\newcommand{\TDDFT}{TD-DFT} \newcommand{\CASSCF}{CASSCF} \newcommand{\CASPT}{CASPT2} \newcommand{\ADC}[1]{ADC(#1)} \newcommand{\CC}[1]{CC#1} \newcommand{\CCSD}{CCSD} \newcommand{\EOMCCSD}{EOM-CCSD} \newcommand{\CCSDT}{CCSDT} \newcommand{\CCSDTQ}{CCSDTQ} \newcommand{\CCSDTQP}{CCSDTQP} \newcommand{\CI}{CI} \newcommand{\sCI}{sCI} \newcommand{\exCI}{exFCI} \newcommand{\FCI}{FCI} % basis \newcommand{\AVDZ}{aug-cc-pVDZ} \newcommand{\AVTZ}{aug-cc-pVTZ} \newcommand{\DAVTZ}{d-aug-cc-pVTZ} \newcommand{\AVQZ}{aug-cc-pVQZ} \newcommand{\DAVQZ}{d-aug-cc-pVQZ} \newcommand{\TAVQZ}{t-aug-cc-pVQZ} \newcommand{\AVPZ}{aug-cc-pV5Z} \newcommand{\DAVPZ}{d-aug-cc-pV5Z} \newcommand{\PopleDZ}{6-31+G(d)} % greek shortcut \newcommand{\pis}{\pi^\star} \newcommand{\Ryd}{\mathrm{R}} \begin{tabular}{llcccccc} & & & & TBE(FC)& \multicolumn{3}{c}{Corrected TBE} \\ & State & $f$ & \%$T_1$ & AVTZ & Method & Corr. & Value \\ Acetaldehyde &$^1A''(\mathrm{V};n \rightarrow \pis)$ & 0.000 &91.3& 4.31 & {\exCI}/AVTZ & AVQZ &4.31 \\ &$^3A''(\mathrm{V};n \rightarrow \pis)$ & &97.9& 3.97$^a$ & {\exCI}/AVDZ & AVQZ &3.98 \\ Acetylene &$^1\Sigma_u^- (\mathrm{V};\pi \rightarrow \pis)$ & &96.5& 7.10 & {\exCI}/AVTZ & dAV5Z &7.10 \\ &$^1\Delta_u (\mathrm{V};\pi \rightarrow \pis)$ & &93.3& 7.44 & & &7.44 \\ &$^3\Sigma_u^+ (\mathrm{V};\pi \rightarrow \pis)$ & &99.2& 5.53 & & &5.56 \\ &$^3\Delta_u (\mathrm{V};\pi \rightarrow \pis)$ & &99.0& 6.40 & & &6.40 \\ &$^3\Sigma_u^- (\mathrm{V};\pi \rightarrow \pis)$ & &98.8& 7.08 & & &7.09 \\ &$^1A_u [\mathrm{F}] (\mathrm{V};\pi \rightarrow \pis)$ & &95.6& 3.64 & & &3.63 \\ &$^1A_2 [\mathrm{F}] (\mathrm{V};\pi \rightarrow \pis)$ & &95.5& 3.85 & & &3.85 \\ Ammonia &$^1A_2 (\Ryd;n \rightarrow 3s)$ & 0.086 &93.5& 6.59 &{\exCI}/AVQZ & dAV5Z &6.66 \\ &$^1E (\Ryd;n \rightarrow 3p)$ & 0.006 &93.7& 8.16 & & &8.21 \\ &$^1A_1 (\Ryd;n \rightarrow 3p)$ & 0.003 &94.0& 9.33 & & &8.65 \\ &$^1A_2 (\Ryd;n \rightarrow 4s)$ & 0.008 &93.6& 9.96 &{\exCI}/AVTZ & dAV5Z &9.19 \\ &$^3A_2 (\Ryd;n \rightarrow 3s)$ & &98.2& 6.31 &{\exCI}/AVQZ & dAV5Z &6.37 \\ Carbon monoxyde &$^1\Pi (\mathrm{V};n \rightarrow \pis)$ & 0.084 &93.1 & 8.49 & {\exCI}/AVQZ& dAV5Z &8.48 \\ &$^1\Sigma^- (\mathrm{V};\pi \rightarrow \pis)$ & &93.3 & 9.92 & & &9.98 \\ &$^1\Delta (\mathrm{V};\pi \rightarrow \pis)$ & &91.8 &10.06 & & &10.10 \\ &$^1\Sigma^+ (\Ryd)$ & 0.003 &91.5 &10.95 & & &10.80 \\ &$^1\Sigma^+ (\Ryd)$ & 0.200 &92.9 &11.52 & & &11.42 \\ &$^1\Pi (\Ryd)$ & 0.053 &92.4 &11.72 & & &11.55 \\ &$^3\Pi (\mathrm{V};n \rightarrow \pis)$ & &98.7 & 6.28 & & &6.28 \\ &$^3\Sigma^+ (\mathrm{V};\pi \rightarrow \pis)$ & &98.7 & 8.45 & & &8.49 \\ &$^3\Delta (\mathrm{V};\pi \rightarrow \pis)$ & &98.4 & 9.27 & & &9.28 \\ &$^3\Sigma^- (\mathrm{V};\pi \rightarrow \pis)$ & &97.5 & 9.80 & & &9.77 \\ &$^3\Sigma^+ (\Ryd)$ & &98.0 & 10.47 & {\exCI}/AVTZ &dAV5Z &10.37 \\ Cyclopropene &$^1B_1 (\mathrm{V};\sigma \rightarrow \pis)$ & 0.001 &92.8 &6.68$^b$ & {\CCSDT}/AVTZ&AVQZ & 6.68 \\ &$^1B_2 (\mathrm{V};\pi \rightarrow \pis)$ & 0.071 &95.1 &6.79$^a$ & {\exCI}/AVDZ &AVQZ & 6.78 \\ &$^3B_2 (\mathrm{V};\pi \rightarrow \pis)$ & &98.0 &4.38 & {\exCI}/AVTZ &AVQZ & 4.38 \\ &$^3B_1 (\mathrm{V};\sigma \rightarrow \pis)$ & &98.9 &6.45 & & & 6.45 \\ Diazomethane &$^1A_2 (\mathrm{V};\pi \rightarrow \pis)$ & &90.1 &3.14 &{\exCI}/AVTZ & dAVQZ &3.13 \\ &$^1B_1 (\Ryd;\pi \rightarrow 3s)$ & 0.002 &93.8 &5.54 & & &5.59 \\ &$^1A_1 (\mathrm{V};\pi \rightarrow \pis)$ & 0.210 &91.4 &5.90 & & & 5.89 \\ &$^3A_2 (\mathrm{V};\pi \rightarrow \pis)$ & &97.7 &2.79$^a$ & {\exCI}/AVDZ & dAVQZ &2.80 \\ &$^3A_1 (\mathrm{V};\pi \rightarrow \pis)$ & &98.6 &4.05 & {\exCI}/AVTZ & dAVQZ &4.05 \\ &$^3B_1 (\Ryd;\pi \rightarrow 3s)$ & &98.0 &5.35 & & &5.40 \\ &$^3A_1 (\Ryd;\pi \rightarrow 3p)$ & &98.5 &6.82 & & &6.72 \\ &$^1A'' [\mathrm{F}] (\mathrm{V};\pi \rightarrow \pis)$ & &87.4 &0.71 & & & 0.70 \\ Dinitrogen &$^1\Pi_g (\mathrm{V};n \rightarrow \pis)$ & &92.6 &9.34 & {\exCI}/AVQZ&dAV5Z &9.33 \\ &$^1\Sigma_u^- (\mathrm{V};\pi \rightarrow \pis)$ & &97.2 &9.88 & & &9.91 \\ &$^1\Delta_u (\mathrm{V};\pi \rightarrow \pis)$ & 0.000 &95.9 &10.29 & & &10.31 \\ &$^1\Sigma_g^+ (\Ryd)$ & &92.2 &12.98 & & &12.30 \\ &$^1\Pi_u (\Ryd)$ & 0.229 &82.9 &13.03 & {\exCI}/AVTZ&dAV5Z &12.73 \\ &$^1\Sigma_u^+ (\Ryd)$ & 0.296 &92.8 &13.09 & & &12.95 \\ &$^1\Pi_u (\Ryd)$ & 0.000 &87.4 &13.46 & & &13.27 \\ &$^3\Sigma_u^+ (\mathrm{V};\pi \rightarrow \pis)$ & &99.3 &7.70 & {\exCI}/AVQZ&dAV5Z &7.74 \\ &$^3\Pi_g (\mathrm{V};n \rightarrow \pis)$ & &98.4 &8.01 & & &8.03 \\ &$^3\Delta_u (\mathrm{V};\pi \rightarrow \pis)$ & &99.3 &8.87 & & &8.88 \\ &$^3\Sigma_u^- (\mathrm{V};\pi \rightarrow \pis)$ & &98.8 &9.66 & & &9.65 \\ Ethylene &$^1B_{3u} (\Ryd;\pi \rightarrow 3s)$ & 0.078 &95.1 &7.40 &{\exCI}/AVTZ & dAV5Z &7.44 \\ &$^1B_{1u} (\mathrm{V};\pi \rightarrow \pis)$ & 0.346 &95.8 &7.91$^a$ &{\exCI}/AVDZ& dAV5Z &7.89 \\ &$^1B_{1g} (\Ryd;\pi \rightarrow 3p)$ & &95.3 &8.07 & {\exCI}/AVTZ& dAV5Z &8.09 \\ &$^3B_{1u} (\mathrm{V};\pi \rightarrow \pis)$ & &99.1 &4.54 & & &4.54 \\ &$^3B_{3u} (\Ryd;\pi \rightarrow 3s)$ & &98.5 &7.23$^a$ &{\exCI}/AVDZ& dAV5Z &7.28 \\ &$^3B_{1g} (\Ryd;\pi \rightarrow 3p)$ & &98.4 &7.98$^a$ & & &8.00 \\ Formaldehyde &$^1A_2 (\mathrm{V}; n \rightarrow \pis)$ & &91.5 &3.98 &{\exCI}/AVTZ & dAV5Z &3.97 \\ &$^1B_2 (\Ryd;n \rightarrow 3s)$ & 0.021 &91.7 &7.23 & & &7.30 \\ &$^1B_2 (\Ryd;n \rightarrow 3p)$ & 0.037 &92.4 &8.13 & & &8.14 \\ &$^1A_1 (\Ryd;n \rightarrow 3p)$ & 0.052 &91.9 &8.23 & & &8.27 \\ &$^1A_2 (\Ryd;n \rightarrow 3p)$ & &91.7 &8.67 & & &8.50 \\ &$^1B_1 (\mathrm{V};\sigma \rightarrow \pis)$ & 0.001 &90.8 &9.22 & & &9.21 \\ &$^1A_1 (\mathrm{V};\pi \rightarrow \pis)$ & 0.135 &90.4 &9.43 & & &9.26 \\ &$^3A_2 (\mathrm{V};n \rightarrow \pis)$ & &98.1 &3.58 & & &3.58 \\ &$^3A_1 (\mathrm{V};\pi \rightarrow \pis)$ & &99.0 &6.06 & & &6.07 \\ &$^3B_2 (\Ryd;n \rightarrow 3s)$ & &97.1 &7.06 & & &7.14 \\ &$^3B_2 (\Ryd;n \rightarrow 3p)$ & &97.4 &7.94 & & &7.96 \\ &$^3A_1 (\Ryd;n \rightarrow 3p)$ & &97.2 &8.10 & & &8.15 \\ &$^3B_1 (\Ryd;n \rightarrow 3d)$ & &97.9 &8.42 & & &8.42 \\ &$^1A'' [\mathrm{F}] (\mathrm{V};n \rightarrow \pis)$ & &87.8 &2.80 & & &2.80 \\ Formamide &$^1A'' (\mathrm{V};n \rightarrow \pis)$ &0.000 &90.8 &5.65$^a$ &{\exCI}/AVDZ& AVQZ &5.63 \\ &$^1A' (\Ryd;n \rightarrow 3s)$ &0.001 &88.6 &6.77$^a$ & & &6.81 \\ &$^1A' (\mathrm{V};\pi \rightarrow \pis)$ &0.251 &89.3 &7.63 &{\exCI}/AVTZ & AVQZ &7.64 \\ &$^1A' (\Ryd;n \rightarrow 3p)$ &0.111 &89.6 &7.38$^b$ &{\CCSDT}/AVTZ& AVQZ &7.41 \\ &$^3A'' (\mathrm{V};n \rightarrow \pis)$ & &97.7 &5.38$^c$ &{\exCI}/AVDZ& AVQZ &5.37 \\ &$^3A' (\mathrm{V};\pi \rightarrow \pis)$ & &98.2 &5.81$^c$ & & &5.81 \\ Hydrogen chloride & $^1\Pi (\mathrm{CT})$ &0.056 &94.3 &7.84 & {\exCI}/AVQZ &dAV5Z &7.86 \\ Hydrogen sulfide &$^1A_2 (\Ryd;n \rightarrow 4p)$ & &94.6 &6.18 & {\exCI}/AVQZ &dAV5Z &6.10 \\ &$^1B_1 (\Ryd;n \rightarrow 4s)$ & 0.063 &94.3 &6.24 & & &6.29 \\ &$^3A_2 (\Ryd;n \rightarrow 4p)$ & &98.7 &5.81 & & &5.74 \\ &$^3B_1 (\Ryd;n \rightarrow 4s)$ & &98.4 &5.88 & & &5.94 \\ Ketene &$^1A_2 (\mathrm{V};\pi \rightarrow \pis)$ & &91.0 &3.86 &{\exCI}/AVTZ & dAVQZ &3.86 \\ &$^1B_1 (\Ryd;n \rightarrow 3s)$ & 