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@ -30,7 +30,7 @@ We look forward to hearing from you.
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\noindent \textbf{\large Authors' answer to Reviewer \#1}
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\noindent \textbf{\large Authors' answer to Reviewer \#1}
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{This article presents a survey of spin-flip TD-DFT, spin-flip ADC, multireference (CASSCF and MRPT), and equation-of-motion coupled cluster methods as applied to the automerization and vertical excitation energies of cyclobutadiene (CBD).
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{This article presents a survey of spin-flip TD-DFT, spin-flip ADC, multireference (CASSCF and MRPT), and equation-of-motion coupled cluster methods as applied to the automerization and vertical excitation energies of cyclobutadiene (CBD).
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As the smallest example of anti-aromaticity (and one of the smallest and most interesting exemplars of strong PJT distortion), CBD is an illuminating and challenging test case for these methods. (EOM-)CCSDTQ values, with a “pyramidal” basis set extrapolation scheme are used as the newly-proposed theoretical best estimates, and limited selected full CI (CIPSI) calculations confirm their excellent accuracy.
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As the smallest example of anti-aromaticity (and one of the smallest and most interesting exemplars of strong PJT distortion), CBD is an illuminating and challenging test case for these methods. (EOM-)CCSDTQ values, with a "pyramidal" basis set extrapolation scheme are used as the newly-proposed theoretical best estimates, and limited selected full CI (CIPSI) calculations confirm their excellent accuracy.
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The authors reach some interesting and useful conclusions concerning the tested methods.
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The authors reach some interesting and useful conclusions concerning the tested methods.
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}
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@ -53,7 +53,7 @@ A justification or rationalization would be helpful.
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Also, is it expected that these methods would improve on SF-ADC and/or EOM-CC?}
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Also, is it expected that these methods would improve on SF-ADC and/or EOM-CC?}
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\alert{The authors thanks the reviewer for this comment.
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\alert{The authors thanks the reviewer for this comment.
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Results for SF-EOM-CCSD, SF-EOM-CCSD(dT) and SF-EOM-CCSD(fT) have been added in the manuscript (and in the supporting information) and are discussed in the text.}
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Results for SF-EOM-CCSD, SF-EOM-CCSD(dT) and SF-EOM-CCSD(fT) have been added in the manuscript (and in the supporting information) and are now discussed in the text.}
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{The issue of reference symmetry frame is very important at the D4h geometry.
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{The issue of reference symmetry frame is very important at the D4h geometry.
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@ -79,7 +79,8 @@ The $1 ^1B_{1g}$ ground state is obtained as a singly excited state from that re
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In the other (non-standard) orientation, the lowest $^1A_g$ state correlates with the $1 ^1B_{1g}$ ground state, which in this orientation has a strong double-excitation character.
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In the other (non-standard) orientation, the lowest $^1A_g$ state correlates with the $1 ^1B_{1g}$ ground state, which in this orientation has a strong double-excitation character.
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Then, the $1 ^1 A_{1g}$ excited state has also a strong double-excitation character, while the $1 ^1B_{2g}$ excited state is obtained by one-electron excitation.
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Then, the $1 ^1 A_{1g}$ excited state has also a strong double-excitation character, while the $1 ^1B_{2g}$ excited state is obtained by one-electron excitation.
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Thus, whatever the orientation of the molecule, we will face the same problem for the reference state.
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Thus, whatever the orientation of the molecule, we will face the same problem for the reference state.
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Note that in the case of the SF formalism, these three singlet states should all be described correctly if one takes the $1 ^3A_{2g}$ state as a reference high spin state, whatever the orientation.}
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Note that in the case of the SF formalism, these three singlet states should all be described correctly if one takes the $1 ^3A_{2g}$ state as a reference high spin state, whatever the orientation.
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This interesting comment about standard and non-standard orientations has been added to the supporting information alongside the corresponding figure.}
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\includegraphics[width=\textwidth]{MOs}
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\includegraphics[width=\textwidth]{MOs}
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@ -97,7 +98,7 @@ Thus, the improvement of our results by including all $\sigma_{CC}$ is rather ex
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We believe that the large differences observed between CASPT2 and NEVPT2 for the (4e,4o) active space is a consequence of the small active space.
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We believe that the large differences observed between CASPT2 and NEVPT2 for the (4e,4o) active space is a consequence of the small active space.
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As a matter of fact, when the active space is enlarged, all these issues disappear.
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As a matter of fact, when the active space is enlarged, all these issues disappear.
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Note also that we have minimized the intruder state problem by using an appropriate level shift and that this potential problem is not present at the NEVPT2 level.
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Note also that we have minimized the intruder state problem by using an appropriate level shift and that this potential problem is not present at the NEVPT2 level.
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As suggested by the reviewer, we have now added some results at the MRCI+Q level.
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As suggested by the reviewer, we have now added some results at the MRCI and MRCI+Q levels in the supporting information of the revised manuscript.
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}
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}
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