srDFT_G2/Manuscript/SI/G2_srDFT-SI.tex

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\newcommand{\kcal}{kcal/mol}
\newcommand{\QP}{\textsc{quantum package}}
\newcommand{\LCPQ}{Laboratoire de Chimie et Physique Quantiques (UMR 5626), Universit\'e de Toulouse, CNRS, UPS, France}
\newcommand{\LCT}{Laboratoire de Chimie Th\'eorique, Universit\'e Pierre et Marie Curie, Sorbonne Universit\'e, CNRS, Paris, France}
\begin{document}
\title{Supplementary Information for ``A Density-Based Basis Set Correction For Wave Function Theory''}
\author{Bath\'elemy Pradines}
\affiliation{\LCPQ}
\author{Anthony Scemama}
\affiliation{\LCPQ}
\author{Julien Toulouse}
\affiliation{\LCT}
\author{Pierre-Fran\c{c}ois Loos}
\email[Corresponding author: ]{loos@irsamc.ups-tlse.fr}
\affiliation{\LCPQ}
\author{Emmanuel Giner}
\affiliation{\LCT}
\begin{abstract}
\end{abstract}
\maketitle
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\section{Computational details}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%All the geometries have been extracted from Ref.~\onlinecite{HauJanScu-JCP-2009} and have performed at the B3LYP/6-31G(2df,p) level of theory.
%The CCSD(T) calculations have been performed with Gaussian09 with standard threshold values. \cite{g09}
%Frozen core calculations are defined as such: a \ce{He} core is frozen from \ce{B} to \ce{Mg}, while a \ce{Ne} core is frozen from \ce{Al} to \ce{Xe}.
%RS-DFT calculations are performed with {\QP}. \cite{QP2}
%For the quadrature grid, we employ ... radial and angular points.
%The reference values for the atomization energies are extracted from Ref.~\onlinecite{HauKlo-JCP-12} and corresponds to frozen-core non-relativistic atomization energies obtained at the CCSD(T)(F12)/cc-pVQZ-F12 level of theory corrected for higher-excitation contributions ($E_\text{CCSDT(Q)/cc-pV(D+d)Z} - E_\text{CCSD(T)/cc-pV(D+d)Z})$).
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Computational details}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{turnpage}
\begin{squeezetable}
\begin{table}
\caption{
\label{tab:AE}
Deviation from the reference CBS atomization energies ($\Delta \text{AE}$) in {\kcal} for various methods.}
\begin{ruledtabular}
\begin{tabular}{lddddddddddd}
&
& \mc{10}{c}{Deviation from CBS atomization energies} \\
\cline{3-12}
& & \mc{4}{c}{CCSD(T)} & \mc{3}{c}{CCSD(T)+LDA} & \mc{3}{c}{CCSD(T)+PBE} \\
\cline{3-6} \cline{7-9} \cline{10-12}
Molecule & \tabc{CCSD(T)/CBS}
& \tabc{cc-pVDZ} & \tabc{cc-pVTZ} & \tabc{cc-pVQZ} & \tabc{cc-pV5Z}
& \tabc{cc-pVDZ} & \tabc{cc-pVTZ} & \tabc{cc-pVQZ}
& \tabc{cc-pVDZ} & \tabc{cc-pVTZ} & \tabc{cc-pVQZ}
\\
\hline
\ce{BeH} & 50.12 & -4.87 & -1.52 & -0.40 & -0.19 & -2.24 & -0.54 & 0.\times 10^{-2} & -2.24 & -0.54 & 0.00 \\
\ce{C2H2} & 403.00 & -33.08 & -9.89 & -3.64 & -1.76 & -15.21 & -2.27 & 0.16 & -15.21 & -2.27 & 0.16 \\
