diff --git a/Data/.DS_Store b/Data/.DS_Store index 5008ddf..ce6b037 100644 Binary files a/Data/.DS_Store and b/Data/.DS_Store differ diff --git a/Manuscript/G2-srDFT.pdf b/Manuscript/G2-srDFT.pdf index 2166254..23a534b 100644 Binary files a/Manuscript/G2-srDFT.pdf and b/Manuscript/G2-srDFT.pdf differ diff --git a/Manuscript/G2-srDFT.tex b/Manuscript/G2-srDFT.tex index 45fe5d9..22a6818 100644 --- a/Manuscript/G2-srDFT.tex +++ b/Manuscript/G2-srDFT.tex @@ -39,6 +39,7 @@ \newcommand{\ex}[4]{$^{#1}#2_{#3}^{#4}$} \newcommand{\ra}{\rightarrow} +\newcommand{\De}{D_\text{e}} % units \newcommand{\IneV}[1]{#1 eV} @@ -97,46 +98,7 @@ The \section{Results} %%%%%%%%%%%%%%%%%%%%%%%% -\subsection{The case of C$_2$ and the comparison with the F$_{12}$ methods.} -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{table*} -\caption{Dissociation energy ($D_e$) in kcal/mol of the C$_2$ molecule computed using FCIQMC, CIPSI, FCIQMC+F$_{12}$, CIPSI+LDA$_{\rm HF}$ and CIPSI+LDA$_{\text{HF-val}}$ (valence only interaction and density) in the Dunnng cc-pVXZ (VXZ) basis sets. $^a$ Results from Ref\cite{BytLaiRuedenJCP05} } -\begin{ruledtabular} -\begin{tabular}{lccccccc} -%\hline - & FCIQMC & CIPSI & FCIQMC+F$_{12}$ & CIPSI+LDA$_{\text{HF}}$ & CIPSI+LDA${_\text{HF-val}}$ & CIPSI+PBE$_{\text{HF}}$ & CIPSI+PBE${_\text{HF-val}}$ \\ -\hline -V2Z & 130.0 & 132.0 & 142.3 & 141.9 & 142.9 & 142.7 & 143.3 \\ -V3Z & 139.9 & 140.3 & 145.3 & 142.8 & 145.5 & 142.7 & 144.7 \\ -V4Z & - & 143.6 & - & 145.8 & 146.2 & 145.3 & 145.7 \\ -V5Z & - & 144.3 & - & 145.1 & 146.1 & 144.9 & 145.6 \\ -%\hline - & \multicolumn{5}{c}{Estimated exact $^a$} \\ - & \multicolumn{5}{c}{ 146.9} \\ -\end{tabular} -\end{ruledtabular} -\label{conv_He_table} -\end{table*} - -\begin{table*} -\caption{Dissociation energy ($D_e$) in kcal/mol of the N$_2$ molecule computed using FCIQMC, CIPSI, FCIQMC+F$_{12}$, CIPSI+LDA$_{\rm HF}$ and CIPSI+LDA$_{\text{HF-val}}$ (valence only interaction and density) in the Dunnng cc-pVXZ (VXZ) basis sets. $^a$ Results from Ref\cite{PetTouUmr-JCP-12} taking into account the ZPE correction. } -\begin{ruledtabular} -\begin{tabular}{lccccc} -%\hline - & CIPSI & CIPSI+LDA$_{\text{HF}}$ & CIPSI+LDA${_\text{HF-val}}$ & CIPSI+PBE$_{\text{HF}}$ & CIPSI+PBE${_\text{HF-val}}$ \\ -\hline -V2Z & 200.9 & 216.3 & 218.2 & 222.3 & 224.8 \\ -V3Z & 217.1 & 223.1 & 225.8 & 224.6 & 226.7 \\ -V4Z & 223.5 & 227.9 & 228.8 & 227.7 & 228.3 \\ -V5Z & 225.7 & 227.9 & 228.4 & 227.7 & 228.3 \\ -%\hline - & \multicolumn{5}{c}{Estimated exact} \\ - & \multicolumn{5}{c}{228.5$^a$ } \\ -\end{tabular} -\end{ruledtabular} -\label{conv_He_table} -\end{table*} - +\subsection{The case of C$_2$ and the comparison with the F12 methods.