\end{slide}
+\begin{slide}
+
+ {\large\bf\boldmath
+ C \hkl<1 0 0> interstitial migration (VASP)
+ }
+
+ \small
+
+ \begin{minipage}{6.2cm}
+ \begin{itemize}
+ \item $3\times 3\times 3$ Type 2 supercell
+ \item \hkl<1 1 0> constraints applied
+ (\href{http://www.physik.uni-augsburg.de/~zirkelfr/download/posic/sd_rot.patch}{Patch})
+ \item Move from \hkl<1 0 0> towards\\
+ bond centered configuration
+ \end{itemize}
+ \underline{Sd Rot usage (POSCAR):}
+\begin{verbatim}
+cubic diamond
+5.480
+ 3.0 0.0 0.0
+ 0.0 3.0 0.0
+ 0.0 0.0 3.0
+216 1
+Transformed selective dynamics
+45.0 0.0
+Direct
+ ...
+\end{verbatim}
+Only works in direct mode!\\
+$z,x'$-axis rotation: $45.0^{\circ}$, $0.0^{\circ}$
+ \end{minipage}
+ \begin{minipage}{6.2cm}
+ \includegraphics[width=5cm]{c_100_110sp-i_2333_vasp.ps}
+ \includegraphics[width=5cm]{c_100_110sp-i_2333_rc_vasp.ps}\\
+ {\color{red}One fixed Si atom not enough!}\\
+ Video: \href{../video/c_in_si_233_110mig_vasp.avi}{$\rhd_{\text{local}}$ } $|$
+ \href{http://www.physik.uni-augsburg.de/~zirkelfr/download/posic/c_in_si_233_110mig_vasp.avi}{$\rhd_{\text{remote url}}$}\\
+ \end{minipage}
+
+ {\color{blue}
+ Next: Migration calculation in 2333 using CRT
+ (\hkl<0 0 -1> $\rightarrow$ \hkl<0 0 1> and \hkl<0 -1 0>)
+ }
+
+\end{slide}
+
\begin{slide}
{\large\bf\boldmath
\end{slide}
-\begin{slide}
-
- {\large\bf\boldmath
- C \hkl<1 0 0> interstitial migration (VASP)
- }
-
- \small
-
- \begin{minipage}{6.2cm}
- \begin{itemize}
- \item $3\times 3\times 3$ Type 2 supercell
- \item \hkl<1 1 0> constraints applied
- (\href{http://www.physik.uni-augsburg.de/~zirkelfr/download/posic/sd_rot.patch}{Patch})
- \item Move from \hkl<1 0 0> towards\\
- bond centered configuration
- \end{itemize}
- \underline{Sd Rot usage (POSCAR):}
-\begin{verbatim}
-cubic diamond
-5.480
- 3.0 0.0 0.0
- 0.0 3.0 0.0
- 0.0 0.0 3.0
-216 1
-Transformed selective dynamics
-45.0 0.0
-Direct
- ...
-\end{verbatim}
-Only works in direct mode!\\
-$z,x'$-axis rotation: $45.0^{\circ}$, $0.0^{\circ}$
- \end{minipage}
- \begin{minipage}{6.2cm}
- \includegraphics[width=5cm]{c_100_110sp-i_2333_vasp.ps}
- \includegraphics[width=5cm]{c_100_110sp-i_2333_rc_vasp.ps}\\
- {\color{red}One fixed Si atom not enough!}\\
- Video: \href{../video/c_in_si_233_110mig_vasp.avi}{$\rhd_{\text{local}}$ } $|$
- \href{http://www.physik.uni-augsburg.de/~zirkelfr/download/posic/c_in_si_233_110mig_vasp.avi}{$\rhd_{\text{remote url}}$}\\
- \end{minipage}
-
- {\color{blue}
- Next: Migration calculation in 2333 using CRT
- (\hkl<0 0 -1> $\rightarrow$ \hkl<0 0 1> and \hkl<0 -1 0>)
- }
-
-\end{slide}
-
-\begin{slide}
-
- {\large\bf\boldmath
- \hkl<0 0 -1> to \hkl <0 0 1> migration
- in the $3\times 3\times 3$ Type 2 supercell
- }
-
-\end{slide}
-
-\begin{slide}
-
- {\large\bf\boldmath
- \hkl<0 0 -1> to \hkl <0 -1 0> migration
- in the $3\times 3\times 3$ Type 2 supercell
- }
-
-\end{slide}
-
\begin{slide}
{\large\bf\boldmath
\vspace*{0.3cm}
{\color{blue}Tracer:}\\
- Whenever there is smearing of electrons over two or more energy levels\\
+ Smearing of electrons over two or more (degenerated) energy levels\\
$\Rightarrow$ use spin polarized calculations!
