% layout check
%\layout
+\ifnum1=0
\begin{slide}
\center
{\Huge
E\\
}
\end{slide}
+\fi
% topic
\centerslidesfalse
% skip for preparation
-\ifnum1=0
+%\ifnum1=0
% intro
\end{slide}
-% motivation
-
-\begin{slide}
-
-\headphd
- {\large\bf
- Polytypes of SiC\\[0.6cm]
- }
-
-\vspace{0.6cm}
-
-\includegraphics[width=3.8cm]{cubic_hex.eps}\\
-\begin{minipage}{1.9cm}
-{\tiny cubic (twist)}
-\end{minipage}
-\begin{minipage}{2.9cm}
-{\tiny hexagonal (no twist)}
-\end{minipage}
-
-\begin{picture}(0,0)(-150,0)
- \includegraphics[width=7cm]{polytypes.eps}
-\end{picture}
-
-\vspace{0.6cm}
-
-\footnotesize
-
-\begin{tabular}{l c c c c c c}
-\hline
- & 3C-SiC & 4H-SiC & 6H-SiC & Si & GaN & Diamond\\
-\hline
-Hardness [Mohs] & \multicolumn{3}{c}{------ 9.6 ------}& 6.5 & - & 10 \\
-Band gap [eV] & 2.36 & 3.23 & 3.03 & 1.12 & 3.39 & 5.5 \\
-Break down field [$10^6$ V/cm] & 4 & 3 & 3.2 & 0.6 & 5 & 10 \\
-Saturation drift velocity [$10^7$ cm/s] & 2.5 & 2.0 & 2.0 & 1 & 2.7 & 2.7 \\
-Electron mobility [cm$^2$/Vs] & 800 & 900 & 400 & 1100 & 900 & 2200 \\
-Hole mobility [cm$^2$/Vs] & 320 & 120 & 90 & 420 & 150 & 1600 \\
-Thermal conductivity [W/cmK] & 5.0 & 4.9 & 4.9 & 1.5 & 1.3 & 22 \\
-\hline
-\end{tabular}
-
-\begin{pspicture}(0,0)(0,0)
-\psellipse[linecolor=green](5.7,2.05)(0.4,0.50)
-\end{pspicture}
-\begin{pspicture}(0,0)(0,0)
-\psellipse[linecolor=green](5.6,0.89)(0.4,0.20)
-\end{pspicture}
-\begin{pspicture}(0,0)(0,0)
-\psellipse[linecolor=red](10.45,0.42)(0.4,0.20)
-\end{pspicture}
-
-\end{slide}
-
% fabrication
+\ifnum1=0
\begin{slide}
\headphd
\vspace{-0.5cm}
-\begin{center}
-\color{red}
-\framebox{
-{\footnotesize\color{black}
- Mismatch in \underline{thermal expansion coeefficient}
- and \underline{lattice parameter} w.r.t. substrate
-}
-}
-\end{center}
+%\begin{center}
+%\color{red}
+%\framebox{
+%{\footnotesize\color{black}
+% Mismatch in \underline{thermal expansion coeefficient}
+% and \underline{lattice parameter} w.r.t. substrate
+%}
+%}
+%\end{center}
\vspace{0.1cm}
\end{minipage}
}
\begin{minipage}{5.5cm}
-\begin{center}
-{\footnotesize
-No surface bending effects\\
-High areal homogenity\\[0.1cm]
-$\Downarrow$\\[0.1cm]
-Synthesis of large area SiC films possible
-}
-\end{center}
+ \includegraphics[width=5.8cm]{ibs_3c-sic.eps}\\[-0.2cm]
+ \begin{center}
+ {\tiny
+ XTEM: single crystalline 3C-SiC in Si\hkl(1 0 0)
+ }
+ \end{center}
\end{minipage}
+%\begin{minipage}{5.5cm}
+%\begin{center}
+%{\footnotesize
+%No surface bending effects\\
+%High areal homogenity\\[0.1cm]
+%$\Downarrow$\\[0.1cm]
+%Synthesis of large area SiC films possible
+%}
+%\end{center}
+%\end{minipage}
+
\end{slide}
+\fi
\begin{slide}
$\Rightarrow$ Epitaxial {\color{blue}3C-SiC} layer \&
{\color{blue}precipitates}
\item \underline{Implantation step 2}\\[0.1cm]
- Little remaining dose | \unit[180]{keV} | \degc{250}\\
+ Low remaining amount of dose | \unit[180]{keV} | \degc{250}\\
$\Rightarrow$
Destruction/Amorphization of precipitates at layer interface
\item \underline{Annealing}\\[0.1cm]
\end{slide}
-%\end{document}
-% temp
-%\ifnum1=0
-
-% contents
-
\begin{slide}
\headphd
\begin{itemize}
\item High-temperature implantation {\tiny\color{gray}/Nejim~et~al./}
