1
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Tecmer P, Gałyńska M, Szczuczko L, Boguslawski K. Geminal-Based Strategies for Modeling Large Building Blocks of Organic Electronic Materials. J Phys Chem Lett 2023; 14:9909-9917. [PMID: 37903084 PMCID: PMC10641881 DOI: 10.1021/acs.jpclett.3c02434] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/30/2023] [Revised: 10/09/2023] [Accepted: 10/24/2023] [Indexed: 11/01/2023]
Abstract
We elaborate on unconventional electronic structure methods based on geminals and their potential to advance the rapidly developing field of organic photovoltaics (OPVs). Specifically, we focus on the computational advantages of geminal-based methods over standard approaches and identify the critical aspects of OPV development. Examples are reliable and efficient computations of orbital energies, electronic spectra, and van der Waals interactions. Geminal-based models can also be combined with quantum embedding techniques and a quantum information analysis of orbital interactions to gain a fundamental understanding of the electronic structures and properties of realistic OPV building blocks. Furthermore, other organic components present in, for instance, dye-sensitized solar cells (DSSCs) represent another promising scope of application. Finally, we provide numerical examples predicting the properties of a small building block of OPV components and two carbazole-based dyes proposed as possible DSSC sensitizers.
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Affiliation(s)
- Paweł Tecmer
- Institute of Physics, Faculty of Physics,
Astronomy, and Informatics, Nicolaus Copernicus
University in Toruń, Grudziadzka 5, 87-100 Toruń, Poland
| | - Marta Gałyńska
- Institute of Physics, Faculty of Physics,
Astronomy, and Informatics, Nicolaus Copernicus
University in Toruń, Grudziadzka 5, 87-100 Toruń, Poland
| | - Lena Szczuczko
- Institute of Physics, Faculty of Physics,
Astronomy, and Informatics, Nicolaus Copernicus
University in Toruń, Grudziadzka 5, 87-100 Toruń, Poland
| | - Katharina Boguslawski
- Institute of Physics, Faculty of Physics,
Astronomy, and Informatics, Nicolaus Copernicus
University in Toruń, Grudziadzka 5, 87-100 Toruń, Poland
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2
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Motta LC, Autschbach J. Actinide inverse trans influence versus cooperative pushing from below and multi-center bonding. Nat Commun 2023; 14:4307. [PMID: 37463900 DOI: 10.1038/s41467-023-39626-8] [Citation(s) in RCA: 7] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/19/2023] [Accepted: 06/22/2023] [Indexed: 07/20/2023] Open
Abstract
Actinide-ligand bonds with high multiplicities remain poorly understood. Decades ago, an effect known as 6p pushing from below (PFB) was proposed to enhance actinide covalency. A related effect-also poorly understood-is inverse trans influence (ITI). The present computational study of actinide-ligand covalent interactions with high bond multiplicities quantifies the energetic contributions from PFB and identifies a hitherto overlooked fourth bonding interaction for 2nd-row ligands in the studied organometallic systems. The latter are best described by a terminal O/N ligand exhibiting quadruple bonding interactions with the actinide. The 4th interaction may be characterized as a multi-center or charge-shift bond involving the trans ligand. It is shown in this work that the 4th bonding interaction is a manifestation of ITI, assisted by PFB, and provides a long-sought missing piece in the understanding of actinide chemistry.
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Affiliation(s)
- Laura C Motta
- Department of Chemistry, University at Buffalo, State University of New York, Buffalo, NY, 14260-3000, USA
- Department of Marine Chemistry & Geochemistry, Woods Hole Oceanographic Institution, Woods Hole, MA, 02543-1050, USA
| | - Jochen Autschbach
- Department of Chemistry, University at Buffalo, State University of New York, Buffalo, NY, 14260-3000, USA.
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3
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Lu JB, Jiang XL, Wang JQ, Hu HS, Schwarz WHE, Li J. On the highest oxidation states of the actinoids in AnO 4 molecules (An = Ac - Cm): A DMRG-CASSCF study. J Comput Chem 2023; 44:190-198. [PMID: 35420170 DOI: 10.1002/jcc.26856] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/19/2022] [Revised: 03/18/2022] [Accepted: 03/23/2022] [Indexed: 12/31/2022]
Abstract
Actinoid tetroxide molecules AnO4 (An = Ac - Cm) are investigated with the ab initio density matrix renormalization group (DMRG) approach. Natural orbital shapes are used to read out the oxidation state (OS) of the f-elements, and the atomic orbital energies and radii are used to explain the trends. The highest OSs reveal a "volcano"-type variation: For An = Ac - Np, the OSs are equal to the number of available valence electrons, that is, AcIII , ThIV , PaV , UVI , and NpVII . Starting with plutonium as the turning point, the highest OSs in the most stable AnO4 isomers then decrease as PuV , AmV , and CmIII , indicating that the 5f-electrons are hard to be fully oxidized off from Pu onward. The variations are related to the actinoid contraction and to the 5f-covalency characteristics. Combined with previous work on OSs, we review their general trends throughout the periodic table, providing fundamental understanding of OS-relevant phenomena.
