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Aplication of explicitly correlated multi-reference coupled cluster methods
Lang, Jakub ; Pittner, Jiří (advisor) ; Fišer, Jiří (referee)
Nowdays, coupled cluster method belongs to one of the most used quantum chemical methods. However, the single-reference coupled cluster methods are not able to describe systems where the static correlation have an important role. Multireference coupled cluster methods developed in our group can describe both static and dy- namic correlation and can be used for problematic systems. Together with explicitly correlated wavefunction, which can properly describe the electronic cusp and speed up the convergence to the complete ba- sis set limit, they are able to calculate computationally demanding diradicals. Multireference CC calculations of tetramethylenethane have been perforemd and the performance of explicitly correlated version is discussed. Calculations of the isomerization of bicyclobu- tane using the multireference approach are presented as well. 1
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Explicitly Correlated Multireference Coupled-Cluster Study of Molecules and Cations with Diradical Character
Jungwirth, Jakub ; Pittner, Jiří (advisor) ; Fišer, Jiří (referee)
Known and proposed helium chemistry embraces a large variety of small-size cationic species. Even though some of these species can be studied experimentally in the gas phase, the vast majority of contemporary studies are backed up or done entirely using high-level of theory calculations. The aim of this thesis is to present a theoretical introduction to ab initio computational chemistry from the basics (definition of the electronic problem, Born-Oppenheimer approximation, Hartree- Fock method) to the Brillouin-Wigner and Mukherjee Hilbert-space state-specific multireference coupled-cluster (MRCC) methods and their explicitly correlated versions. The thesis also contains a study of HeN2+ 2 using the mentioned MRCC methods. An important result has been, that Mukherjee's state-specific multireference coupled-cluster method with perturbative triexcitations Mk CCSD(Tu) gives results in very good agreement to conventional calculations (CASPT2 and MRCI) using a much smaller active space and smaller basis sets.
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Multireference coupled cluster methods with local pair natural orbital approach
Lang, Jakub ; Pittner, Jiří (advisor) ; Neogrady, Pavel (referee) ; Musial, Monika (referee)
Multireference coupled cluster (MRCC) methods are a highly accurate approach for sys- tems with quasi-degeneracies, where the static correlation plays an important role. How- ever, while canonical MRCC is successful for many systems, it can be used only for small sized systems. Nonetheless, it was shown that large systems can be described by the domain-based local pair natural orbital approach (DLPNO). In our group, we developed DLPNO-MkCCSD, DLPNO-TCCSD and DLPNO-MkCCSD(T) methods, which were able to recover more than 99.7% of the canonical correlation energy, while the computation of systems with more than 2000 basis functions took only a few hours on a single CPU core. Moreover, we also implemented a tailored variant of MRCC which successfully described excited states of cyclobutadiene, while the traditional MRCC under-performed.
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Explicitly Correlated Multireference Coupled-Cluster Study of Molecules and Cations with Diradical Character
Jungwirth, Jakub ; Pittner, Jiří (advisor) ; Fišer, Jiří (referee)
Known and proposed helium chemistry embraces a large variety of small-size cationic species. Even though some of these species can be studied experimentally in the gas phase, the vast majority of contemporary studies are backed up or done entirely using high-level of theory calculations. The aim of this thesis is to present a theoretical introduction to ab initio computational chemistry from the basics (definition of the electronic problem, Born-Oppenheimer approximation, Hartree- Fock method) to the Brillouin-Wigner and Mukherjee Hilbert-space state-specific multireference coupled-cluster (MRCC) methods and their explicitly correlated versions. The thesis also contains a study of HeN2+ 2 using the mentioned MRCC methods. An important result has been, that Mukherjee's state-specific multireference coupled-cluster method with perturbative triexcitations Mk CCSD(Tu) gives results in very good agreement to conventional calculations (CASPT2 and MRCI) using a much smaller active space and smaller basis sets.
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Aplication of explicitly correlated multi-reference coupled cluster methods
Lang, Jakub ; Pittner, Jiří (advisor) ; Fišer, Jiří (referee)
Nowdays, coupled cluster method belongs to one of the most used quantum chemical methods. However, the single-reference coupled cluster methods are not able to describe systems where the static correlation have an important role. Multireference coupled cluster methods developed in our group can describe both static and dy- namic correlation and can be used for problematic systems. Together with explicitly correlated wavefunction, which can properly describe the electronic cusp and speed up the convergence to the complete ba- sis set limit, they are able to calculate computationally demanding diradicals. Multireference CC calculations of tetramethylenethane have been perforemd and the performance of explicitly correlated version is discussed. Calculations of the isomerization of bicyclobu- tane using the multireference approach are presented as well. 1
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Study of Diradicals By Explicitly Correlated Multireference Coupled Cluster Methods
Švaňa, Matej ; Pittner, Jiří (advisor) ; Pitoňák, Michal (referee)
Title: Study of Diradicals by Explicitly Correlated Multireference Coupled Cluster Methods Author: Matej Švaňa Department: Department of Physical and Macromelecular Chemistry Supervisor: Mgr. Jiří Pittner, Dr. rer. nat., J. Heyrovský Institute of Physical Chemistry Abstract: Total energies of cyclopropane, trimethylene, and propylidene were calculated with conventional post-HF CCSD(T), BWCCSD(T), MkCCSD(T) methods and their explicitly correlated alternatives. Main aims of the the- sis were to compare the basis set convergence of total energies and relative energies between cyclopropane and trimethylene/propylidene, both at the conventional and the explicitly correlated levels. It was shown that use of explicit correlation accelerates the convergence of the total energy by one or- der of basis set quality, resulting in considerable savings in computational times. Also, the MkCCSD(T)-F12/QZ and the BWCCSD(T)-F12/QZ calcula- tions belong to the most sophisticated approaches employed for estimation of the relative energies of cyclopropane and trimethylene/propylidene to date. Keywords: explicitly correlated, coupled cluster, multi-reference, cyclopropane isomerisation, trimethylene, propylidene 1
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