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Valentine AJ, Taylor LJ, Geer AM, Huke CD, Wood KE, Tovey W, Lewis W, Argent SP, Teale AM, McMaster J, Kays DL. Structural and Electronic Studies of Substituted m-Terphenyl Group 12 Complexes. Organometallics 2022; 41:1426-1433. [PMID: 36157255 PMCID: PMC9490839 DOI: 10.1021/acs.organomet.2c00156] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/30/2022] [Indexed: 12/03/2022]
Abstract
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The effects of para-substitution on the structural
and electronic properties of four series of two-coordinate m-terphenyl Group 12 complexes (R-Ar#)2M (M = Zn, Cd, Hg; R = t-Bu 1–3, SiMe34–6,
Cl 7–9, CF310–12, where R-Ar# = 2,6-{2,6-Xyl}2-4-R-C6H2 and 2,6-Xyl = 2,6-Me2C6H3) have been investigated. X-ray crystallography
shows little structural variation across the series, with no significant
change in the C–M–C bond distances and angles. However,
considerable electronic differences are revealed by heteronuclear
nuclear magnetic resonance (NMR) spectroscopy; a linear correlation
is observed between the 113Cd, 199Hg, and 1H (2,6-Xyl methyl protons) NMR chemical shifts of the para-substituted complexes and the Hammett constants for
the R-substituents. Specifically, an upfield shift in the NMR signal
is observed with increasingly electron-withdrawing R-substituents.
Density functional theory (DFT) calculations are employed to attempt
to rationalize these trends.
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Affiliation(s)
- Andrew J. Valentine
- School of Chemistry, University of Nottingham, University Park, Nottingham NG7 2RD, U.K
| | - Laurence J. Taylor
- School of Chemistry, University of Nottingham, University Park, Nottingham NG7 2RD, U.K
| | - Ana M. Geer
- Departamento de Química Inorgánica, Instituto de Síntesis Química y Catálisis Homogénea (ISQCH), CSIC Universidad de Zaragoza, Pedro Cerbuna 12, 50009 Zaragoza, Spain
| | - Cameron D. Huke
- School of Chemistry, University of Nottingham, University Park, Nottingham NG7 2RD, U.K
| | - Katherine E. Wood
- School of Chemistry, University of Nottingham, University Park, Nottingham NG7 2RD, U.K
| | - Will Tovey
- School of Chemistry, University of Nottingham, University Park, Nottingham NG7 2RD, U.K
| | - William Lewis
- School of Chemistry, The University of Sydney, F11, Eastern Avenue, Sydney, NSW 2006, Australia
| | - Stephen P. Argent
- School of Chemistry, University of Nottingham, University Park, Nottingham NG7 2RD, U.K
| | - Andrew M. Teale
- School of Chemistry, University of Nottingham, University Park, Nottingham NG7 2RD, U.K
| | - Jonathan McMaster
- School of Chemistry, University of Nottingham, University Park, Nottingham NG7 2RD, U.K
| | - Deborah L. Kays
- School of Chemistry, University of Nottingham, University Park, Nottingham NG7 2RD, U.K
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2
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Aucar IA, Borschevsky A. Relativistic study of parity-violating nuclear spin-rotation tensors. J Chem Phys 2021; 155:134307. [PMID: 34624973 DOI: 10.1063/5.0065487] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We present a four-component relativistic approach to describe the effects of the nuclear spin-dependent parity-violating (PV) weak nuclear forces on nuclear spin-rotation (NSR) tensors. The formalism is derived within the four-component polarization propagator theory based on the Dirac-Coulomb Hamiltonian. Such calculations are important for planning and interpretation of possible future experiments aimed at stringent tests of the standard model through the observation of PV effects in NSR spectroscopy. An exploratory application of this theory to the chiral molecules H2X2 (X = 17O, 33S, 77Se, 125Te, and 209Po) illustrates the dramatic effect of relativity on these contributions. In particular, spin-free and spin-orbit effects are even of opposite signs for some dihedral angles, and the latter fully dominate for the heavier nuclei. Relativistic four-component calculations of isotropic nuclear spin-rotation constants, including parity-violating electroweak interactions, give frequency differences of up to 4.2 mHz between the H2Po2 enantiomers; on the nonrelativistic level of theory, this energy difference is 0.1 mHz only.
