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Franzke YJ, Holzer C. Exact two-component theory becoming an efficient tool for NMR shieldings and shifts with spin-orbit coupling. J Chem Phys 2023; 159:184102. [PMID: 37937936 DOI: 10.1063/5.0171509] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/09/2023] [Accepted: 09/04/2023] [Indexed: 11/09/2023] Open
Abstract
We present a gauge-origin invariant exact two-component (X2C) approach within a modern density functional framework, supporting meta-generalized gradient approximations such as TPSS and range-separated hybrid functionals such as CAM-B3LYP. The complete exchange-correlation kernel is applied, including the direct contribution of the field-dependent basis functions and the reorthonormalization contribution from the perturbed overlap matrix. Additionally, the finite nucleus model is available for the electron-nucleus potential and the vector potential throughout. Efficiency is ensured by the diagonal local approximation to the unitary decoupling transformation in X2C as well as the (multipole-accelerated) resolution of the identity approximation for the Coulomb term (MARI-J, RI-J) and the seminumerical exchange approximation. Errors introduced by these approximations are assessed and found to be clearly negligible. The applicability of our implementation to large-scale calculations is demonstrated for a tin pincer-type system as well as low-valent tin and lead complexes. Here, the calculation of the Sn nuclear magnetic resonance shifts for the pincer-type ligand with about 2400 basis functions requires less than 1 h for hybrid density functionals. Further, the impact of spin-orbit coupling on the nucleus-independent chemical shifts and the corresponding ring currents of all-metal aromatic systems is studied.
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Affiliation(s)
- Yannick J Franzke
- Fachbereich Chemie, Philipps-Universität Marburg, Hans-Meerwein-Straße 4, 35032 Marburg, Germany
| | - Christof Holzer
- Institute of Theoretical Solid State Physics, Karlsruhe Institute of Technology (KIT), Wolfgang-Gaede-Straße 1, 76131 Karlsruhe, Germany
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2
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Hilla P, Vaara J. NMR chemical shift of confined 129Xe: coordination number, paramagnetic channels and molecular dynamics in a cryptophane-A biosensor. Phys Chem Chem Phys 2023; 25:22719-22733. [PMID: 37606522 DOI: 10.1039/d3cp02695g] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 08/23/2023]
Abstract
Advances in hyperpolarisation and indirect detection have enabled the development of xenon nuclear magnetic resonance (NMR) biosensors (XBSs) for molecule-selective sensing in down to picomolar concentration. Cryptophanes (Crs) are popular cages for hosting the Xe "spy". Understanding the microscopic host-guest chemistry has remained a challenge in the XBS field. While early NMR computations of XBSs did not consider the important effects of host dynamics and explicit solvent, here we model the motionally averaged, relativistic NMR chemical shift (CS) of free Xe, Xe in a prototypic CrA cage and Xe in a water-soluble CrA derivative, each in an explicit H2O solvent, over system configurations generated at three different levels of molecular dynamics (MD) simulations. We confirm the "contact-type" character of the Xe CS, arising from the increased availability of paramagnetic channels, magnetic couplings between occupied and virtual orbitals through the short-ranged orbital hyperfine operator, when neighbouring atoms are in contact with Xe. Remarkably, the Xe CS in the present, highly dynamic and conformationally flexible situations is found to depend linearly on the coordination number of the Xe atom. We interpret the high- and low-CS situations in terms of the magnetic absorption spectrum and choose our preference among the used MD methods based on comparison with the experimental CS. We check the role of spin-orbit coupling by comparing with fully relativistic CS calculations. The study outlines the computational workflow required to realistically model the CS of Xe confined in dynamic cavity structures under experimental conditions, and contributes to microscopic understanding of XBSs.
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Affiliation(s)
- Perttu Hilla
- NMR Research Unit, P.O. Box 3000, FI-90014 University of Oulu, Finland.
| | - Juha Vaara
- NMR Research Unit, P.O. Box 3000, FI-90014 University of Oulu, Finland.
