X-Git-Url: https://hackdaworld.org/gitweb/?a=blobdiff_plain;f=posic%2Ftalks%2Fdpg_2008.tex;h=5349eac542dd8b8afd6ffa09fdb8e8ddd6cb642a;hb=49f1ea0ef08a54fb99739f04a420e689daef7c4f;hp=42a2415d535f75b2076925b21b8118339bc387b9;hpb=9e37e4e1e7789cc9ab7898066f66dd8a879f0a11;p=lectures%2Flatex.git diff --git a/posic/talks/dpg_2008.tex b/posic/talks/dpg_2008.tex index 42a2415..5349eac 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} @@ -135,7 +138,7 @@ \item Results gained by simulation \begin{itemize} \item Interstitials in silicon - \item $SiC$-precipitation experiments + \item SiC-precipitation experiments \end{itemize} \item Conclusion / Outlook \end{itemize} @@ -183,9 +186,11 @@ \end{minipage} \begin{center} - \[5a_{SiC}=4a_{Si} \quad \Rightarrow \quad + \[ + \textrm{Silicon density: } \quad + 5a_{SiC}=4a_{Si} \quad \Rightarrow \quad \frac{n_{SiC}}{n_{Si}}=\frac{\frac{4}{a_{SiC}^3}}{\frac{8}{a_{Si}^3}}= - \frac{5^3}{2\cdot4^3}=97,66\% + \frac{5^3}{2\cdot4^3}={\color{cyan}97,66}\,\% \] \end{center} @@ -232,22 +237,32 @@ 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 $(0,0,0)$ $\rightarrow$ tetrahedral - \item $(-1/8,-1/8,1/8)$ $\rightarrow$ hexagonal + \item $(0,0,0)$ $\rightarrow$ {\color{red}tetrahedral} + \item $(-1/8,-1/8,1/8)$ $\rightarrow$ {\color{green}hexagonal} \item $(-1/8,-1/8,-1/4)$, $(-1/4,-1/4,-1/4)$ - $\rightarrow$ 110 dumbbell + $\rightarrow$ {\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} @@ -294,6 +309,57 @@ 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} @@ -302,6 +368,14 @@ Results } + \vspace{8pt} + + Si self-interstitial \underline{random insertion} experiments: + + \vspace{8pt} + + foo + \end{slide} \begin{slide} @@ -310,6 +384,48 @@ Results } + Carbon interstitial experiments: + + \vspace{8pt} + + \small + + \begin{minipage}[t]{4.0cm} + \underline{Tetrahedral} + \begin{itemize} + \item $E_F=2.67\, eV$ + \item tetrahedral bond + \end{itemize} + \end{minipage} + \hspace{0.3cm} + \begin{minipage}[t]{4.0cm} + \underline{110 dumbbell} + \begin{itemize} + \item $E_F=1.76\, eV$ + \item C forms 3 bonds + \end{itemize} + \end{minipage} + \hspace{0.3cm} + \begin{minipage}[t]{4.0cm} + \underline{Hexagonal} + \begin{itemize} + \item $E_F\sim5.6\, eV$ + \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} @@ -318,16 +434,33 @@ Results } + \vspace{8pt} + + Carbon \underline{random insertion} experiments: + + \vspace{8pt} + + bar + \end{slide} \begin{slide} {\large\bf - Conclusion / Outlook + Results } + SiC-precipitation experiments: + \end{slide} +\begin{slide} + + {\large\bf + Conclusion / Outlook + } + +\end{slide} \end{document}