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Affiliation(s)
- Ignacio Agustín Aucar
- Instituto de Modelado e Innovación Tecnológica (UNNE-CONICET), Facultad de Ciencias Exactas y Naturales y Agrimensura, Universidad Nacional del Nordeste, Avda. Libertad, 5460 Corrientes, Argentina
| | - Anastasia Borschevsky
- Faculty of Science and Engineering, Van Swinderen Institute for Particle Physics and Gravity, University of Groningen, 9747 AG Groningen, The Netherlands
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3
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Desmarais JK, Komorovsky S, Flament JP, Erba A. Spin–orbit coupling from a two-component self-consistent approach. II. Non-collinear density functional theories. J Chem Phys 2021; 154:204110. [DOI: 10.1063/5.0051447] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022] Open
Affiliation(s)
- Jacques K. Desmarais
- Dipartimento di Chimica, Università di Torino, via Giuria 5, 10125 Torino, Italy
- Université de Pau et des Pays de l’Adour, E2S UPPA, CNRS, IPREM, Pau, France
| | - Stanislav Komorovsky
- Institute of Inorganic Chemistry, Slovak Academy of Sciences, Dúbravská cesta 9, SK-84536 Bratislava, Slovakia
| | - Jean-Pierre Flament
- Université de Lille, CNRS, UMR 8523—PhLAM—Physique des Lasers, Atomes et Molécules, 59000 Lille, France
| | - Alessandro Erba
- Dipartimento di Chimica, Università di Torino, via Giuria 5, 10125 Torino, Italy
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4
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Valentine AJ, Geer AM, Taylor LJ, Teale AM, Wood KE, Williams HEL, Lewis W, Argent SP, McMaster J, Kays DL. Structural and electronic studies of substituted m-terphenyl lithium complexes. Dalton Trans 2021; 50:722-728. [DOI: 10.1039/d0dt03972a] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Spectroscopic and computational investigation of the effects of para-substituted m-terphenyl lithium complexes reveals significant electronic differences at the metal centre.
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Affiliation(s)
| | - Ana M. Geer
- Departamento de Química Inorgánica
- Instituto de Síntesis Química y Catálisis Homogénea (ISQCH)
- CSIC
- Universidad de Zaragoza
- 50009 Zaragoza
| | | | - Andrew M. Teale
- School of Chemistry
- University of Nottingham
- University Park
- Nottingham
- UK
| | - Katherine E. Wood
- School of Chemistry
- University of Nottingham
- University Park
- Nottingham
- UK
| | - Huw E. L. Williams
- Centre for Biomolecular Sciences
- University of Nottingham
- University Park
- Nottingham
- UK
| | - William Lewis
- School of Chemistry
- The University of Sydney
- Sydney
- Australia
| | - Stephen P. Argent
- School of Chemistry
- University of Nottingham
- University Park
- Nottingham
- UK
| | - Jonathan McMaster
- School of Chemistry
- University of Nottingham
- University Park
- Nottingham
- UK
| | - Deborah L. Kays
- School of Chemistry
- University of Nottingham
- University Park
- Nottingham
- UK
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5
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Komorovsky S, Jakubowska K, Świder P, Repisky M, Jaszuński M. NMR Spin–Spin Coupling Constants Derived from Relativistic Four-Component DFT Theory—Analysis and Visualization. J Phys Chem A 2020; 124:5157-5169. [DOI: 10.1021/acs.jpca.0c02807] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Stanislav Komorovsky
- Institute of Inorganic Chemistry, Slovak Academy of Sciences, Dubravska cesta 9, Bratislava 845 36, Slovakia
| | | | - Paweł Świder
- Institute of Organic Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warszawa 01-224, Poland
| | - Michal Repisky
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, UiT − The Arctic University of Norway, Tromsø N-9037, Norway
| | - Michał Jaszuński
- Institute of Organic Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warszawa 01-224, Poland
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6
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Repisky M, Komorovsky S, Kadek M, Konecny L, Ekström U, Malkin E, Kaupp M, Ruud K, Malkina OL, Malkin VG. ReSpect: Relativistic spectroscopy DFT program package. J Chem Phys 2020; 152:184101. [DOI: 10.1063/5.0005094] [Citation(s) in RCA: 47] [Impact Index Per Article: 11.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/05/2023] Open