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Rusakova IL, Rusakov YY. On the Utmost Importance of the Basis Set Choice for the Calculations of the Relativistic Corrections to NMR Shielding Constants. Int J Mol Sci 2023; 24:ijms24076231. [PMID: 37047204 PMCID: PMC10094374 DOI: 10.3390/ijms24076231] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/09/2023] [Revised: 03/22/2023] [Accepted: 03/23/2023] [Indexed: 03/29/2023] Open
Abstract
The investigation of the sensitivity of the relativistic corrections to the NMR shielding constants (σ) to the configuration of angular spaces of the basis sets used on the atoms of interest was carried out within the four-component density functional theory (DFT). Both types of relativistic effects were considered, namely the so-called heavy atom on light atom and heavy atom on heavy atom effects, though the main attention was paid to the former. As a main result, it was found that the dependence of the relativistic corrections to σ of light nuclei (exemplified here by 1H and 13C) located in close vicinity to a heavy atom (exemplified here by In, Sn, Sb, Te, and I) on the basis set used on the light spectator atom was very much in common with that of the Fermi-contact contribution to the corresponding nonrelativistic spin-spin coupling constant (J). In general, it has been shown that the nonrelativistic J-oriented and σ-oriented basis sets, artificially saturated in the tight s-region, provided much better accuracy than the standard nonrelativistic σ-oriented basis sets when calculating the relativistic corrections to the NMR shielding constants of light nuclei at the relativistic four-component level of the DFT theory.
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Rusakova IL, Rusakov YY, Krivdin LB. Computational 199 Hg NMR. Magn Reson Chem 2022; 60:929-953. [PMID: 35737297 DOI: 10.1002/mrc.5296] [Citation(s) in RCA: 7] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/14/2022] [Revised: 06/20/2022] [Accepted: 06/21/2022] [Indexed: 06/15/2023]
Abstract
Theoretical background and fundamental results dealing with the computation of mercury chemical shifts and spin-spin coupling constants are reviewed with a special emphasis on their stereochemical behavior and applications.
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Affiliation(s)
- Irina L Rusakova
- A.E. Favorsky Irkutsk Institute of Chemistry, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia
| | - Yuriy Yu Rusakov
- A.E. Favorsky Irkutsk Institute of Chemistry, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia
| | - Leonid B Krivdin
- A.E. Favorsky Irkutsk Institute of Chemistry, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia
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Abstract
Quantum chemical methods for the calculation of indirect NMR spin–spin coupling constants and chemical shifts are always in progress. They never stay the same due to permanently developing computational facilities, which open new perspectives and create new challenges every now and then. This review starts from the fundamentals of the nonrelativistic and relativistic theory of nuclear magnetic resonance parameters, and gradually moves towards the discussion of the most popular common and newly developed methodologies for quantum chemical modeling of NMR spectra.
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6
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Franzke YJ, Yu JM. Quasi-Relativistic Calculation of EPR g Tensors with Derivatives of the Decoupling Transformation, Gauge-Including Atomic Orbitals, and Magnetic Balance. J Chem Theory Comput 2022; 18:2246-2266. [PMID: 35354319 DOI: 10.1021/acs.jctc.1c01175] [Citation(s) in RCA: 12] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/17/2022]
Abstract
We present an exact two-component (X2C) ansatz for the EPR g tensor using gauge-including atomic orbitals (GIAOs) and a magnetically balanced basis set expansion. In contrast to previous X2C and four-component relativistic ansätze for the g tensor, this implementation results in a gauge-origin-invariant formalism. Furthermore, the derivatives of the relativistic decoupling matrix are incorporated to form the complete analytical derivative of the X2C Hamiltonian. To reduce the associated computational costs, we apply the diagonal local approximation to the unitary decoupling transformation (DLU). The quasi-relativistic X2C and DLU-X2C Hamiltonians accurately reproduce the results of the parent four-component relativistic theory when accounting for two-electron picture-change effects with the modified screened nuclear spin-orbit approximation in the respective one-electron integrals and integral derivatives. According to our benchmark studies, the uncontracted Dyall and segmented-contracted Karlsruhe x2c-type basis sets perform well when compared to large even-tempered basis sets. Moreover, (range-separated) hybrid density functional approximations such as LC-ωPBE and ωB97X-D are needed to match the experimental findings. The impact of the GIAOs depends on the distribution of the spin density, and their use may change the Δg shifts by 10-50% as shown for [(C5Me5)2Y(μ-S)2Mo(μ-S)2Y(C5Me5)2]-. Routine calculations of large molecules are possible with widely available and comparably low-cost hardware as demonstrated for [Pt(C6Cl5)4]- with 3003 basis functions and three spin-(1/2) La(II) and Lu(II) compounds, for which we observe good agreement with the experimental findings.
