Cover letter
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Cover_Letter/CNRS_logo.pdf
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Cover_Letter/CNRS_logo.pdf
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Cover_Letter/CoverLetter.tex
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Cover_Letter/CoverLetter.tex
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\documentclass[10pt]{letter}
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\usepackage{UPS_letterhead,xcolor,mhchem,mathpazo,ragged2e,url}
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\newcommand{\alert}[1]{\textcolor{red}{#1}}
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\definecolor{darkgreen}{HTML}{009900}
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\begin{document}
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\begin{letter}%
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{To the Editors of WIREs Comput. Mol. Sci.}
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\opening{Dear Cl\'emence,}
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\justifying
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Please find enclosed our manuscript entitled \textit{``QUESTDB: a database of highly-accurate excitation energies for the electronic structure community''}, which we would like you to consider as an Advanced Review in \textit{WIREs Comput. Mol. Sci.}.
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The present review summarises and extends our effort to build a comprehensive database of highly-accurate vertical excitation energies for small- and medium-sized molecules that we have named the QUEST database.
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In order to gather the huge amount of data produced during the QUEST project, we have specifically created for the present article a brand new website [\url{https://lcpq.github.io/QUESTDB_ website}] where one can easily test and compare various theoretical methods.
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We hope that the present review will provide a useful summary of our effort so far and foster new developments around excited-state methods.
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We look forward to hearing from you.
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\closing{Sincerely, the authors.}
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\end{letter}
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\end{document}
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Cover_Letter/UPS_letterhead.sty
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Cover_Letter/UPS_letterhead.sty
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%ANU etterhead Yves
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%version 1.0 12/06/08
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%need to be improved
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\RequirePackage{graphicx}
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%%%%%%%%%%%%%%%%%%%%% DEFINE USER-SPECIFIC MACROS BELOW %%%%%%%%%%%%%%%%%%%%%
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\def\Who {Pierre-Fran\c{c}ois Loos}
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\def\What {Dr}
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\def\Where {Universit\'e Paul Sabatier}
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\def\Address {Laboratoire de Chimie et Physique Quantiques}
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\def\CityZip {Toulouse, France}
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\def\Email {loos@irsamc.ups-tlse.fr}
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\def\TEL {+33 5 61 55 73 39}
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\def\URL {} % NOTE: use $\sim$ for tilde
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% MARGINS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\textwidth 6in
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\textheight 9.25in
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\oddsidemargin 0.25in
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\evensidemargin 0.25in
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\topmargin -1.50in
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\longindentation 0.50\textwidth
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\parindent 5ex
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%%%%%%%%%%%%%%%%%%%%%%%%%%% ADDRESS MACRO BELOW %%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\address{
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\includegraphics[height=0.7in]{CNRS_logo.pdf} \hspace*{\fill}\includegraphics[height=0.7in]{UPS_logo.pdf}
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\\
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\hrulefill
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\\
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{\small \What~\Who\hspace*{\fill} Telephone:\ \TEL
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\\
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\Where\hspace*{\fill} Email:\ \Email
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\\
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\Address\hspace*{\fill}
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\\
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\CityZip\hspace*{\fill} \URL}
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}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%% OTHER MACROS BELOW %%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%\signature{\What~\Who}
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\def\opening#1{\ifx\@empty\fromaddress
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\thispagestyle{firstpage}
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\hspace*{\longindendation}\today\par
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\else \thispagestyle{empty}
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{\centering\fromaddress \vspace{5\parskip} \\
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\today\hspace*{\fill}\par}
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\fi
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\vspace{3\parskip}
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{\raggedright \toname \\ \toaddress \par}\vspace{3\parskip}
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\noindent #1\par\raggedright\parindent 5ex\par
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}
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%I do not know what does the macro below
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%\long\def\closing#1{\par\nobreak\vspace{\parskip}
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%\stopbreaks
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%\noindent
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%\ifx\@empty\fromaddress\else
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%\hspace*{\longindentation}\fi
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%\parbox{\indentedwidth}{\raggedright
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%\ignorespaces #1\vskip .65in
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%\ifx\@empty\fromsig
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%\else \fromsig \fi\strut}
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%\vspace*{\fill}
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% \par}
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Cover_Letter/UPS_logo.pdf
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@ -302,8 +302,7 @@ the accuracy of the excitation energy estimates strongly depends on our ability
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Here, we greatly enhance the compensation of errors by making use of
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our selection procedure ensuring that the rPT2 values of both states
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match as well as possible (a trick known as PT2 matching
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\cite{Dash_2018,Dash_2019}), i.e. $E_{\text{rPT2}} =
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E_{\text{rPT2}}^{(0)} \approx E_{\text{rPT2}}^{(m)}$, and
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\cite{Dash_2018,Dash_2019}), i.e. $E_{\text{rPT2}}^{(0)} \approx E_{\text{rPT2}}^{(m)}$, and
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by using a common set of state-averaged natural orbitals with equal weights for the ground and excited states.
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%This last feature tends to make the values of $\alpha^{(0)}$ and $\alpha^{(m)}$ very close to each other, such that the error on the energy difference is decreased.
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@ -313,18 +312,14 @@ Using Eq.~\eqref{eqx} the estimated error on the CIPSI energy is calculated as
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= \qty(E_\text{var}^{(m)}+E_{\text{rPT2}}^{(m)}) - E_{\text{FCI}}^{(m)}
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= \qty(1-\alpha^{(m)}) E_{\text{rPT2}}^{(m)}
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\end{equation}
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and thus the extrapolated excitation energy associated with the $m$th
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state is given by
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and thus the extrapolated excitation energy associated with the $m$th excited state is given by
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\begin{equation}
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\Delta E_{\text{FCI}}^{(m)}
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= \qty[ E_\text{var}^{(m)} + E_{\text{rPT2}}^{(m)} + \qty(\alpha^{(m)}-1) E_{\text{rPT2}}^{(m)} ]
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- \qty[ E_\text{var}^{(0)} + E_{\text{rPT2}}^{(0)} + \qty(\alpha^{(0)}-1) E_{\text{rPT2}}^{(0)} ].
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\end{equation}
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The slopes $\alpha^{(m)}$ and $\alpha^{(0)}$ deviating only slightly from the unity, the error in
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$\Delta E_{\text{FCI}}^{(m)}$ can be expressed at leading order as $\qty(\alpha^{(m)}-\alpha^{(0)}) {\bar E}_{\text{rPT2}} + O\qty[{{\bar E}_{\text{rPT2}}^2}]$, where
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${\bar E}_{\text{rPT2}}$ is the averaged second-order correction,
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${\bar E}_{\text{rPT2}}=\qty(E_{\text{rPT2}}^{(m)}
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+E_{\text{rPT2}}^{(0)})/2$.
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$\Delta E_{\text{FCI}}^{(m)}$ can be expressed at leading order as $\qty(\alpha^{(m)}-\alpha^{(0)}) {\bar E}_{\text{rPT2}} + \mathcal{O}\qty[{{\bar E}_{\text{rPT2}}^2}]$, where ${\bar E}_{\text{rPT2}}=\qty(E_{\text{rPT2}}^{(m)} +E_{\text{rPT2}}^{(0)})/2$ is the averaged second-order correction.
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In the ideal case where one is able to fully correlate the CIPSI calculations associated with the ground and excited states, the fluctuations of
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$\Delta E_\text{CIPSI}^{(m)}(n)$ as a function of the iteration number $n$ would completely vanish and the exact excitation energy would be obtained from the first CIPSI iterations.
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