\begin{itemize}
- \item C incorporated {\color{blue}substitutionally} on regular Si lattice sites
+ \item {\color{blue}Substitutionally} incorporated C on regular Si lattice sites
\item \si{} reacting with further C in cleared volume
\end{itemize}
\item Annealing behavior {\tiny\color{gray}/Serre~et~al./}
\end{itemize}
$\Rightarrow$ mobile {\color{red}\ci} opposed to
stable {\color{blue}\cs{}} configurations
-\item Strained silicon \& Si/SiC heterostructures
+\item Strained silicon \& Si$_{1-y}$C$_y$ heterostructures
{\tiny\color{gray}/Strane~et~al./Guedj~et~al./}
\begin{itemize}
- \item {\color{blue}Coherent} SiC precipitates (tensile strain)
+ \item Initial {\color{blue}coherent} SiC precipitates (tensile strain)
\item Incoherent SiC (strain relaxation)
\end{itemize}
\end{itemize}
\end{slide}
-\fi
-
\begin{slide}
+% contents
+
\headphd
{\large\bf
Outline
\footnotesize
-\headphd
-{\large\bf
- Si self-interstitial point defects in silicon\\[0.1cm]
-}
-
-\begin{center}
-\begin{tabular}{l c c c c c}
-\hline
- $E_{\text{f}}$ [eV] & \hkl<1 1 0> DB & H & T & \hkl<1 0 0> DB & V \\
-\hline
- \textsc{vasp} & \underline{3.39} & 3.42 & 3.77 & 4.41 & 3.63 \\
- Erhart/Albe & 4.39 & 4.48$^*$ & \underline{3.40} & 5.42 & 3.13 \\
-\hline
-\end{tabular}\\[0.4cm]
-\end{center}
-
-\begin{minipage}{3cm}
-\begin{center}
-\underline{Vacancy}\\
-\includegraphics[width=2.8cm]{si_pd_albe/vac.eps}
-\end{center}
-\end{minipage}
-\begin{minipage}{3cm}
-\begin{center}
-\underline{\hkl<1 1 0> DB}\\
-\includegraphics[width=2.8cm]{si_pd_albe/110_bonds.eps}
-\end{center}
-\end{minipage}
-\begin{minipage}{3cm}
-\begin{center}
-\underline{\hkl<1 0 0> DB}\\
-\includegraphics[width=2.8cm]{si_pd_albe/100_bonds.eps}
-\end{center}
-\end{minipage}
-\begin{minipage}{3cm}
-\begin{center}
-\underline{Tetrahedral}\\
-\includegraphics[width=2.8cm]{si_pd_albe/tet_bonds.eps}
-\end{center}
-\end{minipage}\\
-
-\underline{Hexagonal} \hspace{2pt}
-\href{../video/si_self_int_hexa.avi}{$\rhd$}\\[0.1cm]
-\framebox{
-\begin{minipage}{2.7cm}
-$E_{\text{f}}^*=4.48\text{ eV}$\\
-\includegraphics[width=2.7cm]{si_pd_albe/hex_a_bonds.eps}
-\end{minipage}
-\begin{minipage}{0.4cm}
-\begin{center}
-$\Rightarrow$
-\end{center}
-\end{minipage}
-\begin{minipage}{2.7cm}
-$E_{\text{f}}=3.96\text{ eV}$\\
-\includegraphics[width=2.8cm]{si_pd_albe/hex_bonds.eps}
-\end{minipage}
-}
-\begin{minipage}{5.5cm}
-\begin{center}
-{\tiny nearly T $\rightarrow$ T}\\
-\end{center}
-\includegraphics[width=6.0cm]{nhex_tet.ps}
-\end{minipage}
-
-\end{slide}
-
-\begin{slide}
-
-\footnotesize
-
\headphd
{\large\bf
C interstitial point defects in silicon\\
\end{slide}
-\end{document}
-\ifnum1=0
-
\begin{slide}
\headphd
{\large\bf\boldmath
- C-Si dimer \& bond-centered interstitial configuration
+ C interstitial migration --- ab initio
}
-\footnotesize
+\scriptsize
-\vspace{0.1cm}
+\vspace{0.2cm}
-\begin{minipage}[t]{4.1cm}
-{\bf\boldmath C \hkl<1 0 0> DB interstitial}\\[0.1cm]
+\begin{minipage}{6.8cm}
+\framebox{\hkl[0 0 -1] $\rightarrow$ \hkl[0 0 1]}\\
\begin{minipage}{2.0cm}
-\begin{center}
-\underline{Erhart/Albe}
-\includegraphics[width=2.0cm]{c_pd_albe/100_cmp.eps}
-\end{center}
