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Multireference State-Specific Mukherjee's Coupled Cluster Method with Non-iterative Triexcitations.
Bhaskaran Nair, Kiran ; Pittner, Jiří (advisor) ; Noga, Jozef (referee) ; Fišer, Jiří (referee)
The multireference (MR) generalization of coupled cluster (CC) theory aims to describe both the static and the dynamic correlation accurately, as the standard CC method (at lower truncation levels) generally does not perform well when quasidegenerate boundary orbitals are encountered. The most promising among the MR Hilbert-space methods seems to be the state-specific MR Mukherjee's CC (MkCC) method, formulated by Mukherjee et al. [J. Chem. Phys. 110, 6171 (1999)], due to its rigorous size-extensivity and insensitivity to the intruder state problem. The main goal of this work was to include connected triples in the MkCC method. As the cost of the iterative triples limits its application, the main focus was on including triples non-iteratively. Two perturbative triples methods, namely MkCCSD(Tn) and MkCCSD(Tu) have thus been developed. For studying their accuracy, iterative triples methods (MkCCSDT and MkCCSDT-n) were also developed using the "linked" formulation. All these methods and an uncoupled version of MkCC (uMkCC) were implemented in the ACES II program. The assessment of these methods was performed on the O2, cyclobutadiene, methylene diradical, twisted ethylene, F2, BeH2 and tetramethyleneethane (TME) molecules. All these studies show that the inclusion of triexcitations improves the...
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Multireference State-Specific Mukherjee's Coupled Cluster Method with Non-iterative Triexcitations.
Bhaskaran Nair, Kiran ; Pittner, Jiří (advisor) ; Noga, Jozef (referee) ; Fišer, Jiří (referee)
The multireference (MR) generalization of coupled cluster (CC) theory aims to describe both the static and the dynamic correlation accurately, as the standard CC method (at lower truncation levels) generally does not perform well when quasidegenerate boundary orbitals are encountered. The most promising among the MR Hilbert-space methods seems to be the state-specific MR Mukherjee's CC (MkCC) method, formulated by Mukherjee et al. [J. Chem. Phys. 110, 6171 (1999)], due to its rigorous size-extensivity and insensitivity to the intruder state problem. The main goal of this work was to include connected triples in the MkCC method. As the cost of the iterative triples limits its application, the main focus was on including triples non-iteratively. Two perturbative triples methods, namely MkCCSD(Tn) and MkCCSD(Tu) have thus been developed. For studying their accuracy, iterative triples methods (MkCCSDT and MkCCSDT-n) were also developed using the "linked" formulation. All these methods and an uncoupled version of MkCC (uMkCC) were implemented in the ACES II program. The assessment of these methods was performed on the O2, cyclobutadiene, methylene diradical, twisted ethylene, F2, BeH2 and tetramethyleneethane (TME) molecules. All these studies show that the inclusion of triexcitations improves the...
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