} \begin{table*} \caption{Dissociation energy ($D_e$) in kcal/mol of the F$_2$ molecule computed using FCIQMC, CIPSI, FCIQMC+F$_{12}$, CIPSI+LDA$_{\rm HF}$ and CIPSI+LDA$_{\text{HF-val}}$ (valence only interaction and density) in the Dunnng cc-pVXZ (VXZ) basis sets. $^a$ Results from Ref\cite{PetTouUmr-JCP-12} taking into account the ZPE correction. } @@ -156,27 +118,50 @@ V5Z & 38.0 & 38.7 & 38.8 \end{ruledtabular} \label{conv_He_table} \end{table*} - - \begin{table*} -\caption{Dissociation energy ($D_e$) in kcal/mol of the O$_2$ molecule computed using FCIQMC, CIPSI, FCIQMC+F$_{12}$, CIPSI+LDA$_{\rm HF}$ and CIPSI+LDA$_{\text{HF-val}}$ (valence only interaction and density) in the Dunnng cc-pVXZ (VXZ) basis sets. $^a$ Results from Ref\cite{PetTouUmr-JCP-12} taking into account the ZPE correction. } -\begin{ruledtabular} -\begin{tabular}{lccccc} -%\hline - & CIPSI & CIPSI+LDA$_{\text{HF}}$ & CIPSI+LDA${_\text{HF-val}}$ & CIPSI+PBE$_{\text{HF}}$ & CIPSI+PBE${_\text{HF-val}}$ \\ -\hline -V2Z & 105.3 & 111.8 & 112.5 & 115.0 & 116.1 \\ -V3Z & 114.6 & 117.2 & 118.5 & 118.4 & 119.4 \\ -V4Z & 118.0 & 120.0 & 120.2 & 120.2 & 120.5 \\ -V5Z & & & & & \\ -%\hline - & \multicolumn{5}{c}{Estimated exact} \\ - & \multicolumn{5}{c}{120.2 $^a$} \\ -\end{tabular} -\end{ruledtabular} -\label{conv_He_table} -\end{table*} + \caption{ + \label{tab:diatomics} + Dissociation energy ($\De$) in kcal/mol of the \ce{C2}, \ce{O2}, \ce{N2} and \ce{F2} molecules computed with various methods and basis sets. + } + \begin{ruledtabular} + \begin{tabular}{llddddd} + & & \mc{4}{c}{Dunning's basis set} + \\ + \cline{3-6} + Molecule & Method & \tabc{cc-pVDZ} & \tabc{cc-pVTZ} & \tabc{cc-pVQZ} & \tabc{cc-pV5Z} & \tabc{Exp.} + \\ + \hline + \ce{C2} & FCIQMC & 130.0(1) & 139.9(3) & 143.3(2) & & 146.9(5)\fnm[1] \\ + & FCIQMC+F12 & 142.3 & 145.3 & & & \\ + & exFCI & 132.0 & 140.3 & 143.6 & 144.3 & \\ + & exFCI+LDA & 141.9 & 142.8 & 145.8 & 146.2 & \\ + & exFCI+LDA(FC) & 142.9 & 145.5 & 146.2 & 146.1 & \\ + & exFCI+PBE & 142.7 & 142.7 & 145.3 & 144.9 & \\ + & exFCI+PBE(FC) & 143.3 & 144.7 & 145.7 & 145.6 & \\ + \\ + \ce{O2} & exFCI & 105.3 & 114.6 & 118.0 & & 120.2\fnm[2] \\ + & exFCI+LDA & 111.8 & 117.2 & 120.0 & & \\ + & exFCI+LDA(FC) & 112.5 & 118.5 & 120.2 & & \\ + & exFCI+PBE & 115.0 & 118.4 & 120.2 & & \\ + & exFCI+PBE(FC) & 116.1 & 119.4 & 120.5 & & \\ + \\ + \ce{N2} & exFCI & 200.9 & 217.1 & 223.5 & 225.7 & 228.5\fnm[2] \\ + & exFCI+LDA & 216.3 & 223.1 & 227.9 & 227.9 & \\ + & exFCI+LDA(FC) & 218.2 & 225.8 & 228.8 & 228.4 & \\ + & exFCI+PBE & 222.3 & 224.6 & 227.7 & 227.7 & \\ + & exFCI+PBE(FC) & 224.8 & 226.7 & 228.3 & 228.3 & \\ + \\ + \ce{F2} & exFCI & 27.5 & 35.4 & 37.5 & 38.0 & 38.2\fnm[2] \\ + & exFCI+LDA & 30.8 & 37.0 & 38.7 & 38.7 & \\ + & exFCI+LDA(FC) & 31.1 & 37.5 & 38.8 & 38.8 & \\ + & exFCI+PBE & 32.1 & 37.5 & 38.7 & 38.7 & \\ + & exFCI+PBE(FC) & 32.4 & 37.8 & 38.8 & 38.8 & \\ + \end{tabular} + \end{ruledtabular} + \fnt[1]{Results from Ref.~\onlinecite{BytLaiRuedenJCP05}.} + \fnt[2]{Results from Ref.~\onlinecite{PetTouUmr-JCP-12}.} +\end{table*} diff --git a/srDFT_G2.nb b/srDFT_G2.nb index 537e8b7..ae6f93f 100644 --- a/srDFT_G2.nb +++ 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