From: hackbard <hackbard@sage.physik.uni-augsburg.de>
Date: Fri, 23 Oct 2009 12:21:17 +0000 (+0200)
Subject: 00-1 - im mig + combinational energies (friday beer checkin)
X-Git-Url: https://hackdaworld.org/gitweb/?p=lectures%2Flatex.git;a=commitdiff_plain;h=01bae6a34997e79b48c9442566bf60cc5f40efb4

00-1 - im mig + combinational energies (friday beer checkin)
---

diff --git a/posic/talks/upb-ua-xc.tex b/posic/talks/upb-ua-xc.tex
index 78b1ef5..e7fe230 100644
--- a/posic/talks/upb-ua-xc.tex
+++ b/posic/talks/upb-ua-xc.tex
@@ -1959,6 +1959,29 @@ $z,x'$-axis rotation: $45.0^{\circ}$, $0.0^{\circ}$
    in the $3\times 3\times 3$ Type 2 supercell
  }
 
+ \begin{minipage}{6cm}
+ Method:
+ \begin{itemize}
+  \item Starting configuration:\\
+        C bond centered
+  \item CRT towards \hkl<0 0 -1> configuration
+  \item Spin polarized calculations
+ \end{itemize}
+ Results:\\
+ Video \href{../video/c_im_00-1_vasp.avi}{$\rhd_{\text{local}}$ } $|$
+ \href{http://www.physik.uni-augsburg.de/~zirkelfr/download/posic/c_im_00-1_vasp.avi}{$\rhd_{\text{remote url}}$}
+ \begin{itemize}
+  \item Still abrupt changes in configuration and energy 
+  \item Migration barrier $>$ 1 eV
+  \item I bet it's not reversible!
+  \item {\color{red}Final run in progress}
+ \end{itemize} 
+ \end{minipage}
+ \begin{minipage}{6cm}
+ \includegraphics[width=6cm]{c_im_001_mig_vasp.ps}
+ \includegraphics[width=6cm]{c_im_001_mig_rc_vasp.ps}
+ \end{minipage}
+
 \end{slide}
 
 \begin{slide}
@@ -2111,22 +2134,40 @@ $z,x'$-axis rotation: $45.0^{\circ}$, $0.0^{\circ}$
  }
  
  \begin{minipage}{3.2cm}
- \underline{C tetrahedral}\\
- Relaxes into \hkl<0 0 1> configuration\\[0.2cm]
- \underline{C hexagonal}\\
- Relaxes into \hkl<0 0 1> configuration\\[0.4cm]
+ \underline{C bond centered}
+ \begin{itemize}
+  \item $E_{\text{f}}=4.10\text{ eV}$
+ \end{itemize}
+ \includegraphics[width=3cm]{c_pd_vasp/bc_2333.eps}
  \underline{\hkl<1 1 0> interstitial}
  \begin{itemize}
   \item $E_{\text{f}}=3.60\text{ eV}$
  \end{itemize}
  \includegraphics[width=3cm]{c_pd_vasp/110_2333.eps}
  \end{minipage}
- \begin{minipage}{9cm}
+ \begin{minipage}{4.5cm}
  \begin{center}
  \includegraphics[height=8cm]{c_pd_vasp/110_2333_ksl.ps}
  {\scriptsize \hkl<1 1 0> interstitial}
  \end{center}
  \end{minipage}
+ \begin{minipage}{4.5cm}
+ \begin{center}
+ \includegraphics[height=8cm]{c_pd_vasp/bc_2333_ksl.ps}
+ {\scriptsize C bond centered}
+ \end{center}
+ \end{minipage}
+ 
+\end{slide}
+
+\begin{slide}
+
+ {\large\bf\boldmath
+  Carbon point defects in silicon
+ }
+
+ The hexagonal and tetrahedral C configurations both relax into the
+ \hkl<0 0 1> interstitial configuration!
  
 \end{slide}
 
@@ -2232,25 +2273,37 @@ $z,x'$-axis rotation: $45.0^{\circ}$, $0.0^{\circ}$
   Combination of defects
  }
 
+ \small
+
+ Initial C \hkl<0 0 -1> insterstital at: $\frac{1}{4}\hkl<1 1 1>$
+
  \begin{tabular}{|l|l|l|l|l|l|}
  \hline
  & 2 & 3 & 4 & 5 & 6 \\
  \hline
-\hkl<0 0 -1> & 6.23 & 5.16 & 6.23 & 6.35 & 4.65\\
+C \hkl<0 0 -1> & 6.23/-0.08 & 5.16/-1.15 & 6.23/-0.08 & 6.35 & 4.65\\
  \hline
-\hkl<0 0 1> & 6.64 & 6.31 & 4.26 & 6.57 & 4.78 \\
+C \hkl<0 0 1> & 6.64/0.34 & 6.31/0.01 & 4.26 & 6.57 & 4.78 \\
  \hline
-\hkl<1 0 0> & 4.06 & 6.13 & 6.21 & 6.03 & 4.93 \\
+C \hkl<1 0 0> & 4.06/-2.25 & 6.13/-0.17 & 6.21 & 6.03 & 4.93 \\
  \hline
-\hkl<-1 0 0> & \hkl<0 -1 0> & 4.41 & 4.06 & 6.19 & 4.43 \\
+C \hkl<-1 0 0> & \hkl<0 -1 0> & 4.41/-1.90 & 4.06 & 6.19 & 4.43 \\
  \hline
-\hkl<0 1 0> & \hkl<1 0 0> & 5.95 & \hkl<-1 0 0> & \hkl<-1 0 0> & \hkl<1 0 0> \\
+C \hkl<0 1 0> & \hkl<1 0 0> & 5.95/-0.36 & \hkl<-1 0 0> & \hkl<-1 0 0> & \hkl<1 0 0> \\
  \hline
-\hkl<0 -1 0> & 3.92 & 4.15 & \hkl<1 0 0> & \hkl<1 0 0> & \hkl <-1 0 0> \\
+C \hkl<0 -1 0> & 3.92/-2.39 & 4.15/-2.16 & \hkl<1 0 0> & \hkl<1 0 0> & \hkl <-1 0 0> \\
  \hline
-Vacancy & 1.39 & 6.19 & 3.65 & 6.24 & 6.50 \\
+Vacancy & 1.39/-5.39 ($\rightarrow\text{ C}_{\text{S}}$) & 6.19/-0.59 & 3.65 & 6.24 & 6.50 \\
  \hline
- \end{tabular}
+ \end{tabular}\\[0.2cm]
+ Energies: $x/y$\\
+ $x$: Defect formation energy of the complex\\
+ $y$:
+  $E_{\text{f}}^{\text{defect combination}}-
+   E_{\text{f}}^{\text{isolated C \hkl<0 0 -1>}}-
+   E_{\text{f}}^{\text{isolated 2nd defect}}
+  $\\
+  That is: If $y<0$ $\rightarrow$ favored compared to far-off isolated defects
 
 \end{slide}
 
@@ -2262,7 +2315,7 @@ Vacancy & 1.39 & 6.19 & 3.65 & 6.24 & 6.50 \\
 
  \small
 
- Supercell size: $2$ - $2000 \cdot 10^{-21}\text{ cm}^3$
+ Supercell size: $2$ -- $2000 \cdot 10^{-21}\text{ cm}^3$
 
  \underline{After crystal growth}
  \begin{itemize}