\end{slide}
-% continue here
-\fi
-
\begin{slide}
\headphd
Defect combinations
}
-\small
+\footnotesize
-\vspace{0.2cm}
+\vspace{0.3cm}
\begin{minipage}{9cm}
+{\bf
+ Summary of combinations}\\[0.1cm]
{\scriptsize
-Combinations of an initially created \ci{} \hkl[0 0 -1] DB\\
\begin{tabular}{l c c c c c c}
\hline
$E_{\text{b}}$ [eV] & 1 & 2 & 3 & 4 & 5 & R\\
\hline
\end{tabular}
}
+\vspace{0.2cm}
+\begin{center}
+{\color{blue}
+ $E_{\text{b}}$ explainable by stress compensation / increase
+}
+\end{center}
\end{minipage}
\begin{minipage}{3cm}
\includegraphics[width=3.5cm]{comb_pos.eps}
\end{minipage}
-\vspace*{0.3cm}
-
-\footnotesize
+\vspace{0.2cm}
+{\bf\boldmath Combinations of \hkl<1 0 0>-type interstitials}\\[0.2cm]
\begin{minipage}[t]{3.2cm}
\underline{\hkl[1 0 0] at position 1}\\[0.1cm]
\includegraphics[width=2.8cm]{00-1dc/2-25.eps}
\end{minipage}
-\begin{minipage}[t]{3.2cm}
+\begin{minipage}[t]{3.0cm}
\underline{\hkl[0 -1 0] at position 1}\\[0.1cm]
\includegraphics[width=2.8cm]{00-1dc/2-39.eps}
\end{minipage}
-\begin{minipage}[t]{5.5cm}
+\begin{minipage}[t]{6.1cm}
+\vspace{0.7cm}
\begin{itemize}
- \item $E_{\text{b}}=0$ $\Leftrightarrow$ non-interacting defects\\
- $E_{\text{b}} \rightarrow 0$ for increasing distance (R)
- \item Stress compensation / increase
- \item Unfavored: antiparallel orientations
- \item Indication of energetically favored\\
- agglomeration
- \item Most favorable: C clustering
- \item However: High barrier ($>4\,\text{eV}$)
- \item $4\times{\color{cyan}-2.25}$ versus $2\times{\color{orange}-2.39}$
- (Entropy)
+ \item \ci{} agglomeration energetically favorable
+ \item Most favorable: C clustering\\
+ {\color{red}However \ldots}\\
+ \ldots high migration barrier ($>4\,\text{eV}$)\\
+ \ldots entropy:
+ $4\times{\color{cyan}[-2.25]}$ versus
+ $2\times{\color{orange}[-2.39]}$
\end{itemize}
+\begin{center}
+{\color{blue}\ci{} agglomeration / no C clustering}
+\end{center}
\end{minipage}
-
\end{slide}
-\end{document}
-\ifnum1=0
-
\begin{slide}
- {\large\bf\boldmath
- Combinations of C-Si \hkl<1 0 0>-type interstitials
- }
-
-\small
-
-\vspace*{0.1cm}
+\headphd
+{\large\bf\boldmath
+ Defect combinations
+}
-Energetically most favorable combinations along \hkl<1 1 0>
+\footnotesize
-\vspace*{0.1cm}
+\vspace{0.3cm}
+\begin{minipage}{9cm}
+{\bf
+ Summary of combinations}\\[0.1cm]
{\scriptsize
\begin{tabular}{l c c c c c c}
\hline
- & 1 & 2 & 3 & 4 & 5 & 6\\
-\hline
-$E_{\text{b}}$ [eV] & -2.39 & -1.88 & -0.59 & -0.31 & -0.24 & -0.21 \\
-C-C distance [\AA] & 1.4 & 4.6 & 6.5 & 8.6 & 10.5 & 10.8 \\