+\includegraphics[width=2.0cm]{c_pd_vasp/100_2333.eps}
+\end{minipage}
+\begin{minipage}{0.2cm}
+$\rightarrow$
\end{minipage}
\begin{minipage}{2.0cm}
-\begin{center}
-\underline{\textsc{vasp}}
-\includegraphics[width=2.0cm]{c_pd_vasp/100_cmp.eps}
-\end{center}
-\end{minipage}\\[0.2cm]
-Si-C-Si bond angle $\rightarrow$ \unit[180]{$^{\circ}$}\\
-$\Rightarrow$ $sp$ hybridization\\[0.1cm]
-Si-Si-Si bond angle $\rightarrow$ \unit[120]{$^{\circ}$}\\
-$\Rightarrow$ $sp^2$ hybridization
-\begin{center}
-\includegraphics[width=3.4cm]{c_pd_vasp/eden.eps}\\[-0.1cm]
-{\tiny Charge density isosurface}
-\end{center}
+\includegraphics[width=2.0cm]{c_pd_vasp/bc_2333.eps}
\end{minipage}
\begin{minipage}{0.2cm}
-\hfill
+$\rightarrow$
\end{minipage}
-\begin{minipage}[t]{8.1cm}
-\begin{flushright}
-{\bf Bond-centered interstitial}\\[0.1cm]
-\begin{minipage}{4.4cm}
-%\scriptsize
-\begin{itemize}
- \item Linear Si-C-Si bond
- \item Si: one C \& 3 Si neighbours
- \item Spin polarized calculations
- \item No saddle point!\\
- Real local minimum!
-\end{itemize}
+\begin{minipage}{2.0cm}
+\includegraphics[width=2.0cm]{c_pd_vasp/100_next_2333.eps}
+\end{minipage}\\[0.1cm]
+Spin polarization\\
+$\Rightarrow$ BC configuration constitutes local minimum\\
+$\Rightarrow$ Migration barrier to reach BC | $\Delta E=\unit[1.2]{eV}$
\end{minipage}
-\begin{minipage}{2.7cm}
-%\includegraphics[width=2.8cm]{c_pd_vasp/bc_2333.eps}\\
-\vspace{0.2cm}
-\includegraphics[width=2.8cm]{c_pd_albe/bc_bonds.eps}\\
+\begin{minipage}{5.4cm}
+\includegraphics[width=6.0cm]{im_00-1_nosym_sp_fullct_thesis_vasp_s.ps}
+%\end{minipage}\\[0.2cm]
+\end{minipage}\\[0.3cm]
+%\hrule
+%
+\begin{minipage}{6.8cm}
+\framebox{\hkl[0 0 -1] $\rightarrow$ \hkl[0 -1 0]}\\
+\begin{minipage}{2.0cm}
+\includegraphics[width=2.0cm]{c_pd_vasp/100_2333.eps}
+\end{minipage}
+\begin{minipage}{0.2cm}
+$\rightarrow$
+\end{minipage}
+\begin{minipage}{2.0cm}
+\includegraphics[width=2.0cm]{c_pd_vasp/00-1-0-10_2333.eps}
+\end{minipage}
+\begin{minipage}{0.2cm}
+$\rightarrow$
+\end{minipage}
+\begin{minipage}{2.0cm}
+\includegraphics[width=2.0cm]{c_pd_vasp/0-10_2333.eps}
+\end{minipage}\\[0.1cm]
+$\Delta E=\unit[0.9]{eV}$ | Experimental values: \unit[0.70--0.87]{eV}\\
+$\Rightarrow$ {\color{red}Migration mechanism identified!}\\
+Note: Change in orientation
\end{minipage}
-
-\framebox{
- \tiny
- \begin{minipage}[t]{6.5cm}
- \begin{minipage}[t]{1.2cm}
- {\color{red}Si}\\
- {\tiny sp$^3$}\\[0.8cm]
- \underline{${\color{black}\uparrow}$}
- \underline{${\color{black}\uparrow}$}
- \underline{${\color{black}\uparrow}$}
- \underline{${\color{red}\uparrow}$}\\
- sp$^3$
- \end{minipage}
- \begin{minipage}[t]{1.4cm}
- \begin{center}
- {\color{red}M}{\color{blue}O}\\[0.8cm]
- \underline{${\color{blue}\uparrow}{\color{white}\downarrow}$}\\
- $\sigma_{\text{ab}}$\\[0.5cm]
- \underline{${\color{red}\uparrow}{\color{blue}\downarrow}$}\\
- $\sigma_{\text{b}}$
- \end{center}
- \end{minipage}
- \begin{minipage}[t]{1.0cm}
- \begin{center}
- {\color{blue}C}\\
- {\tiny sp}\\[0.2cm]
- \underline{${\color{white}\uparrow\uparrow}$}
- \underline{${\color{white}\uparrow\uparrow}$}\\
- 2p\\[0.4cm]
- \underline{${\color{blue}\uparrow}{\color{blue}\downarrow}$}