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Affiliation(s)
- Jun-Bo Lu
- Departmentof Chemistry, Southern University of Science and Technology, Shenzhen.,Department of Chemistry and Key Laboratory of Organic Optoelectronics and Molecular Engineering, Ministry of Education, Tsinghua University, Beijing
| | - Xue-Lian Jiang
- Departmentof Chemistry, Southern University of Science and Technology, Shenzhen
| | - Jia-Qi Wang
- Department of Chemistry and Key Laboratory of Organic Optoelectronics and Molecular Engineering, Ministry of Education, Tsinghua University, Beijing
| | - Han-Shi Hu
- Department of Chemistry and Key Laboratory of Organic Optoelectronics and Molecular Engineering, Ministry of Education, Tsinghua University, Beijing
| | - W H Eugen Schwarz
- Department of Chemistry and Key Laboratory of Organic Optoelectronics and Molecular Engineering, Ministry of Education, Tsinghua University, Beijing.,Theoretische Chemie, Fachbereich Chemie und Biologie, Universität Siegen, Siegen, Germany
| | - Jun Li
- Departmentof Chemistry, Southern University of Science and Technology, Shenzhen.,Department of Chemistry and Key Laboratory of Organic Optoelectronics and Molecular Engineering, Ministry of Education, Tsinghua University, Beijing
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4
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Hu SX, You XX, Zou WL, Lu E, Gao X, Zhang P. Electronic Structures and Unusual Chemical Bonding in Actinyl Peroxide Dimers [An 2O 6] 2+ and [(An 2O 6)(12-crown-4 ether) 2] 2+ (An = U, Np, and Pu). Inorg Chem 2022; 61:15589-15599. [DOI: 10.1021/acs.inorgchem.2c02399] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Shu-Xian Hu
- Department of Physics, University of Science and Technology Beijing, Beijing 100083, China
- Beijing Computational Science Research Center, Beijing 100193, China
| | - Xiao-Xia You
- Department of Physics, University of Science and Technology Beijing, Beijing 100083, China
| | - Wen-Li Zou
- Institute of Modern Physics, Northwest University, Xi’an, 710127, China
| | - Erli Lu
- School of Natural and Environmental Sciences, Newcastle University, Newcastle NE1 7RU, United Kingdom
| | - Xiang Gao
- Beijing Computational Science Research Center, Beijing 100193, China
| | - Ping Zhang
- Beijing Computational Science Research Center, Beijing 100193, China
- Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
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5
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Leszczyk A, Dome T, Tecmer P, Kedziera D, Boguslawski K. Resolving the π-assisted U-N σ f-bond formation using quantum information theory. Phys Chem Chem Phys 2022; 24:21296-21307. [PMID: 36043327 DOI: 10.1039/d2cp03377a] [Citation(s) in RCA: 6] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We model the potential energy profiles of the UO2 (NCO)Cl2- → NUOCl2- + CO2 reaction pathway [Y. Gong, V. Vallet, M. del Carmen Michelini, D. Rios and J. K. Gibson, J. Phys. Chem. A, 2014, 118, 325-330] using different pair coupled-cluster doubles (pCCD) methods. Specifically, we focus on pCCD and pCCD-tailored coupled cluster models in predicting relative energies for the various intermediates and transition states along the reaction coordinate. Furthermore, we augment our study on energetics with an orbital-pair correlation analysis of the complete reaction pathway that features two distinct paths. Our analysis of orbital correlations sheds new light on the formation and breaking of respective bonds between the uranium, oxygen, and nitrogen atoms along the reaction coordinates where the "yl" bond is broken and a nitrido compound formed. Specifically, the strengthening of the U-N σf-bond is assisted by a π-type interaction that is delocalized over the C-N-U backbone of the UO2 (NCO)Cl2- complex.