-Type & \hkl<-1 0 0> & \hkl<1 0 0> & \hkl<1 0 0> & \hkl<1 0 0> & \hkl<1 0 0> & \hkl<1 0 0>, \hkl<0 -1 0>\\
+ $E_{\text{b}}$ [eV] & 1 & 2 & 3 & 4 & 5 & R\\
+ \hline
+ \hkl[0 0 -1] & {\color{red}-0.08} & -1.15 & {\color{red}-0.08} & 0.04 & -1.66 & -0.19\\
+ \hkl[0 0 1] & 0.34 & 0.004 & -2.05 & 0.26 & -1.53 & -0.19\\
+ \hkl[0 -1 0] & {\color{orange}-2.39} & -0.17 & {\color{green}-0.10} & {\color{blue}-0.27} & {\color{magenta}-1.88} & {\color{gray}-0.05}\\
+ \hkl[0 1 0] & {\color{cyan}-2.25} & -1.90 & {\color{cyan}-2.25} & {\color{purple}-0.12} & {\color{violet}-1.38} & {\color{yellow}-0.06}\\
+ \hkl[-1 0 0] & {\color{orange}-2.39} & -0.36 & {\color{cyan}-2.25} & {\color{purple}-0.12} & {\color{magenta}-1.88} & {\color{gray}-0.05}\\
+ \hkl[1 0 0] & {\color{cyan}-2.25} & -2.16 & {\color{green}-0.10} & {\color{blue}-0.27} & {\color{violet}-1.38} & {\color{yellow}-0.06}\\
+ \hline
+ C$_{\text{sub}}$ & 0.26 & -0.51 & -0.93 & -0.15 & 0.49 & -0.05\\
+ Vacancy & -5.39 ($\rightarrow$ C$_{\text{sub}}$) & -0.59 & -3.14 & -0.54 & -0.50 & -0.31\\
\hline
\end{tabular}
}
+\vspace{0.2cm}
+\begin{center}
+{\color{blue}
+ $E_{\text{b}}$ explainable by stress compensation / increase
+}
+\end{center}
+\end{minipage}
+\begin{minipage}{3cm}
+\includegraphics[width=3.5cm]{comb_pos.eps}
+\end{minipage}
-\vspace*{0.3cm}
+\vspace{0.2cm}
-\begin{minipage}{7.0cm}
-\includegraphics[width=7cm]{db_along_110_cc.ps}
+{\bf\boldmath Combinations of \hkl<1 0 0>-type interstitials}\\[0.2cm]
+\begin{minipage}[t]{3.2cm}
+\underline{\hkl[1 0 0] at position 1}\\[0.1cm]
+\includegraphics[width=2.8cm]{00-1dc/2-25.eps}
\end{minipage}
-\begin{minipage}{6.0cm}
+\begin{minipage}[t]{3.0cm}
+\underline{\hkl[0 -1 0] at position 1}\\[0.1cm]
+\includegraphics[width=2.8cm]{00-1dc/2-39.eps}
+\end{minipage}
+\begin{minipage}[t]{6.1cm}
+\vspace{0.7cm}
\begin{itemize}
- \item Interaction proportional to reciprocal cube of C-C distance
- \item Saturation in the immediate vicinity
- \renewcommand\labelitemi{$\Rightarrow$}
- \item Agglomeration of \ci{} expected
- \item Absence of C clustering
+ \item \ci{} agglomeration energetically favorable
+ \item Most favorable: C clustering\\
+ {\color{red}However \ldots}\\
+ \ldots high migration barrier ($>4\,\text{eV}$)\\
+ \ldots entropy:
+ $4\times{\color{cyan}[-2.25]}$ versus
+ $2\times{\color{orange}[-2.39]}$
\end{itemize}
\begin{center}
-{\color{blue}
- Consisten with initial precipitation model
-}
+{\color{blue}\ci{} agglomeration / no C clustering}
\end{center}
\end{minipage}
+% insert graph ...
