Department of Chemistry, Washington State University, Pullman, Washington 99164-4630, USA.
J Chem Phys. 2013 Aug 28;139(8):084110. doi: 10.1063/1.4819125.
The effectiveness of the recently developed, explicitly correlated coupled cluster method CCSD(T)-F12b is examined in terms of its ability to reproduce atomization energies derived from complete basis set extrapolations of standard CCSD(T). Most of the standard method findings were obtained with aug-cc-pV7Z or aug-cc-pV8Z basis sets. For a few homonuclear diatomic molecules it was possible to push the basis set to the aug-cc-pV9Z level. F12b calculations were performed with the cc-pVnZ-F12 (n = D, T, Q) basis set sequence and were also extrapolated to the basis set limit using a Schwenke-style, parameterized formula. A systematic bias was observed in the F12b method with the (VTZ-F12/VQZ-F12) basis set combination. This bias resulted in the underestimation of reference values associated with small molecules (valence correlation energies <0.5 E(h)) and an even larger overestimation of atomization energies for bigger systems. Consequently, caution should be exercised in the use of F12b for high accuracy studies. Root mean square and mean absolute deviation error metrics for this basis set combination were comparable to complete basis set values obtained with standard CCSD(T) and the aug-cc-pVDZ through aug-cc-pVQZ basis set sequence. However, the mean signed deviation was an order of magnitude larger. Problems partially due to basis set superposition error were identified with second row compounds which resulted in a weak performance for the smaller VDZ-F12/VTZ-F12 combination of basis sets.
最近开发的、明确相关联的耦合簇方法 CCSD(T)-F12b 的有效性,是通过其在从标准 CCSD(T) 的完全基组外推中得出的原子化能的再现能力来检验的。大多数标准方法的发现都是用 aug-cc-pV7Z 或 aug-cc-pV8Z 基组得到的。对于一些同核双原子分子,有可能将基组推至 aug-cc-pV9Z 水平。F12b 计算是用 cc-pVnZ-F12(n = D, T, Q)基组序列进行的,并使用 Schwenke 风格的参数化公式外推到基组极限。在 F12b 方法中观察到与(VTZ-F12/VQZ-F12)基组组合相关的系统偏差。这种偏差导致对与小分子相关的参考值(价相关能 <0.5 E(h))的低估,以及对更大系统的原子化能的更大高估。因此,在需要高精度研究时,应谨慎使用 F12b。这种基组组合的均方根和平均绝对偏差误差指标与标准 CCSD(T)和从 aug-cc-pVDZ 到 aug-cc-pVQZ 基组序列获得的完全基组值相当。然而,平均符号偏差要大一个数量级。由于与基组超叠误差有关的问题,第二行化合物的性能较弱,这导致较小的 VDZ-F12/VTZ-F12 基组组合的性能较弱。