\ce{C2H4} & 561.69 & -36.58 & -10.70 & -3.87 & -1.84 & -14.30 & -1.82 & 0.30 & -14.30 & -1.82 & 0.30 \\
\ce{C2H6} & 710.81 & -41.69 & -11.64 & -4.19 & -2.03 & -14.35 & -1.19 & 0.54 & -14.35 & -1.19 & 0.54 \\
\ce{CH} & 83.89 & -8.39 & -2.42 & -0.86 & -0.39 & -3.24 & -0.48 & 0.05 & -3.24 & -0.48 & 0.05 \\
\ce{CH2 $^1A_1$} & 180.61 & -15.23 & -4.29 & -1.51 & -0.68 & -5.80 & -0.72 & 0.12 & -5.80 & -0.72 & 0.12 \\
\ce{CH2 $^3B_1$} & 189.94 & -12.60 & -3.25 & -1.11 & -0.51 & -5.65 & -0.86 & -0.12 & -5.65 & -0.86 & -0.12 \\
\ce{CH3} & 306.81 & -19.55 & -5.08 & -1.77 & -0.83 & -7.54 & -0.69 & 0.12 & -7.54 & -0.69 & 0.12 \\
\ce{CH3Cl} & 395.02 & -29.15 & -9.70 & -3.83 & -1.72 & -12.76 & -2.96 & -0.64 & -12.76 & -2.96 & -0.64 \\
\ce{CH4} & 419.19 & -23.97 & -6.19 & -2.14 & -1.03 & -8.17 & -0.37 & 0.38 & -8.17 & -0.37 & 0.38 \\
\ce{CN} & 179.32 & -21.44 & -8.55 & -3.30 & -1.63 & -8.63 & -2.11 & 0.09 & -8.63 & -2.11 & 0.09 \\
\ce{CO} & 258.64 & -17.46 & -7.01 & -2.62 & -1.33 & -7.38 & -1.69 & 0.42 & -7.38 & -1.69 & 0.42 \\
\ce{CO2} & 388.29 & -32.10 & -12.54 & -4.75 & -2.39 & -14.50 & -3.28 & 0.52 & -14.50 & -3.28 & 0.52 \\
\ce{CS} & 170.82 & -17.82 & -8.45 & -3.71 & -1.47 & -9.04 & -3.78 & -1.0 & -9.04 & -3.78 & -1.0 \\
\ce{Cl2} & 59.33 & -17.79 & -7.18 & -3.39 & -1.28 & -13.16 & -4.41 & -1.80 & -13.16 & -4.41 & -1.80 \\
\ce{ClF} & 62.43 & -20.00 & -7.36 & -3.18 & -1.19 & -15.52 & -4.76 & -1.66 & -15.52 & -4.76 & -1.66 \\
\ce{ClO} & 64.35 & -23.33 & -8.68 & -4.09 & -1.62 & -17.46 & -5.40 & -2.19 & -17.46 & -5.40 & -2.19 \\
\ce{F2} & 38.24 & -12.53 & -3.70 & -1.76 & -0.88 & -9.09 & -1.72 & -0.52 & -9.09 & -1.72 & -0.52 \\
\ce{H2CO} & 373.18 & -28.21 & -9.53 & -3.55 & -1.70 & -11.74 & -2.16 & 0.26 & -11.74 & -2.16 & 0.26 \\
\ce{H2O} & 232.78 & -23.97 & -7.67 & -2.85 & -1.21 & -12.79 & -2.92 & -0.62 & -12.79 & -2.92 & -0.62 \\
\ce{H2O2} & 268.77 & -33.22 & -10.75 & -4.37 & -2.09 & -17.09 & -3.37 & -0.59 & -17.09 & -3.37 & -0.59 \\
\ce{H2S} & 183.36 & -16.42 & -6.09 & -2.26 & -0.79 & -8.26 & -2.91 & -0.83 & -8.26 & -2.91 & -0.83 \\
\ce{H3COH} & 512.25 & -39.65 & -12.16 & -4.52 & -2.10 & -17.28 & -2.93 & -0.1 & -17.28 & -2.93 & -0.1 \\
\ce{H3CSH} & 473.92 & -36.54 & -12.24 & -4.71 & -1.98 & -16.19 & -4.00 & -0.85 & -16.19 & -4.00 & -0.85 \\
\ce{HCN} & 311.54 & -29.08 & -10.32 & -3.95 & -1.95 & -11.81 & -2.11 & 0.22 & -11.81 & -2.11 & 0.22 \\
\ce{HCO} & 277.92 & -22.87 & -8.28 & -3.06 & -1.46 & -10.20 & -2.31 & 0.16 & -10.20 & -2.31 & 0.16 \\
\ce{HCl} & 107.31 & -9.11 & -3.37 & -1.31 & -0.48 & -4.84 & -1.73 & -0.60 & -4.84 & -1.73 & -0.60 \\
\ce{HF} & 141.67 & -15.33 & -4.73 & -1.72 & -0.73 & -9.59 & -2.21 & -0.53 & -9.59 & -2.21 & -0.53 \\
\ce{HOCl} & 165.85 & -27.19 & -9.45 & -4.05 & -1.68 & -16.76 & -4.40 & -1.38 & -16.76 & -4.40 & -1.38 \\