+\begin{pspicture}(0,0)(0,0)
+\rput(6.5,5.0){\psframebox[fillstyle=solid,opacity=0.5,fillcolor=black]{
+\begin{minipage}{14cm}
+\hfill
+\vspace{12cm}
+\end{minipage}
+}}
+\rput(6.5,5.3){\rnode{init}{\psframebox[fillstyle=solid,fillcolor=white,linewidth=0.1cm]{
+\begin{minipage}{8cm}
+\begin{center}
\vspace{0.2cm}
+\scriptsize
+Interaction along \hkl[1 1 0]
+\includegraphics[width=7cm]{db_along_110_cc.ps}
+\end{center}
+\end{minipage}
+}}}
+\end{pspicture}
\end{slide}
\begin{slide}
- {\large\bf\boldmath
- Combinations of substitutional C and \hkl<1 1 0> Si self-interstitials
- }
-
- \scriptsize
-
-%\begin{center}
-%\begin{minipage}{3.2cm}
-%\includegraphics[width=3cm]{sub_110_combo.eps}
-%\end{minipage}
-%\begin{minipage}{7.8cm}
-%\begin{tabular}{l c c c c c c}
-%\hline
-%C$_{\text{sub}}$ & \hkl<1 1 0> & \hkl<-1 1 0> & \hkl<0 1 1> & \hkl<0 -1 1> &
-% \hkl<1 0 1> & \hkl<-1 0 1> \\
-%\hline
-%1 & \RM{1} & \RM{3} & \RM{3} & \RM{1} & \RM{3} & \RM{1} \\
-%2 & \RM{2} & A & A & \RM{2} & C & \RM{5} \\
-%3 & \RM{3} & \RM{1} & \RM{3} & \RM{1} & \RM{1} & \RM{3} \\
-%4 & \RM{4} & B & D & E & E & D \\
-%5 & \RM{5} & C & A & \RM{2} & A & \RM{2} \\
-%\hline
-%\end{tabular}
-%\end{minipage}
-%\end{center}
+\headphd
+{\large\bf
+ Defect combinations of C-Si dimers and vacancies
+}
+\footnotesize
-%\begin{center}
-%\begin{tabular}{l c c c c c c c c c c}
-%\hline
-%Conf & \RM{1} & \RM{2} & \RM{3} & \RM{4} & \RM{5} & A & B & C & D & E \\
-%\hline
-%$E_{\text{f}}$ [eV]& 4.37 & 5.26 & 5.57 & 5.37 & 5.12 & 5.10 & 5.32 & 5.28 & 5.39 & 5.32 \\
-%$E_{\text{b}}$ [eV] & -0.97 & -0.08 & 0.22 & -0.02 & -0.23 & -0.25 & -0.02 & -0.06 & 0.05 & -0.03 \\
-%$r$ [nm] & 0.292 & 0.394 & 0.241 & 0.453 & 0.407 & 0.408 & 0.452 & 0.392 & 0.456 & 0.453\\
-%\hline
-%\end{tabular}
-%\end{center}
+\vspace{0.2cm}
-\begin{minipage}{6.0cm}
-\includegraphics[width=5.8cm]{c_sub_si110.ps}
+\begin{minipage}[b]{2.6cm}
+\begin{flushleft}
+\underline{V at 2: $E_{\text{b}}=-0.59\text{ eV}$}\\[0.1cm]
+\includegraphics[width=2.5cm]{00-1dc/0-59.eps}
+\end{flushleft}
\end{minipage}
-\begin{minipage}{7cm}
-\scriptsize
-\begin{itemize}
- \item IBS: C may displace Si\\
- $\Rightarrow$ C$_{\text{sub}}$ + \hkl<1 1 0> Si self-interstitial
- \item Assumption:\\
- \hkl<1 1 0>-type $\rightarrow$ favored combination
- \renewcommand\labelitemi{$\Rightarrow$}
- \item Most favorable: \cs{} along \hkl<1 1 0> chain \si{}
- \item Less favorable than C-Si \hkl<1 0 0> dumbbell
- \item Interaction drops quickly to zero\\
- $\rightarrow$ low capture radius
-\end{itemize}
-\begin{center}
- {\color{blue}
- IBS process far from equilibrium\\
- \cs{} \& \si{} instead of thermodynamic ground state
- }
-\end{center}
+\begin{minipage}[b]{7cm}
+\hfill
\end{minipage}
+\begin{minipage}[b]{2.6cm}
+\begin{flushright}
+\underline{V at 3, $E_{\text{b}}=-3.14\text{ eV}$}\\[0.1cm]
+\includegraphics[width=2.5cm]{00-1dc/3-14.eps}
+\end{flushright}
+\end{minipage}\\[0.2cm]
\begin{minipage}{6.5cm}
-\includegraphics[width=6.0cm]{162-097.ps}
-\begin{itemize}
