A Reduced Cost Four-Component Relativistic Unitary Coupled Cluster Method for Molecules

A Reduced Cost Four-Component Relativistic Unitary Coupled Cluster Method for Molecules

We present a four-component relativistic unitary coupled cluster method for molecules. We have used commutator-based non-perturbative approximation using the ''Bernoulli expansion'' to derive an approximation to the relativistic unitary coupled cluster method. The performance of...

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Veröffentlicht in:arXiv.org 2024-03
Hauptverfasser: Majee, Kamal, Mukhopadhyay, Tamoghna, Nayak, Malaya K, Dutta, Achintya Kumar
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Approximation
Clusters
Commutators
Mathematical analysis
Relativistic effects
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Mukhopadhyay, Tamoghna
Nayak, Malaya K
Dutta, Achintya Kumar
description We present a four-component relativistic unitary coupled cluster method for molecules. We have used commutator-based non-perturbative approximation using the ''Bernoulli expansion'' to derive an approximation to the relativistic unitary coupled cluster method. The performance of the full quadratic unitary coupled-cluster singles and doubles method \left ( qUCCSD \right ), as well as a perturbative approximation variant \left ( UCC3 \right ), has been reported for both energies and properties. It can be seen that both methods give results comparable to those of the standard relativistic coupled cluster method. The qUCCSD method shows better agreement with experimental results due to better inclusion of the relaxation effects. A natural spinor-based scheme to reduce the computation cost of relativistic UCC3 and qUCCSD methods has been discussed.
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Clusters
Commutators
Mathematical analysis
Relativistic effects
title A Reduced Cost Four-Component Relativistic Unitary Coupled Cluster Method for Molecules
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