- \underline{${\color{blue}\uparrow}{\color{blue}\downarrow}$}\\
- sp
- \end{center}
- \end{minipage}
- \begin{minipage}[t]{1.4cm}
- \begin{center}
- {\color{blue}M}{\color{green}O}\\[0.8cm]
- \underline{${\color{blue}\uparrow}{\color{white}\downarrow}$}\\
- $\sigma_{\text{ab}}$\\[0.5cm]
- \underline{${\color{green}\uparrow}{\color{blue}\downarrow}$}\\
- $\sigma_{\text{b}}$
- \end{center}
- \end{minipage}
- \begin{minipage}[t]{1.2cm}
- \begin{flushright}
- {\color{green}Si}\\
- {\tiny sp$^3$}\\[0.8cm]
- \underline{${\color{green}\uparrow}$}
- \underline{${\color{black}\uparrow}$}
- \underline{${\color{black}\uparrow}$}
- \underline{${\color{black}\uparrow}$}\\
- sp$^3$
- \end{flushright}
- \end{minipage}
- \end{minipage}
-}\\[0.4cm]
-
-%\framebox{
-\begin{minipage}{3.0cm}
-%\scriptsize
-\underline{Charge density}\\
-{\color{gray}$\bullet$} Spin up\\
-{\color{green}$\bullet$} Spin down\\
-{\color{blue}$\bullet$} Resulting spin up\\
-{\color{yellow}$\bullet$} Si atoms\\
-{\color{red}$\bullet$} C atom
-\end{minipage}
-\begin{minipage}{3.6cm}
-\includegraphics[width=3.8cm]{c_100_mig_vasp/im_spin_diff.eps}
-\end{minipage}
-%}
-
-\end{flushright}
-
-\end{minipage}
-\begin{pspicture}(0,0)(0,0)
-\psline[linecolor=gray,linewidth=0.05cm](-7.8,-8.7)(-7.8,0)
-\end{pspicture}
-
-\end{slide}
-
-\begin{slide}
-
-\headphd
-{\large\bf\boldmath
- C interstitial migration --- ab initio
-}
-
-\scriptsize
-
-\vspace{0.1cm}
-
-\begin{minipage}{6.8cm}
-\framebox{\hkl[0 0 -1] $\rightarrow$ \hkl[0 0 1]}\\
-\begin{minipage}{2.0cm}
-\includegraphics[width=2.0cm]{c_pd_vasp/100_2333.eps}
-\end{minipage}
-\begin{minipage}{0.2cm}
-$\rightarrow$
-\end{minipage}
-\begin{minipage}{2.0cm}
-\includegraphics[width=2.0cm]{c_pd_vasp/bc_2333.eps}
-\end{minipage}
-\begin{minipage}{0.2cm}
-$\rightarrow$
-\end{minipage}
-\begin{minipage}{2.0cm}
-\includegraphics[width=2.0cm]{c_pd_vasp/100_next_2333.eps}
-\end{minipage}\\[0.1cm]
-Spin polarization\\
-$\Rightarrow$ BC configuration constitutes local minimum\\
-$\Rightarrow$ Migration barrier to reach BC | $\Delta E=\unit[1.2]{eV}$
-\end{minipage}
-\begin{minipage}{5.4cm}
-\includegraphics[width=6.0cm]{im_00-1_nosym_sp_fullct_thesis_vasp_s.ps}
-\end{minipage}\\[0.2cm]
-%\hrule
-%
-\begin{minipage}{6.8cm}
-\framebox{\hkl[0 0 -1] $\rightarrow$ \hkl[0 -1 0]}\\
-\begin{minipage}{2.0cm}
-\includegraphics[width=2.0cm]{c_pd_vasp/100_2333.eps}
-\end{minipage}
-\begin{minipage}{0.2cm}
-$\rightarrow$
-\end{minipage}
-\begin{minipage}{2.0cm}
-\includegraphics[width=2.0cm]{c_pd_vasp/00-1-0-10_2333.eps}
-\end{minipage}
-\begin{minipage}{0.2cm}
-$\rightarrow$
-\end{minipage}
-\begin{minipage}{2.0cm}
-\includegraphics[width=2.0cm]{c_pd_vasp/0-10_2333.eps}
-\end{minipage}\\[0.1cm]
-$\Delta E=\unit[0.9]{eV}$ | Experimental values: \unit[0.70--0.87]{eV}\\
-$\Rightarrow$ {\color{red}Migration mechanism identified!}\\
-Note: Change in orientation
-\end{minipage}
-\begin{minipage}{5.4cm}
-\includegraphics[width=6.0cm]{00-1_0-10_vasp_s.ps}
-\end{minipage}\\[0.1cm]
-%
-\begin{center}
-Reorientation pathway composed of two consecutive processes of the above type
-\end{center}
+\begin{minipage}{5.4cm}