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Affiliation(s)
- Aleksandra Leszczyk
- Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University in Toruń, Grudziadzka 5, 87-100 Toruń, Poland.
| | - Tibor Dome
- Institute for Theoretical Physics, ETH Zürich, 8093 Zürich, Switzerland.,Institute of Astronomy, University of Cambridge, Madingley Road Cambridge, CB3 0HA, UK
| | - Paweł Tecmer
- Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University in Toruń, Grudziadzka 5, 87-100 Toruń, Poland.
| | - Dariusz Kedziera
- Faculty of Chemistry, Nicolaus Copernicus University in Toruń, Gagarina 7, 87-100 Toruń, Poland
| | - Katharina Boguslawski
- Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University in Toruń, Grudziadzka 5, 87-100 Toruń, Poland.
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6
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Leszczyk A, Máté M, Legeza Ö, Boguslawski K. Assessing the Accuracy of Tailored Coupled Cluster Methods Corrected by Electronic Wave Functions of Polynomial Cost. J Chem Theory Comput 2021; 18:96-117. [PMID: 34965121 DOI: 10.1021/acs.jctc.1c00284] [Citation(s) in RCA: 10] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Tailored coupled cluster theory represents a computationally inexpensive way to describe static and dynamical electron correlation effects. In this work, we scrutinize the performance of various coupled cluster methods tailored by electronic wave functions of polynomial cost. Specifically, we focus on frozen-pair coupled cluster (fpCC) methods, which are tailored by pair-coupled cluster doubles (pCCD), and coupled cluster theory tailored by matrix product state wave functions optimized by the density matrix renormalization group (DMRG) algorithm. As test system, we selected a set of various small- and medium-sized molecules containing diatomics (N2, F2, C2, CN+, CO, BN, BO+, and Cr2) and molecules (ammonia, ethylene, cyclobutadiene, benzene, hydrogen chains, rings, and cuboids) for which the conventional single-reference coupled cluster singles and doubles (CCSD) method is not able to produce accurate results for spectroscopic constants, potential energy surfaces, and barrier heights. Most importantly, DMRG-tailored and pCCD-tailored approaches yield similar errors in spectroscopic constants and potential energy surfaces compared to accurate theoretical and/or experimental reference data. Although fpCC methods provide a reliable description for the dissociation pathway of molecules featuring single and quadruple bonds, they fail in the description of triple or hextuple bond-breaking processes or avoided crossing regions.
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Affiliation(s)
- Aleksandra Leszczyk
- Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University in Toruń, ul. Grudzia̧dzka 5, 87-100 Toruń, Poland
| | - Mihály Máté
- Strongly Correlated Systems "Lendület" Research Group, Wigner Research Center for Physics, H-1525 Budapest, Hungary.,Department of Physics of Complex Systems, Eötvös Loránd University, Pf. 32, H-1518 Budapest, Hungary
| | - Örs Legeza
- Strongly Correlated Systems "Lendület" Research Group, Wigner Research Center for Physics, H-1525 Budapest, Hungary.,Institute for Advanced Study, Technical University of Munich, 80333 Munich, Germany
| | - Katharina Boguslawski
- Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University in Toruń, ul. Grudzia̧dzka 5, 87-100 Toruń, Poland
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7
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Nowak A, Legeza Ö, Boguslawski K. Orbital entanglement and correlation from pCCD-tailored coupled cluster wave functions. J Chem Phys 2021; 154:084111. [DOI: 10.1063/5.0038205] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/08/2023] Open
Affiliation(s)
- Artur Nowak
- Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University in Toruń, Grudziadzka 5, 87-100 Torun, Poland
| | - Örs Legeza
- Strongly Correlated Systems “Lendület" Research Group, Wigner Research Center for Physics, H-1525 Budapest, Hungary
| | - Katharina Boguslawski
- Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University in Toruń, Grudziadzka 5, 87-100 Torun, Poland
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8
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Lu JB, Ma XL, Wang JQ, Jiang YF, Li Y, Hu HS, Xiao H, Li J. The df–d Dative Bonding in a Uranium–Cobalt Heterobimetallic Complex for Efficient Nitrogen Fixation. Inorg Chem 2019; 58:7433-7439. [DOI: 10.1021/acs.inorgchem.9b00598] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Jun-Bo Lu
- Department of Chemistry and Key Laboratory of Organic Optoelectronics & Molecular Engineering of the Ministry of Education, Tsinghua University, Beijing 100084, China
| | - Xue-Lu Ma
- Department of Chemistry and Key Laboratory of Organic Optoelectronics & Molecular Engineering of the Ministry of Education, Tsinghua University, Beijing 100084, China
