X-Git-Url: https://hackdaworld.org/gitweb/?a=blobdiff_plain;f=posic%2Ftalks%2Fdpg_2008.tex;h=ccdea85159e734855ab7de4774db86c8de7a094d;hb=3a928191ab805a50a28bef4fc324ebaa1469a900;hp=5bc70e64073c86ab00d93b330646960d123f2bc8;hpb=47c75dbe6e5de9b8268c46624ab7e599b2dbd8bb;p=lectures%2Flatex.git diff --git a/posic/talks/dpg_2008.tex b/posic/talks/dpg_2008.tex index 5bc70e6..ccdea85 100644 --- a/posic/talks/dpg_2008.tex +++ b/posic/talks/dpg_2008.tex @@ -48,6 +48,9 @@ \newcommand{\foo}{\mathcal{U}} \newcommand{\vir}{\mathcal{W}} +% itemize level ii +\renewcommand\labelitemii{{\color{gray}$\bullet$}} + % topic \begin{slide} @@ -232,21 +235,32 @@ Simulation details } + \vspace{20pt} + Interstitial experiments: + + \vspace{12pt} + \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 $(0,0,0)$ $\rightarrow$ {\color{red}tetrahedral} + \item $(-1/8,-1/8,1/8)$ $\rightarrow$ {\color{green}hexagonal} + \item $(-1/8,-1/8,-1/4)$, $(-1/4,-1/4,-1/4)$ + $\rightarrow$ {\color{yellow}110 dumbbell} \item random positions (critical distance check) \end{itemize} \item Relaxation time: $2\, ps$ + \item Optional heating-up \end{itemize} + \begin{picture}(0,0)(-210,-85) + \includegraphics[width=6cm]{unit_cell.eps} + \end{picture} + \end{slide} \begin{slide} @@ -255,6 +269,8 @@ Simulation details } + \small + SiC precipitation experiments: \begin{itemize} \item Initial configuration: $31\times31\times31$ unit cells Si @@ -274,11 +290,14 @@ \end{itemize} \end{itemize} - 3 szenarios - \begin{itemize} - \item $V_ins$: total volume $V$ - \item $V_ins$: - \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} \end{slide} @@ -288,6 +307,57 @@ Results } + 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 + + \begin{minipage}[t]{4.0cm} + \underline{Tetrahedral} + \begin{itemize} + \item $E_F=3.41\, eV$ + \item essentialy tetrahedral\\ + bonds + \end{itemize} + \end{minipage} + \hspace{0.3cm} + \begin{minipage}[t]{4.0cm} + \underline{110 dumbbell} + \begin{itemize} + \item $E_F=4.39\, eV$ + \item essentially 4 bonds + \end{itemize} + \end{minipage} + \hspace{0.3cm} + \begin{minipage}[t]{4.0cm} + \underline{Hexagonal} + \begin{itemize} + \item $E_F^{\star}=4.48\, eV$ + \item unstable! + \end{itemize} + \end{minipage} + + \vspace{8pt} + + \begin{minipage}{4.3cm} + \includegraphics[width=3.8cm]{si_self_int_tetra_0.eps} + \end{minipage} + \begin{minipage}{4.3cm} + \includegraphics[width=3.8cm]{si_self_int_dumbbell_0.eps} + \end{minipage} + \begin{minipage}{4.3cm} + \includegraphics[width=3.8cm]{si_self_int_hexa_0.eps} + \end{minipage} + \end{slide} \begin{slide} @@ -304,6 +374,45 @@ Results } + Carbon interstitial experiments: + + \vspace{8pt} + + \small + + \begin{minipage}[t]{4.0cm} + \underline{Tetrahedral} + \begin{itemize} + \item $E_F=2.67\, eV$ + \end{itemize} + \end{minipage} + \hspace{0.3cm} + \begin{minipage}[t]{4.0cm} + \underline{110 dumbbell} + \begin{itemize} + \item $E_F=1.76\, eV$ + \end{itemize} + \end{minipage} + \hspace{0.3cm} + \begin{minipage}[t]{4.0cm} + \underline{Hexagonal} + \begin{itemize} + \item unstable! + \end{itemize} + \end{minipage} + + \vspace{8pt} + + \begin{minipage}{4.3cm} + \includegraphics[width=3.8cm]{c_in_si_int_tetra_0.eps} + \end{minipage} + \begin{minipage}{4.3cm} + \includegraphics[width=3.8cm]{c_in_si_int_dumbbell_0.eps} + \end{minipage} + \begin{minipage}{4.3cm} + \includegraphics[width=3.8cm]{c_in_si_int_hexa_0.eps} + \end{minipage} + \end{slide} \begin{slide} @@ -312,6 +421,8 @@ Results } + SiC-precipitation experiments: + \end{slide} \begin{slide} @@ -322,6 +433,5 @@ \end{slide} - \end{document}