\ce{Li2} & 24.10 & -1.64 & -0.37 & -0.08 & -0.04 & -0.47 & 0.05 & 0.09 & -0.47 & 0.05 & 0.09 \\
\ce{LiF} & 138.33 & -15.98 & -6.20 & -2.02 & -1.0 & -8.50 & -2.56 & -0.06 & -8.50 & -2.56 & -0.06 \\
\ce{LiH} & 57.70 & -5.80 & -1.34 & -0.43 & -0.20 & -2.36 & -0.16 & 0.07 & -2.36 & -0.16 & 0.07 \\
\ce{N2} & 227.18 & -27.25 & -10.85 & -4.40 & -2.15 & -10.85 & -2.34 & -0.\times 10^{-2} & -10.85 & -2.34 & 0.00 \\
\ce{N2H4} & 437.39 & -50.52 & -16.80 & -6.47 & -2.99 & -21.69 & -4.16 & -0.66 & -21.69 & -4.16 & -0.66 \\
\ce{NH} & 82.86 & -11.49 & -3.67 & -1.40 & -0.63 & -4.91 & -0.87 & -0.23 & -4.91 & -0.87 & -0.23 \\
\ce{NH2} & 182.14 & -21.58 & -6.83 & -2.59 & -1.16 & -9.43 & -1.72 & -0.36 & -9.43 & -1.72 & -0.36 \\
\ce{NH3} & 297.46 & -30.02 & -9.32 & -3.49 & -1.54 & -13.23 & -2.33 & -0.41 & -13.23 & -2.33 & -0.41 \\
\ce{NO} & 151.73 & -20.13 & -8.33 & -3.40 & -1.66 & -8.46 & -2.18 & -0.07 & -8.46 & -2.18 & -0.07 \\
\ce{Na2} & 16.44 & -1.14 & -0.21 & -0.11 & -0.03 & -0.22 & 0.08 & 0.02 & -0.22 & 0.08 & 0.02 \\
\ce{NaCl} & 99.61 & -13.83 & -6.33 & -2.63 & -1.16 & -6.70 & -3.05 & -0.88 & -6.70 & -3.05 & -0.88 \\
\ce{O2} & 119.64 & -15.78 & -6.09 & -2.52 & -1.23 & -9.00 & -2.47 & -0.41 & -9.00 & -2.47 & -0.41 \\
\ce{OH} & 107.08 & -12.86 & -4.17 & -1.57 & -0.69 & -6.71 & -1.54 & -0.30 & -6.71 & -1.54 & -0.30 \\
\ce{P2} & 115.68 & -26.99 & -12.04 & -5.02 & -2.05 & -12.90 & -4.59 & -0.77 & -12.90 & -4.59 & -0.77 \\
\ce{PH2} & 153.91 & -16.69 & -5.87 & -2.08 & -0.77 & -7.75 & -2.37 & -0.42 & -7.75 & -2.37 & -0.42 \\
\ce{PH3} & 241.49 & -22.83 & -8.02 & -2.88 & -1.04 & -10.51 & -3.25 & -0.65 & -10.51 & -3.25 & -0.65 \\
\ce{S2} & 103.07 & -21.55 & -9.78 & -4.44 & -1.68 & -14.48 & -5.62 & -2.11 & -14.48 & -5.62 & -2.11 \\
\ce{SO} & 125.12 & -29.67 & -10.55 & -4.65 & -1.51 & -22.23 & -6.51 & -2.30 & -22.23 & -6.51 & -2.30 \\
\ce{SO2} & 258.09 & -72.08 & -25.99 & -11.66 & -3.46 & -54.88 & -16.77 & -6.22 & -54.88 & -16.77 & -6.22 \\
\ce{Si2} & 75.74 & -14.79 & -5.51 & -2.25 & -0.93 & -8.98 & -2.52 & -0.60 & -8.98 & -2.52 & -0.60 \\
\ce{Si2H6} & 535.58 & -42.77 & -14.82 & -5.05 & -1.77 & -21.04 & -6.55 & -1.29 & -21.04 & -6.55 & -1.29 \\
\ce{SiH2 $^1A_1$} & 153.66 & -13.20 & -4.29 & -1.47 & -0.50 & -7.98 & -2.76 & -0.83 & -7.98 & -2.76 & -0.83 \\
\ce{SiH2 $^3B_1$} & 133.17 & -11.32 & -3.83 & -1.15 & -0.37 & -7.66 & -3.01 & -0.91 & -7.66 & -3.01 & -0.91 \\
\ce{SiH3} & 227.99 & -17.54 & -5.85 & -1.82 & -0.59 & -8.83 & -2.88 & -0.56 & -8.83 & -2.88 & -0.56 \\
\ce{SiH4} & 324.59 & -23.03 & -7.65 & -2.44 & -0.78 & -10.85 & -3.35 & -0.58 & -10.85 & -3.35 & -0.58 \\
\ce{SiO} & 191.48 & -31.12 & -10.81 & -4.45 & -1.61 & -20.54 & -5.27 & -1.19 & -20.54 & -5.27 & -1.19 \\
\end{tabular}
\end{ruledtabular}
\end{table}
\end{squeezetable}
\end{turnpage}
\bibliography{../G2_srDFT}
\end{document}