\newif\ifpreprint %Preprint/reprint switch \preprinttrue % Enable for single column preprint %\preprintfalse % Enable for double column reprint \ifpreprint \documentclass[journal=jpclcd,manuscript=letter]{achemso} \else \documentclass[journal=jpclcd,manuscript=letter,layout=twocolumn]{achemso} \fi \usepackage[T1]{fontenc} % Use modern font encodings \usepackage{amsmath} \usepackage{newtxtext,newtxmath} \usepackage{pifont} \usepackage{graphicx} \usepackage{dcolumn,longtable} \usepackage{braket} \usepackage{multirow} \usepackage{threeparttable} \usepackage{xspace} \usepackage{verbatim} \usepackage[version=4]{mhchem} % Formula subscripts using \ce{} \usepackage{comment} \usepackage{color,soul} \usepackage{mathtools} \usepackage[dvipsnames]{xcolor} \usepackage{xspace} \usepackage{ifthen} \usepackage{qcircuit} \usepackage{graphicx,longtable,dcolumn,mhchem} \usepackage{rotating,color} \usepackage{lscape} \usepackage{amsmath} \usepackage{dsfont} \usepackage{soul} \usepackage{physics} \newcommand{\cmark}{\color{green}{\text{\ding{51}}}} \newcommand{\xmark}{\color{red}{\text{\ding{55}}}} \newcommand{\mc}{\multicolumn} \newcommand{\mr}{\multirow} \newcommand{\ie}{\textit{i.e.}} \newcommand{\eg}{\textit{e.g.}} \newcommand{\ra}{\rightarrow} \newcommand{\fnm}{\footnotemark} \newcommand{\fnt}{\footnotetext} \newcommand{\tabc}[1]{\multicolumn{1}{c}{#1}} \newcommand{\SI}{\textcolor{blue}{supporting information}} \newcommand{\QP}{\textsc{quantum package}} % \newcommand{\Ead}{E^\text{adia}} \newcommand{\EOO}{E^\text{0-0}} \newcommand{\Ea}{E_\text{abs}^\text{vert}} \newcommand{\Ef}{E_\text{fluo}^\text{vert}} % units \newcommand{\IneV}[1]{#1 eV} \newcommand{\InAU}[1]{#1 a.u.} \newcommand{\InAA}[1]{#1 \AA} \newcommand{\kcal}{kcal/mol} % sets \newcommand{\SetA}{QUEST\#1} \newcommand{\SetB}{QUEST\#2} \newcommand{\SetC}{QUEST\#3} \setcounter{table}{0} \setcounter{figure}{0} \setcounter{page}{1} \setcounter{equation}{0} \renewcommand{\thepage}{S\arabic{page}} \renewcommand{\thefigure}{S\arabic{figure}} \renewcommand{\theequation}{S\arabic{equation}} \renewcommand{\thetable}{S\arabic{table}} \renewcommand{\thesection}{S\arabic{section}} \renewcommand\floatpagefraction{.99} \renewcommand\topfraction{.99} \renewcommand\bottomfraction{.99} \renewcommand\textfraction{.01} \usepackage[colorlinks = true, linkcolor = blue, urlcolor = black, citecolor = blue, anchorcolor = black]{hyperref} \definecolor{goodorange}{RGB}{225,125,0} \definecolor{goodgreen}{RGB}{5,130,5} \definecolor{goodred}{RGB}{220,50,25} \definecolor{goodblue}{RGB}{30,144,255} \newcommand{\note}[2]{ \ifthenelse{\equal{#1}{F}}{ \colorbox{goodorange}{\textcolor{white}{\footnotesize \fontfamily{phv}\selectfont #1}} \textcolor{goodorange}{{\footnotesize \fontfamily{phv}\selectfont #2}}\xspace }{} \ifthenelse{\equal{#1}{R}}{ \colorbox{goodred}{\textcolor{white}{\footnotesize \fontfamily{phv}\selectfont #1}} \textcolor{goodred}{{\footnotesize \fontfamily{phv}\selectfont #2}}\xspace }{} \ifthenelse{\equal{#1}{N}}{ \colorbox{goodgreen}{\textcolor{white}{\footnotesize \fontfamily{phv}\selectfont #1}} \textcolor{goodgreen}{{\footnotesize \fontfamily{phv}\selectfont #2}}\xspace }{} \ifthenelse{\equal{#1}{M}}{ \colorbox{goodblue}{\textcolor{white}{\footnotesize \fontfamily{phv}\selectfont #1}} \textcolor{goodblue}{{\footnotesize \fontfamily{phv}\selectfont #2}}\xspace }{} } \usepackage{titlesec} %\usepackage{footnote} % \let\titlefont\undefined \usepackage[fontsize=11pt]{scrextend} \captionsetup{font={sf,footnotesize}} % \titleformat{\section} {\normalfont\sffamily\bfseries\color{Blue}} {\thesection.}{0.25em}{\uppercase} \titleformat{\subsection}[runin] {\normalfont\sffamily\bfseries} {\thesubsection}{0.25em}{}[.\;\;] \titleformat{\suppinfo} {\normalfont\sffamily\bfseries} {\thesubsection}{0.25em}{} \titlespacing*{\section}{0pt}{0.5\baselineskip}{0.01\baselineskip} \titlespacing*{\subsection}{0pt}{0.125\baselineskip}{0.01\baselineskip} \renewcommand{\refname}{\normalfont\sffamily\bfseries\color{Blue}{\normalsize REFERENCES}} \setlength{\bibsep}{0pt plus 0.3ex} \author{Pierre-Fran\c{c}ois Loos} \email{loos@irsamc.ups-tlse.fr} \affiliation[LCPQ, Toulouse]{Laboratoire de Chimie et Physique Quantiques, Universit\'e de Toulouse, CNRS, UPS, France} \author{Anthony Scemama} \affiliation[LCPQ, Toulouse]{Laboratoire de Chimie et Physique Quantiques, Universit\'e de Toulouse, CNRS, UPS, France} \author{Denis Jacquemin} \email{Denis.Jacquemin@univ-nantes.fr} \affiliation[CEISAM, Nantes]{Universit\'e de Nantes, CNRS, CEISAM UMR 6230, F-44000 Nantes, France} \let\oldmaketitle\maketitle \let\maketitle\relax \title{The Quest For Highly Accurate Excitation Energies: A Computational Perspective: SI} \date{\today} \begin{document} \clearpage % % Table-1 % \begin{scriptsize} \renewcommand{\arraystretch}{0.7} \begin{longtable}{lccllcc} \caption{ \label{Table-1} Results obtained in previous benchmarks of wavefunction (and BSE) approaches. We report the tested method, the year of publication, the set used (both number of excited states and number and nature of the molecules), the selected benchmark, the obtained MAE (in eV), and the reference. S ans T stands for singlet and triplet respectively, and are specified only when the separated statistics are given in the original corks. Further details can be found in these works. We do not intend to list all previous benchmarks, nor all results obtained in all works, but to illustrate the of results that have been reached.