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关于CuCl₂光谱的从头算研究。I. X²Πg - 2Σg⁺跃迁的基准计算。

Ab initio study on the spectroscopy of CuCl2. I. Benchmark calculations on the X2Pig - 2Sigmag+ transition.

作者信息

Ramirez-Solis A, Daudey J P

机构信息

Departamento de Fisica, Facultad de Ciencias, Universidad Autonoma del Estado de Morelos, Cuernavaca, Morelos, 62210 Mexico.

出版信息

J Chem Phys. 2004 Feb 15;120(7):3221-8. doi: 10.1063/1.1640992.

Abstract

The modern theoretical predictions on the LambdaSSigma nature of the ground state of CuCl2 have led to different answers, depending on the type (DFT-based or ab initio) and the quality of the electronic correlation treatment; for this reason the X2Pig - 2Sigmag+ transition energy has been predicted to range from -1856 to +5887 cm(-1). The physical problem at hand lies in the difficulty of accurately describing the orientation of the 3d hole on the central Cu2+(3d9)/Cu+(3d94s1) ion (in the field of both chlorine ions), which implies the need of the most sophisticated nondynamic and dynamic electronic correlation treatments. We report here ab initio benchmark calculations using especially developed basis sets to study, at the CASSCF + CASPT2 and CASSCF + ACPF levels, the transition energy as well as the corresponding equilibrium geometries. The spin-orbit (SO) effects of both atoms were included in a second step through the effective Hamiltonian formalism, using the calibrated SO effective potentials developed by the Stuttgart group. Without SO at the CASSCF + ACPF level, the ground state is X2Pig but the vertical transition energy to the 2Sigmag+ is only 99 cm(-1) at 3.95 a.u. The inclusion of the SO effects leads to a Omega = 1/2 (59% 2Pig,41% 2Sigmag+) ground state, in contradiction with the Omega experimental value of 3/2. In a last step we show that the SO effects (and therefore the final Omega ordering) are critically dependent on the LambdaSSigma electronic energies, so that it is not impossible that the Omega ordering is actually changed. For theoreticians interest in this matter is not purely academic, since many properties of organometallic complexes are linked to such delicate physical effects.

摘要

关于CuCl₂基态的ΛSSigma性质的现代理论预测得出了不同的答案,这取决于类型(基于密度泛函理论或从头算)以及电子关联处理的质量;因此,X²Πg - 2Σg⁺跃迁能量的预测范围为-1856至+5887 cm⁻¹。当前的物理问题在于难以准确描述中心Cu²⁺(3d⁹)/Cu⁺(3d⁹4s¹)离子上3d空穴的取向(在两个氯离子的场中),这意味着需要最复杂的非动态和动态电子关联处理。我们在此报告使用特别开发的基组进行的从头算基准计算,以在CASSCF + CASPT2和CASSCF + ACPF水平上研究跃迁能量以及相应的平衡几何结构。通过有效哈密顿形式,在第二步中使用斯图加特小组开发的校准自旋 - 轨道(SO)有效势,纳入了两个原子的自旋 - 轨道(SO)效应。在CASSCF + ACPF水平下不考虑SO时,基态为X²Πg,但在3.95 a.u.时到2Σg⁺的垂直跃迁能量仅为99 cm⁻¹。纳入SO效应会导致Ω = 1/2(59% 2Πg,41% 2Σg⁺)的基态,这与实验值Ω = 3/2相矛盾。在最后一步中,我们表明SO效应(因此最终的Ω排序)严重依赖于ΛSSigma电子能量,所以Ω排序实际上发生变化并非不可能。对于理论家来说,对这个问题的兴趣并非纯粹出于学术原因,因为许多有机金属配合物的性质都与这种微妙的物理效应有关。

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