Moritz Gerrit, Wolf Alexander, Reiher Markus
Institut für Physikalische Chemie, Universität Jena, Helmholtzweg 4, D-07743 Jena, Germany.
J Chem Phys. 2005 Nov 8;123(18):184105. doi: 10.1063/1.2104447.
Over the past few years, it has been shown in various studies on small molecules with only a few electrons that the density-matrix renormalization group (DMRG) method converges to results close to the full configuration-interaction limit for the total electronic energy. In order to test the capabilities of the method for molecules with complex electronic structures, we performed a study on the potential-energy curves of the ground state and the first excited state of 1sigma+ symmetry of the cesium hydride molecule. For cesium relativistic effects cannot be neglected, therefore we have used the generalized arbitrary-order Douglas-Kroll-Hess protocol up to tenth order, which allows for a complete decoupling of the Dirac Hamiltonian. Scalar-relativistic effects are thus fully incorporated in the calculations. The potential curves of the cesium hydride molecule feature an avoided crossing between the ground state and the first excited state, which is shown to be very well described by the DMRG method. Compared to multireference configuration-interaction results, the potential curves hardly differ in shape, for both the ground state and the excited state, but the total energies from the DMRG calculations are in general consistently lower. However, the DMRG energies are as accurate as corresponding coupled cluster energies at the equilibrium distance, but convergence to the full configuration-interaction limit is not achieved.
在过去几年中,针对仅有少数电子的小分子开展的各类研究表明,密度矩阵重整化群(DMRG)方法在计算总电子能量时,收敛结果接近完全组态相互作用极限。为了测试该方法处理具有复杂电子结构分子的能力,我们对氢化铯分子1σ + 对称性的基态和第一激发态的势能曲线进行了研究。对于铯而言,相对论效应不可忽略,因此我们采用了广义任意阶Douglas-Kroll-Hess方法至十阶,该方法可实现狄拉克哈密顿量的完全解耦。这样,标量相对论效应便被充分纳入计算之中。氢化铯分子的势能曲线呈现出基态与第一激发态之间的避免交叉现象,结果表明DMRG方法能够很好地描述这一现象。与多参考组态相互作用结果相比,基态和激发态的势能曲线在形状上几乎没有差异,但DMRG计算得到的总能量总体上始终更低。然而,在平衡距离处,DMRG能量与相应的耦合簇能量一样精确,但并未收敛到完全组态相互作用极限。