} \\ \hline \hline Method & Year & No.~of ES & No.~of molecules & Benchmark & MAE (eV) & Ref. \\ \hline \endfirsthead \hline \hline Method & Year & No.~of ES & No.~of molecules & Benchmark & MAE (eV) & Ref. \\ \hline \endhead \hline \multicolumn{7}{l}{Continued on next page} \\ \endfoot \hline \hline \multicolumn{7}{l}{$^a$Depending on the selected solvent model: LR/cLR.}\\ \multicolumn{7}{l}{$^b$With the largest considered basis set, 6-311G, using (or not) various IPEA, see the original work.}\\ \endlastfoot BSE@ev$GW$ & 2015 & 91 &28 (medium-size organic)& Th. $\Ea$ (Thiel's TBE-2) & 0.25 &\citenum{Jac15a} \\ & 2015 & 80 & 80 (organic dyes) & Exp. $\EOO$ (solvated) & 0.19/0.15$^a$ &\citenum{Jac15b} \\ & 2017 & 23 &18 (various) & Exp. excitation energies & 0.18 &\citenum{Jac17b} \\ & 2017 & 62 (T) &20 (medium-size organic)& Th. $\Ea$ (CC3) & 0.58 & \citenum{Jac17a} \\ & 2018 & 104 (S) &28 (medium-size organic )& Th. $\Ea$ (CC3) & 0.26 &\citenum{Gui18} \\ & 2018 & 63 (T) &20 (medium-size organic)& Th. $\Ea$ (CC3) & 0.84 &\citenum{Gui18} \\ CIS & 1995 & 6 &6 (diatomics) & Exp. $\Ead$ & 0.73 & \citenum{Sta95} \\ & 2002 & 34 &28 (mostly di/triatomics) & Exp. $\Ead$ and $\EOO$ & 0.63 & \citenum{Fur02} \\ & 2005 & 19 & 4 (diatomics) & Exp. $\Ead$ & 0.57 & \citenum{Hat05c} \\ & 2007 & 32 & 22 (diverse) &Exp. $\EOO$ & 0.71 &\citenum{Rhe07} \\ & 2009 & 20 & 29 (mostly di/triatomics) &Exp. $\Ead$ and $\EOO$ & 0.58 & \citenum{Rhe09} \\ & 2010 & 69 &11 (medium-size organic) &Exp. excitation energies & 1.07 & \citenum{Car10} \\ & 2010 & 12 &12 (organic dyes) & Exp. $\EOO$ (solvated) & 0.77 &\citenum{Goe10a} \\ & 2011 & 91 & 109 (diverse) &Exp. $\EOO$ & 0.98 & \citenum{Sen11b} \\ & 2013 & 7 & 7 (organic dyes) & Exp. $\EOO$ (solvated) & 0.75 &\citenum{Cha13c} \\ & 2014 & 79 & 96 (various) &Exp. $\EOO$ & 0.88 & \citenum{Fan14b} \\ & 2014 & 29 & 15 (small radicals) &Exp. $\EOO$ & 1.75 &\citenum{Bar14b} \\ & 2017 & 66 & 46 (aromatics) &Exp. $\EOO$ & 1.08 & \citenum{Oru16} \\ CIS(D) & 1995 & 6 &6 (diatomics) & Exp. $\Ead$ & 0.27 & \citenum{Sta95} \\ & 2004 & 32 & 22 (diverse) & Exp. $\EOO$ & 0.19 & \citenum{Gri04b} \\ & 2005 & 19 & 4 (diatomics) & Exp. $\Ead$ & 0.26 & \citenum{Hat05c} \\ & 2007 & 32 & 22 (diverse) &Exp. $\EOO$ & 0.22 &\citenum{Rhe07} \\ & 2010 & 69 &11 (medium-size organic) &Exp. excitation energies & 0.49 & \citenum{Car10} \\ & 2010 & 12 &12 (organic dyes) & Exp. $\EOO$ (solvated) & 0.25 &\citenum{Goe10a} \\ & 2015 & 80 & 80 (organic dyes) & Exp. $\EOO$ (solvated) & 0.18/0.26$^a$ &\citenum{Jac15b} \\ & 2018 & 106 & 18 (small compounds) & Th. $\Ea$ (FCI) & 0.25 & \citenum{Loo18a}\\ & 2020 & 221 & 27 (medium-size organic)& Th. $\Ea$ (FCI, CCSDTQ, CCSDT) & 