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4c相对论域中DMRG定制耦合簇方法:通用实现及其在NUHFI和NUF分子中的应用

DMRG-Tailored Coupled Cluster Method in the 4c-Relativistic Domain: General Implementation and Application to the NUHFI and NUF Molecules.

作者信息

Višňák Jakub, Brandejs Jan, Máté Mihály, Visscher Lucas, Legeza Örs, Pittner Jiří

机构信息

J. Heyrovský Institute of Physical Chemistry, Academy of Sciences of the Czech Republic, v.v.i., Dolejškova 3, 18223 Prague 8, Czech Republic.

Faculty of Mathematics and Physics, Charles University, Ke Karlovu 3, 12116 Prague, Czech Republic.

出版信息

J Chem Theory Comput. 2024 Oct 22;20(20):8862-8875. doi: 10.1021/acs.jctc.4c00641. Epub 2024 Oct 9.

Abstract

Heavy atom compounds represent a challenge for computational chemistry due to the need for simultaneous treatment of relativistic and correlation effects. Often such systems also exhibit strong correlation, which hampers the application of perturbation theory or single-reference coupled cluster (CC) methods. As a viable alternative, we have proposed externally correcting the CC method using the density matrix renormalization group (DMRG) wave functions, yielding the DMRG-tailored CC method. In a previous paper [ , , 174107], we reported a first implementation of this method in the relativistic context, which was restricted to molecules with real double group symmetry. In this work, we present a fully general implementation of the method, covering complex and quaternion double groups as well. The 4c-TCC method thus becomes applicable to polyatomic molecules, including heavy atoms. For the assessment of the method, we performed calculations of the chiral uranium compound NUHFI, which was previously studied in the context of the enhancement of parity violation effects. In particular, we performed calculations of a cut of the potential energy surface of this molecule along the stretching of the N-U bond, where the system exhibits strong multireference character. Since there are no experimental data for NUHFI, we have performed also an analogous study of the (more symmetric) NUF molecule, where the vibrational frequency of the N-U bond can be compared with spectroscopic data.

摘要

重原子化合物对计算化学来说是一项挑战,因为需要同时处理相对论效应和关联效应。这类体系常常还表现出强关联,这妨碍了微扰理论或单参考耦合簇(CC)方法的应用。作为一种可行的替代方法,我们提出使用密度矩阵重整化群(DMRG)波函数对CC方法进行外部校正,从而得到DMRG定制的CC方法。在之前的一篇论文[ , , 174107]中,我们报道了该方法在相对论情形下的首次实现,它仅限于具有实双群对称性的分子。在这项工作中,我们给出了该方法的完全通用实现,也涵盖了复双群和四元数双群。因此,4c-TCC方法适用于包括重原子在内的多原子分子。为了评估该方法,我们对之前在宇称破缺效应增强背景下研究过的手性铀化合物NUHFI进行了计算。特别是,我们对该分子沿N-U键拉伸的势能面进行了计算,在此处体系表现出很强的多参考特征。由于没有NUHFI的实验数据,我们还对(更对称的)NUF分子进行了类似研究,其中N-U键的振动频率可与光谱数据进行比较。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0c27/11500409/f7664f48009e/ct4c00641_0001.jpg

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