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Affiliation(s)
- Yannick J Franzke
- Fachbereich Chemie, Philipps-Universität Marburg, 35032 Marburg, Germany
| | - Jason M Yu
- Department of Chemistry, University of California─Irvine, 1102 Natural Sciences II, Irvine, California 92697-2025, United States
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Abstract
We give an overview of the molecular response to an external magnetic field perturbing quantum mechanical systems. We present state-of-the-art methods for calculating magnetically-induced current-density susceptibilities. We discuss the essence and properties of current-density susceptibilities and how molecular magnetic properties can be calculated from them. We also review the theory of spin-current densities, how relativity affects current densities and magnetic properties. An overview of the magnetic ring-current criterion for aromaticity is given, which has implications on theoretical and experimental research. The recently reported theory of antiaromaticity and how molecular symmetry affects the magnetic response are discussed and applied to closed-shell paramagnetic molecules. The topology of magnetically induced current densities and its consequences for molecular magnetic properties are also presented with twisted and toroidal molecules as examples.
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Affiliation(s)
- Dage Sundholm
- Department of Chemistry, Faculty of Science, FI-00014 University of Helsinki, P.O. Box 55, A. I. Virtasen aukio 1, Finland.
| | - Maria Dimitrova
- Department of Chemistry, Faculty of Science, FI-00014 University of Helsinki, P.O. Box 55, A. I. Virtasen aukio 1, Finland. .,Chemistry of Materials, Paris-Lodron University of Salzburg, Jakob-Haringerstr. 2A, A-5020 Salzburg, Austria
| | - Raphael J F Berger
- Chemistry of Materials, Paris-Lodron University of Salzburg, Jakob-Haringerstr. 2A, A-5020 Salzburg, Austria
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Gillhuber S, Franzke YJ, Weigend F. Paramagnetic NMR Shielding Tensors and Ring Currents: Efficient Implementation and Application to Heavy Element Compounds. J Phys Chem A 2021; 125:9707-9723. [PMID: 34723533 DOI: 10.1021/acs.jpca.1c07793] [Citation(s) in RCA: 13] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
We present an efficient implementation of paramagnetic NMR shielding tensors and shifts in a nonrelativistic and scalar-relativistic density functional theory framework. For the latter, we make use of the scalar exact two-component Hamiltonian in its local approximation, and generally we apply the well established (multipole-accelerated) resolution of the identity approximation and the seminumerical exchange approximation. The perturbed density matrix of a paramagnetic NMR shielding calculation is further used to study the magnetically induced current density and ring currents of open-shell systems as illustrated for [U@Bi12]3-. [U@Bi12]3- features delocalized highest occupied molecular orbitals and sustains a net diatropic ring current of ca. 18 nA/T through the Bi12 torus similar to the all-metal aromatic heavy-element cluster [Th@Bi12]4-.
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Affiliation(s)
- Sebastian Gillhuber
- Institute of Physical Chemistry, Karlsruhe Institute of Technology (KIT), 76131 Karlsruhe, Germany
| | - Yannick J Franzke
- Fachbereich Chemie, Philipps-Universität Marburg, 35032 Marburg, Germany
| | - Florian Weigend
- Fachbereich Chemie, Philipps-Universität Marburg, 35032 Marburg, Germany
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9
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Rusakova IL, Rusakov YY. Quantum chemical calculations of 77 Se and 125 Te nuclear magnetic resonance spectral parameters and their structural applications. Magn Reson Chem 2021; 59:359-407. [PMID: 33095923 DOI: 10.1002/mrc.5111] [Citation(s) in RCA: 10] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/12/2020] [Revised: 09/01/2020] [Accepted: 10/07/2020] [Indexed: 06/11/2023]
Abstract
An accurate quantum chemical (QC) modeling of 77 Se and 125 Te nuclear magnetic resonance (NMR) spectra is deeply involved in the NMR structural assignment for selenium and tellurium compounds that are of utmost importance both in organic and inorganic chemistry nowadays due to their huge application potential in many fields, like biology, medicine, and metallurgy. The main interest of this review is focused on the progress in QC computations of 77 Se and 125 Te NMR chemical shifts and indirect spin-spin coupling constants involving these nuclei. Different computational methodologies that have been used to simulate the NMR spectra of selenium and tellurium compounds since the middle of the 1990s are discussed with a strong emphasis on their accuracy. A special accent is placed on the calculations resorting to the relativistic methodologies, because taking into account the relativistic effects appreciably influences the precision of NMR calculations of selenium and, especially, tellurium compounds. Stereochemical applications of quantum chemical calculations of 77 Se and 125 Te NMR parameters are discussed so as to exemplify the importance of integrated approach of experimental and computational NMR techniques.