+\includegraphics[width=6.0cm]{00-1_0-10_vasp_s.ps}
+\end{minipage}\\[0.1cm]
+%
+%\begin{center}
+%Reorientation pathway composed of two consecutive processes of the above type
+%\end{center}
\end{slide}
\begin{itemize}
\item Stretched coherent SiC structures\\
$\Rightarrow$ Precipitation process involves {\color{blue}\cs}
-\item Explains annealing behavior of high/low T C implantations
- \begin{itemize}
- \item Low T: highly mobile {\color{red}\ci}
- \item High T: stable configurations of {\color{blue}\cs}
- \end{itemize}
\item Role of \si{}
\begin{itemize}
\item Vehicle to rearrange \cs --- [\cs{} \& \si{} $\leftrightarrow$ \ci]
\ldots Si/SiC interface\\
\ldots within stretched coherent SiC structure
\end{itemize}
+\item Explains annealing behavior of high/low T C implantations
+ \begin{itemize}
+ \item Low T: highly mobile {\color{red}\ci}
+ \item High T: stable configurations of {\color{blue}\cs}
+ \end{itemize}
\end{itemize}
\vspace{0.2cm}
\centering
\end{slide}
-% skip high T / C conc ... only here!
+% skip high c conc results
\ifnum1=0
\begin{slide}
\footnotesize
-\begin{minipage}{6.5cm}
+\begin{minipage}{6.0cm}
\includegraphics[width=6.4cm]{12_pc_thesis.ps}
\end{minipage}
-\begin{minipage}{6.5cm}
+\begin{minipage}{6.0cm}
\includegraphics[width=6.4cm]{12_pc_c_thesis.ps}
\end{minipage}
\end{slide}
-% skipped high T / C conc
+% skip high c conc
\fi
+% for preparation
+%\fi
+
\begin{slide}
+\headphd
{\large\bf
- Summary / Outlook
+ Summary and Conclusions
}
-\small
+\footnotesize
-\begin{pspicture}(0,0)(12,1.0)
-\psframebox[fillstyle=gradient,gradbegin=hred,gradend=white,gradlines=1000,gradmidpoint=1.0,linestyle=none]{
-\begin{minipage}{11cm}
-{\color{black}Diploma thesis}\\
- \underline{Monte Carlo} simulation modeling the selforganization process\\
- leading to periodic arrays of nanometric amorphous SiC precipitates
+\vspace{0.1cm}
+
+\framebox{
+\begin{minipage}{12.3cm}
+ \underline{Defects}
+ \begin{itemize}
+ \item DFT / EA
+ \begin{itemize}
+ \item Point defects excellently / fairly well described
+ by DFT / EA
+ \item Identified \ci{} migration path
+ \item EA drastically overestimates the diffusion barrier
+ \end{itemize}
+ \item Combinations of defects
+ \begin{itemize}
+ \item Agglomeration of point defects energetically favorable
+ \item C$_{\text{sub}}$ favored conditions (conceivable in IBS)
+ \item \ci{} \hkl<1 0 0> $\leftrightarrow$ \cs{} \& \si{} \hkl<1 1 0>\\
+ Low barrier (\unit[0.77]{eV}) \& low capture radius
+ \end{itemize}
+ \end{itemize}
\end{minipage}
}
-\end{pspicture}\\[0.4cm]
-\begin{pspicture}(0,0)(12,2)
-\psframebox[fillstyle=gradient,gradbegin=hblue,gradend=white,gradmidpoint=1.0,gradlines=1000,linestyle=none]{
-\begin{minipage}{11cm}
-{\color{black}Doctoral studies}\\
- Classical potential \underline{molecular dynamics} simulations \ldots\\
- \underline{Density functional theory} calculations \ldots\\[0.2cm]
- \ldots on defect formation and SiC precipitation in Si
+
+\framebox{
+\begin{minipage}[t]{12.3cm}
+ \underline{Pecipitation simulations}
+ \begin{itemize}
+ \item Problem of potential enhanced slow phase space propagation
+ \item Low T $\rightarrow$ C-Si \hkl<1 0 0> dumbbell dominated structure