- School of Chemical & Environmental Engineering, China University of Mining & Technology, Beijing 100083, China
| | - Jia-Qi Wang
- Department of Chemistry and Key Laboratory of Organic Optoelectronics & Molecular Engineering of the Ministry of Education, Tsinghua University, Beijing 100084, China
| | - Ya-Fei Jiang
- Department of Chemistry and Key Laboratory of Organic Optoelectronics & Molecular Engineering of the Ministry of Education, Tsinghua University, Beijing 100084, China
| | - Yong Li
- Department of Chemistry and Key Laboratory of Organic Optoelectronics & Molecular Engineering of the Ministry of Education, Tsinghua University, Beijing 100084, China
| | - Han-Shi Hu
- Department of Chemistry and Key Laboratory of Organic Optoelectronics & Molecular Engineering of the Ministry of Education, Tsinghua University, Beijing 100084, China
| | - Hai Xiao
- Department of Chemistry and Key Laboratory of Organic Optoelectronics & Molecular Engineering of the Ministry of Education, Tsinghua University, Beijing 100084, China
| | - Jun Li
- Department of Chemistry and Key Laboratory of Organic Optoelectronics & Molecular Engineering of the Ministry of Education, Tsinghua University, Beijing 100084, China
- Department of Chemistry, Southern University of Science and Technology, Shenzhen 518055, China
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9
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Nowak A, Tecmer P, Boguslawski K. Assessing the accuracy of simplified coupled cluster methods for electronic excited states in f0 actinide compounds. Phys Chem Chem Phys 2019; 21:19039-19053. [DOI: 10.1039/c9cp03678d] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We scrutinize the performance of different variants of equation of motion coupled cluster (EOM-CC) methods to predict electronic excitation energies and excited state potential energy surfaces in closed-shell actinide species.
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Affiliation(s)
- Artur Nowak
- Institute of Physics
- Faculty of Physics
- Astronomy, and Informatics
- Nicolaus Copernicus University in Toruń
- 87-100 Toruń
| | - Paweł Tecmer
- Institute of Physics
- Faculty of Physics
- Astronomy, and Informatics
- Nicolaus Copernicus University in Toruń
- 87-100 Toruń
| | - Katharina Boguslawski
- Institute of Physics
- Faculty of Physics
- Astronomy, and Informatics
- Nicolaus Copernicus University in Toruń
- 87-100 Toruń
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10
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Łachmańska A, Tecmer P, Legeza Ö, Boguslawski K. Elucidating cation–cation interactions in neptunyl dications using multi-reference ab initio theory. Phys Chem Chem Phys 2019; 21:744-759. [DOI: 10.1039/c8cp04267e] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/07/2023]
Abstract
Understanding the binding mechanism in neptunyl clusters formed due to cation–cation interactions is of crucial importance in nuclear waste reprocessing and related areas of research.
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Affiliation(s)
- Aleksandra Łachmańska
- Institute of Physics
- Faculty of Physics
- Astronomy and Informatics
- Nicolaus Copernicus University in Toruń
- 87-100 Toruń
| | - Paweł Tecmer
- Institute of Physics
- Faculty of Physics
- Astronomy and Informatics
- Nicolaus Copernicus University in Toruń
- 87-100 Toruń
| | - Örs Legeza
- Strongly Correlated Systems “Lendület” Research Group
- Wigner Research Center for Physics
- H-1525 Budapest
- Hungary
| | - Katharina Boguslawski
- Institute of Physics
- Faculty of Physics
- Astronomy and Informatics
- Nicolaus Copernicus University in Toruń
- 87-100 Toruń
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11
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Abstract
A novel type of trivalent BNg five-membered cational species B5Ngn3+(Ng = He~Rn, n = 1~5) has been found and investigated theoretically using the B3LYP and MP2 methods with the def2-QZVPPD and def2-TZVPPD basis sets. The geometry, harmonic vibrational frequencies, bond energies, charge distribution, bond nature, aromaticity, and energy decomposition analysis of these structures were reported. The calculated B-Ng bond energy is quite large (the averaged bond energy is in the range of 209.2~585.76 kJ mol-1) for heavy rare gases and increases with the Ng atomic number. The analyses of the molecular wavefunction show that in the BNg compounds of heavy Ng atoms Ar~Rn, the B-Ng bonds are of typical covalent character. Nuclear independent chemical shifts display that both B53+ and B5Ngn3+(n=1~5) have obvious aromaticity. Energy decomposition analysis shows that these BNg compounds are mainly stabilized by the σ-donation from the Ng valence p orbital to the B53+ LUMO. These findings offer valuable clues toward the design and synthesis of new stable Ng-containing compounds.