- \item Low migration barrier
-\end{itemize}
+\includegraphics[width=6.0cm]{059-539.ps}
+\end{minipage}
+\begin{minipage}{5.7cm}
+\includegraphics[width=6.0cm]{314-539.ps}
\end{minipage}
+
+\begin{pspicture}(0,0)(0,0)
+\psline[linewidth=0.05cm,linecolor=gray](6.3,9.0)(6.3,0)
+
+\rput(6.3,7.0){\rnode{init}{\psframebox[fillstyle=solid,fillcolor=white,linewidth=0.05cm,linecolor=gray]{
\begin{minipage}{6.5cm}
\begin{center}
-Ab initio MD at \degc{900}\\
-\includegraphics[width=3.3cm]{md_vasp_01.eps}
-$t=\unit[2230]{fs}$\\
-\includegraphics[width=3.3cm]{md_vasp_02.eps}
-$t=\unit[2900]{fs}$
-\end{center}
+IBS: Impinging C creates V \& far away \si\\[0.3cm]
+Low migration barrier towards C$_{\text{sub}}$\\
+\&\\
+High barrier for reverse process\\[0.3cm]
{\color{blue}
-Contribution of entropy to structural formation
+High probability of stable C$_{\text{sub}}$ configuration
}
+\end{center}
\end{minipage}
+}}}
+\end{pspicture}
\end{slide}
\begin{slide}
- {\large\bf\boldmath
- Migration in C-Si \hkl<1 0 0> and vacancy combinations
- }
+\headphd
+{\large\bf
+ Combinations of substitutional C and Si self-interstitials
+}
- \footnotesize
+\scriptsize
-\vspace{0.1cm}
+\vspace{0.3cm}
-\begin{minipage}[t]{3cm}
-\underline{Pos 2, $E_{\text{b}}=-0.59\text{ eV}$}\\
-\includegraphics[width=2.8cm]{00-1dc/0-59.eps}
-\end{minipage}
-\begin{minipage}[t]{7cm}
-\vspace{0.2cm}
+\begin{minipage}{6.2cm}
\begin{center}
- Low activation energies\\
- High activation energies for reverse processes\\
- $\Downarrow$\\
- {\color{blue}C$_{\text{sub}}$ very stable}\\
-\vspace*{0.1cm}
- \hrule
-\vspace*{0.1cm}
- Without nearby \hkl<1 1 0> Si self-interstitial (IBS)\\
- $\Downarrow$\\
- {\color{blue}Formation of SiC by successive substitution by C}
-
+{\bf\boldmath C$_{\text{sub}}$ - \si{} \hkl<1 1 0> interaction}
+\begin{itemize}
+ \item Most favorable: \cs{} along \hkl<1 1 0> chain of \si{}
+ \item Less favorable than ground-state \ci{} \hkl<1 0 0> DB
+ \item Interaction drops quickly to zero\\
+ $\rightarrow$ low capture radius
+\end{itemize}
\end{center}
\end{minipage}
-\begin{minipage}[t]{3cm}
-\underline{Pos 3, $E_{\text{b}}=-3.14\text{ eV}$}\\
-\includegraphics[width=2.8cm]{00-1dc/3-14.eps}
+\begin{minipage}{0.2cm}
+\hfill
\end{minipage}
-
-
-\framebox{
-\begin{minipage}{5.9cm}
-\includegraphics[width=5.9cm]{vasp_mig/comb_mig_3-2_vac_fullct.ps}\\[0.6cm]
+\begin{minipage}{6.0cm}
\begin{center}
-\begin{picture}(0,0)(70,0)
-\includegraphics[width=1.4cm]{vasp_mig/comb_2-1_init.eps}
-\end{picture}
-\begin{picture}(0,0)(30,0)
-\includegraphics[width=1.4cm]{vasp_mig/comb_2-1_seq_03.eps}
-\end{picture}
-\begin{picture}(0,0)(-10,0)
-\includegraphics[width=1.4cm]{vasp_mig/comb_2-1_seq_06.eps}
-\end{picture}
-\begin{picture}(0,0)(-48,0)
-\includegraphics[width=1.4cm]{vasp_mig/comb_2-1_final.eps}
-\end{picture}
-\begin{picture}(0,0)(12.5,5)
-\includegraphics[width=1cm]{100_arrow.eps}
-\end{picture}
-\begin{picture}(0,0)(97,-10)
-\includegraphics[height=0.9cm]{001_arrow.eps}
-\end{picture}