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Affiliation(s)
- Irina L Rusakova
- A. E. Favorsky Irkutsk Institute of Chemistry, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russian Federation
| | - Yuriy Yu Rusakov
- A. E. Favorsky Irkutsk Institute of Chemistry, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russian Federation
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10
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Feng R, Duignan TJ, Autschbach J. Electron-Nucleus Hyperfine Coupling Calculated from Restricted Active Space Wavefunctions and an Exact Two-Component Hamiltonian. J Chem Theory Comput 2021; 17:255-268. [PMID: 33385321 DOI: 10.1021/acs.jctc.0c01005] [Citation(s) in RCA: 10] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Exact two-component (X2C) relativistic nuclear hyperfine magnetic field operators were incorporated in X2C ab initio wavefunction calculations at the multireference restricted active space (RAS) level for calculations of nuclear hyperfine magnetic properties. Spin-orbit coupling was treated via RAS state interaction (SO-RASSI). The method was tested by calculations of electron-nucleus hyperfine coupling constants. The approach, implemented in the OpenMolcas program, overcomes a major limitation of a previous SO-RASSI implementation for hyperfine coupling that relied on nonrelativistic hyperfine operators [J. Chem. Theor. Comput. 2015, 11, 538-549] and therefore had limited applicability. Results from calculations on systems with light and heavy main group elements, transition metals, lanthanides, and one actinide complex demonstrate reasonably good agreement with experimental data, where available, as long as the active space can generate sufficient spin polarization.
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Affiliation(s)
- Rulin Feng
- Department of Chemistry, University at Buffalo, State University of New York, Buffalo, New York 14260-3000, United States
| | - Thomas J Duignan
- Department of Chemistry, University at Buffalo, State University of New York, Buffalo, New York 14260-3000, United States
| | - Jochen Autschbach
- Department of Chemistry, University at Buffalo, State University of New York, Buffalo, New York 14260-3000, United States
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11
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Saue T, Bast R, Gomes ASP, Jensen HJA, Visscher L, Aucar IA, Di Remigio R, Dyall KG, Eliav E, Fasshauer E, Fleig T, Halbert L, Hedegård ED, Helmich-Paris B, Iliaš M, Jacob CR, Knecht S, Laerdahl JK, Vidal ML, Nayak MK, Olejniczak M, Olsen JMH, Pernpointner M, Senjean B, Shee A, Sunaga A, van Stralen JNP. The DIRAC code for relativistic molecular calculations. J Chem Phys 2020; 152:204104. [PMID: 32486677 DOI: 10.1063/5.0004844] [Citation(s) in RCA: 103] [Impact Index Per Article: 25.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
DIRAC is a freely distributed general-purpose program system for one-, two-, and four-component relativistic molecular calculations at the level of Hartree-Fock, Kohn-Sham (including range-separated theory), multiconfigurational self-consistent-field, multireference configuration interaction, electron propagator, and various flavors of coupled cluster theory. At the self-consistent-field level, a highly original scheme, based on quaternion algebra, is implemented for the treatment of both spatial and time reversal symmetry. DIRAC features a very general module for the calculation of molecular properties that to a large extent may be defined by the user and further analyzed through a powerful visualization module. It allows for the inclusion of environmental effects through three different classes of increasingly sophisticated embedding approaches: the implicit solvation polarizable continuum model, the explicit polarizable embedding model, and the frozen density embedding model.
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Affiliation(s)
- Trond Saue
- Laboratoire de Chimie et Physique Quantique, UMR 5626 CNRS-Université Toulouse III-Paul Sabatier, 118 Route de Narbonne, F-31062 Toulouse, France
