Ramírez-Solís A, Daudey J P
Laboratoire de Physique Quantique IRSAMC, UMR 5626 du CNRS, Université Paul Sabatier 118, Route de Narbonne, Toulouse Cedex 31062, France.
J Chem Phys. 2005 Jan 1;122(1):14315. doi: 10.1063/1.1829052.
The X (2)Pi(g)-C (2)Delta(g) and X (2)Pi(g)-D (2)Delta(g) transitions on CuCl(2) have been studied using 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 complete active space self-consistent field plus second-order Møller-Plesset algorithm (CASSCF+CASPT2) and CASSCF+ACPF levels, the transition energies as well as the corresponding equilibrium geometries (ACPF-averaged coupled pair functional). 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 vertical excitation energy for the (2)Delta(g) state is 6711 cm(-1) and the symmetric stretching equilibrium Cu-Cl distance is 4.04 a.u. The inclusion of the SO effects leads to a pure (2)Delta(g) Omega=5/2C state and a Omega=3/2 (0.7% (2)Pi(g),99.3% (2)Delta(g))D state. The calculated transition energies for the C and D states are 6340 and 8020 cm(-1), in good agreement with the spin-orbit splitting recent values from gas-phase and rare-gas matrix isolation laser induced fluorescence experiments. The present benchmark results show, as was recently done for the X (2)Pi(g)-(2)Sigma(g) transition, the rather poor performance of all the density functional theory-based descriptions for the (2)Delta(g) state, which largely overestimate its T(e), systematically placing it around 19 000 cm(-1). The CASSCF+CASPT2 method also overestimates, by around 50%, the X (2)Pi(g)-(2)Delta(g) transition energy, showing that only large variational calculations can produce reliable spectroscopic results for this kind of complex systems where delicate electronic correlation effects have to be carefully dealt with.
利用最精密的非动态和动态电子关联处理方法,对CuCl₂上的X(2)Pi(g)-C(2)Delta(g)和X(2)Pi(g)-D(2)Delta(g)跃迁进行了研究。我们在此报告从头算基准计算,使用特别开发的基组,在完全活性空间自洽场加二阶莫勒-普列斯算法(CASSCF+CASPT2)和CASSCF+ACPF水平下,研究跃迁能量以及相应的平衡几何结构(ACPF-平均耦合对函数)。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,(2)Delta(g)态的垂直激发能为6711 cm⁻¹,对称拉伸平衡Cu-Cl距离为4.04原子单位。纳入SO效应导致一个纯的(2)Delta(g)Ω=5/2 C态和一个Ω=3/2(0.7% (2)Pi(g),99.3% (2)Delta(g))D态。C态和D态的计算跃迁能量分别为6340和8020 cm⁻¹,与气相和稀有气体基质隔离激光诱导荧光实验得到的最近自旋-轨道分裂值吻合良好。目前的基准结果表明,正如最近对X(2)Pi(g)-(2)Sigma(g)跃迁所做的那样,所有基于密度泛函理论的描述对(2)Delta(g)态的表现相当差,它们在很大程度上高估了其T(e),系统地将其置于19000 cm⁻¹左右。CASSCF+CASPT2方法也高估了X(2)Pi(g)-(2)Delta(g)跃迁能量约50%,表明只有大型变分计算才能为这类必须仔细处理精细电子关联效应的复杂系统产生可靠的光谱结果。