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12
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Boguslawski K, Réal F, Tecmer P, Duperrouzel C, Gomes ASP, Legeza Ö, Ayers PW, Vallet V. On the multi-reference nature of plutonium oxides: PuO 22+, PuO 2, PuO 3 and PuO 2(OH) 2. Phys Chem Chem Phys 2018; 19:4317-4329. [PMID: 28116368 DOI: 10.1039/c6cp05429c] [Citation(s) in RCA: 19] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/19/2023]
Abstract
Actinide-containing complexes present formidable challenges for electronic structure methods due to the large number of degenerate or quasi-degenerate electronic states arising from partially occupied 5f and 6d shells. Conventional multi-reference methods can treat active spaces that are often at the upper limit of what is required for a proper treatment of species with complex electronic structures, leaving no room for verifying their suitability. In this work we address the issue of properly defining the active spaces in such calculations, and introduce a protocol to determine optimal active spaces based on the use of the Density Matrix Renormalization Group algorithm and concepts of quantum information theory. We apply the protocol to elucidate the electronic structure and bonding mechanism of volatile plutonium oxides (PuO3 and PuO2(OH)2), species associated with nuclear safety issues for which little is known about the electronic structure and energetics. We show how, within a scalar relativistic framework, orbital-pair correlations can be used to guide the definition of optimal active spaces which provide an accurate description of static/non-dynamic electron correlation, as well as to analyse the chemical bonding beyond a simple orbital model. From this bonding analysis we are able to show that the addition of oxo- or hydroxo-groups to the plutonium dioxide species considerably changes the π-bonding mechanism with respect to the bare triatomics, resulting in bent structures with a considerable multi-reference character.
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Affiliation(s)
- Katharina Boguslawski
- Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University in Torun, Grudziadzka 5, 87-100 Torun, Poland. and Faculty of Chemistry, Nicolaus Copernicus University in Torun, Gagarina 7, 87-100 Torun, Poland
| | - Florent Réal
- Univ. Lille, CNRS, UMR 8523 - PhLAM - Physique des Lasers Atomes et Molécules, F-59000 Lille, France.
| | - Paweł Tecmer
- Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University in Torun, Grudziadzka 5, 87-100 Torun, Poland.
| | - Corinne Duperrouzel
- Univ. Lille, CNRS, UMR 8523 - PhLAM - Physique des Lasers Atomes et Molécules, F-59000 Lille, France. and Department of Chemistry and Chemical Biology, McMaster University, 1280 Main Street West, Hamilton, L8S 4M1, Canada
| | | | - Örs Legeza
- Strongly Correlated Systems "Lendület" Research Group, Wigner Research Center for Physics, H-1525 Budapest, Hungary
| | - Paul W Ayers
- Department of Chemistry and Chemical Biology, McMaster University, 1280 Main Street West, Hamilton, L8S 4M1, Canada
| | - Valérie Vallet
- Univ. Lille, CNRS, UMR 8523 - PhLAM - Physique des Lasers Atomes et Molécules, F-59000 Lille, France.
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13
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Murg V, Verstraete F, Schneider R, Nagy PR, Legeza Ö. Tree Tensor Network State with Variable Tensor Order: An Efficient Multireference Method for Strongly Correlated Systems. J Chem Theory Comput 2016; 11:1027-36. [PMID: 25844072 PMCID: PMC4357235 DOI: 10.1021/ct501187j] [Citation(s) in RCA: 50] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/30/2014] [Indexed: 11/29/2022]
Abstract
![]()
We
study the tree-tensor-network-state (TTNS) method with variable
tensor orders for quantum chemistry. TTNS is a variational method
to efficiently approximate complete active space (CAS) configuration
interaction (CI) wave functions in a tensor product form. TTNS can
be considered as a higher order generalization of the matrix product
state (MPS) method. The MPS wave function is formulated as products
of matrices in a multiparticle basis spanning a truncated Hilbert
space of the original CAS-CI problem. These matrices belong to active
orbitals organized in a one-dimensional array, while tensors in TTNS
are defined upon a tree-like arrangement of the same orbitals. The
tree-structure is advantageous since the distance between two arbitrary
orbitals in the tree scales only logarithmically with the number of
orbitals N, whereas the scaling is linear in the MPS array. It is
found to be beneficial from the computational costs point of view
to keep strongly correlated orbitals in close vicinity in both arrangements;
therefore, the TTNS ansatz is better suited for multireference problems
with numerous highly correlated orbitals. To exploit the advantages
of TTNS a novel algorithm is designed to optimize the tree tensor
network topology based on quantum information theory and entanglement.