| | - Radovan Bast
- Department of Information Technology, UiT The Arctic University of Norway, N-9037 Tromsø, Norway
| | - André Severo Pereira Gomes
- Université de Lille, CNRS, UMR 8523-PhLAM-Physique des Lasers, Atomes et Molécules, F-59000 Lille, France
| | - Hans Jørgen Aa Jensen
- Department of Physics, Chemistry and Pharmacy, University of Southern Denmark, DK-5230 Odense M, Denmark
| | - Lucas Visscher
- Department of Chemistry and Pharmaceutical Sciences, Vrije Universiteit Amsterdam, NL-1081HV Amsterdam, The Netherlands
| | - Ignacio Agustín Aucar
- Instituto de Modelado e Innovación Tecnológica, CONICET, and Departamento de Física-Facultad de Ciencias Exactas y Naturales, UNNE, Avda. Libertad 5460, W3404AAS Corrientes, Argentina
| | - Roberto Di Remigio
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, UiT The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Kenneth G Dyall
- Dirac Solutions, 10527 NW Lost Park Drive, Portland, Oregon 97229, USA
| | - Ephraim Eliav
- School of Chemistry, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel
| | - Elke Fasshauer
- Department of Physics and Astronomy, Aarhus University, Ny Munkegade 120, 8000 Aarhus, Denmark
| | - Timo Fleig
- Laboratoire de Chimie et Physique Quantique, UMR 5626 CNRS-Université Toulouse III-Paul Sabatier, 118 Route de Narbonne, F-31062 Toulouse, France
| | - Loïc Halbert
- Université de Lille, CNRS, UMR 8523-PhLAM-Physique des Lasers, Atomes et Molécules, F-59000 Lille, France
| | - Erik Donovan Hedegård
- Division of Theoretical Chemistry, Lund University, Chemical Centre, P.O. Box 124, SE-221 00 Lund, Sweden
| | - Benjamin Helmich-Paris
- Max-Planck-Institut für Kohlenforschung, Kaiser-Wilhelm-Platz 1, 45470 Mülheim an der Ruhr, Germany
| | - Miroslav Iliaš
- Department of Chemistry, Faculty of Natural Sciences, Matej Bel University, Tajovského 40, 974 01 Banská Bystrica, Slovakia
| | - Christoph R Jacob
- Technische Universität Braunschweig, Institute of Physical and Theoretical Chemistry, Gaußstr. 17, 38106 Braunschweig, Germany
| | - Stefan Knecht
- ETH Zürich, Laboratorium für Physikalische Chemie, Vladimir-Prelog-Weg 2, 8093 Zürich, Switzerland
| | - Jon K Laerdahl
- Department of Microbiology, Oslo University Hospital, Oslo, Norway
| | - Marta L Vidal
- Department of Chemistry, Technical University of Denmark, 2800 Kgs. Lyngby, Denmark
| | - Malaya K Nayak
- Theoretical Chemistry Section, Bhabha Atomic Research Centre, Trombay, Mumbai 400085, India
| | - Małgorzata Olejniczak
- Centre of New Technologies, University of Warsaw, S. Banacha 2c, 02-097 Warsaw, Poland
| | - Jógvan Magnus Haugaard Olsen
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, UiT The Arctic University of Norway, N-9037 Tromsø, Norway
| | | | - Bruno Senjean
- Department of Chemistry and Pharmaceutical Sciences, Vrije Universiteit Amsterdam, NL-1081HV Amsterdam, The Netherlands
| | - Avijit Shee
- Department of Chemistry, University of Michigan, Ann Arbor, Michigan 48109, USA
| | - Ayaki Sunaga
- Department of Chemistry, Tokyo Metropolitan University, 1-1 Minami-Osawa, Hachioji-city, Tokyo 192-0397, Japan
| | - Joost N P van Stralen
- Department of Chemistry and Pharmaceutical Sciences, Vrije Universiteit Amsterdam, NL-1081HV Amsterdam, The Netherlands
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Rusakova IL, Rusakov YY. On the heavy atom on light atom relativistic effect in the NMR shielding constants of phosphine tellurides. Magn Reson Chem 2019; 57:1071-1083. [PMID: 31077441 DOI: 10.1002/mrc.4889] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/22/2019] [Revised: 04/27/2019] [Accepted: 05/03/2019] [Indexed: 06/09/2023]
Abstract
The relativistic HALA effect has been shown to depend on the spatial deformation of the lone electron pairs of a heavy atom, as demonstrated for alkyl and alkene phosphine tellurides. It was found that HALA effect on phosphorous nuclear magnetic resonance shielding constant is strongly dependent on the spatial arrangements of light substituents on phosphorus, resulting in the deformation of the lone electron pairs of tellurium.
