diff --git a/Manuscript/Be.pdf b/Manuscript/Be.pdf index 4451217..6f3da8f 100644 Binary files a/Manuscript/Be.pdf and b/Manuscript/Be.pdf differ diff --git a/Manuscript/CBD_D2h.pdf b/Manuscript/CBD_D2h.pdf index a470ab2..6ce945d 100644 Binary files a/Manuscript/CBD_D2h.pdf and b/Manuscript/CBD_D2h.pdf differ diff --git a/Manuscript/CBD_D4h.pdf b/Manuscript/CBD_D4h.pdf index e12736d..4688666 100644 Binary files a/Manuscript/CBD_D4h.pdf and b/Manuscript/CBD_D4h.pdf differ diff --git a/Manuscript/sfBSE.tex b/Manuscript/sfBSE.tex index 4d42034..66e84c6 100644 --- a/Manuscript/sfBSE.tex +++ b/Manuscript/sfBSE.tex @@ -632,7 +632,7 @@ Finally, both SF-ADC(2)-x and SF-ADC(3) yield excitation energies very close to \label{tab:Be}} \begin{ruledtabular} \begin{tabular}{lcccccccccc} - & \mc{5}{c}{States} \\ + & \mc{5}{c}{Excitation energies (eV)} \\ % & \mc{5}{c}{6-31G} & \mc{5}{c}{aug-cc-pVQZ} \\ \cline{2-6} %\cline{7-11} Method & $^1S(1s^2 2s^2)$ & $^3P(1s^2 2s^1 2p^1)$ & $^1P(1s^2 2s^1 2p^1)$ @@ -645,7 +645,7 @@ Finally, both SF-ADC(2)-x and SF-ADC(3) yield excitation energies very close to SF-TD-BH\&HLYP\fnm[1] & (0.000) & 2.874(1.981) & 4.922(0.023) & 7.112(1.000) & 8.188(0.002) \\ SF-CIS\fnm[2] & (0.002) & 2.111(2.000) & 6.036(0.014) & 7.480(1.000) & 8.945(0.006) \\ SF-BSE@{\GOWO} & (0.004) & 2.399(1.999) & 6.191(0.023) & 7.792(1.000) & 9.373(0.013) \\ - SF-BSE@{\evGW} & (0.004) & 2.407(1.999) & 6.199(0.023) & 7.788(1.000) & 9.388(0.013) \\ +% SF-BSE@{\evGW} & (0.004) & 2.407(1.999) & 6.199(0.023) & 7.788(1.000) & 9.388(0.013) \\ SF-dBSE@{\GOWO} & & 2.363 & 6.263 & 7.824 & 9.424 \\ % SF-dBSE@{\evGW} & & 2.369 & 6.273 & 7.820 & 9.441 \\ SF-ADC(2)-s & & 2.433 & 6.255 & 7.745 & 9.047 \\ @@ -682,7 +682,7 @@ The $\text{X}\,{}^1 \Sigma_g^+$ ground state of \ce{H2} has an electronic config The variation of the excitation energies associated with the three lowest singlet excited states with respect to the elongation of the \ce{H-H} bond are of particular interest here. The lowest singly excited state $\text{B}\,{}^1 \Sigma_u^+$ has a $(1\sigma_g )(1\sigma_u)$ configuration, while the singly excited state $\text{E}\,{}^1 \Sigma_g^+$ and the doubly excited state $\text{F}\,{}^1 \Sigma_g^+$ have $(1\sigma_g ) (2\sigma_g)$ and $(1\sigma_u )(1\sigma_u)$ configurations, respectively. Because these latter two excited states interact strongly and form an avoided crossing around $R(\ce{H-H}) = 1.4$ \AA, they are usually labeled as the $\text{EF}\,{}^1 \Sigma_g^+$ state. -Note that this avoided crossing is not visible with non-spin-flip methods, such as CIS, TD-DFT, and BSE, as these are ``blind'' to double excitations. +Note that this avoided crossing is not visible with non-spin-flip methods restricted to single excitations (such as CIS, TD-DFT, and BSE) as these are ``blind'' to double excitations. Three methods, in their standard and spin-flip versions, are studied here (CIS, TD-BH\&HLYP and BSE) and are compared to the reference EOM-CCSD excitation energies (that is equivalent to FCI in the case of \ce{H2}). All these calculations are performed in the cc-pVQZ basis, and both the spin-conserved and spin-flip calculations are performed with an unrestricted reference. @@ -846,9 +846,9 @@ This project has received funding from the European Research Council (ERC) under %%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\section*{Data availability statement} +%\section*{Data availability statement} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -The data that supports the findings of this study are available within the article and its supplementary material. +%The data that supports the findings of this study are available within the article and its supplementary material. %%%%%%%%%%%%%%%%%%%%%%%% \bibliography{sfBSE}