Center for Computational Molecular Science and Technology, School of Chemistry and Biochemistry, Georgia Institute of Technology, Atlanta, Georgia 30332-0400, USA.
J Chem Phys. 2011 Nov 21;135(19):194102. doi: 10.1063/1.3659142.
In benchmark-quality studies of non-covalent interactions, it is common to estimate interaction energies at the complete basis set (CBS) coupled-cluster through perturbative triples [CCSD(T)] level of theory by adding to CBS second-order perturbation theory (MP2) a "coupled-cluster correction," δ(MP2)(CCSD(T)), evaluated in a modest basis set. This work illustrates that commonly used basis sets such as 6-31G*(0.25) can yield large, even wrongly signed, errors for δ(MP2)(CCSD(T)) that vary significantly by binding motif. Double-ζ basis sets show more reliable results when used with explicitly correlated methods to form a δ(MP2-F12)(CCSD(T(*))-F12) correction, yielding a mean absolute deviation of 0.11 kcal mol(-1) for the S22 test set. Examining the coupled-cluster correction for basis sets up to sextuple-ζ in quality reveals that δ(MP2)(CCSD(T)) converges monotonically only beyond a turning point at triple-ζ or quadruple-ζ quality. In consequence, CBS extrapolation of δ(MP2)(CCSD(T)) corrections before the turning point, generally CBS (aug-cc-pVDZ,aug-cc-pVTZ), are found to be unreliable and often inferior to aug-cc-pVTZ alone, especially for hydrogen-bonding systems. Using the findings of this paper, we revise some recent benchmarks for non-covalent interactions, namely the S22, NBC10, HBC6, and HSG test sets. The maximum differences in the revised benchmarks are 0.080, 0.060, 0.257, and 0.102 kcal mol(-1), respectively.
在非共价相互作用的基准质量研究中,通常通过在完全基组(CBS)耦合簇通过微扰三推(CCSD(T))理论水平上添加 CBS 二阶微扰理论(MP2)“耦合簇校正”,δ(MP2)(CCSD(T)),在适度的基组中评估。这项工作表明,通常使用的基组,如 6-31G*(0.25),对于δ(MP2)(CCSD(T))会产生大的,甚至错误的符号,并且根据结合模式而有很大差异。当使用显式相关方法形成δ(MP2-F12)(CCSD(T(*))-F12)校正时,双 ζ 基组显示出更可靠的结果,对 S22 测试集的平均绝对偏差为 0.11 kcal mol(-1)。检查基组的耦合簇校正高达六重 ζ 质量,表明仅在三重 ζ 或四重 ζ 质量的转折点之后,δ(MP2)(CCSD(T))才单调收敛。因此,在转折点之前,CBS 外推 δ(MP2)(CCSD(T))校正,通常 CBS(aug-cc-pVDZ,aug-cc-pVTZ),被发现是不可靠的,并且通常不如单独使用 aug-cc-pVTZ 好,特别是对于氢键系统。使用本文的研究结果,我们修订了一些最近的非共价相互作用基准,即 S22、NBC10、HBC6 和 HSG 测试集。修订后的基准中的最大差异分别为 0.080、0.060、0.257 和 0.102 kcal mol(-1)。