Li Xiangzhu, Paldus Josef
Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada.
J Chem Phys. 2008 Aug 7;129(5):054104. doi: 10.1063/1.2961033.
Relying on a 56-dimensional reference space and using up to the correlation-consistent, polarized, valence-quadruple-zeta (cc-pVQZ) basis sets, the reduced multireference (RMR) coupled-cluster method with singles and doubles (CCSD), as well as its perturbatively corrected version for secondary triples [RMR CCSD(T)], is employed to generate the full potential energy curves for the nitrogen molecule. The resulting potentials are then compared to the recently published accurate analytic potential based on an extensive experimental data analysis [R. J. Le Roy et al., J. Chem. Phys. 125, 164310 (2006)], and the vibrational term values of these potentials are compared over the entire well. A comparison with single-reference CCSD and CCSD(T) results, as well as with earlier obtained eight-reference RMR CC results, is also made. Excellent performance of RMR CCSD, and its systematic improvement with the increasing dimension of the reference space employed, is demonstrated. For the first 19 vibrationally excited levels, which are based on experimentally observed bands, we find an absolute average deviation of 8 cm(-1) from the computed RMR CCSD/cc-pVQZ values. The perturbative correction for triples increases this deviation to 126 cm(-1), but only to 61 cm(-1) when extrapolated to the basis set limit. Both RMR CCSD and RMR CCSD(T) potentials perform well when compared to the experiment-based analytic potential in the entire range of internuclear separations.
基于一个56维的参考空间,并使用高达相关一致极化价四重zeta(cc-pVQZ)基组,采用含单双激发的约化多参考(RMR)耦合簇方法(CCSD)及其对二级三重激发的微扰校正版本[RMR CCSD(T)]来生成氮分子的完整势能曲线。然后将所得势能与最近基于广泛实验数据分析发表的精确解析势能进行比较[R. J. 勒罗伊等人,《化学物理杂志》125, 164310 (2006)],并在整个势阱范围内比较这些势能的振动项值。还与单参考CCSD和CCSD(T)结果以及早期获得的八参考RMR CC结果进行了比较。展示了RMR CCSD的优异性能及其随着所用参考空间维度增加的系统改进。对于基于实验观测谱带的前19个振动激发能级,我们发现与计算得到的RMR CCSD/cc-pVQZ值的绝对平均偏差为8 cm⁻¹。对三重激发的微扰校正使该偏差增加到126 cm⁻¹,但外推到基组极限时仅增加到61 cm⁻¹。在整个核间距范围内,与基于实验的解析势能相比,RMR CCSD和RMR CCSD(T)势能均表现良好。