\end{slide}
\end{minipage}
}
+ \vspace*{0.4cm}
+
+ \begin{itemize}
+ \item linear Si-C-Si bond
+ \item Each Si has another 3 Si neighbours
+ \end{itemize}
+
+ \begin{center}
+ {\color{blue}Spin polarized calculations necessary!}
+ \end{center}
+
\end{slide}
\begin{slide}
\underline{MO diagram}\\
\begin{minipage}[t]{1.2cm}
{\color{red}Si}\\
- {\tiny sp$^3$}\\[0.8cm]
- \underline{${\color{red}\uparrow}$}
- \underline{${\color{red}\uparrow}$}
- \underline{${\color{red}\uparrow}$}
- \underline{${\color{red}\uparrow}$}\\
- sp$^3$
+ {\tiny sp$^2$}\\[0.1cm]
+ \underline{${\color{white}\uparrow}$}\\
+ p\\[0.4cm]
+ \underline{${\color{red}\uparrow\downarrow}$}
+ \underline{${\color{red}\uparrow}{\color{white}\downarrow}$}
+ \underline{${\color{red}\uparrow}{\color{white}\downarrow}$}\\
+ sp$^2$
\end{minipage}
- \begin{minipage}[t]{1.4cm}
- \begin{center}
- {\color{red}M}{\color{blue}O}\\[1.0cm]
- \underline{${\color{blue}\uparrow}{\color{white}\downarrow}$}\\
+ \begin{minipage}[t]{1.2cm}
+ \begin{flushright}
+ {\color{red}M}\\[1.0cm]
+ \underline{${\color{white}\uparrow}{\color{white}\downarrow}$}\\
$\sigma_{\text{ab}}$\\[0.5cm]
\underline{${\color{red}\uparrow}{\color{blue}\downarrow}$}\\
$\sigma_{\text{b}}$
- \end{center}
+ \end{flushright}
\end{minipage}
- \begin{minipage}[t]{1.0cm}
+ \begin{minipage}[t]{1.2cm}
+ \begin{flushleft}
+ {\color{blue}O}\\[0.4cm]
+ \underline{${\color{white}\uparrow}{\color{white}\downarrow}$}\\
+ $\pi_{\text{ab}}$\\[0.5cm]
+ \underline{${\color{red}\uparrow}{\color{blue}\downarrow}$}\\
+ $\pi_{\text{b}}$
+ \end{flushleft}
+ \end{minipage}
+ \begin{minipage}[t]{2.0cm}
\begin{center}
{\color{blue}C}\\
- {\tiny sp}\\[0.2cm]
- \underline{${\color{white}\uparrow\uparrow}$}
+ {\tiny sp$^2$}\\[0.5cm]
\underline{${\color{white}\uparrow\uparrow}$}\\
- 2p\\[0.4cm]
+ p\\[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}\\[1.0cm]
+ \underline{${\color{blue}\uparrow}{\color{white}\downarrow}$}
\underline{${\color{blue}\uparrow}{\color{white}\downarrow}$}\\
- $\sigma_{\text{ab}}$\\[0.5cm]
- \underline{${\color{green}\uparrow}{\color{blue}\downarrow}$}\\
- $\sigma_{\text{b}}$
+ sp$^2$
\end{center}
\end{minipage}
- \begin{minipage}[t]{1.2cm}
- \begin{flushright}
- {\color{green}Si}\\
- {\tiny sp$^3$}\\[0.8cm]
- \underline{${\color{green}\uparrow}$}
- \underline{${\color{green}\uparrow}$}
- \underline{${\color{green}\uparrow}$}
- \underline{${\color{green}\uparrow}$}\\
- sp$^3$
- \end{flushright}
- \end{minipage}
\end{minipage}
}
+ \vspace*{0.4cm}
+
+ \begin{itemize}
+ \item Si-C double bond
+ \item Si and C atom have another 2 Si neighbours
+ \end{itemize}
+
+ \begin{center}
+ {\color{blue}Spin polarized calculations {\color{red}not} necessary!}
+ \end{center}
+
+\end{slide}
+
+\begin{slide}
+
+ {\large\bf\boldmath
+ New default parameter set\\[1cm]
+ }
+
+ Since some defect configurations need spin polarized calculations ...\\[1cm]
+
+ from now on the default parameter set\\
+ {\bf\color{blue}
+ $+$ no symmetry\\
+ $+$ spin polarized\\
+ }
+ \ldots is used!\\[1cm]
+
+\end{slide}
+
+\begin{slide}
+
+ {\large\bf\boldmath
+ \hkl<0 0 -1> to \hkl<0 0 1> migration
+ in the $3\times 3\times 3$ Type 2 supercell
+ }
+
+\end{slide}
+
+\begin{slide}
+
+ {\large\bf\boldmath
+ \hkl<0 0 -1> to \hkl<0 -1 0> migration
+ in the $3\times 3\times 3$ Type 2 supercell
+ }
+
\end{slide}
\begin{slide}
\underline{Along \hkl<1 1 0>:}
- \begin{tabular}{|l|l|l|l|l|}
+ \begin{tabular}{|l|p{1.8cm}|p{1.8cm}|p{1.8cm}|p{1.8cm}|}
\hline
{\scriptsize
\backslashbox{2nd interstitial}{Distance $[\frac{a}{4}]$}
}
& \hkl<1 1 -1> & \hkl<2 2 0> & \hkl<3 3 -1> & \hkl<4 4 0>\\
\hline
- \hkl<0 0 -1> & 6.23514 & 4.65014 & 5.97314 & in progress\\
+ \hkl<0 0 -1> & in progress\newline {\color{blue}6.23514}
+ & in progress\newline {\color{blue}4.65014}
+ & {\color{blue}5.97314} & {\color{blue}6.45714} \\
\hline
- \hkl<0 0 1> & TODO & TODO & 6.53614 & TODO \\
+ \hkl<0 0 1> & in progress & in progress
+ & {\color{blue}6.53614} & in progress \\
\hline
- \hkl<1 0 0>, \hkl<0 1 0> & TODO & TODO & TODO & TODO\\
+ \hkl<1 0 0>, \hkl<0 1 0> & alkmene & TODO & TODO & TODO\\
\hline
\hkl<-1 0 0>, \hkl<0 -1 0> & TODO & TODO & TODO & TODO\\
\hline
\end{tabular}
+
+ Spin polarized and {\color{blue}non spin polarized} results
\end{slide}