+ \item High T $\rightarrow$ C$_{\text{sub}}$ dominated structure
+ \item High T necessary to simulate IBS conditions (far from equilibrium)
+ \item Increased participation of \cs{} in the precipitation process
+ \item \si{}: vehicle to form \cs{} \& supply of Si \& stress compensation
+ (stretched SiC, interface)
+ \end{itemize}
\end{minipage}
}
-\end{pspicture}\\[0.5cm]
-\begin{pspicture}(0,0)(12,3)
-\psframebox[fillstyle=solid,fillcolor=white,linestyle=solid]{
-\begin{minipage}{11cm}
-\vspace{0.2cm}
-{\color{black}\bf How to proceed \ldots}\\[0.1cm]
-MC $\rightarrow$ empirical potential MD $\rightarrow$ Ground-state DFT \ldots
-\begin{itemize}
- \renewcommand\labelitemi{$\ldots$}
- \item beyond LDA/GGA methods \& ground-state DFT
-\end{itemize}
-Investigation of structure \& structural evolution \ldots
-\begin{itemize}
- \renewcommand\labelitemi{$\ldots$}
- \item electronic/optical properties
- \item electronic correlations
- \item non-equilibrium systems
-\end{itemize}
-\end{minipage}
+
+\begin{center}
+{\color{blue}\bf
+\framebox{Precipitation by successive agglomeration of \cs{}}
}
-\end{pspicture}\\[0.5cm]
+\end{center}
\end{slide}
\begin{slide}
- {\large\bf
- Acknowledgements
- }
+\headphd
+{\large\bf
+ Acknowledgements
+}
\vspace{0.1cm}
\underline{Augsburg}
\begin{itemize}
- \item Prof. B. Stritzker (accomodation at EP \RM{4})
- \item Ralf Utermann (EDV)
+ \item Prof. B. Stritzker
+ \item Ralf Utermann
\end{itemize}
\underline{Helsinki}
\begin{itemize}
- \item Prof. K. Nordlund (MD)
+ \item Prof. K. Nordlund
\end{itemize}
\underline{Munich}
\begin{itemize}
- \item Bayerische Forschungsstiftung (financial support)
+ \item Bayerische Forschungsstiftung
\end{itemize}
\underline{Paderborn}
\begin{itemize}
- \item Prof. J. Lindner (SiC)
- \item Prof. G. Schmidt (DFT + financial support)
- \item Dr. E. Rauls (DFT + SiC)
+ \item Prof. J. Lindner
+ \item Prof. G. Schmidt
+ \item Dr. E. Rauls
\end{itemize}
- \underline{Stuttgart}
+\vspace{ 0.2cm}
+
\begin{center}
\framebox{
-\bf Thank you for your attention / invitation!
+\normalsize\bf Thank you for your attention!
}
\end{center}
\end{slide}
-\end{document}
+\begin{slide}
-\fi
+\headphd
+ {\large\bf
+ Polytypes of SiC\\[0.6cm]
+ }
+
+\vspace{0.6cm}
+
+\includegraphics[width=3.8cm]{cubic_hex.eps}\\
+\begin{minipage}{1.9cm}
+{\tiny cubic (twist)}
+\end{minipage}
+\begin{minipage}{2.9cm}
+{\tiny hexagonal (no twist)}
+\end{minipage}
+
+\begin{picture}(0,0)(-150,0)
+ \includegraphics[width=7cm]{polytypes.eps}
+\end{picture}
+
+\vspace{0.6cm}
+
+\footnotesize
+
+\begin{tabular}{l c c c c c c}
+\hline
+ & 3C-SiC & 4H-SiC & 6H-SiC & Si & GaN & Diamond\\
+\hline
+Hardness [Mohs] & \multicolumn{3}{c}{------ 9.6 ------}& 6.5 & - & 10 \\
+Band gap [eV] & 2.36 & 3.23 & 3.03 & 1.12 & 3.39 & 5.5 \\
+Break down field [$10^6$ V/cm] & 4 & 3 & 3.2 & 0.6 & 5 & 10 \\
+Saturation drift velocity [$10^7$ cm/s] & 2.5 & 2.0 & 2.0 & 1 & 2.7 & 2.7 \\
+Electron mobility [cm$^2$/Vs] & 800 & 900 & 400 & 1100 & 900 & 2200 \\
+Hole mobility [cm$^2$/Vs] & 320 & 120 & 90 & 420 & 150 & 1600 \\
+Thermal conductivity [W/cmK] & 5.0 & 4.9 & 4.9 & 1.5 & 1.3 & 22 \\
+\hline
+\end{tabular}
+
+\begin{pspicture}(0,0)(0,0)