Affiliation(s)
- Michal Repisky
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, UiT The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Stanislav Komorovsky
- Institute of Inorganic Chemistry, Slovak Academy of Sciences, Dubravska cesta 9, SK-84536 Bratislava, Slovakia
| | - Marius Kadek
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, UiT The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Lukas Konecny
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, UiT The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Ulf Ekström
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, University of Oslo, N-0315 Oslo, Norway
| | - Elena Malkin
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, UiT The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Martin Kaupp
- Technische Universität Berlin, Institute of Chemistry, Strasse des 17 Juni 135, D-10623 Berlin, Germany
| | - Kenneth Ruud
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, UiT The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Olga L. Malkina
- Institute of Inorganic Chemistry, Slovak Academy of Sciences, Dubravska cesta 9, SK-84536 Bratislava, Slovakia
| | - Vladimir G. Malkin
- Institute of Inorganic Chemistry, Slovak Academy of Sciences, Dubravska cesta 9, SK-84536 Bratislava, Slovakia
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7
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Iliaš M, Pershina V. Carbonyl compounds of Rh, Ir, and Mt: electronic structure, bonding and volatility. Phys Chem Chem Phys 2020. [DOI: 10.1039/d0cp02118k] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
First bond dissociation energies and other properties have been predicted for carbonyl compounds of group-9 elements including those of element 109, Mt, from relativistic DFT and CC calculations. A remarkable Λ-shape of the trends is observed, caused by strong relativistic effects on the valence AOs of Mt.
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Affiliation(s)
- M. Iliaš
- Helmholtz Institute Mainz
- Johannes Gutenberg-Universität
- 55099 Mainz
- Germany
- Department of Chemistry
| | - V. Pershina
- GSI Helmholtzzentrum für Schwerionenforschung GmbH
- 64291 Darmstadt
- Germany
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8
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Konecny L, Repisky M, Ruud K, Komorovsky S. Relativistic four-component linear damped response TDDFT for electronic absorption and circular dichroism calculations. J Chem Phys 2019; 151:194112. [DOI: 10.1063/1.5128564] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022] Open
Affiliation(s)
- Lukas Konecny
- Hylleraas Centre for Quantum Molecular Sciences, UiT The Arctic University of Norway, 9037 Tromsø, Norway
- Department of Inorganic Chemistry, Faculty of Natural Sciences, Comenius University, Bratislava, Slovakia
| | - Michal Repisky
- Hylleraas Centre for Quantum Molecular Sciences, UiT The Arctic University of Norway, 9037 Tromsø, Norway
| | - Kenneth Ruud
- Hylleraas Centre for Quantum Molecular Sciences, UiT The Arctic University of Norway, 9037 Tromsø, Norway
| | - Stanislav Komorovsky
- Institute of Inorganic Chemistry, Slovak Academy of Sciences, Bratislava, Slovakia
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9
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Komorovsky S, Cherry PJ, Repisky M. Four-component relativistic time-dependent density-functional theory using a stable noncollinear DFT ansatz applicable to both closed- and open-shell systems. J Chem Phys 2019; 151:184111. [DOI: 10.1063/1.5121713] [Citation(s) in RCA: 21] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/31/2022] Open
Affiliation(s)
- Stanislav Komorovsky
- Institute of Inorganic Chemistry, Slovak Academy of Sciences, Dúbravská cesta 9, SK-84536 Bratislava, Slovakia
| | - Peter J. Cherry
- Institute of Inorganic Chemistry, Slovak Academy of Sciences, Dúbravská cesta 9, SK-84536 Bratislava, Slovakia
| | - Michal Repisky
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, UiT–The Arctic University of Norway, Tromsø, Norway
