Chemistry Department, University of Cambridge, Lensfield Road, Cambridge CB2 1EW, United Kingdom.
J Chem Phys. 2011 Jan 14;134(2):024112. doi: 10.1063/1.3525712.
For the atoms with Z ≤ 11, energies obtained using the "initiator" extension to full configuration interaction quantum Monte Carlo (i-FCIQMC) come to within statistical errors of the FCIQMC results. As these FCIQMC values have been shown to converge onto FCI results, the i-FCIQMC method allows similar accuracy to be achieved while significantly reducing the scaling with the size of the Slater determinant space. The i-FCIQMC electron affinities of the Z ≤ 11 atoms in the aug-cc-pVXZ basis sets are presented here. In every case, values are obtained to well within chemical accuracy [the mean absolute deviation (MAD) from the relativistically corrected experimental values is 0.41 mE(h)], and significantly improve on coupled cluster with singles, doubles and perturbative triples [CCSD(T)] results. Since the only remaining source of error is basis set incompleteness, we have investigated using CCSD(T)-F12 contributions to correct the i-FCIQMC results. By doing so, much faster convergence with respect to basis set size may be achieved for both the electron affinities and the FCIQMC ionization potentials presented in a previous paper. With this F12 correction, the MAD can be further reduced to 0.13 mE(h) for the electron affinities and 0.31 mE(h) for the ionization potentials.
对于 Z ≤ 11 的原子,使用全组态相互作用量子蒙特卡罗(i-FCIQMC)的“启动器”扩展获得的能量与 FCIQMC 结果在统计误差范围内相符。由于这些 FCIQMC 值已被证明收敛于 FCI 结果,因此 i-FCIQMC 方法允许在显著降低 Slater 行列式空间大小的情况下实现类似的精度。本文给出了 aug-cc-pVXZ 基组中 Z ≤ 11 原子的 i-FCIQMC 电子亲和能。在每种情况下,都能获得很好的化学精度值[与相对论修正实验值的平均绝对偏差(MAD)为 0.41 mE(h)],并且大大优于单电子、双电子和微扰三电子的耦合簇[CCSD(T)]结果。由于唯一剩余的误差源是基组不完备性,我们研究了使用 CCSD(T)-F12 贡献来修正 i-FCIQMC 结果。通过这样做,可以大大提高电子亲和能和之前一篇论文中呈现的 FCIQMC 电离势相对于基组大小的收敛速度。通过这种 F12 修正,电子亲和能的 MAD 可以进一步降低到 0.13 mE(h),电离势的 MAD 可以降低到 0.31 mE(h)。