diff --git a/Manuscript/sup-CBD.tex b/Manuscript/sup-CBD.tex index 9076a6c..1b6b720 100644 --- a/Manuscript/sup-CBD.tex +++ b/Manuscript/sup-CBD.tex @@ -182,7 +182,7 @@ Thus, whatever the orientation of the molecule, we will face the same problem fo 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. \begin{figure} - \includegraphics[width=\textwidth]{figs1} +% \includegraphics[width=\textwidth]{figs1} \caption{Standard vs non-standard orientations.} \label{fig:sym} \end{figure} diff --git a/Notebooks/CBD_graphs.nb b/Notebooks/CBD_graphs.nb new file mode 100644 index 0000000..6a89042 --- /dev/null +++ b/Notebooks/CBD_graphs.nb @@ -0,0 +1,24279 @@ +(* Content-type: application/vnd.wolfram.mathematica *) + +(*** Wolfram Notebook File ***) +(* http://www.wolfram.com/nb *) + +(* CreatedBy='Mathematica 12.1' *) + +(*CacheID: 234*) +(* Internal 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$3.343$ & $4.067$ \\\\ +$\\text{CC4}$ & $\\text{aug-cc-pVDZ}$ & $\\text{}$ & $3.164$ & $4.041$ \\\\ +$\\text{CCSDTQ}$ & $\\text{6-31+G(d)}$ & $\\text{}$ & $3.34$ & $4.073$ \\\\ +$\\text{SA2-CASSCF(4,4)}$ & $\\text{6-31+G(d)}$ & $1.662$ & $4.657$ & $4.439$ \ +\\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $1.672$ & $4.563$ & $4.448$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $1.67$ & $4.546$ & $4.441$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVQZ}$ & $1.671$ & $4.549$ & $4.44$ \\\\ +$\\text{CASPT2(4,4)}$ & $\\text{6-31+G(d)}$ & $1.44$ & $3.162$ & $4.115$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $1.414$ & $2.971$ & $4.068$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $1.412$ & $2.923$ & $4.072$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVQZ}$ & $1.417$ & $2.911$ & $4.081$ \\\\ +$\\text{XMS-CASPT2(4,4)}$ & $\\text{6-31+G(d)}$ & $\\text{}$ & $\\text{}$ & \ +$4.151$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $\\text{}$ & $\\text{}$ & $4.105$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $\\text{}$ & $\\text{}$ & $4.114$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVQZ}$ & $\\text{}$ & $\\text{}$ & $4.125$ \\\\ +$\\text{SC-NEVPT2(4,4)}$ & $\\text{6-31+G(d)}$ & $1.407$ & $2.707$ & $4.145$ \ +\\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $1.381$ & $2.479$ & $4.109$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $1.379$ & $2.422$ & $4.108$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVQZ}$ & $1.384$ & $2.408$ & $4.125$ \\\\ +$\\text{PC-NEVPT2(4,4)}$ & $\\text{6-31+G(d)}$ & $1.409$ & $2.652$ & $4.12$ \ +\\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $1.384$ & $2.424$ & $4.084$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $1.382$ & $2.368$ & $4.083$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVQZ}$ & $1.387$ & $2.353$ & $4.091$ \\\\ +$\\text{MRCI(4,4)}$ & $\\text{6-31+G(d)}$ & $1.564$ & $3.802$ & $4.265$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $1.558$ & $3.67$ & $4.254$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $1.568$ & $3.678$ & $4.27$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVQZ}$ & $1.574$ & $3.681$ & $4.28$ \\\\ +$\\text{SA2-CASSCF(12,12)}$ & $\\text{6-31+G(d)}$ & $1.675$ & $3.924$ & \ +$4.22$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $1.685$ & $3.856$ & $4.221$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $1.686$ & $3.844$ & $4.217$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVQZ}$ & $1.687$ & $3.846$ & $4.216$ \\\\ +$\\text{CASPT2(12,12)}$ & $\\text{6-31+G(d)}$ & $1.508$ & $3.407$ & $4.099$ \ +\\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $1.489$ & $3.256$ & $4.044$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $1.48$ & $3.183$ & $4.043$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVQZ}$ & $1.482$ & $3.163$ & $4.047$ \\\\ +$\\text{XMS-CASPT2(12,12)}$ & $\\text{6-31+G(d)}$ & $\\text{}$ & $\\text{}$ & \ +$4.111$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $\\text{}$ & $\\text{}$ & $4.056$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $\\text{}$ & $\\text{}$ & $4.059$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVQZ}$ & $\\text{}$ & $\\text{}$ & $4.065$ \\\\ +$\\text{SC-NEVPT2(12,12)}$ & $\\text{6-31+G(d)}$ & $1.522$ & $3.409$ & $4.13$ \ +\\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $1.511$ & $3.266$ & $4.093$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $1.501$ & $3.188$ & $4.086$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVQZ}$ & $1.503$ & $3.167$ & $4.088$ \\\\ +$\\text{PC-NEVPT2(12,12)}$ & $\\text{6-31+G(d)}$ & $1.487$ & $3.296$ & \ +$4.103$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $1.472$ & $3.141$ & $4.064$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $1.462$ & $3.063$ & $4.056$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVQZ}$ & $1.464$ & $3.043$ & $4.059$ \\\\ +$\\text{MRCI(12,12)}$ & $\\text{6-31+G(d)}$ & $\\text{}$ & $\\text{}$ & \ +$4.125$ \\\\ +$\\text{CIPSI}$ & $\\text{6-31+G(d)}$ & $1.486\\pm 0.005$ & $3.348\\pm 0.024$ \ +& $4.084\\pm 0.012$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $1.458\\pm 0.009$ & $3.187\\pm 0.035$ & \ +$4.04\\pm 0.04$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $1.461\\pm 0.030$ & $3.142\\pm 0.035$ & \ +$4.03\\pm 0.09$ \\\\ +\\end{tabular}\ +\>", "Print", + 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$\\text{aug-cc-pVQZ}$ & $1.6818$ & $2.2962$ & $4.0788$ \\\\ +$\\text{SF-TD-BHHLYP}$ & $\\text{6-31+G(d)}$ & $1.5521$ & $2.7791$ & $4.4283$ \ +\\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $1.5465$ & $2.7435$ & $4.4217$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $1.5402$ & $2.7317$ & $4.4925$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVQZ}$ & $1.54$ & $2.7322$ & $4.4149$ \\\\ +$\\text{SF-TD-M06-2X}$ & $\\text{6-31+G(d)}$ & $1.4771$ & $2.8352$ & $4.3781$ \ +\\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $1.4669$ & $2.7847$ & $4.3596$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $1.4617$ & $2.7709$ & $4.357$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVQZ}$ & $1.4582$ & $2.7706$ & $4.3521$ \\\\ +$\\text{SF-TD-CAM-B3LYP}$ & $\\text{6-31+G(d)}$ & $1.7499$ & $2.3365$ & \ +$3.3148$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $1.7447$ & $2.3227$ & $4.1403$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $1.7425$ & $2.3182$ & $4.1379$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVQZ}$ & $1.7426$ & $2.3185$ & $4.1383$ \\\\ +$\\text{SF-TD-$\\omega $B97X-V}$ & $\\text{6-31+G(d)}$ & $1.8105$ & $2.3768$ \ +& $4.2199$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $1.7998$ & $2.3559$ & $4.2166$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $1.7968$ & $2.3511$ & $4.2128$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVQZ}$ & $1.7968$ & $2.3513$ & $4.2129$ \\\\ +$\\text{SF-TD-M11}$ & $\\text{6-31+G(d)}$ & $1.5663$ & $2.6868$ & $4.2919$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $1.5458$ & $2.64$ & $4.2672$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $1.5591$ & $2.651$ & $4.3001$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVQZ}$ & $1.5572$ & $2.6501$ & $4.2986$ \\\\ +$\\text{SF-TD-LC-$\\omega $PBE08}$ & $\\text{6-31+G(d)}$ & $1.9173$ & \ +$2.4452$ & $4.3528$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $1.897$ & $2.4147$ & $4.3455$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $1.8967$ & $2.4145$ & $4.3479$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVQZ}$ & $1.8966$ & $2.4145$ & $4.3478$ \\\\ +$\\text{SF-TD-B2PLYP}$ & $\\text{6-31+G(d)}$ & $1.5375$ & $2.827$ & $4.462$ \ +\\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $1.5313$ & $2.788$ & $4.4554$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $1.5246$ & $2.7759$ & $4.4482$ \\\\ +$\\text{SF-ADC(2)-s}$ & $\\text{6-31+G(d)}$ & $1.57741$ & $3.30337$ & \ +$4.19624$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $1.51278$ & $3.11616$ & $\\text{Null}$ \ +\\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $1.53065$ & $3.09867$ & $4.13071$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVQZ}$ & $1.54383$ & $3.10056$ & $4.14023$ \\\\ +$\\text{SF-ADC(2)-x}$ & $\\text{6-31+G(d)}$ & $1.55745$ & $3.23201$ & \ +$3.72754$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $1.52387$ & $3.03924$ & $3.6806$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $1.53938$ & $3.03131$ & $3.70335$ \\\\ +$\\text{SF-ADC(3)}$ & $\\text{6-31+G(d)}$ & $1.4349$ & $3.3515$ & $4.24231$ \ +\\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $1.42183$ & $3.17961$ & $4.20806$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $1.41885$ & $3.16193$ & $4.22351$ \\\\ 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$\\text{aug-cc-pVDZ}$ & $0.1$ & $1.65$ & $\\text{}$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $0.085$ & $1.6$ & $\\text{}$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVQZ}$ & $0.084$ & $1.588$ & $\\text{}$ \\\\ +$\\text{CC3}$ & $\\text{6-31+G(d)}$ & $\\text{}$ & $1.809$ & $2.836$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $\\text{}$ & $1.695$ & $2.646$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $\\text{}$ & $1.662$ & $2.72$ \\\\ +$\\text{CCSDT}$ & $\\text{6-31+G(d)}$ & $0.21$ & $1.751$ & $2.565$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $0.165$ & $1.659$ & $2.45$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $0.149$ & $1.631$ & $2.537$ \\\\ +$\\text{CC4}$ & $\\text{6-31+G(d)}$ & $\\text{}$ & $1.604$ & $2.121$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $\\text{}$ & $1.539$ & $1.934$ \\\\ +$\\text{CCSDTQ}$ & $\\text{6-31+G(d)}$ & $0.205$ & $1.593$ & $2.134$ \\\\ +$\\text{SA2-CASSCF(4,4)}$ & $\\text{6-31+G(d)}$ & $0.447$ & $2.257$ & $3.549$ \ +\\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $0.438$ & 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$0.533$ \\\\ +$\\text{SF-TD-PBE0}$ & $\\text{6-31+G(d)}$ & $-0.012$ & $0.618$ & $0.689$ \ +\\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $-0.016$ & $0.602$ & $0.680$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $-0.019$ & $0.597$ & $0.677$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVQZ}$ & $-0.018$ & $0.597$ & $0.677$ \\\\ +$\\text{SF-TD-BHHLYP}$ & $\\text{6-31+G(d)}$ & $0.064$ & $1.305$ & $1.458$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $0.051$ & $1.260$ & $1.437$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $0.045$ & $1.249$ & $1.431$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVQZ}$ & $0.046$ & $1.250$ & $1.432$ \\\\ +$\\text{SF-TD-M06-2X}$ & $\\text{6-31+G(d)}$ & $0.102$ & $1.476$ & $1.640$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $0.086$ & $1.419$ & $1.611$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $0.078$ & $1.403$ & $1.602$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVQZ}$ & $0.079$ & $1.408$ & $1.607$ \\\\ +$\\text{SF-TD-CAM-B3LYP}$ & $\\text{6-31+G(d)}$ & $0.021$ & $0.603$ & $0.672$ \ +\\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $0.012$ & $0.585$ & $0.666$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $0.010$ & $0.580$ & $0.664$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVQZ}$ & $0.010$ & $0.580$ & $0.664$ \\\\ +$\\text{SF-TD-$\\omega $B97X-V}$ & $\\text{6-31+G(d)}$ & $0.040$ & $0.600$ & \ +$0.670$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $0.029$ & $0.576$ & $0.664$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $0.026$ & $0.572$ & $0.662$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVQZ}$ & $0.026$ & $0.572$ & $0.662$ \\\\ +$\\text{SF-TD-M11}$ & $\\text{6-31+G(d)}$ & $0.102$ & $1.236$ & $1.374$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $0.087$ & $1.196$ & $1.362$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ & $0.081$ & $1.188$ & $1.359$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVQZ}$ & $0.080$ & $1.185$ & $1.357$ \\\\ +$\\text{SF-TD-LC-$\\omega $PBE08}$ & $\\text{6-31+G(d)}$ & $0.078$ & $0.593$ \ +& $0.663$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVDZ}$ & $0.060$ & $0.563$ & $0.659$ \\\\ +$\\text{}$ & $\\text{aug-cc-pVTZ}$ 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