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10
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On the development of the exact two-component relativistic method for calculating indirect NMR spin-spin coupling constants. Chem Phys 2019. [DOI: 10.1016/j.chemphys.2018.09.039] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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11
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Pershina V, Iliaš M. Carbonyl compounds of Tc, Re, and Bh: Electronic structure, bonding, and volatility. J Chem Phys 2018; 149:204306. [PMID: 30501238 DOI: 10.1063/1.5055066] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Calculations of molecular properties of M(CO)5 and MH(CO)5, where M = Tc, Re, and Bh, and of the products of their decomposition, M(CO)4 and MH(CO)4, were performed using density functional theory and coupled-cluster methods implemented in the relativistic program suits such as ADF, DIRAC, and ReSpect. The calculated first M-CO bond dissociation energies (FBDEs) of Bh(CO)5 and BhH(CO)5 turned out to be significantly weaker than those of the corresponding Re homologs. The reason for that is the relativistic destabilization and expansion of the 6d AOs, responsible for weaker σ-forth and π-back donations in the Bh compounds. The relativistic FBDEs of M(CO)5 have, therefore, a Λ-shape behavior in the row Tc-Re-Bh, while the non-relativistic values increase toward Bh. Using the results of the molecular calculations and a molecule-slab interaction model, adsorption enthalpies, ΔH ads, of group-7 carbonyl hydrides on quartz and Teflon were estimated for future gas-phase chromatography experiments. It was found that BhH(CO)5 should be almost as volatile as the homologs, although its interaction with the surfaces should be somewhat stronger than that of MH(CO)5 (M = Tc and Re), while the M(CO)4 (M = Tc, Re, and Bh) molecules should be non-volatile. It will, therefore, be difficult to distinguish between the group-7 MH(CO)5 species by measuring their ΔH ads on surfaces of Teflon and quartz with an error bar of ±4 kJ/mol. The trends in properties and ΔH ads of group-7 carbonyl hydrides are similar to those of group-8 carbonyls of Ru, Os, and Hs.
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Affiliation(s)
- V Pershina
- GSI Helmholtzzentrum für Schwerionenforschung GmbH, Planckstrasse 1, 64291 Darmstadt, Germany
| | - M Iliaš
- Helmholtz Institute Mainz, Johannes Gutenberg-Universität, 55099 Mainz, Mainz, Germany
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12
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Konecny L, Kadek M, Komorovsky S, Ruud K, Repisky M. Resolution-of-identity accelerated relativistic two- and four-component electron dynamics approach to chiroptical spectroscopies. J Chem Phys 2018; 149:204104. [PMID: 30501232 DOI: 10.1063/1.5051032] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We present an implementation and application of electron dynamics based on real-time time-dependent density functional theory (RT-TDDFT) and relativistic 2-component X2C and 4-component Dirac-Coulomb (4c) Hamiltonians to the calculation of electron circular dichroism and optical rotatory dispersion spectra. In addition, the resolution-of-identity approximation for the Coulomb term (RI-J) is introduced into RT-TDDFT and formulated entirely in terms of complex quaternion algebra. The proposed methodology was assessed on the dimethylchalcogenirane series, C4H8X (X = O, S, Se, Te, Po, Lv), and the spectra obtained by non-relativistic and relativistic methods start to disagree for Se and Te, while dramatic differences are observed for Po and Lv. The X2C approach, even in its simplest one-particle form, reproduces the reference 4c results surprisingly well across the entire series while offering an 8-fold speed-up of the simulations. An overall acceleration of RT-TDDFT by means of X2C and RI-J increases with system size and approaches a factor of almost 25 when compared to the full 4c treatment, without compromising the accuracy of the final spectra. These results suggest that one-particle X2C electron dynamics with RI-J acceleration is an attractive method for the calculation of chiroptical spectra in the valence region.
