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耦合簇修正的基组收敛性,δ(MP2)(CCSD(T)):用于基准测试非共价相互作用的最佳实践以及 S22、NBC10、HBC6 和 HSG 数据库的相应修订。

Basis set convergence of the coupled-cluster correction, δ(MP2)(CCSD(T)): best practices for benchmarking non-covalent interactions and the attendant revision of the S22, NBC10, HBC6, and HSG databases.

机构信息

Center for Computational Molecular Science and Technology, School of Chemistry and Biochemistry, Georgia Institute of Technology, Atlanta, Georgia 30332-0400, USA.

出版信息

J Chem Phys. 2011 Nov 21;135(19):194102. doi: 10.1063/1.3659142.

Abstract

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.

摘要

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)。

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