The superior performance of the TTNS method is illustrated on the
ionic-neutral avoided crossing of LiF. It is also shown that the avoided
crossing of LiF can be localized using only ground state properties,
namely one-orbital entanglement.
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14
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Lu JB, Jian J, Huang W, Lin H, Li J, Zhou M. Experimental and theoretical identification of the Fe(vii) oxidation state in FeO4−. Phys Chem Chem Phys 2016; 18:31125-31131. [DOI: 10.1039/c6cp06753k] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Two isomers of iron tetraoxygen anion, dioxoiron peroxide [(η2-O2)FeO2]− and tetroxide FeO4− were characterized by experiment and theoretical calculations, with heptavalent Fe(vii) oxidation state identified in the later.
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Affiliation(s)
- Jun-Bo Lu
- Department of Chemistry and Key Laboratory of Organic Optoelectronics & Molecular Engineering of Ministry of Education
- Tsinghua University
- Beijing 100084
- China
| | - Jiwen Jian
- Collaborative Innovation Center of Chemistry for Energy Materials
- Department of Chemistry
- Shanghai Key Laboratory of Molecular Catalysts and Innovative Materials
- Fudan University
- Shanghai 200433
| | - Wei Huang
- Department of Chemistry and Key Laboratory of Organic Optoelectronics & Molecular Engineering of Ministry of Education
- Tsinghua University
- Beijing 100084
- China
| | - Hailu Lin
- Collaborative Innovation Center of Chemistry for Energy Materials
- Department of Chemistry
- Shanghai Key Laboratory of Molecular Catalysts and Innovative Materials
- Fudan University
- Shanghai 200433
| | - Jun Li
- Department of Chemistry and Key Laboratory of Organic Optoelectronics & Molecular Engineering of Ministry of Education
- Tsinghua University
- Beijing 100084
- China
| | - Mingfei Zhou
- Collaborative Innovation Center of Chemistry for Energy Materials
- Department of Chemistry
- Shanghai Key Laboratory of Molecular Catalysts and Innovative Materials
- Fudan University
- Shanghai 200433
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15
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Dissecting the bond-formation process of d 10-metal–ethene complexes with multireference approaches. Theor Chem Acc 2015. [DOI: 10.1007/s00214-015-1726-3] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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16
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Ma Y, Wen J, Ma H. Density-matrix renormalization group algorithm with multi-level active space. J Chem Phys 2015. [DOI: 10.1063/1.4926833] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Yingjin Ma
- Key Laboratory of Mesoscopic Chemistry of MOE, School of Chemistry and Chemical Engineering, Institute of Theoretical and Computational Chemistry, Nanjing University, Nanjing 210093, China
| | - Jing Wen
- Key Laboratory of Mesoscopic Chemistry of MOE, School of Chemistry and Chemical Engineering, Institute of Theoretical and Computational Chemistry, Nanjing University, Nanjing 210093, China
| | - Haibo Ma
- Key Laboratory of Mesoscopic Chemistry of MOE, School of Chemistry and Chemical Engineering, Institute of Theoretical and Computational Chemistry, Nanjing University, Nanjing 210093, China
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17
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Duperrouzel C, Tecmer P, Boguslawski K, Barcza G, Legeza Ö, Ayers PW. A quantum informational approach for dissecting chemical reactions. Chem Phys Lett 2015. [DOI: 10.1016/j.cplett.2015.01.005] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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18
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Dresselhaus T, Neugebauer J, Knecht S, Keller S, Ma Y, Reiher M. Self-consistent embedding of density-matrix renormalization group wavefunctions in a density functional environment. J Chem Phys 2015; 142:044111. [DOI: 10.1063/1.4906152] [Citation(s) in RCA: 31] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Thomas Dresselhaus
- Westfälische Wilhelms-Universität Münster, Theoretische Organische Chemie, Organisch-Chemisches Institut and Center for Multiscale Theory and Computation, Corrensstraße 40, 48149 Münster, Germany
| | - Johannes Neugebauer
- Westfälische Wilhelms-Universität Münster, Theoretische Organische Chemie, Organisch-Chemisches Institut and Center for Multiscale Theory and Computation, Corrensstraße 40, 48149 Münster, Germany