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Affiliation(s)
- Lukas Konecny
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, University of Tromsø-The Arctic University of Norway, Tromsø, Norway
| | - Marius Kadek
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, University of Tromsø-The Arctic University of Norway, Tromsø, Norway
| | - Stanislav Komorovsky
- Institute of Inorganic Chemistry, Slovak Academy of Sciences, Bratislava, Slovakia
| | - Kenneth Ruud
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, University of Tromsø-The Arctic University of Norway, Tromsø, Norway
| | - Michal Repisky
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, University of Tromsø-The Arctic University of Norway, Tromsø, Norway
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13
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Abstract
The foundations, formalisms, technicalities, and practicalities of relativistic time-dependent density functional theories (R-TD-DFT) for spinor excited states of molecular systems containing heavy elements are critically reviewed.
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Affiliation(s)
- Wenjian Liu
- Beijing National Center for Molecular Sciences
- Institute of Theoretical and Computational Chemistry
- College of Chemistry and Molecular Engineering
- Peking University
- Beijing 100871
| | - Yunlong Xiao
- Beijing National Center for Molecular Sciences
- Institute of Theoretical and Computational Chemistry
- College of Chemistry and Molecular Engineering
- Peking University
- Beijing 100871
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14
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Aucar IA, Giménez CA, Aucar GA. Influence of the nuclear charge distribution and electron correlation effects on magnetic shieldings and spin-rotation tensors of linear molecules. RSC Adv 2018; 8:20234-20249. [PMID: 35541654 PMCID: PMC9080724 DOI: 10.1039/c8ra03948h] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/08/2018] [Accepted: 05/13/2018] [Indexed: 12/02/2022] Open
Abstract
The nuclear charge distribution effects (NChDE) on two response properties, the NMR magnetic shielding (σ) and the nuclear spin-rotation (SR) constants (M), are analyzed. We do it employing point-like and Gaussian-like models for describing the nuclear charge density of three linear molecules: HBr, HI and HAt. According to our results, both properties are sensitive to the NChDE. We show that the NChDE are almost completely relativistic, i.e., they nearly vanish in the non-relativistic limit of both properties. We calculated the NChDE on σ and M, and analyzed the differences between them in terms of a relativistic relation between these two properties. Using that relation we found that the electronic core mechanisms are the main ones for the NChDE on the shielding of nuclei of both, molecules and free atoms. The NChDE are smaller on SR constants than on shieldings. Nevertheless, within the relativistic polarization propagator formalism at the RPA level of approach they are very important for SR constants of nuclei in heavy-atom-containing compounds. Astatine in HAt has the largest influence: MAt = −9.95 kHz for a point-like model and −50.10 kHz for a Gaussian-like model. Correlation effects must be included and we do it using different DFT schemes. The PBE0 functional gives results that are closest to experiments for Br and I, though the LDA gives the closest for hydrogen. The value of the SR constant of At is reduced among 350 kHz and 500 kHz from its RPA value, when different and usual functionals are applied. Given that the NChDE on M and σ are mostly relativistic in their origin, these effects are also dependent on electron correlation. They have also a nonvanishing dependence with the Gaunt electron–electron interactions. The origin and the size of both, electron correlation and nuclear charge distribution on shieldings and spin-rotations of heavy-atom containing linear molecules are shown. The analysis is performed on the relativistic and non relativistic regimes.![]()
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Affiliation(s)
- I. Agustín Aucar
- Instituto de Modelado e Innovación Tecnológica
- CONICET
- Departamento de Física – Facultad de Ciencias Exactas y Naturales
- UNNE
- Corrientes
| | - Carlos A. Giménez
- Instituto de Modelado e Innovación Tecnológica
- CONICET
- Departamento de Física – Facultad de Ciencias Exactas y Naturales
- UNNE
- Corrientes
| | - Gustavo A. Aucar
- Instituto de Modelado e Innovación Tecnológica
- CONICET
- Departamento de Física – Facultad de Ciencias Exactas y Naturales
- UNNE
- Corrientes
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15
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Rabanal-León WA, Tiznado W, Osorio E, Ferraro F. Exploring the potential energy surface of small lead clusters using the gradient embedded genetic algorithm and an adequate treatment of relativistic effects. RSC Adv 2018. [DOI: 10.1039/c7ra11449d] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022] Open
Abstract
Theoretical inclusion of relativistic effects (scalar and spin–orbit) play a crucial role to assure an adequate structural assignment on lead clusters.
