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\begin{center}
\large{PSEUDOPOTENTIAL TEST FOR Pt} \\
\normalsize

\begin{itemize}
   \item Flavour: {\bf Troullier-Martins; tm2}
   \item Exchange-correlation: {\bf Ceperley-Alder, relativistic; car}
   \item Number of core orbitals: {\bf 12}
   \item Number of valence orbitals: {\bf 4}
   \item Reference configuration: {\bf $6s^{1},5d^{9},6p^{0},5f^{0}$}
   \item Cutoff radius:
      \begin{itemize}
         \item $r_{s} = 2.35 $ bohr
         \item $r_{p} = 2.50 $ bohr
         \item $r_{d} = 1.24 $ bohr
         \item $r_{f} = 2.35 $ bohr
      \end{itemize}
   \item {\bf Core corrections}: $r_{nlcc} = 1.7 $
\end{itemize}

\vspace{0.5cm}




\begin{tabular}{|c|c|c|c|c|} \hline
        & \multicolumn{2}{|c|}{Eigenvalues (Ry)}  &  \multicolumn{2}{|c|}{Total energies (Ry)}               \\  \cline{2-5}
Configuration  & \footnotesize All electron & \footnotesize Pseudopotential & \footnotesize All electron & \footnotesize Pseudopotential\\ \hline\hline
      \begin{tabular}{l}
         $6s^{1},6p^{0},5d^{9},5f^{0}$ \\
         (Reference)   
      \end{tabular}
&     \begin{tabular}{l} 
       $6s$   -0.4368\\ 
       $6p$ $\left\{ \begin{array}{c} 
                  -0.1013 \\
                  -0.0615 \\
                  \end{array} \right.$ \\
       $5d$ $\left\{ \begin{array}{c} 
                  -0.5319 \\
                  -0.4339 \\
                  \end{array} \right.$ \\
      \end{tabular}          
&     \begin{tabular}{l} 
       $6s$   -0.4368\\ 
       $6p$ $\left\{ \begin{array}{c} 
                  -0.1013 \\
                  -0.0614 \\
                  \end{array} \right.$ \\
       $5d$ $\left\{ \begin{array}{c} 
                  -0.5319 \\
                  -0.4339 \\
                  \end{array} \right.$ \\
      \end{tabular}          
&     \begin{tabular}{l} 
         -36798.3834  
      \end{tabular}          
&     \begin{tabular}{l} 
          -56.8121
      \end{tabular}\\
\cline{1-5}

      \begin{tabular}{l}
         $6s^{2},6p^{0},5d^{8},5f^{0}$ \\
         (Pt neutral)   
      \end{tabular}
&     \begin{tabular}{l} 
       $6s$   -0.4964\\ 
       $6p$ $\left\{ \begin{array}{c} 
                  -0.1327 \\
                  -0.0841 \\
                  \end{array} \right.$ \\
       $5d$ $\left\{ \begin{array}{c} 
                  -0.6740 \\
                  -0.5695 \\
                  \end{array} \right.$ \\
      \end{tabular}          
&     \begin{tabular}{l} 
       $6s$   -0.4944\\ 
       $6p$ $\left\{ \begin{array}{c} 
                  -0.1312 \\
                  -0.0829 \\
                  \end{array} \right.$ \\
       $5d$ $\left\{ \begin{array}{c} 
                  -0.6786 \\
                  -0.5736 \\
                  \end{array} \right.$ \\
      \end{tabular}          
&     \begin{tabular}{l} 
         -36798.3087 \\
         $\Delta$ = 0.0747 Ry
      \end{tabular}          
&     \begin{tabular}{l} 
          -56.7345 \\
         $\Delta$ = 0.0776 Ry
      \end{tabular}\\
\cline{1-5}

      \begin{tabular}{l}
         $6s^{0},6p^{0},5d^{10},5f^{0}$ \\
         (Pt neutral)   
      \end{tabular}
&     \begin{tabular}{l} 
       $6s$   -0.3818\\ 
       $6p$ $\left\{ \begin{array}{c} 
                  -0.0724 \\
                  -0.0403 \\
                  \end{array} \right.$ \\
       $5d$ $\left\{ \begin{array}{c} 
                  -0.4067 \\
                  -0.3148 \\
                  \end{array} \right.$ \\
      \end{tabular}          
&     \begin{tabular}{l} 
       $6s$   -0.3845\\ 
       $6p$ $\left\{ \begin{array}{c} 
                  -0.0742 \\
                  -0.0417 \\
                  \end{array} \right.$ \\
       $5d$ $\left\{ \begin{array}{c} 
                  -0.4053 \\
                  -0.3140 \\
                  \end{array} \right.$ \\
      \end{tabular}          
&     \begin{tabular}{l} 
         -36798.3854 \\
         $\Delta$ = -0.0020 Ry
      \end{tabular}          
&     \begin{tabular}{l} 
          -56.8121 \\
         $\Delta$ =  0.0000 Ry 
      \end{tabular}\\
\cline{1-5}

      \begin{tabular}{l}
         $6s^{0},6p^{0},5d^{9},5f^{0}$ \\
         (Pt$^{+1}$ )   
      \end{tabular}
&     \begin{tabular}{l} 
       $6s$   -0.9707\\ 
       $6p$ $\left\{ \begin{array}{c} 
                  -0.5573 \\
                  -0.4824 \\
                  \end{array} \right.$ \\
       $5d$ $\left\{ \begin{array}{c} 
                  -1.1358 \\
                  -1.0346 \\
                  \end{array} \right.$ \\
      \end{tabular}          
&     \begin{tabular}{l} 
       $6s$   -0.9724\\ 
       $6p$ $\left\{ \begin{array}{c} 
                  -0.5588 \\
                  -0.4840 \\
                  \end{array} \right.$ \\
       $5d$ $\left\{ \begin{array}{c} 
                  -1.1345 \\
                  -1.0338 \\
                  \end{array} \right.$ \\
      \end{tabular}          
&     \begin{tabular}{l} 
         -36797.6846 \\
         $\Delta$ =  0.6988 Ry
      \end{tabular}          
&     \begin{tabular}{l} 
          -56.1125 \\
         $\Delta$ =  0.6996 Ry 
      \end{tabular}\\
\cline{1-5}

      \begin{tabular}{l}
         $6s^{1},6p^{0},5d^{8},5f^{0}$ \\
         (Pt$^{+1}$ )   
      \end{tabular}
&     \begin{tabular}{l} 
       $6s$   -1.0495\\ 
       $6p$ $\left\{ \begin{array}{c} 
                  -0.6138 \\
                  -0.5308 \\
                  \end{array} \right.$ \\
       $5d$ $\left\{ \begin{array}{c} 
                  -1.2991 \\
                  -1.1917 \\
                  \end{array} \right.$ \\
      \end{tabular}          
&     \begin{tabular}{l} 
       $6s$   -1.0485\\ 
       $6p$ $\left\{ \begin{array}{c} 
                  -0.6126 \\
                  -0.5305 \\
                  \end{array} \right.$ \\
       $5d$ $\left\{ \begin{array}{c} 
                  -1.3026 \\
                  -1.1949 \\
                  \end{array} \right.$ \\
      \end{tabular}          
&     \begin{tabular}{l} 
         -36797.5407 \\
         $\Delta$ =  0.8427 Ry
      \end{tabular}          
&     \begin{tabular}{l} 
          -55.9681 \\
         $\Delta$ =  0.8440 Ry 
      \end{tabular}\\
\cline{1-5}
\end{tabular}
\normalsize
\end{center}

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