X-Git-Url: https://hackdaworld.org/gitweb/?a=blobdiff_plain;f=posic%2Ftalks%2Fmpi_app.tex;h=358698d6a10699712337d71d8dff01c5a5c6ba87;hb=01f5420ca3315280e622d8df277abbd73c4ee4f5;hp=2bf8383fd95ba5a487e0f7f27062a15681b7daf9;hpb=1c838933fa76951ad4deb1164e8d2a950b6771cf;p=lectures%2Flatex.git

diff --git a/posic/talks/mpi_app.tex b/posic/talks/mpi_app.tex
index 2bf8383..358698d 100644
--- a/posic/talks/mpi_app.tex
+++ b/posic/talks/mpi_app.tex
@@ -1741,218 +1741,235 @@ Interaction along \hkl[1 1 0]
 
 \end{slide}
 
-% continue here
-\fi
-
 \begin{slide}
 
+\headphd
 {\large\bf
- Defect combinations
+ Defect combinations of C-Si dimers and vacancies
 }
-
 \footnotesize
 
-\vspace{0.1cm}
+\vspace{0.2cm}
 
-{\bf Combinations of \ci{} \hkl[0 0 -1] and a vacancy}\\
-\begin{minipage}[t]{3cm}
-\underline{Pos 2, $E_{\text{b}}=-0.59\text{ eV}$}\\
-\includegraphics[width=2.8cm]{00-1dc/0-59.eps}
+\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}[t]{7cm}
-\vspace{0.2cm}
-\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}
-\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}[t]{3cm}
-\underline{Pos 3, $E_{\text{b}}=-3.14\text{ eV}$}\\
-\includegraphics[width=2.8cm]{00-1dc/3-14.eps}
+\begin{minipage}{6.5cm}
+\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)
 
-\framebox{
-\begin{minipage}{5.9cm}
-\includegraphics[width=5.9cm]{vasp_mig/comb_mig_3-2_vac_fullct.ps}\\[0.6cm]
+\rput(6.3,7.0){\rnode{init}{\psframebox[fillstyle=solid,fillcolor=white,linewidth=0.05cm,linecolor=gray]{
+\begin{minipage}{6.5cm}
 \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}
-\end{center}
-\vspace{0.1cm}
-\end{minipage}
+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}
+High probability of stable C$_{\text{sub}}$ configuration
 }
-\begin{minipage}{0.3cm}
-\hfill
-\end{minipage}
-\framebox{
-\begin{minipage}{5.9cm}
-\includegraphics[width=5.9cm]{vasp_mig/comb_mig_4-2_vac_fullct.ps}\\[0.1cm]
-\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}
-}
+}}}
+\end{pspicture}
 
 \end{slide}
 
-\end{document}
-\ifnum1=0
-
 \begin{slide}
 
- {\large\bf\boldmath
-  Combinations of substitutional C and \hkl<1 1 0> Si self-interstitials
- }
-
- \scriptsize
+\headphd
+{\large\bf
+ Combinations of substitutional C and Si self-interstitials
+}
 
-\begin{minipage}{6.0cm}
-\includegraphics[width=5.8cm]{c_sub_si110.ps}
-\end{minipage}
-\begin{minipage}{7cm}
 \scriptsize
+
+\vspace{0.3cm}
+
+\begin{minipage}{6.2cm}
+\begin{center}
+{\bf\boldmath C$_{\text{sub}}$ - \si{} \hkl<1 1 0> interaction}
 \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 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}
-\begin{center}
- {\color{blue}
- IBS process far from equilibrium\\
- \cs{} \& \si{} instead of thermodynamic ground state
- }
 \end{center}
 \end{minipage}
-
-\begin{minipage}{6.5cm}
-\includegraphics[width=6.0cm]{162-097.ps}
+\begin{minipage}{0.2cm}
+\hfill
+\end{minipage}
+\begin{minipage}{6.0cm}
+\begin{center}
+{\bf Transition from the ground state}
 \begin{itemize}
- \item Low migration barrier
+ \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]
+
+\begin{minipage}{6.0cm}
+\includegraphics[width=6.0cm]{c_sub_si110.ps}
 \end{minipage}
-\begin{minipage}{6.5cm}
+\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}
-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}
-{\color{blue}
-Contribution of entropy to structural formation
+\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}
 
 \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}
+\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}
-{\color{blue}Results suggest increased participation of \cs}
+\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)
@@ -1971,7 +1988,7 @@ Concerning the precipitation mechanism
    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} 
@@ -1982,51 +1999,76 @@ Concerning the precipitation mechanism
   }}}}
   \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
@@ -2046,6 +2088,9 @@ Only short range order observable\\
 
 \end{slide}
 
+\end{document}
+\ifnum1=0
+
 \begin{slide}
 
  {\large\bf\boldmath