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Affiliation(s)
- Irina L Rusakova
- A.E. Favorsky Irkutsk Institute of Chemistry, SB RAS, Irkutsk, Russia
| | - Yuriy Yu Rusakov
- A.E. Favorsky Irkutsk Institute of Chemistry, SB RAS, Irkutsk, Russia
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13
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Rusakov YY, Rusakova IL, Fedorov SV, Gray GA, Krivdin LB. Stereochemical Dependences of 31P–13C Spin–Spin Coupling Constants of Heterocyclic Phosphines. J Phys Chem A 2019; 123:6298-6303. [DOI: 10.1021/acs.jpca.9b05385] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/06/2023]
Affiliation(s)
- Yuriy Y. Rusakov
- A. E. Favorsky Irkutsk Institute of Chemistry, Siberian Branch of the Russian Academy of Sciences, Favorsky St. 1, 664033 Irkutsk, Russian Federation
| | - Irina L. Rusakova
- A. E. Favorsky Irkutsk Institute of Chemistry, Siberian Branch of the Russian Academy of Sciences, Favorsky St. 1, 664033 Irkutsk, Russian Federation
| | - Sergei V. Fedorov
- A. E. Favorsky Irkutsk Institute of Chemistry, Siberian Branch of the Russian Academy of Sciences, Favorsky St. 1, 664033 Irkutsk, Russian Federation
| | - George A. Gray
- Agilent Technologies, 5301 Stevens Creek Blvd, Santa Clara, California 95051, United States
| | - Leonid B. Krivdin
- A. E. Favorsky Irkutsk Institute of Chemistry, Siberian Branch of the Russian Academy of Sciences, Favorsky St. 1, 664033 Irkutsk, Russian Federation
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14
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Zarate X, MacLeod-Carey D, Muñoz-Castro A, Schott E. Understanding the aromaticity of C6X6 (X = H, F, Cl, Br, I). Insights from different theoretical criteria. Chem Phys Lett 2019. [DOI: 10.1016/j.cplett.2019.01.058] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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15
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Franzke YJ, Weigend F. NMR Shielding Tensors and Chemical Shifts in Scalar-Relativistic Local Exact Two-Component Theory. J Chem Theory Comput 2019; 15:1028-1043. [DOI: 10.1021/acs.jctc.8b01084] [Citation(s) in RCA: 32] [Impact Index Per Article: 6.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Yannick J. Franzke
- Institute of Physical Chemistry, Karlsruhe Institute of Technology (KIT), Kaiserstraße 12, 76131 Karlsruhe, Germany
| | - Florian Weigend
- Institute of Nanotechnology, Karlsruhe Institute of Technology (KIT), Hermann-von-Helmholtz-Platz 1, 76344 Eggenstein-Leopoldshafen, Germany
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16
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Rusakov YY, Rusakova IL, Krivdin LB. Relativistic heavy atom effect on the 31 P NMR parameters of phosphine chalcogenides. Part 1. Chemical shifts. Magn Reson Chem 2018; 56:1061-1073. [PMID: 29775489 DOI: 10.1002/mrc.4752] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/14/2018] [Revised: 04/27/2018] [Accepted: 05/08/2018] [Indexed: 06/08/2023]
Abstract
Four-component density functional theory calculations of 31 P NMR chemical shifts have been performed for the representative series of 56 phosphine chalcogenides in order to investigate an influence of different functional groups on the heavy atom relativistic effect on the NMR chemical shifts of light phosphorous atoms (Heavy Atom on Light Atom effect). The validity of the 4-component density functional theory approach used for the wide-scale calculations of the phosphorous chemical shifts in a wide series of phosphine chalcogenides has been confirmed on a small series of 5 representative compounds with the aid of high-quality coupled cluster singles and doubles calculations taking into account solvent, vibrational, and the relativistic corrections in comparison with the experiment.
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Affiliation(s)
- Yury Yu Rusakov
- A. E. Favorsky Irkutsk Institute of Chemistry, Siberian Branch of the Russian Academy of Sciences, Favorsky St. 1, 664033, Irkutsk, Russia
| | - Irina L Rusakova
- A. E. Favorsky Irkutsk Institute of Chemistry, Siberian Branch of the Russian Academy of Sciences, Favorsky St. 1, 664033, Irkutsk, Russia
| | - Leonid B Krivdin
- A. E. Favorsky Irkutsk Institute of Chemistry, Siberian Branch of the Russian Academy of Sciences, Favorsky St. 1, 664033, Irkutsk, Russia
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17
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Hayami M, Seino J, Nakai H. Gauge-origin independent formalism of two-component relativistic framework based on unitary transformation in nuclear magnetic shielding constant. J Chem Phys 2018; 148:114109. [DOI: 10.1063/1.5016581] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Masao Hayami
- Department of Chemistry and Biochemistry, School of Advanced Science and Engineering, Waseda University, Tokyo 169-8555, Japan
| | - Junji Seino
- Waseda Research Institute for Science and Engineering, Waseda University, Tokyo 169-8555, Japan
| | - Hiromi Nakai
- Department of Chemistry and Biochemistry, School of Advanced Science and Engineering, Waseda University, Tokyo 169-8555, Japan
- Waseda Research Institute for Science and Engineering, Waseda University, Tokyo 169-8555, Japan
- CREST, Japan Science and Technology Agency, Saitama 332-0012, Japan
- Elements Strategy Initiative for Catalysts and Batteries (ESICB), Kyoto University, Katsura, Kyoto 615-8520, Japan
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18
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Yoshizawa T, Hada M. Calculations of nuclear magnetic shielding constants based on the exact two-component relativistic method. J Chem Phys 2017; 147:154104. [DOI: 10.1063/1.5001256] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/02/2023] Open
Affiliation(s)
- Terutaka Yoshizawa
- Department of Chemistry, Graduate School of Science and Engineering, Tokyo Metropolitan University, 1-1 Minami-Osawa, Hachioji, Tokyo 192-0397,
Japan
| | - Masahiko Hada
- Department of Chemistry, Graduate School of Science and Engineering, Tokyo Metropolitan University, 1-1 Minami-Osawa, Hachioji, Tokyo 192-0397,
Japan
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19
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Alvarez-thon L, Caimanque-aguilar W. Spin-orbit effects on magnetically induced current densities in the clusters. Chem Phys Lett 2017; 671:118-23. [DOI: 10.1016/j.cplett.2017.01.027] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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20
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Affiliation(s)
- Trond Saue
- Laboratoire de Chimie et Physique Quantiques, UMR 5626 CNRS, Université Toulouse III-Paul Sabatier, Toulouse, France
| | - Emmanuel Fromager
- Laboratoire de Chimie Quantique, Institut de Chimie, CNRS/Université de Strasbourg, Strasbourg, France
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21
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Olejniczak M, Bast R, Pereira Gomes AS. On the calculation of second-order magnetic properties using subsystem approaches in a relativistic framework. Phys Chem Chem Phys 2017; 19:8400-8415. [DOI: 10.1039/c6cp08561j] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The implementation of second-order magnetic properties in a frozen density embedding scheme in a four component relativistic framework is outlined and applied to model H2X–H2O systems (X = Se, Te, Po).