+{\bf Transition from the ground state}
+\begin{itemize}
+ \item Low transition barrier
+ \item Barrier smaller than \ci{} migration barrier
+ \item Low \si{} migration barrier (\unit[0.67]{eV})\\
+ $\rightarrow$ Separation of \cs{} \& \si{} most probable
+\end{itemize}
\end{center}
-\vspace{0.1cm}
+\end{minipage}\\[0.3cm]
+
+\begin{minipage}{6.0cm}
+\includegraphics[width=6.0cm]{c_sub_si110.ps}
\end{minipage}
-}
-\begin{minipage}{0.3cm}
+\begin{minipage}{0.4cm}
\hfill
\end{minipage}
-\framebox{
-\begin{minipage}{5.9cm}
-\includegraphics[width=5.9cm]{vasp_mig/comb_mig_4-2_vac_fullct.ps}\\[0.1cm]
+\begin{minipage}{6.0cm}
+\begin{flushright}
+\includegraphics[width=6.0cm]{162-097.ps}
+\end{flushright}
+\end{minipage}
+
+\begin{pspicture}(0,0)(0,0)
+\psline[linewidth=0.05cm,linecolor=gray](6.5,0)(6.5,7.5)
+\rput(6.5,-0.7){\rnode{init}{\psframebox[fillstyle=solid,fillcolor=white,linewidth=0.05cm,linecolor=blue]{
+\begin{minipage}{8cm}
\begin{center}
-\begin{picture}(0,0)(60,0)
-\includegraphics[width=0.9cm]{vasp_mig/comb_3-1_init.eps}
-\end{picture}
-\begin{picture}(0,0)(25,0)
-\includegraphics[width=0.9cm]{vasp_mig/comb_3-1_seq_03.eps}
-\end{picture}
-\begin{picture}(0,0)(-20,0)
-\includegraphics[width=0.9cm]{vasp_mig/comb_3-1_seq_07.eps}
-\end{picture}
-\begin{picture}(0,0)(-55,0)
-\includegraphics[width=0.9cm]{vasp_mig/comb_3-1_final.eps}
-\end{picture}
-\begin{picture}(0,0)(12.5,5)
-\includegraphics[width=1cm]{100_arrow.eps}
-\end{picture}
-\begin{picture}(0,0)(95,0)
-\includegraphics[height=0.9cm]{001_arrow.eps}
-\end{picture}
-\end{center}
\vspace{0.1cm}
-\end{minipage}
+{\color{black}
+\cs{} \& \si{} instead of thermodynamic ground state\\[0.1cm]
+IBS --- process far from equilibrium\\
}
+\end{center}
+\end{minipage}
+}}}
+\end{pspicture}
\end{slide}
\begin{slide}
- {\large\bf
- Conclusion of defect / migration / combined defect simulations
- }
+\headphd
+{\large\bf
+ Combinations of substitutional C and Si self-interstitials
+}
- \footnotesize
+\scriptsize
-\vspace*{0.1cm}
+\vspace{0.3cm}
-Defect structures
+\begin{minipage}{6.2cm}
+\begin{center}
+{\bf\boldmath C$_{\text{sub}}$ - \si{} \hkl<1 1 0> interaction}
\begin{itemize}
- \item Accurately described by quantum-mechanical simulations
- \item Less accurate description by classical potential simulations
- \item Underestimated formation energy of \cs{} by classical approach
- \item Both methods predict same ground state: \ci{} \hkl<1 0 0> dumbbell
+ \item Most favorable: \cs{} along \hkl<1 1 0> chain of \si{}
+ \item Less favorable than ground-state \ci{} \hkl<1 0 0> DB
+ \item Interaction drops quickly to zero\\
+ $\rightarrow$ low capture radius
\end{itemize}
-
-Migration
-\begin{itemize}
- \item C migration pathway in Si identified
- \item Consistent with reorientation and diffusion experiments
-\end{itemize}
+\end{center}
+\end{minipage}
+\begin{minipage}{0.2cm}
+\hfill
+\end{minipage}
+\begin{minipage}{6.0cm}
+\begin{center}
+{\bf Transition from the ground state}
\begin{itemize}
- \item Different path and ...