0.035 &93.9 &6.01 & & &6.06 \\ &$^1A_2 (\Ryd;\pi \rightarrow 3p)$ & &94.4 &7.18 & & &7.19 \\ &$^3A_2 (\mathrm{V};n \rightarrow \pis)$ & &91.0 &3.77 & & &3.77 \\ &$^3A_1 (\mathrm{V};\pi \rightarrow \pis)$ & &98.6 &5.61 & & &5.60 \\ &$^3B_1 (\Ryd;n \rightarrow 3s)$ & &98.1 &5.79 & & &5.85 \\ &$^3A_2 (\Ryd;\pi \rightarrow 3p)$ & &94.4 &7.12 & & &7.14 \\ &$^1A'' [\mathrm{F}] (\mathrm{V};\pi \rightarrow \pis)$ & &87.9 &1.00 & & &1.00 \\ Methanimine &$^1A''(\mathrm{V}; n \rightarrow \pis)$ &0.003 &90.7 &5.23 &{\exCI}/AVTZ & dAVQZ &5.21 \\ &$^3A'' (\mathrm{V}; n \rightarrow \pis)$ & &98.1 &4.65 & & &4.64 \\ Nitrosomethane&$^1A'' (\mathrm{V};n \rightarrow \pis)$ & 0.000 &93.0 &1.96$^a$ & {\exCI}/AVDZ & AVQZ &1.95 \\ &$^1A' (\mathrm{V};n,n \rightarrow \pis,\pis)$ &0.000 &2.5 &\emph{4.72} & {\exCI}/AVTZ & AVQZ & \emph{4.69} \\ &$^1A' (\Ryd;n \rightarrow 3s/3p)$ &0.006 &90.8 &6.40$^a$ &{\exCI}/AVDZ & AVQZ &6.42 \\ &$^3A'' (\mathrm{V};n \rightarrow \pis)$ & &98.4 &1.16 & & &1.16 \\ &$^3A' (\mathrm{V};\pi \rightarrow \pis)$ & &98.9 &5.60 & & &5.61 \\ &$^1A'' [\mathrm{F}] (\mathrm{V};n \rightarrow \pis)$ & &92.7&1.67$^a$ &{\exCI}/AVDZ & AVQZ &1.66 \\ Streptocyanine-C1&$^1B_2 (\mathrm{V};\pi \rightarrow \pis)$ & 0.347 &88.7&7.13$^a$ & {\exCI}/AVDZ & AVQZ &7.12 \\ & $^3B_2 (\mathrm{V};\pi \rightarrow \pis)$ & &98.3 &5.52 & {\exCI}/AVTZ & AVQZ &5.52 \\ Thioformaldehyde&$^1A_2 (\mathrm{V};n \rightarrow \pis)$ & &89.3 &2.22 & {\exCI}/AVTZ & dAVQZ &2.20 \\ &$^1B_2 (\Ryd;n \rightarrow 4s)$ & 0.012 &92.3 &5.96 & & &5.99 \\ &$^1A_1 (\mathrm{V};\pi \rightarrow \pis)$ & 0.178 &90.8 &6.38$^d$ &{\CCSDTQ}/AVDZ& dAVQZ &6.34 \\ &$^3A_2 (\mathrm{V};n \rightarrow \pis)$ & &97.7 &1.94 &{\exCI}/AVTZ & dAVQZ &1.94 \\ &$^3A_1 (\mathrm{V};\pi \rightarrow \pis)$ & &98.9 & 3.43 & & &3.44 \\ &$^3B_2 (\Ryd;n \rightarrow 4s)$ & &97.6 &5.72$^a$ &{\exCI}/AVDZ& dAVQZ &5.76 \\ &$^1A_2 [\mathrm{F}] (\mathrm{V};n \rightarrow \pis)$ & &87.2 &1.95 &{\exCI}/AVTZ & dAVQZ &1.94 \\ Water & $^1B_1 (\Ryd; n \rightarrow 3s)$ & 0.054 &93.4 &7.62 & {\exCI}/AVQZ&dAV5Z &7.70 \\ & $^1A_2 (\Ryd; n \rightarrow 3p)$ & &93.6 &9.41 & & &9.47 \\ & $^1A_1 (\Ryd; n \rightarrow 3s)$ & 0.100 &93.6 &9.99 & & &9.97 \\ & $^3B_1 (\Ryd; n \rightarrow 3s)$ & &98.1 &7.25 & & &7.33 \\ & $^3A_2 (\Ryd; n \rightarrow 3p)$ & &98.0 &9.24 & & &9.30 \\ & $^3A_1 (\Ryd; n \rightarrow 3s)$ & &98.2 &9.54 & & &9.59 \\ \end{tabular}