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Affiliation(s)
- Walter A. Rabanal-León
- Departamento de Ciencias Químicas
- Facultad Ciencias Exactas
- Universidad Andres Bello
- Santiago
- Chile
| | - William Tiznado
- Departamento de Ciencias Químicas
- Facultad Ciencias Exactas
- Universidad Andres Bello
- Santiago
- Chile
| | - Edison Osorio
- Departamento de Ciencias Básicas
- Universidad Católica Luis Amigó
- Medellín
- Colombia
| | - Franklin Ferraro
- Departamento de Ciencias Básicas
- Universidad Católica Luis Amigó
- Medellín
- Colombia
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16
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Uhlíková T, Urban Š. Ab initio NMR parameters of BrCH3 and ICH3 with relativistic and vibrational corrections. Mol Phys 2017. [DOI: 10.1080/00268976.2017.1416194] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
Affiliation(s)
- Tereza Uhlíková
- Department of Analytical Chemistry, University of Chemistry and Technology, Technická 5, 166 28 Prague 6, Czech Republic
| | - Štěpán Urban
- Department of Analytical Chemistry, University of Chemistry and Technology, Technická 5, 166 28 Prague 6, Czech Republic
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17
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Pershina V, Iliaš M. Penta- and tetracarbonyls of Ru, Os, and Hs: Electronic structure, bonding, and volatility. J Chem Phys 2017. [DOI: 10.1063/1.4983125] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/31/2023] Open
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18
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Jaszuński M, Antušek A, Demissie TB, Komorovsky S, Repisky M, Ruud K. Indirect NMR spin–spin coupling constants in diatomic alkali halides. J Chem Phys 2016; 145:244308. [DOI: 10.1063/1.4972892] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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19
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Repisky M, Komorovsky S, Bast R, Ruud K. Relativistic Calculations of Nuclear Magnetic Resonance Parameters. GAS PHASE NMR 2016. [DOI: 10.1039/9781782623816-00267] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/28/2023]
Abstract
Relativistic effects are important for the accurate evaluation of the observables of nuclear magnetic resonance (NMR) spectroscopy, the nuclear magnetic shielding and the indirect spin–spin coupling tensors. Some of the most notable relativistic effects, in particular for light elements in the vicinity of heavy nuclei, are due to spin–orbit effects, an effect difficult to evaluate when starting from a non-relativistic wavefunction. Two- and four-component relativistic methods include spin–orbit effects variationally, and the recent improvements in the computational efficiency of these methods open new opportunities for accurate calculations of NMR parameters also for molecules with heavy elements. We here present an overview of the different approximations that have been introduced for calculating relativistic effects with two- and four-component methods and how these methods can be used to calculate the NMR parameters. We will also give some examples of systems that have been studied computationally with two- and four-component relativistic methods and discuss the importance of relativistic effects on the shielding and indirect spin–spin coupling constants.