| | - Stefan Knecht
- ETH Zürich, Laboratorium für Physikalische Chemie, Vladimir-Prelog-Weg 2, 8093 Zürich, Switzerland
| | - Sebastian Keller
- ETH Zürich, Laboratorium für Physikalische Chemie, Vladimir-Prelog-Weg 2, 8093 Zürich, Switzerland
| | - Yingjin Ma
- ETH Zürich, Laboratorium für Physikalische Chemie, Vladimir-Prelog-Weg 2, 8093 Zürich, Switzerland
| | - Markus Reiher
- ETH Zürich, Laboratorium für Physikalische Chemie, Vladimir-Prelog-Weg 2, 8093 Zürich, Switzerland
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19
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Olivares-Amaya R, Hu W, Nakatani N, Sharma S, Yang J, Chan GKL. Theab-initiodensity matrix renormalization group in practice. J Chem Phys 2015; 142:034102. [DOI: 10.1063/1.4905329] [Citation(s) in RCA: 231] [Impact Index Per Article: 25.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
| | - Weifeng Hu
- Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA
| | - Naoki Nakatani
- Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA
- Catalysis Research Center, Hokkaido University, Kita 21 Nishi 10, Sapporo, Hokkaido 001-0021, Japan
| | - Sandeep Sharma
- Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA
| | - Jun Yang
- Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA
| | - Garnet Kin-Lic Chan
- Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA
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20
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Tecmer P, Boguslawski K, Ayers PW. Singlet ground state actinide chemistry with geminals. Phys Chem Chem Phys 2015; 17:14427-36. [DOI: 10.1039/c4cp05293e] [Citation(s) in RCA: 27] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We present the first application of the variationally orbital optimized antisymmetric product of 1-reference orbital geminals (vOO-AP1roG) method to singlet-state actinide chemistry.
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Affiliation(s)
- Paweł Tecmer
- Department of Chemistry and Chemical Biology
- McMaster University
- Canada
| | | | - Paul W. Ayers
- Department of Chemistry and Chemical Biology
- McMaster University
- Canada
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21
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Kurashige Y, Chalupský J, Lan TN, Yanai T. Complete active space second-order perturbation theory with cumulant approximation for extended active-space wavefunction from density matrix renormalization group. J Chem Phys 2014; 141:174111. [DOI: 10.1063/1.4900878] [Citation(s) in RCA: 100] [Impact Index Per Article: 10.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Yuki Kurashige
- Department of Theoretical and Computational Molecular Science,
Institute for Molecular Science, Okazaki, Aichi 444-8585,
Japan
- The Graduate University for Advanced Studies, Myodaiji, Okazaki, Aichi 444-8585, Japan
- Japan Science and Technology Agency,
PRESTO, 4-1-8 Honcho, Kawaguchi, Saitama 332-0012, Japan
| | - Jakub Chalupský
- Department of Theoretical and Computational Molecular Science,
Institute for Molecular Science, Okazaki, Aichi 444-8585,
Japan
| | - Tran Nguyen Lan
- The Graduate University for Advanced Studies, Myodaiji, Okazaki, Aichi 444-8585, Japan
| | - Takeshi Yanai
- Department of Theoretical and Computational Molecular Science,
Institute for Molecular Science, Okazaki, Aichi 444-8585,
Japan
- The Graduate University for Advanced Studies, Myodaiji, Okazaki, Aichi 444-8585, Japan
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22
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Boguslawski K, Tecmer P, Bultinck P, De Baerdemacker S, Van Neck D, Ayers PW. Nonvariational Orbital Optimization Techniques for the AP1roG Wave Function. J Chem Theory Comput 2014; 10:4873-82. [DOI: 10.1021/ct500759q] [Citation(s) in RCA: 45] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/27/2023]
Affiliation(s)
- Katharina Boguslawski
- Department
of Chemistry and Chemical Biology, McMaster University, 1280 Main
Street West, Hamilton, L8S 4M1 Ontario, Canada
| | - Paweł Tecmer
- Department
of Chemistry and Chemical Biology, McMaster University, 1280 Main
Street West, Hamilton, L8S 4M1 Ontario, Canada
| | - Patrick Bultinck
- Department
of Inorganic and Physical Chemistry, Ghent University, Krijgslaan
281 (S3), 9000 Gent, East Flanders, Belgium
| | - Stijn De Baerdemacker
- Center
for Molecular Modelling, Ghent University, Technologiepark 903, 9052 Gent, East
Flanders, Belgium
| | - Dimitri Van Neck
- Center
