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%% This BibTeX bibliography file was created using BibDesk.
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%% Created for Pierre-Francois Loos at 2021-02-25 09:23:35 +0100
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%% Created for Pierre-Francois Loos at 2021-02-26 13:14:08 +0100
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@article{Weintraub_2009,
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author = {Weintraub, Elon and Henderson, Thomas M. and Scuseria, Gustavo E.},
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date-added = {2021-02-26 13:13:09 +0100},
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date-modified = {2021-02-26 13:14:08 +0100},
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doi = {10.1021/ct800530u},
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eprint = {https://doi.org/10.1021/ct800530u},
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journal = {J. Chem. Theory Comput.},
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note = {PMID: 26609580},
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number = {4},
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pages = {754-762},
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title = {Long-Range-Corrected Hybrids Based on a New Model Exchange Hole},
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url = {https://doi.org/10.1021/ct800530u},
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volume = {5},
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year = {2009},
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Bdsk-Url-1 = {https://doi.org/10.1021/ct800530u}}
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@article{Chai_2008a,
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author = {Chai, J. D. and Head-Gordon, M.},
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date-added = {2021-02-25 09:23:14 +0100},
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@ -761,8 +761,8 @@ Finally, the infinitesimal $\eta$ is set to $100$ meV for all calculations.
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All the static and dynamic BSE calculations (labeled in the following as SF-BSE and SF-dBSE respectively) are performed with the software \texttt{QuAcK}, \cite{QuAcK} developed in our group and freely available on \texttt{github}.
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The standard and extended spin-flip ADC(2) calculations [SF-ADC(2)-s and SF-ADC(2)-x, respectively] as well as the SF-ADC(3) \cite{Lefrancois_2015} are performed with Q-CHEM 5.2.1. \cite{qchem4}
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Spin-flip TD-DFT calculations \cite{Shao_2003} (also performed with Q-CHEM 5.2.1) considering the BLYP, \cite{Becke_1988,Lee_1988} B3LYP, \cite{Becke_1988,Lee_1988,Becke_1993a} and BH\&HLYP \cite{Lee_1988,Becke_1993b} functionals with contains $0\%$, $20\%$, and $50\%$ of exact exchange are labeled as SF-TD-BLYP, SF-TD-B3LYP, and SF-TD-BH\&HLYP, respectively.
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\alert{Additionally, we have performed spin-flip TD-DFT calculations considering the following the range-separated hybrid (RSH) functionals: CAM-B3LYP, \cite{Yanai_2004} LC-$\omega$HPBE, \cite{Henderson_2009} and $\omega$B97X-D. \cite{Chai_2008a,Chai_2008b}
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In the present context, the main difference between these RSHs is their amount of exact exchange at long range: 75\% for CAM-B3LYP and 100\% for both LC-$\omega$HPBE and $\omega$B97X-D.}
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\alert{Additionally, we have performed spin-flip TD-DFT calculations considering the following the range-separated hybrid (RSH) functionals: CAM-B3LYP, \cite{Yanai_2004} LC-$\omega$PBE08, \cite{Weintraub_2009} and $\omega$B97X-D. \cite{Chai_2008a,Chai_2008b}
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In the present context, the main difference between these RSHs is their amount of exact exchange at long range: 75\% for CAM-B3LYP and 100\% for both LC-$\omega$PBE08 and $\omega$B97X-D.}
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EOM-CCSD excitation energies \cite{Koch_1990,Stanton_1993,Koch_1994} are computed with Gaussian 09. \cite{g09}
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As a consistency check, we systematically perform SF-CIS calculations \cite{Krylov_2001a} with both \texttt{QuAcK} and Q-CHEM, and make sure that they yield identical excitation energies.
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Throughout this work, all spin-flip and spin-conserved calculations are performed with a UHF reference.
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@ -43,7 +43,7 @@ I recommend this manuscript for publication after the minor points addressed:}
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These results have been added to the corresponding Tables and Figures.
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In the case of \ce{H2}, we have chosen to add some of the graphs to the supporting information instead for the sake of clarity.
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In a nutshell, CAM-B3LYP does not really improved things and is less reliable than BH\&HLYP.
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Note that CAM-B3LYP only has 75\% exact exchange at long range while LC-$\omega$HPBE and $\omega$B97X-D have 100\% of HF exact exchange at longe range.
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Note that CAM-B3LYP only has 75\% exact exchange at long range while LC-$\omega$PBE08 and $\omega$B97X-D have 100\% of HF exact exchange at longe range.
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All these results are discussed in the revised version of the manuscript.}
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\item
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@ -75,15 +75,12 @@ I recommend this manuscript for publication after the minor points addressed:}
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\alert{The kink in the SF-BSE@$G_0W_0$ and SF-dBSE/$G_0W_0$ curves for \ce{H2} are due to the appearance of the symmetry-broken UHF solution.
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Indeed, $R = 1.2~\AA$ corresponds to the location of the well-known Coulson-Fischer point.
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Note that, as mentioned in our manuscript, all the calculations are performed with a UHF reference (even the ones based on a closed-shell singlet reference).
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Of course, if one relies solely on the RHF solution, this kink disappears as illustrated by the figure below which has been also included in the Supporting Information.
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Of course, if one relies solely on the RHF solution, this kink disappears as illustrated by the new figure that we have included in the Supporting Information.
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The appearance of this kink is now discussed in the revised version of the manuscript.
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At the ev$GW$ level, this kink would certainly still exist as one does not self-consistently optimise the orbitals in this case.
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However, it would likely disappear at the qs$GW$ level but it remains to be confirmed (work is currently being done in this direction).
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Unfortunately, it is extremely tedious to converge (partially) self-consistent $GW$ calculations with such large basis set (cc-pVQZ) for reasons discussed elsewhere [see, for example, V\'eril et al. JCTC 14, 5220 (2018)].}
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\\
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\begin{center}
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\includegraphics[width=0.5\textwidth]{SF-BSE-RHF}
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\end{center}
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\end{itemize}
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