- \item overestimated barrier by classical potential calculations
-\end{itemize}
+ \item Low transition barrier
+ \item Barrier smaller than \ci{} migration barrier
+ \item Low \si{} migration barrier (\unit[0.67]{eV})\\
+ $\rightarrow$ Separation of \cs{} \& \si{} most probable
+\end{itemize}
+\end{center}
+\end{minipage}\\[0.3cm]
-Concerning the precipitation mechanism
-\begin{itemize}
- \item Agglomeration of C-Si dumbbells energetically favorable
- (stress compensation)
- \item C-Si indeed favored compared to
- C$_{\text{sub}}$ \& \hkl<1 1 0> Si self-interstitial
- \item Possible low interaction capture radius of
- C$_{\text{sub}}$ \& \hkl<1 1 0> Si self-interstitial
- \item Low barrier for
- \ci{} \hkl<1 0 0> $\rightarrow$ \cs{} \& \si{} \hkl<1 1 0>
- \item In absence of nearby \hkl<1 1 0> Si self-interstitial:
- C-Si \hkl<1 0 0> + Vacancy $\rightarrow$ C$_{\text{sub}}$ (SiC)
-\end{itemize}
+\begin{minipage}{6.0cm}
+\includegraphics[width=6.0cm]{c_sub_si110.ps}
+\end{minipage}
+\begin{minipage}{0.4cm}
+\hfill
+\end{minipage}
+\begin{minipage}{6.0cm}
+\begin{flushright}
+\includegraphics[width=6.0cm]{162-097.ps}
+\end{flushright}
+\end{minipage}
+
+\begin{pspicture}(0,0)(0,0)
+\psline[linewidth=0.05cm,linecolor=gray](6.5,0)(6.5,7.5)
+\rput(6.5,-0.7){\rnode{init}{\psframebox[fillstyle=solid,fillcolor=white,linewidth=0.05cm,linecolor=blue]{
+\begin{minipage}{8cm}
\begin{center}
-{\color{blue}Results suggest increased participation of \cs}
+\vspace{0.1cm}
+{\color{black}
+\cs{} \& \si{} instead of thermodynamic ground state\\[0.1cm]
+IBS --- process far from equilibrium\\
+}
+\end{center}
+\end{minipage}
+}}}
+\end{pspicture}
+
+% md support
+\begin{pspicture}(0,0)(0,0)
+\rput(6.5,5.0){\psframebox[fillstyle=solid,opacity=0.5,fillcolor=black]{
+\begin{minipage}{14cm}
+\hfill
+\vspace{14cm}
+\end{minipage}
+}}
+\rput(6.5,4.3){\rnode{init}{\psframebox[fillstyle=solid,fillcolor=white,linewidth=0.1cm]{
+\begin{minipage}{11cm}
+\begin{center}
+\vspace{0.2cm}
+\scriptsize
+Ab initio MD at \degc{900}\\[0.4cm]
+\begin{minipage}{5.4cm}
+\centering
+\includegraphics[width=4.3cm]{md01_bonds.eps}\\
+$t=\unit[2230]{fs}$
+\end{minipage}
+\begin{minipage}{5.4cm}
+\centering
+\includegraphics[width=4.3cm]{md02_bonds.eps}\\
+$t=\unit[2900]{fs}$
+\end{minipage}\\[0.5cm]
+{\color{blue}
+Contribution of entropy to structural formation\\[0.1cm]
+}
\end{center}
+\end{minipage}
+}}}
+\end{pspicture}
\end{slide}
\begin{slide}
- {\large\bf
- Silicon carbide precipitation simulations
- }
+\headphd
+{\large\bf
+ Silicon carbide precipitation simulations
+}
- \small
+\small
+
+\vspace{0.2cm}
+
+{\bf Procedure}
{\scriptsize
\begin{pspicture}(0,0)(12,6.5)
Insertion of C atoms at constant T
\begin{itemize}
\item total simulation volume {\pnode{in1}}
- \item volume of minimal SiC precipitate {\pnode{in2}}
+ \item volume of minimal SiC precipitate size {\pnode{in2}}
\item volume consisting of Si atoms to form a minimal {\pnode{in3}}\\