0.23 & \citenum{Loo20a} \\ ADC(2) & 2002 & 43 & 4 (small) & Th. $\Ea$ (FCI) & 0.64 & \citenum{Tro02} \\ & 2005 & 19 & 4 (diatomics) & Exp. $\Ead$ & 0.21 & \citenum{Hat05c} \\ & 2013 & 66 & 46 (aromatics) & Exp. $\EOO$ & 0.08 & \citenum{Win13} \\ & 2014 & 104 & 28 (medium-size organic)&Th. $\Ea$ (Thiel's TBE) & 0.29 & \citenum{Har14} \\ & 2015 & 80 & 80 (organic dyes) & Exp. $\EOO$ (solvated) & 0.22/0.14$^a$ &\citenum{Jac15b} \\ & 2018 & 106 & 18 (small compounds) & Th. $\Ea$ (FCI) & 0.21 & \citenum{Loo18a}\\ & 2020 & 101 & 94 (medium-size organic)& Exp. $\EOO$ & 0.16 &\citenum{Loo20b} \\ & 2020 & 328 & 45 (1--6 non-H atoms) & Th. $\Ea$ (FCI, CCSDTQ, CCSDT) & 0.16 &\citenum{Loo20b} \\ & 2020 & 218 & 27 (medium-size organic)& Th. $\Ea$ (FCI, CCSDTQ, CCSDT) & 0.14 & \citenum{Loo20a} \\ ADC(3) & 2002 & 43 & 4 (small) & Th. $\Ea$ (FCI) & 0.17 & \citenum{Tro02} \\ & 2014 & 104 & 28 (medium-size organic)&Th. $\Ea$ (Thiel's TBE) & 0.24 & \citenum{Har14} \\ & 2018 & 106 & 18 (small compounds) & Th. $\Ea$ (FCI) & 0.23 & \citenum{Loo18a}\\ & 2020 & 101 & 94 (medium-size organic)& Exp. $\EOO$ & 0.18 &\citenum{Loo20b} \\ & 2020 & 328 & 45 (1--6 non-H atoms) & Th. $\Ea$ (FCI, CCSDTQ, CCSDT) & 0.21 &\citenum{Loo20b} \\ CC2 & 2002 & 43 & 4 (small) & Th. $\Ea$ (FCI) & 0.53 & \citenum{Tro02} \\ & 2003 & 20 & 29 (mostly di/triatomics)& Exp. $\Ead$ and $\EOO$ & 0.17 & \citenum{Koh03} \\ & 2005 & 19 & 4 (diatomics) & Exp. $\Ead$ & 0.16 & \citenum{Hat05c} \\ & 2008 & 26 & 19 (di/triatomics) & Exp. $\Ead$ and $\EOO$ & 0.17 & \citenum{Hel08} \\ & 2008 & 32 & 22 (diverse) & Exp. $\EOO$ & 0.14 & \citenum{Hel08} \\ & 2008 & 152 (S) & 28 (medium-size organic)&Th. $\Ea$ (CASPT2) & 0.32 & \citenum{Sch08} \\ & 2008 & 71 (T) & 20 (medium-size organic)&Th. $\Ea$ (CASPT2) & 0.19 & \citenum{Sch08} \\ & 2009 & 20 & 29 (mostly di/triatomics) &Exp. $\Ead$ and $\EOO$ & 0.18 & \citenum{Rhe09} \\ & 2011 & 15 & 15 (diverse) &Exp. $\EOO$ & 0.17 & \citenum{Sen11b} \\ & 2013 & 66 & 46 (aromatics) &Exp. $\EOO$ & 0.07 & \citenum{Win13} \\ & 2014 & 79 & 96 (various) &Exp. $\EOO$ & 0.19 & \citenum{Fan14b} \\ & 2015 & 80 & 80 (organic dyes) & Exp. $\EOO$ (solvated) & 0.16/0.13$^a$ &\citenum{Jac15b} \\ & 2016 & 132 & 25 (medium-size organic)& Th. $\Ea$ (CC3) & 0.22 & \citenum{Taj16} \\ & 2017 & 66 & 46 (aromatics) &Exp. $\EOO$ & 0.11 & \citenum{Oru16} \\ & 2018 & 106 & 18 (small compounds) & Th. $\Ea$ (FCI) & 0.22 & \citenum{Loo18a}\\ & 2018 & 35 & 31 (medium-size organic)&Exp. $\EOO$ & 0.08 & \citenum{Loo18b} \\ & 2020 & 101 & 94 (medium-size organic)& Exp. $\EOO$ & 0.10 &\citenum{Loo20b} \\ & 2020 & 328 & 45 (1--6 non-H atoms) & Th. $\Ea$ (FCI, CCSDTQ, CCSDT) & 0.17 &\citenum{Loo20b} \\ & 2020 & 223 & 27 (medium-size