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arXiv physics/0311067physics.chem-phphysics.comp-ph
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W3理论:在kJ/mol精度范围内的稳健计算热化学

W3 theory: robust computational thermochemistry in the kJ/mol accuracy range

A. Daniel Boese, Mikhal Oren, Onur Atasoylu, Jan M. L. Martin, Mihaly Kallay, Juergen Gauss

摘要:

我们提出了一种新的计算热化学协议,称为W3理论,作为先前提出的W1和W2理论的继承者[Martin和De Oliveira,J. Chem. Phys. 111,1843(1999)]。新的方法是更准确的整体(总原子化能量的误差统计约减半)和更强大的(特别是对系统表现出显着的非动力学相关性)比W2理论。主要的改进在于对CCSD(T)后相关效应的近似解释。迭代T_3(连通三重激发)效应表现出与T_3贡献总体相似的基组收敛行为。它们几乎普遍地降低分子结合能。将它们孤立地包括在内,几乎在所有方面都比CCSD(T)的结果要差:只有当包括T_4(连接四重激励)效应时,才能获得更好的性能。$T_4$效应系统地增加分子结合能。它们的基组收敛相当快,即使CCSDTQ/cc-pVDZ按经验因子1.2532缩放也会产生相当可观的四重贡献。更高阶激发的效应在一部分分子(特别是八价电子系统)中得到了测量:对于C_2的病理性多参考态X^1 → ^+_g,T_5(连接的五重激发)贡献达到0.3 kcal/mol,但对于其他系统则很小。人们探索了各种途径来实现W3理论之外的准确性,但都没有取得显著的效果。因此,对于那些寻求在kJ/mol精度范围内对小系统进行计算热化学的稳健方法的人来说,W3似乎代表了精度和计算成本之间的良好折衷。

英文摘要:

We are proposing a new computational thermochemistry protocol denoted W3 theory, as a successor to W1 and W2 theory proposed earlier [Martin and De Oliveira, J. Chem. Phys. 111, 1843 (1999)]. The new method is both more accurate overall (error statistics for total atomization energies approximately cut in half) and more robust (particularly towards systems exhibiting significant nondynamical correlation) than W2 theory. The cardinal improvement rests in an approximate account for post-CCSD(T) correlation effects. Iterative T_3 (connected triple excitations) effects exhibit a basis set convergence behavior similar to the T_3 contribution overall. They almost universally decrease molecular binding energies. Their inclusion in isolation yields less accurate results than CCSD(T) nearly across the board: it is only when T_4 (connected quadruple excitations) effects are included that superior performance is achieved. $T_4$ effects systematically increase molecular binding energies. Their basis set convergence is quite rapid, and even CCSDTQ/cc-pVDZ scaled by an empirical factor of 1.2532 will yield a quite passable quadruples contribution. The effect of still higher-order excitations was gauged for a subset of molecules (notably the eight-valence electron systems): T_5 (connected quintuple excitations) contributions reach 0.3 kcal/mol for the pathologically multireference X ^1Σ^+_g state of C_2 but are quite small for other systems. A variety of avenues for achieving accuracy beyond that of W3 theory were explored, to no significant avail. W3 thus appears to represent a good compromise between accuracy and computational cost for those seeking a robust method for computational thermochemistry in the kJ/mol accuracy range on small systems.

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