precipitate
\end{itemize}
}}}}
\ncline[]{->}{init}{insert}
\ncline[]{->}{insert}{cool}
- \psframe[fillstyle=solid,fillcolor=white](7.5,0.7)(13.5,6.3)
- \rput(7.8,6){\footnotesize $V_1$}
- \psframe[fillstyle=solid,fillcolor=lightgray](9,2)(12,5)
- \rput(9.2,4.85){\tiny $V_2$}
- \psframe[fillstyle=solid,fillcolor=gray](9.25,2.25)(11.75,4.75)
- \rput(9.55,4.45){\footnotesize $V_3$}
+ \psframe[fillstyle=solid,fillcolor=white](7.3,0.7)(12.8,6.3)
+ \rput(7.6,6){\footnotesize $V_1$}
+ \psframe[fillstyle=solid,fillcolor=lightgray](8.7,2)(11.6,5)
+ \rput(8.9,4.85){\tiny $V_2$}
+ \psframe[fillstyle=solid,fillcolor=gray](8.95,2.25)(11.35,4.75)
+ \rput(9.25,4.45){\footnotesize $V_3$}
\rput(7.9,3.2){\pnode{ins1}}
- \rput(9.22,2.8){\pnode{ins2}}
- \rput(11.0,2.4){\pnode{ins3}}
+ \rput(8.92,2.8){\pnode{ins2}}
+ \rput(10.8,2.4){\pnode{ins3}}
\ncline[]{->}{in1}{ins1}
\ncline[]{->}{in2}{ins2}
\ncline[]{->}{in3}{ins3}
\end{pspicture}
}
+\vspace{-0.5cm}
+
+{\bf Note}
+
+\footnotesize
+
+\begin{minipage}{5.7cm}
\begin{itemize}
- \item Restricted to classical potential simulations
- \item $V_2$ and $V_3$ considered due to low diffusion
- \item Amount of C atoms: 6000
- ($r_{\text{prec}}\approx 3.1\text{ nm}$, IBS: 2 ... 4 nm)
- \item Simulation volume: $31\times 31\times 31$ unit cells
+ \item Amount of C atoms: 6000\\
+ ($r_{\text{prec}}\approx 3.1\text{ nm}$, IBS: \unit[2--4]{nm})
+ \item Simulation volume: $31^3$ Si unit cells\\
(238328 Si atoms)
\end{itemize}
+\end{minipage}
+\begin{minipage}{0.3cm}
+\hfill
+\end{minipage}
+\framebox{
+\begin{minipage}{6.0cm}
+Restricted to classical potential caclulations\\
+$\rightarrow$ Low C diffusion / overestimated barrier\\
+$\rightarrow$ Consider $V_2$ and $V_3$
+%\begin{itemize}
+% \item $V_2$ and $V_3$ considered due to expected low C diffusion
+%\end{itemize}
+\end{minipage}
+}
\end{slide}
+% continue here
+\fi
+
\begin{slide}
- {\large\bf\boldmath
- Silicon carbide precipitation simulations at $450\,^{\circ}\mathrm{C}$ as in IBS
- }
+\headphd
+{\large\bf\boldmath
+ Silicon carbide precipitation simulations at \degc{450} as in IBS
+}
- \small
+\small
-\begin{minipage}{6.5cm}
-\includegraphics[width=6.4cm]{sic_prec_450_si-si_c-c.ps}
+\begin{minipage}{6.2cm}
+\hspace{-0.4cm}\includegraphics[width=6.5cm]{sic_prec_450_si-si_c-c.ps}
+\hfill
\end{minipage}
-\begin{minipage}{6.5cm}
-\includegraphics[width=6.4cm]{sic_prec_450_energy.ps}
+\begin{minipage}{6.2cm}
+\includegraphics[width=6.5cm]{sic_prec_450_energy.ps}
\end{minipage}
-\begin{minipage}{6.5cm}
-\includegraphics[width=6.4cm]{sic_prec_450_si-c.ps}
+\begin{minipage}{6.2cm}
+\hspace{-0.4cm}\includegraphics[width=6.5cm]{sic_prec_450_si-c.ps}
+\hfill
\end{minipage}
-\begin{minipage}{6.5cm}
+\begin{minipage}{6.2cm}
\scriptsize
\underline{Low C concentration ($V_1$)}\\
\hkl<1 0 0> C-Si dumbbell dominated structure
\end{slide}
+\end{document}
+\ifnum1=0
+
\begin{slide}
{\large\bf\boldmath
projects / lectures / latex.git / blobdiff