+\psellipse[linecolor=green](5.7,2.05)(0.4,0.50)
+\end{pspicture}
+\begin{pspicture}(0,0)(0,0)
+\psellipse[linecolor=green](5.6,0.89)(0.4,0.20)
+\end{pspicture}
+\begin{pspicture}(0,0)(0,0)
+\psellipse[linecolor=red](10.45,0.42)(0.4,0.20)
+\end{pspicture}
+
+\end{slide}
+
+\begin{slide}
+
+\footnotesize
+
+\headphd
+{\large\bf
+ Si self-interstitial point defects in silicon\\[0.1cm]
+}
+
+\begin{center}
+\begin{tabular}{l c c c c c}
+\hline
+ $E_{\text{f}}$ [eV] & \hkl<1 1 0> DB & H & T & \hkl<1 0 0> DB & V \\
+\hline
+ \textsc{vasp} & \underline{3.39} & 3.42 & 3.77 & 4.41 & 3.63 \\
+ Erhart/Albe & 4.39 & 4.48$^*$ & \underline{3.40} & 5.42 & 3.13 \\
+\hline
+\end{tabular}\\[0.4cm]
+\end{center}
+
+\begin{minipage}{3cm}
+\begin{center}
+\underline{Vacancy}\\
+\includegraphics[width=2.8cm]{si_pd_albe/vac.eps}
+\end{center}
+\end{minipage}
+\begin{minipage}{3cm}
+\begin{center}
+\underline{\hkl<1 1 0> DB}\\
+\includegraphics[width=2.8cm]{si_pd_albe/110_bonds.eps}
+\end{center}
+\end{minipage}
+\begin{minipage}{3cm}
+\begin{center}
+\underline{\hkl<1 0 0> DB}\\
+\includegraphics[width=2.8cm]{si_pd_albe/100_bonds.eps}
+\end{center}
+\end{minipage}
+\begin{minipage}{3cm}
+\begin{center}
+\underline{Tetrahedral}\\
+\includegraphics[width=2.8cm]{si_pd_albe/tet_bonds.eps}
+\end{center}
+\end{minipage}\\
+
+\underline{Hexagonal} \hspace{2pt}
+\href{../video/si_self_int_hexa.avi}{$\rhd$}\\[0.1cm]
+\framebox{
+\begin{minipage}{2.7cm}
+$E_{\text{f}}^*=4.48\text{ eV}$\\
+\includegraphics[width=2.7cm]{si_pd_albe/hex_a_bonds.eps}
+\end{minipage}
+\begin{minipage}{0.4cm}
+\begin{center}
+$\Rightarrow$
+\end{center}
+\end{minipage}
+\begin{minipage}{2.7cm}
+$E_{\text{f}}=3.96\text{ eV}$\\
+\includegraphics[width=2.8cm]{si_pd_albe/hex_bonds.eps}
+\end{minipage}
+}
+\begin{minipage}{5.5cm}
+\begin{center}
+{\tiny nearly T $\rightarrow$ T}\\
+\end{center}
+\includegraphics[width=6.0cm]{nhex_tet.ps}
+\end{minipage}
+
+\end{slide}
+
+\begin{slide}
+
+\headphd
+{\large\bf\boldmath
+ C-Si dimer \& bond-centered interstitial configuration
+}
+
+\footnotesize
+
+\vspace{0.1cm}
+
+\begin{minipage}[t]{4.1cm}
+{\bf\boldmath C \hkl<1 0 0> DB interstitial}\\[0.1cm]
+\begin{minipage}{2.0cm}
+\begin{center}
+\underline{Erhart/Albe}
+\includegraphics[width=2.0cm]{c_pd_albe/100_cmp.eps}
+\end{center}
+\end{minipage}
+\begin{minipage}{2.0cm}
+\begin{center}
+\underline{\textsc{vasp}}
+\includegraphics[width=2.0cm]{c_pd_vasp/100_cmp.eps}
+\end{center}
+\end{minipage}\\[0.2cm]
+Si-C-Si bond angle $\rightarrow$ \unit[180]{$^{\circ}$}\\
+$\Rightarrow$ $sp$ hybridization\\[0.1cm]
+Si-Si-Si bond angle $\rightarrow$ \unit[120]{$^{\circ}$}\\
+$\Rightarrow$ $sp^2$ hybridization
+\begin{center}
+\includegraphics[width=3.4cm]{c_pd_vasp/eden.eps}\\[-0.1cm]
+{\tiny Charge density isosurface}
+\end{center}
+\end{minipage}
+\begin{minipage}{0.2cm}
+\hfill
+\end{minipage}
+\begin{minipage}[t]{8.1cm}
+\begin{flushright}
+{\bf Bond-centered interstitial}\\[0.1cm]
+\begin{minipage}{4.4cm}
+%\scriptsize
+\begin{itemize}
+ \item Linear Si-C-Si bond
+ \item Si: one C \& 3 Si neighbours
+ \item Spin polarized calculations
+ \item No saddle point!\\
+ Real local minimum!
