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Add double TBE example to documentation
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docs/example-double-tbe.tex
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docs/example-double-tbe.tex
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\newcommand{\Pop}{6-31+G(d)}
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\newcommand{\AVDZ}{aug-cc-pVDZ}
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\newcommand{\AVTZ}{aug-cc-pVTZ}
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\newcommand{\DAVTZ}{d-aug-cc-pVTZ}
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\newcommand{\AVQZ}{aug-cc-pVQZ}
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\newcommand{\DAVQZ}{d-aug-cc-pVQZ}
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\newcommand{\TAVQZ}{t-aug-cc-pVQZ}
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\newcommand{\AVFZ}{aug-cc-pV5Z}
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\newcommand{\DAVFZ}{d-aug-cc-pV5Z}
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\newcommand{\ra}{\rightarrow}
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\newcommand{\pis}{\pi^\star}
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\newcommand{\si}{\sigma}
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\newcommand{\sis}{\sigma^\star}
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\newcommand{\nO}{n_\text{O}}
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\newcommand{\nN}{n_\text{N}}
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\begin{tabular}
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Molecule & Transition & \multicolumn{2}{c}{Reference} & \multicolumn{2}{c}{Correction} & \multicolumnc{TBE} \\
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& & Level R/SB & $\Delta E_\text{R/SB}$
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& Level C/LB & $\Delta E_\text{C/LB} - \Delta E_\text{C/SB}$ &\\
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Acrolein & $1\,^1A^\prime \ra 3\,^1A^\prime$ & exFCI/6-31+G(d) & 8.00 & CC3/AVTZ & -0.13 & 7.87 \\
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Benzene & $1\,^1A_{1g} \ra 1\,^1E_{2g}$ & exFCI/6-31+G(d) & 8.40 & CC3/AVTZ & -0.12 & 8.28 \\
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& $1\,^1A_{1g} \ra 2\,^1A_{1g}$ & XMS-CASPT2/AVQZ & 10.54 & \cdash & \cdash & 10.54 \\
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Beryllium & $1\,^1S \ra 1\,^1D$ & Ref.~\onlinecite{Galvez_2002} & 7.06 & \cdash & \cdash & 7.06 \\
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Butadiene & $1\,^1A_g \ra 2\,^1A_g$ & exFCI/AVDZ & 6.51 & CC3/AVQZ & -0.01 & 6.50 \\
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Carbon dimer & $1\,^1\Sigma_g^+ \ra 1\,^1\Delta_g$ & exFCI/AVQZ & 2.06 & \cdash & \cdash & 2.06 \\
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& $1\,^1\Sigma_g^+ \ra 2\,^1\Sigma_g^+$ & exFCI/AVQZ & 2.40 & \cdash & \cdash & 2.40 \\
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Carbon trimer & $1\,^1\Sigma_g^+ \ra 1\,^1\Delta_g$ & exFCI/AVQZ & 5.23 & \cdash & \cdash & 5.23 \\
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& $1\,^1\Sigma_g^+ \ra 2\,^1\Sigma_g^+$ & exFCI/AVQZ & 5.86 & \cdash & \cdash & 5.86 \\
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Ethylene & $1\,^1A_g \ra 2\,^1A_g$ & exFCI/AVTZ & 12.92 & CC3/AVQZ & -0.36 & 12.56 \\
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Formaldehyde & $1\,^1A_1 \ra 3\,^1A_1$ & exFCI/AVTZ & 10.35 & CC3/AVQZ & -0.01 & 10.34 \\
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Glyoxal & $1\,^1A_g \ra 2\,^1A_g$ & exFCI/AVDZ & 5.48 & CC3/AVQZ & +0.06 & 5.54 \\
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Hexatriene & $1\,^1A_g \ra 2\,^1A_g$ & CC3/AVDZ & 5.77 & PC-NEVPT2/AVQZ & -0.02 & 5.75 \\
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Nitrosomethane & $1\,^1A^\prime \ra 2\,^1A^\prime$ & exFCI/AVTZ & 4.76 & CC3/AVQZ & -0.02 & 4.74 \\
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Nitroxyl & $1\,^1A^\prime \ra 2\,^1A^\prime$ & exFCI/AVQZ & 4.32 & \cdash & \cdash & 4.32 \\
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Pyrazine & $1\,^1A_g \ra 2\,^1A_g$ & PC-NEVPT2/AVQZ & 8.04 & \cdash & \cdash & 8.04 \\
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& $1\,^1A_g \ra 3\,^1A_g$ & CC3/AVTZ & 8.69 & PC-NEVPT2/AVQZ & +0.00 & 8.69 \\
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Tetrazine & $1\,^1A_g \ra 2\,^1A_g$ & PC-NEVPT2/AVQZ & 4.60 & \cdash & \cdash & 4.60 \\
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& $1\,^1A_g \ra 1\,^1B_{3g}$ & PC-NEVPT2/AVQZ & 6.14 & \cdash & \cdash & 6.14 \\
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& $1\,^1A_g \ra 1\,^3B_{3g}$ & PC-NEVPT2/AVQZ & 5.51 & \cdash & \cdash & 5.51 \\
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\end{tabular}
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