Efficient structural relaxation based on the random phase approximation: Applications to the water clusters

Fuente: arXiv
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Hauptverfasser: Tahir, Muhammad N., Shang, Honghui, Li, Jia, Ren, Xinguo
Format: Preprint
Veröffentlicht: 2024
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author Tahir, Muhammad N.
Shang, Honghui
Li, Jia
Ren, Xinguo
author_facet Tahir, Muhammad N.
Shang, Honghui
Li, Jia
Ren, Xinguo
contents We report an improved implementation for evaluating the analytical gradients of the random phase approximation (RPA) electron-correlation energy based on atomic orbitals and the localized resolution of identity scheme. The more efficient RPA force calculations allow us to relax structures of medium-size water clusters. Particular attention is paid to the structures and energy orderings of the low-energy isomers of (H$_2$O)$_n$ clusters with $n=21$, 22, and 25. It is found that the energy ordering of the low-energy isomers of these water clusters are rather sensitive to how their structures are determined. For the five low-energy isomers of (H$_2$O)$_{25}$, the RPA energy ordering based on the RPA geometries is quite different from that based on the geometries relaxed by lower-level theories, in contrast with the situation of small water clusters like the water hexamer. The standard RPA underbinds the water clusters, and this underbinding behavior gets more pronounced as the complete basis set (CBS) limit is approached. The renormalized single excitation (rSE) correction remedies this underbinding, giving rise to a noticeable overbinding behavior at finite basis sets. However, as the CBS limit is approached, RPA+rSE yields an accuracy for the binding energies that is comparable to the best available double hybrid functionals, as demonstrated for the WATER27 testset.
format Preprint
id arxiv_https___arxiv_org_abs_2404_10492
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Efficient structural relaxation based on the random phase approximation: Applications to the water clusters
Tahir, Muhammad N.
Shang, Honghui
Li, Jia
Ren, Xinguo
Materials Science
We report an improved implementation for evaluating the analytical gradients of the random phase approximation (RPA) electron-correlation energy based on atomic orbitals and the localized resolution of identity scheme. The more efficient RPA force calculations allow us to relax structures of medium-size water clusters. Particular attention is paid to the structures and energy orderings of the low-energy isomers of (H$_2$O)$_n$ clusters with $n=21$, 22, and 25. It is found that the energy ordering of the low-energy isomers of these water clusters are rather sensitive to how their structures are determined. For the five low-energy isomers of (H$_2$O)$_{25}$, the RPA energy ordering based on the RPA geometries is quite different from that based on the geometries relaxed by lower-level theories, in contrast with the situation of small water clusters like the water hexamer. The standard RPA underbinds the water clusters, and this underbinding behavior gets more pronounced as the complete basis set (CBS) limit is approached. The renormalized single excitation (rSE) correction remedies this underbinding, giving rise to a noticeable overbinding behavior at finite basis sets. However, as the CBS limit is approached, RPA+rSE yields an accuracy for the binding energies that is comparable to the best available double hybrid functionals, as demonstrated for the WATER27 testset.
title Efficient structural relaxation based on the random phase approximation: Applications to the water clusters
topic Materials Science
url https://arxiv.org/abs/2404.10492