for Molecular Modelling, Ghent University, Technologiepark 903, 9052 Gent, East
Flanders, Belgium
| | - Paul W. Ayers
- Department
of Chemistry and Chemical Biology, McMaster University, 1280 Main
Street West, Hamilton, L8S 4M1 Ontario, Canada
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23
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Tecmer P, Severo Pereira Gomes A, Knecht S, Visscher L. Communication: Relativistic Fock-space coupled cluster study of small building blocks of larger uranium complexes. J Chem Phys 2014; 141:041107. [DOI: 10.1063/1.4891801] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/07/2023] Open
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24
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Tecmer P, Boguslawski K, Johnson PA, Limacher PA, Chan M, Verstraelen T, Ayers PW. Assessing the Accuracy of New Geminal-Based Approaches. J Phys Chem A 2014; 118:9058-68. [PMID: 24745368 DOI: 10.1021/jp502127v] [Citation(s) in RCA: 60] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/27/2023]
Affiliation(s)
- Paweł Tecmer
- Department
of Chemistry and Chemical Biology, McMaster University, 1280 Main
Street West, L8S 4M1, Hamilton, Ontario, Canada
| | - Katharina Boguslawski
- Department
of Chemistry and Chemical Biology, McMaster University, 1280 Main
Street West, L8S 4M1, Hamilton, Ontario, Canada
| | - Paul A. Johnson
- Department
of Chemistry and Chemical Biology, McMaster University, 1280 Main
Street West, L8S 4M1, Hamilton, Ontario, Canada
| | - Peter A. Limacher
- Department
of Chemistry and Chemical Biology, McMaster University, 1280 Main
Street West, L8S 4M1, Hamilton, Ontario, Canada
| | - Matthew Chan
- Department
of Chemistry and Chemical Biology, McMaster University, 1280 Main
Street West, L8S 4M1, Hamilton, Ontario, Canada
| | - Toon Verstraelen
- Center
for Molecular Modeling, QCMM Alliance Ghent-Brussels, Ghent University, Technologiepark
903, Zwijnaarde 9052, Belgium
| | - Paul W. Ayers
- Department
of Chemistry and Chemical Biology, McMaster University, 1280 Main
Street West, L8S 4M1, Hamilton, Ontario, Canada
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25
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Lan TN, Kurashige Y, Yanai T. Toward Reliable Prediction of Hyperfine Coupling Constants Using Ab Initio Density Matrix Renormalization Group Method: Diatomic 2Σ and Vinyl Radicals as Test Cases. J Chem Theory Comput 2014; 10:1953-67. [DOI: 10.1021/ct400978j] [Citation(s) in RCA: 31] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Tran Nguyen Lan
- The Graduate University for Advanced Studies, Myodaiji, Okazaki, Aichi 444-8585, Japan
| | - Yuki Kurashige
- The Graduate University for Advanced Studies, Myodaiji, Okazaki, Aichi 444-8585, Japan
- Department
of Theoretical and Computational Molecular Science, Institute for Molecular Science, Okazaki, Aichi 444-8585, Japan
| | - Takeshi Yanai
- The Graduate University for Advanced Studies, Myodaiji, Okazaki, Aichi 444-8585, Japan
- Department
of Theoretical and Computational Molecular Science, Institute for Molecular Science, Okazaki, Aichi 444-8585, Japan
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26
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Knecht S, Legeza Ö, Reiher M. Communication: Four-component density matrix renormalization group. J Chem Phys 2014; 140:041101. [DOI: 10.1063/1.4862495] [Citation(s) in RCA: 67] [Impact Index Per Article: 6.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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27
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Mottet M, Tecmer P, Boguslawski K, Legeza Ö, Reiher M. Quantum entanglement in carbon–carbon, carbon–phosphorus and silicon–silicon bonds. Phys Chem Chem Phys 2014; 16:8872-80. [DOI: 10.1039/c4cp00277f] [Citation(s) in RCA: 36] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/22/2022]
Abstract
We present a quantum entanglement analysis to dissect the bond orders in polyatomic molecules.
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Affiliation(s)
- Matthieu Mottet
- ETH Zürich
- Laboratory of Physical Chemistry
- CH-8093 Zürich, Switzerland
| | - Paweł Tecmer
- ETH Zürich
- Laboratory of Physical Chemistry
- CH-8093 Zürich, Switzerland
| | | | - Örs Legeza
- Strongly Correlated Systems “Lendület” Research Group
- Wigner Research Center for Physics
- H-1525 Budapest, Hungary
| | - Markus Reiher
- ETH Zürich
- Laboratory of Physical Chemistry
- CH-8093 Zürich, Switzerland
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