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Affiliation(s)
- Michal Repisky
- Centre for Theoretical and Computational Chemistry (CTCC), Department of Chemistry UiT The Arctic University of Norway N-9037 Tromsø Norway
| | - Stanislav Komorovsky
- Centre for Theoretical and Computational Chemistry (CTCC), Department of Chemistry UiT The Arctic University of Norway N-9037 Tromsø Norway
| | - Radovan Bast
- Centre for Theoretical and Computational Chemistry (CTCC), Department of Chemistry UiT The Arctic University of Norway N-9037 Tromsø Norway
| | - Kenneth Ruud
- Centre for Theoretical and Computational Chemistry (CTCC), Department of Chemistry UiT The Arctic University of Norway N-9037 Tromsø Norway
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20
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Adrjan B, Makulski W, Jackowski K, Demissie TB, Ruud K, Antušek A, Jaszuński M. NMR absolute shielding scale and nuclear magnetic dipole moment of 207Pb. Phys Chem Chem Phys 2016; 18:16483-90. [DOI: 10.1039/c6cp01781a] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
A new absolute shielding scale is proposed for 207Pb nuclear magnetic resonance (NMR) spectroscopy.
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Affiliation(s)
- Bożena Adrjan
- Laboratory of NMR Spectroscopy
- Department of Chemistry
- University of Warsaw
- 02-093 Warsaw
- Poland
| | - Włodzimierz Makulski
- Laboratory of NMR Spectroscopy
- Department of Chemistry
- University of Warsaw
- 02-093 Warsaw
- Poland
| | - Karol Jackowski
- Laboratory of NMR Spectroscopy
- Department of Chemistry
- University of Warsaw
- 02-093 Warsaw
- Poland
| | - Taye B. Demissie
- Centre for Theoretical and Computational Chemistry
- Department of Chemistry
- UiT The Arctic University of Norway
- N-9037 Tromsø
- Norway
| | - Kenneth Ruud
- Centre for Theoretical and Computational Chemistry
- Department of Chemistry
- UiT The Arctic University of Norway
- N-9037 Tromsø
- Norway
| | - Andrej Antušek
- ATRI
- Faculty of Materials Science and Technology in Trnava
- Slovak University of Technology in Bratislava
- 917 24 Trnava
- Slovak Republic
| | - Michał Jaszuński
- Institute of Organic Chemistry
- Polish Academy of Sciences
- Kasprzaka 44
- Poland
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21
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Demissie TB. Theoretical analysis of NMR shieldings in XSe and XTe (X = Si, Ge, Sn and Pb): the spin-rotation constant saga. Phys Chem Chem Phys 2016; 18:3112-23. [DOI: 10.1039/c5cp07025b] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
How the electronic contribution to the spin-rotation constant is close to the paramagnetic contribution of the NMR absolute shielding constant?
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Affiliation(s)
- Taye Beyene Demissie
- Centre for Theoretical and Computational Chemistry
- Department of Chemistry
- UiT The Arctic University of Norway
- N-9037 Tromsø
- Norway
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22
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Abstract
Abstract
Any quantum mechanical calculation on electronic structure ought to choose first an appropriate Hamiltonian H and then an Ansatz for parameterizing the wave function Ψ, from which the desired energy/property E(λ) can finally be calculated. Therefore, the very first question is: what is the most accurate many-electron Hamiltonian H? It is shown that such a Hamiltonian i.e. effective quantum electrodynamics (eQED) Hamiltonian, can be obtained naturally by incorporating properly the charge conjugation symmetry when normal ordering the second quantized fermion operators. Taking this eQED Hamiltonian as the basis, various approximate relativistic many-electron Hamiltonians can be obtained based entirely on physical arguments. All these Hamiltonians together form a complete and continuous ‘Hamiltonian ladder’, from which one can pick up the right one according to the target physics and accuracy. As for the many-electron wave function Ψ, the most intriguing questions are as follows. (i) How to do relativistic explicit correlation? (ii) How to handle strong correlation? Both general principles and practical strategies are outlined here to handle these issues. Among the electronic properties E(λ) that sample the electronic wave function nearby the nuclear region, nuclear magnetic resonance (NMR) shielding and nuclear spin-rotation (NSR) coupling constant are especially challenging: they require body-fixed molecular Hamiltonians that treat both the electrons and nuclei as relativistic quantum particles. Nevertheless, they have been formulated rigorously. In particular, a very robust ‘relativistic mapping’ between the two properties has been established, which can translate experimentally measured NSR coupling constants to very accurate absolute NMR shielding scales that otherwise cannot be obtained experimentally. Since the most general and fundamental issues pertinent to all the three components of the quantum mechanical equation HΨ = EΨ (i.e. Hamiltonian H, wave function Ψ, and energy/property E(λ)) have fully been understood, the big picture of relativistic molecular quantum mechanics can now be regarded as established.
