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\title{Reference Energies for Cyclobutadiene: Automerization and Excited States}
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\title{Reference Energies for Cyclobutadiene: Automerization and Excited States}
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\author{Enzo \surname{Monino}}
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\author{Enzo \surname{Monino}*}
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\email{emonino@irsamc.ups-tlse.fr}
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\email{emonino@irsamc.ups-tlse.fr}
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\affiliation{\LCPQ}
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\affiliation{\LCPQ}
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\author{Martial \surname{Boggio-Pasqua}}
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\author{Martial \surname{Boggio-Pasqua}}
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\affiliation{\LCPQ}
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\affiliation{\LCPQ}
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\author{Denis \surname{Jacquemin}}
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\author{Denis \surname{Jacquemin}}
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\affiliation{\CEISAM}
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\affiliation{\CEISAM}
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\author{Pierre-Fran\c{c}ois \surname{Loos}}
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\author{Pierre-Fran\c{c}ois \surname{Loos}*}
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\email{loos@irsamc.ups-tlse.fr}
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\email{loos@irsamc.ups-tlse.fr}
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\affiliation{\LCPQ}
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\affiliation{\LCPQ}
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\begin{abstract}
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\begin{abstract}
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\section*{Abstract}
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\textbf{Abstract:}
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Cyclobutadiene is a well-known playground for theoretical chemists and is particularly suitable to test ground- and excited-state methods.
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Cyclobutadiene is a well-known playground for theoretical chemists and is particularly suitable to test ground- and excited-state methods.
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Indeed, due to its high spatial symmetry, especially at the $D_{4h}$ square geometry but also in the $D_{2h}$ rectangular arrangement, the ground and excited states of cyclobutadiene exhibit multi-configurational characters and single-reference methods, such as \alert{standard} adiabatic time-dependent density-functional theory (TD-DFT) or \alert{standard} equation-of-motion coupled cluster (EOM-CC), are notoriously known to struggle in such situations.
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Indeed, due to its high spatial symmetry, especially at the $D_{4h}$ square geometry but also in the $D_{2h}$ rectangular arrangement, the ground and excited states of cyclobutadiene exhibit multi-configurational characters and single-reference methods, such as \alert{standard} adiabatic time-dependent density-functional theory (TD-DFT) or \alert{standard} equation-of-motion coupled cluster (EOM-CC), are notoriously known to struggle in such situations.
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In this work, using a large panel of methods and basis sets, we provide an extensive computational study of the automerization barrier (defined as the difference between the square and rectangular ground-state energies) and the vertical excitation energies at $D_{2h}$ and $D_{4h}$ equilibrium structures.
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In this work, using a large panel of methods and basis sets, we provide an extensive computational study of the automerization barrier (defined as the difference between the square and rectangular ground-state energies) and the vertical excitation energies at $D_{2h}$ and $D_{4h}$ equilibrium structures.
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@ -156,7 +156,7 @@ Finally, our conclusions are drawn in Sec.~\ref{sec:conclusion}.
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%%% %%% %%% %%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\section{Computational details}
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\section{Methods}
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\label{sec:compmet}
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\label{sec:compmet}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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@ -274,7 +274,7 @@ Additional tables gathering these TBEs as well as literature data for the autome
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\section{Results and discussion}
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\section{Results \& discussion}
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\label{sec:res}
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\label{sec:res}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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