From: hackbard Date: Mon, 31 Oct 2011 21:31:54 +0000 (+0100) Subject: basically finished diploma stuff X-Git-Url: https://hackdaworld.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=208f3d69f2bd9631c24cbd328bcc1d85eef4be79;p=lectures%2Flatex.git basically finished diploma stuff --- diff --git a/posic/talks/mpi_app.tex b/posic/talks/mpi_app.tex index 4f0f76c..bd8e8dc 100644 --- a/posic/talks/mpi_app.tex +++ b/posic/talks/mpi_app.tex @@ -146,7 +146,7 @@ E\\ % no vertical centering \centerslidesfalse -\ifnum1=0 +%\ifnum1=0 % intro @@ -469,18 +469,175 @@ XTEM bright-field and respective EFTEM C map \end{slide} -% continue here -\fi - \begin{slide} {\large\bf Model displaying the formation of ordered lamellae } +\vspace{0.1cm} + +\begin{center} + \includegraphics[width=8.0cm]{../../nlsop/img/modell_ng_e.eps} +\end{center} + +\footnotesize + +\begin{itemize} +\item Supersaturation of C in c-Si\\ + $\rightarrow$ {\bf Carbon induced} nucleation of spherical + SiC$_x$-precipitates +\item High interfacial energy between 3C-SiC and c-Si\\ + $\rightarrow$ {\bf Amorphous} precipitates +\item \unit[20-- 30]{\%} lower silicon density of a-SiC$_x$ compared to c-Si\\ + $\rightarrow$ {\bf Lateral strain} (black arrows) +\item Implantation range near surface\\ + $\rightarrow$ {\bf Relaxation} of {\bf vertical strain component} +\item Reduction of the carbon supersaturation in c-Si\\ + $\rightarrow$ {\bf Carbon diffusion} into amorphous volumina + (white arrows) +\item Remaining lateral strain\\ + $\rightarrow$ {\bf Strain enhanced} lateral amorphisation +\item Absence of crystalline neighbours (structural information)\\ + $\rightarrow$ {\bf Stabilization} of amorphous inclusions + {\bf against recrystallization} +\end{itemize} + +\end{slide} + +\begin{slide} + +{\large\bf + Implementation of the Monte Carlo code +} + +\small + +\begin{enumerate} + \item \underline{Amorphization / Recrystallization}\\ + Ion collision in discretized target determined by random numbers + distributed according to nuclear energy loss. + Amorphization/recrystallization probability: +\[ +p_{c \rightarrow a}(\vec{r}) = {\color{green} p_b} + {\color{blue} p_c c_C(\vec{r})} + {\color{red} \sum_{\textrm{amorphous neighbours}} \frac{p_s c_C(\vec{r'})}{(r-r')^2}} +\] +\begin{itemize} + \item {\color{green} $p_b$} normal `ballistic' amorphization + \item {\color{blue} $p_c$} carbon induced amorphization + \item {\color{red} $p_s$} stress enhanced amorphization +\end{itemize} +\[ +p_{a \rightarrow c}(\vec r) = (1 - p_{c \rightarrow a}(\vec r)) \Big(1 - \frac{\sum_{direct \, neighbours} \delta (\vec{r'})}{6} \Big) \, \textrm{,} +\] +\[ +\delta (\vec r) = \left\{ +\begin{array}{ll} + 1 & \textrm{if volume at position $\vec r$ is amorphous} \\ + 0 & \textrm{otherwise} \\ +\end{array} +\right. +\] + \item \underline{Carbon incorporation}\\ + Incorporation volume determined according to implantation profile + \item \underline{Diffusion / Sputtering} + \begin{itemize} + \item Transfer fraction of C atoms + of crystalline into neighbored amorphous volumes + \item Remove surface layer + \end{itemize} +\end{enumerate} + +\end{slide} + +\begin{slide} + +\begin{minipage}{3.7cm} +{\large\bf + Results +} + +\footnotesize + +\vspace{1.0cm} + +Evolution of the \ldots +\begin{itemize} + \item continuous\\ + amorphous layer + \item a/c interface + \item lamella precipitates +\end{itemize} +\ldots reproduced!\\[1.5cm] + +{\color{blue} +\begin{center} +Experiment \& simulation\\ +in good agreement\\[1.0cm] + +Simulation is able to model the whole depth region\\[1.0cm] +\end{center} +} + +\end{minipage} +\begin{minipage}{0.4cm} +\vfill +\end{minipage} +\begin{minipage}{8.0cm} + \vspace{-0.2cm} + \includegraphics[width=9cm]{../../nlsop/img/dosis_entwicklung_ng_e_1-2.eps}\\ + \includegraphics[width=9cm]{../../nlsop/img/dosis_entwicklung_ng_e2_2-2.eps} +\end{minipage} + \end{slide} +\begin{slide} + +{\large\bf + Structural \& compositional details +} + +\begin{minipage}[t]{7.5cm} +\includegraphics[height=6.5cm]{../../nlsop/img/ac_cconc_ver2_e.eps}\\ +\end{minipage} +\begin{minipage}[t]{5.0cm} +\includegraphics[height=6.5cm]{../../nlsop/img/97_98_e.eps} +\end{minipage} + +\footnotesize + +\vspace{-0.1cm} + +\begin{itemize} + \item Fluctuation of C concentration in lamellae region + \item \unit[8--10]{at.\%} C saturation limit + within the respective conditions + \item Complementarily arranged and alternating sequence of layers\\ + with a high and low amount of amorphous regions + \item C accumulation in the amorphous phase / Origin of stress +\end{itemize} + +\begin{picture}(0,0)(-265,-30) +\framebox{ +\begin{minipage}{3cm} +\begin{center} +{\color{blue} +Precipitation process\\ +gets traceable\\ +by simulation! +} +\end{center} +\end{minipage} +} +\end{picture} + +\end{slide} + + \end{document} + +% continue here +\fi + \ifnum1=0 \begin{slide}