert}{ins2}
+ \ncline[]{-}{insert}{ins3}
+ \psframe[fillstyle=solid,fillcolor=white](9.5,7.6)(13.5,8.1)
+ \psframe[fillstyle=solid,fillcolor=lightgray](9.5,6.8)(13.5,7.3)
+ \psframe[fillstyle=solid,fillcolor=gray](9.5,6)(13.5,6.5)
+ \rput(11.5,7.85){{\tiny Simulation volume:
+ $31\times31\times31\, a^3_{Si}$}}
+ \rput(11.5,7.05){{\tiny Volume of minimal SiC precipitation}}
+ \rput(11.5,6.25){{\tiny Volume of necessary amount of Si}}
+ \end{pspicture}
\end{slide}
\begin{minipage}[t]{4.0cm}
\underline{Tetrahedral}
\begin{itemize}
- \item $E_F=3.41\, eV$
+ \item $E_f=3.41\, eV$
\item essentialy tetrahedral\\
bonds
\end{itemize}
\begin{minipage}[t]{4.0cm}
\underline{110 dumbbell}
\begin{itemize}
- \item $E_F=4.39\, eV$
+ \item $E_f=4.39\, eV$
\item essentially 4 bonds
\end{itemize}
\end{minipage}
\begin{minipage}[t]{4.0cm}
\underline{Hexagonal}
\begin{itemize}
- \item $E_F^{\star}\approx4.48\, eV$
+ \item $E_f^{\star}\approx4.48\, eV$
\item unstable!
\end{itemize}
\end{minipage}