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Affiliation(s)
- Małgorzata Olejniczak
- Université de Lille
- CNRS
- UMR 8523 – PhLAM – Physique des Lasers
- Atomes et Molécules
- F-59000 Lille
| | - Radovan Bast
- High Performance Computing Group
- UiT The Arctic University of Norway
- N-9037 Tromsø
- Norway
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22
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Ramírez-Tagle R, Alvarado-Soto L, Villavicencio-Wastavino A, Alvarez-Thon L. Relativistic effects on the aromaticity of the halogenated benzenes: C6X6, X = H, F, Cl, Br, I, At. Phys Chem Chem Phys 2016; 18:25751-5. [PMID: 27603224 DOI: 10.1039/c6cp05265g] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
In this study we report about the relativistic effects on the aromaticity of the six hexahalogenated compounds (C6H6, C6F6, C6Cl6, C6Br6, C6I6 and C6At6), via a magnetically induced current density method. All-electron density functional theory (DFT) calculations were carried out using the four-component Dirac-Coulomb (DC) Hamiltonian, including scalar and spin-orbit (SO) relativistic effects. Fully relativistic values of the magnetically induced ring currents were obtained by numerical integration over the current flow. These values were compared to the spin-free (SO interaction switched off) and non-relativistic values, in order to assess the corresponding contributions to aromaticity. It was found that in C6I6 and C6At6 there is a strong SO influence, in line with the expected relativistic effects of the heavy elements, iodine and astatine.
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Affiliation(s)
- Rodrigo Ramírez-Tagle
- Facultad de Ingeniería, Universidad Bernardo O'Higgins, Avenida Viel 1497, Santiago, Chile
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23
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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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24
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Aucar IA, Gomez SS, Giribet CG, Aucar GA. Toward an absolute NMR shielding scale using the spin-rotation tensor within a relativistic framework. Phys Chem Chem Phys 2016; 18:23572-86. [DOI: 10.1039/c6cp03355e] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
How can one extend Flygare's rule to the relativistic framework? Three models are proposed here. The best of them shows that σ is related with the spin-rotation tensor, the atomic shielding and a new term coined as σSO-S.