+\end{itemize}
+\end{minipage}
+\begin{minipage}{2.7cm}
+%\includegraphics[width=2.8cm]{c_pd_vasp/bc_2333.eps}\\
+\vspace{0.2cm}
+\includegraphics[width=2.8cm]{c_pd_albe/bc_bonds.eps}\\
+\end{minipage}
+
+\framebox{
+ \tiny
+ \begin{minipage}[t]{6.5cm}
+ \begin{minipage}[t]{1.2cm}
+ {\color{red}Si}\\
+ {\tiny sp$^3$}\\[0.8cm]
+ \underline{${\color{black}\uparrow}$}
+ \underline{${\color{black}\uparrow}$}
+ \underline{${\color{black}\uparrow}$}
+ \underline{${\color{red}\uparrow}$}\\
+ sp$^3$
+ \end{minipage}
+ \begin{minipage}[t]{1.4cm}
+ \begin{center}
+ {\color{red}M}{\color{blue}O}\\[0.8cm]
+ \underline{${\color{blue}\uparrow}{\color{white}\downarrow}$}\\
+ $\sigma_{\text{ab}}$\\[0.5cm]
+ \underline{${\color{red}\uparrow}{\color{blue}\downarrow}$}\\
+ $\sigma_{\text{b}}$
+ \end{center}
+ \end{minipage}
+ \begin{minipage}[t]{1.0cm}
+ \begin{center}
+ {\color{blue}C}\\
+ {\tiny sp}\\[0.2cm]
+ \underline{${\color{white}\uparrow\uparrow}$}
+ \underline{${\color{white}\uparrow\uparrow}$}\\
+ 2p\\[0.4cm]
+ \underline{${\color{blue}\uparrow}{\color{blue}\downarrow}$}
+ \underline{${\color{blue}\uparrow}{\color{blue}\downarrow}$}\\
+ sp
+ \end{center}
+ \end{minipage}
+ \begin{minipage}[t]{1.4cm}
+ \begin{center}
+ {\color{blue}M}{\color{green}O}\\[0.8cm]
+ \underline{${\color{blue}\uparrow}{\color{white}\downarrow}$}\\
+ $\sigma_{\text{ab}}$\\[0.5cm]
+ \underline{${\color{green}\uparrow}{\color{blue}\downarrow}$}\\
+ $\sigma_{\text{b}}$
+ \end{center}
+ \end{minipage}
+ \begin{minipage}[t]{1.2cm}
+ \begin{flushright}
+ {\color{green}Si}\\
+ {\tiny sp$^3$}\\[0.8cm]
+ \underline{${\color{green}\uparrow}$}
+ \underline{${\color{black}\uparrow}$}
+ \underline{${\color{black}\uparrow}$}
+ \underline{${\color{black}\uparrow}$}\\
+ sp$^3$
+ \end{flushright}
+ \end{minipage}
+ \end{minipage}
+}\\[0.4cm]
+
+%\framebox{
+\begin{minipage}{3.0cm}
+%\scriptsize
+\underline{Charge density}\\
+{\color{gray}$\bullet$} Spin up\\
+{\color{green}$\bullet$} Spin down\\
+{\color{blue}$\bullet$} Resulting spin up\\
+{\color{yellow}$\bullet$} Si atoms\\
+{\color{red}$\bullet$} C atom
+\end{minipage}
+\begin{minipage}{3.6cm}
+\includegraphics[width=3.8cm]{c_100_mig_vasp/im_spin_diff.eps}
+\end{minipage}
+%}
+
+\end{flushright}
+
+\end{minipage}
+\begin{pspicture}(0,0)(0,0)
+\psline[linecolor=gray,linewidth=0.05cm](-7.8,-8.7)(-7.8,0)
+\end{pspicture}
+
+\end{slide}
+
+\end{document}
projects / lectures / latex.git / blobdiff