Towards accurate spin-orbit splittings from relativistic multireference electronic structure theory

Fuente: arXiv
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Main Authors: Zhao, Zijun, Evangelista, Francesco A.
Format: Preprint
Published: 2024
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author Zhao, Zijun
Evangelista, Francesco A.
author_facet Zhao, Zijun
Evangelista, Francesco A.
contents Most nonrelativistic electron correlation methods can be adapted to account for relativistic effects, as long as the relativistic molecular spinor integrals are available, from either a four-, two-, or one-component mean-field calculation. However, relativistic multireference correlation methods remain a relatively unexplored area, with mixed evidence regarding the improvements brought by perturbative treatments. We report, for the first time, the implementation of state-averaged four-component multireference perturbation theories to second and third order based on the driven similarity renormalization group (DSRG). With our methods, named 4c-SA-DSRG-MRPT2 and 3, we find that the dynamical correlation included on top of 4c-CASSCF references can significantly improve the spin-orbit splittings in p-block elements and potential energy surfaces when compared to 4c-CASSCF and 4c-CASPT2 results. We further show that 4c-DSRG-MRPT2 and 3 are applicable to these systems over a wide range of the flow parameter, with systematic improvement from second to third order in terms of both improved error statistics and reduced sensitivity with respect to the flow parameter.
format Preprint
id arxiv_https___arxiv_org_abs_2405_06077
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Towards accurate spin-orbit splittings from relativistic multireference electronic structure theory
Zhao, Zijun
Evangelista, Francesco A.
Strongly Correlated Electrons
Chemical Physics
Most nonrelativistic electron correlation methods can be adapted to account for relativistic effects, as long as the relativistic molecular spinor integrals are available, from either a four-, two-, or one-component mean-field calculation. However, relativistic multireference correlation methods remain a relatively unexplored area, with mixed evidence regarding the improvements brought by perturbative treatments. We report, for the first time, the implementation of state-averaged four-component multireference perturbation theories to second and third order based on the driven similarity renormalization group (DSRG). With our methods, named 4c-SA-DSRG-MRPT2 and 3, we find that the dynamical correlation included on top of 4c-CASSCF references can significantly improve the spin-orbit splittings in p-block elements and potential energy surfaces when compared to 4c-CASSCF and 4c-CASPT2 results. We further show that 4c-DSRG-MRPT2 and 3 are applicable to these systems over a wide range of the flow parameter, with systematic improvement from second to third order in terms of both improved error statistics and reduced sensitivity with respect to the flow parameter.
title Towards accurate spin-orbit splittings from relativistic multireference electronic structure theory
topic Strongly Correlated Electrons
Chemical Physics
url https://arxiv.org/abs/2405.06077