论文标题

基于规范和DLPNO的G4(MP2)XK启发的复合波函数方法针对大型和化学多样的训练集进行了参数:它们是否比双重混合DFT更准确和/或健壮?

Canonical and DLPNO-based G4(MP2)XK-inspired composite wavefunction methods parametrized against large and chemically diverse training sets: Are they more accurate and/or robust than double hybrid DFT?

论文作者

Semidalas, Emmanouil, Martin, Jan M. L.

论文摘要

大型且化学多样的GMTKN55基准用作类似于G4(MP2)XK理论的参数化复合波函数热化学方案的训练集(Chan等,JCTC 2019,15,4478-4484)。即使在重新训练之后,G4(MP2)-XK的GMTKN55 WTMAD2(加权平均绝对偏差,类型2)实际上不如最好的Rung-4 DFT功能,WB97M-V。通过将MP2零件的基础设置增加到DEF2-QZVPPD,我们能够以适度的成本(如果进行RI-MP2近似)来实质上提高性能,并且该G4(MP2)-XK-D方法现在与较高的Rung-5功能(以更高的成本)相当。然而,具有缩放MP3/DEF2-TZVPP中间步骤的三层方法导致G4(MP3)-D方法显着优于最佳的双杂交WB97M(2)和RevDSD-PBBEP86-D4。评估具有三重率的CCSD(t)组件,而不是分裂价,基本集仅产生一个适度的进一步改进,这与计算成本的急剧增加是不相同的。 G4(MP3)-D和G4(MP2)-XK-D的WTMAD2分别比其对应的G4和G4(MP2)的WTMAD2高约40%:详细的比较表明,由于基础设置的不完整不完全误差,其差异在于较大的分子。 E2/ {T,Q}外推和CCSD(T)/ DEF2-TZVP步骤提供了高精度的G4-T方法,并且仅具有三个拟合参数。在MP2中使用KS轨道会导致G4(mp3 | ks)-d方法,该方法完全消除了CCSD(T)步骤,并且没有比缩放MP3的步骤更昂贵。这显示了一个前进的路径,以进一步改善双杂交密度功能方法。 G4-T-DLPNO是一种在DLPNO-CCSD(T)水平上评估MP2后校正的变体,几乎达到了G4-T的准确性,但适用于更大的系统。

The large and chemically diverse GMTKN55 benchmark was used as a training set for parametrizing composite wave function thermochemistry protocols akin to G4(MP2)XK theory (Chan et al, JCTC 2019, 15, 4478-4484). Even after reparametrization, the GMTKN55 WTMAD2 (weighted mean absolute deviation, type 2) for G4(MP2)-XK is actually inferior to that of the best rung-4 DFT functional, wB97M-V. By increasing the basis set for the MP2 part to def2-QZVPPD, we were able to substantially improve performance at modest cost (if an RI-MP2 approximation is made), with WTMAD2 for this G4(MP2)-XK-D method now comparable to the better rung-5 functionals (albeit at greater cost). A three-tier approach with a scaled MP3/def2-TZVPP intermediate step, however, leads to a G4(MP3)-D method that is markedly superior to even the best double hybrids wB97M(2) and revDSD-PBEP86-D4. Evaluating the CCSD(T) component with a triple-zeta, rather than split-valence, basis set yields only a modest further improvement that is incommensurate with the drastic increase in computational cost. G4(MP3)-D and G4(MP2)- XK-D have about 40% better WTMAD2, at similar or lower computational cost, than their counterparts G4 and G4(MP2), respectively: detailed comparison reveals that the difference lies in larger molecules due to basis set incompleteness error. An E2/ {T,Q} extrapolation and a CCSD(T)/def2-TZVP step provided the G4-T method of high accuracy and with just three fitted parameters. Using KS orbitals in MP2 leads to the G4(MP3|KS)-D method, which entirely eliminates the CCSD(T) step and has no steps costlier than scaled MP3; this shows a path forward to further improvements in double-hybrid density functional methods. G4-T-DLPNO, a variant in which post-MP2 corrections are evaluated at the DLPNO- CCSD(T) level, achieves nearly the accuracy of G4-T but is applicable to much larger systems.

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