organic)& Th. $\Ea$ (FCI, CCSDTQ, CCSDT) & 0.15 & \citenum{Loo20a} \\ CCSD & 1995 & 6 &6 (diatomics) & Exp. $\Ead$ & 0.19 & \citenum{Sta95} \\ & 2002 & 43 & 4 (small) & Th. $\Ea$ (FCI) & 0.15 & \citenum{Tro02} \\ & 2005 & 19 & 4 (diatomics) & Exp. $\Ead$ & 0.20 & \citenum{Hat05c} \\ & 2008 & 152 (S) & 28 (medium-size organic)&Th. $\Ea$ (CASPT2) & 0.50 & \citenum{Sch08} \\ & 2008 & 71 (T) & 20 (medium-size organic)&Th. $\Ea$ (CASPT2) & 0.16 & \citenum{Sch08} \\ & 2010 & 69 &11 (medium-size organic) &Exp. excitation energies & 0.27 & \citenum{Car10} \\ & 2016 & 132 & 25 (medium-size organic)& Th. $\Ea$ (CC3) & 0.15 & \citenum{Taj16} \\ & 2017 & 23 &18 (various) & Exp. excitation energies & 0.31 &\citenum{Jac17b} \\ & 2018 & 106 & 18 (small compounds) & Th. $\Ea$ (FCI) & 0.08 & \citenum{Loo18a}\\ & 2018 & 35 & 31 (medium-size organic)&Exp. $\EOO$ & 0.21 & \citenum{Loo18b} \\ & 2020 & 223 & 27 (medium-size organic)& Th. $\Ea$ (FCI, CCSDTQ, CCSDT) & 0.13 & \citenum{Loo20a} \\ CC3 & 2002 & 43 & 4 (small) & Th. $\Ea$ (FCI) & 0.02 & \citenum{Tro02} \\ & 2005 & 19 & 4 (diatomics) & Exp. $\Ead$ & 0.04 & \citenum{Hat05c} \\ & 2008 & 121 (S) & 28 (medium-size organic)&Th. $\Ea$ (CASPT2) & 0.20 & \citenum{Sch08} \\ & 2008 & 71 (T) & 20 (medium-size organic)&Th. $\Ea$ (CASPT2) & 0.08 & \citenum{Sch08} \\ & 2018 & 35 & 31 (medium-size organic)&Exp. $\EOO$ & 0.02 & \citenum{Loo18b} \\ & 2018 & 106 & 18 (small compounds) & Th. $\Ea$ (FCI) & 0.04 & \citenum{Loo18a}\\ & 2019 & 119 & 109 (diverse) &Exp. $\EOO$ & 0.03 & \citenum{Loo19a} \\ & 2020 & 101 & 94 (medium-size organic)& Exp. $\EOO$ & 0.04 &\citenum{Loo20b} \\ & 2020 & 328 & 45 (1--6 non-H atoms) & Th. $\Ea$ (FCI, CCSDTQ, CCSDT) & 0.02 &\citenum{Loo20b} \\ & 2020 & 223 & 27 (medium-size organic)& Th. $\Ea$ (FCI, CCSDTQ, CCSDT) & 0.01 & \citenum{Loo20a} \\ CCSDT & 2018 & 104 & 18 (small compounds) & Th. $\Ea$ (FCI) & 0.03 & \citenum{Loo18a}\\ CCSDTQ & 2018 & 73 & 18 (small compounds) & Th. $\Ea$ (FCI) & 0.01 & \citenum{Loo18a}\\ CASPT2 & 2013 & 121 &28 (medium-size organic) & Th. $\Ea$ (CC3) & 0.21 & \citenum{Sch13b} \\ & 2014 & 29 & 15 (small radicals) &Exp. $\EOO$ & 0.12 &\citenum{Bar14b} \\ & 2016 & 23 &18 (various) & Exp. excitation energies & 0.21 &\citenum{Hoy16} \\ & 2017 & 124 & 13 (di and triatomics) & Th. $\Ea$ (FCI) & 0.10/0.11$^b$ &\citenum{Zob17} \\ & 2017 & 130 & 28 (medium-size organic) & Exp. excitation energies & 0.25--0.33$^b$ &\citenum{Zob17} \\ (PC-)NEVPT2 & 2013 & 121 &28 (medium-size organic) & Th. $\Ea$ (CC3) & 0.28 & \citenum{Sch13b} \\ & 2020 & 223 & 27 (medium-size organic)& Th. $\Ea$ (FCI, CCSDTQ, CCSDT) & 0.13 & \citenum{Loo20a} \\ \end{longtable} \end{scriptsize} \clearpage \bibliography{ExPerspective} \end{document}