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Affiliation(s)
- Wenjian Liu
- Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, State Key Laboratory of Rare Earth Materials Chemistry and Applications, College of Chemistry and Molecular Engineering, and Center for Computational Science and Engineering, Peking University, Beijing 100871, China
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23
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Casella G, Bagno A, Komorovsky S, Repisky M, Saielli G. Four-Component Relativistic DFT Calculations of 13
C Chemical Shifts of Halogenated Natural Substances. Chemistry 2015; 21:18834-40. [DOI: 10.1002/chem.201502252] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/09/2015] [Indexed: 11/05/2022]
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24
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Demissie TB, Jaszuński M, Komorovsky S, Repisky M, Ruud K. Absolute NMR shielding scales and nuclear spin–rotation constants in 175LuX and 197AuX (X = 19F, 35Cl, 79Br and 127I). J Chem Phys 2015; 143:164311. [DOI: 10.1063/1.4934533] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Taye B. Demissie
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, UiT The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Michał Jaszuński
- Institute of Organic Chemistry, Polish Academy of Sciences, Kasprzaka 44, 01 224 Warszawa, Poland
| | - Stanislav Komorovsky
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, UiT The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Michal Repisky
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, UiT The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Kenneth Ruud
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, UiT The Arctic University of Norway, N-9037 Tromsø, Norway
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25
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Vícha J, Novotný J, Straka M, Repisky M, Ruud K, Komorovsky S, Marek R. Structure, solvent, and relativistic effects on the NMR chemical shifts in square-planar transition-metal complexes: assessment of DFT approaches. Phys Chem Chem Phys 2015; 17:24944-55. [DOI: 10.1039/c5cp04214c] [Citation(s) in RCA: 68] [Impact Index Per Article: 7.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/28/2023]
Abstract
The role of various factors (geometry, solvent, relativistic treatment, functional) influencing the relativistic NMR chemical shift calculations for square-planar transition-metal complexes.
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Affiliation(s)
- Jan Vícha
- CEITEC – Central European Institute of Technology
- Masaryk University
- CZ-62500 Brno
- Czech Republic
- Centre of Polymer Systems
| | - Jan Novotný
- CEITEC – Central European Institute of Technology
- Masaryk University
- CZ-62500 Brno
- Czech Republic
| | - Michal Straka
- CEITEC – Central European Institute of Technology
- Masaryk University
- CZ-62500 Brno
- Czech Republic
- Institute of Organic Chemistry and Biochemistry
| | - Michal Repisky
- Centre for Theoretical and Computational Chemistry
- Department of Chemistry
- UiT – The Arctic University of Norway
- N-9037 Tromsø
- Norway
| | - Kenneth Ruud
- Centre for Theoretical and Computational Chemistry
- Department of Chemistry
- UiT – The Arctic University of Norway
- N-9037 Tromsø
- Norway
| | - Stanislav Komorovsky
- Centre for Theoretical and Computational Chemistry
- Department of Chemistry
- UiT – The Arctic University of Norway
- N-9037 Tromsø
- Norway
| | - Radek Marek
- CEITEC – Central European Institute of Technology
- Masaryk University
- CZ-62500 Brno
- Czech Republic
- Department of Chemistry
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