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Affiliation(s)
- I. Agustín Aucar
- Instituto de Modelado e Innovación Tecnológica
- CONICET
- and Departamento de Física – Facultad de Ciencias Exactas y Naturales
- UNNE
- Corrientes
| | - Sergio S. Gomez
- Instituto de Modelado e Innovación Tecnológica
- CONICET
- and Departamento de Física – Facultad de Ciencias Exactas y Naturales
- UNNE
- Corrientes
| | - Claudia G. Giribet
- Instituto de Física de Buenos Aires
- CONICET
- and Departamento de Física – Facultad de Ciencias Exactas y Naturales
- UBA
- Buenos Aires
| | - Gustavo A. Aucar
- Instituto de Modelado e Innovación Tecnológica
- CONICET
- and Departamento de Física – Facultad de Ciencias Exactas y Naturales
- UNNE
- Corrientes
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25
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Jankowska M, Kupka T, Stobiński L, Faber R, Lacerda EG, Sauer SPA. Spin-orbit ZORA and four-component Dirac-Coulomb estimation of relativistic corrections to isotropic nuclear shieldings and chemical shifts of noble gas dimers. J Comput Chem 2015; 37:395-403. [DOI: 10.1002/jcc.24228] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/10/2015] [Revised: 09/28/2015] [Accepted: 10/01/2015] [Indexed: 11/11/2022]
Affiliation(s)
- Marzena Jankowska
- Faculty of Chemistry; University of Opole; 48, Oleska Str. 45-052 Opole Poland
| | - Teobald Kupka
- Faculty of Chemistry; University of Opole; 48, Oleska Str. 45-052 Opole Poland
| | - Leszek Stobiński
- Polish Academy of Sciences; Institute of Physical Chemistry; 44/52, Kasprzaka, Str. 01-224 Warsaw Poland
- Faculty of Chemical and Process Engineering; Warsaw University of Technology; Warynskiego 1 00-645 Warsaw Poland
| | - Rasmus Faber
- Department of Chemistry; University of Copenhagen; Universitetsparken 5 DK-2100 Copenhagen Denmark
| | - Evanildo G. Lacerda
- Department of Chemistry; University of Copenhagen; Universitetsparken 5 DK-2100 Copenhagen Denmark
| | - Stephan P. A. Sauer
- Department of Chemistry; University of Copenhagen; Universitetsparken 5 DK-2100 Copenhagen Denmark
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27
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28
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Cheng L, Gauss J, Stanton JF. Treatment of scalar-relativistic effects on nuclear magnetic shieldings using a spin-free exact-two-component approach. J Chem Phys 2013; 139:054105. [DOI: 10.1063/1.4816130] [Citation(s) in RCA: 25] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023] Open
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29
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Demissie TB, Repisky M, Komorovsky S, Isaksson J, Svendsen JS, Dodziuk H, Ruud K. Four-component relativistic chemical shift calculations of halogenated organic compounds. J PHYS ORG CHEM 2013. [DOI: 10.1002/poc.3157] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
Affiliation(s)
- Taye B. Demissie
- Institute of Physical Chemistry; Polish Academy of Sciences; Kasprzaka 44/52 Warsaw Poland
- Centre for Theoretical and Computational Chemistry, Department of Chemistry; University of Tromsø; N-9037 Tromsø Norway
| | - Michal Repisky
- Centre for Theoretical and Computational Chemistry, Department of Chemistry; University of Tromsø; N-9037 Tromsø Norway
| | - Stanislav Komorovsky
- Centre for Theoretical and Computational Chemistry, Department of Chemistry; University of Tromsø; N-9037 Tromsø Norway
| | - Johan Isaksson
- Centre for Research-based Innovation on Marine Bioactivities and Drug Discovery (MABCENT); University of Tromsø; N-9037 Tromsø Norway
| | - John S. Svendsen
- Centre for Research-based Innovation on Marine Bioactivities and Drug Discovery (MABCENT); University of Tromsø; N-9037 Tromsø Norway
| | - Helena Dodziuk
- Institute of Physical Chemistry; Polish Academy of Sciences; Kasprzaka 44/52 Warsaw Poland
| | - Kenneth Ruud
- Centre for Theoretical and Computational Chemistry, Department of Chemistry; University of Tromsø; N-9037 Tromsø Norway
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30
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Affiliation(s)
- Miroslav Iliaš
- a Department of Chemistry, Faculty of Natural Sciences , Matej Bel University , –Banská Bystrica , Slovakia
| | - Hans Jørgen Aa. Jensen
- b Department of Physics, Chemistry and Pharmacy , University of Southern Denmark , Odense M , Denmark
| | - Radovan Bast
- c Laboratoire de Chimie et Physique Quantiques (UMR 5626) , CNRS/Université de Toulouse , 3 (Paul Sabatier), –, Toulouse , France
| | - Trond Saue
- c Laboratoire de Chimie et Physique Quantiques (UMR 5626) , CNRS/Université de Toulouse , 3 (Paul Sabatier), –, Toulouse , France
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31
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Affiliation(s)
- Michał Jaszuński
- a Institute of Organic Chemistry , Polish Academy of Sciences , Warszawa , 01-224 , Kasprzaka 44, Poland
| | - Małgorzata Olejniczak
- b Faculty of Chemistry , University of Warsaw , Pasteura 1, Laboratoire de Chimie et Physique Quantiques (UMR 5626), CNRS and Université de Toulouse 3 (Paul Sabatier), 118 Route de Narbonne, F-31062 Toulouse, France, Warsaw , 02-093 , Poland
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33
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Melo JI, Maldonado AF, Aucar GA. Relativistic effects on nuclear magnetic shieldings of CHnX4−n and CHXYZ (X, Y, Z = H, F, Cl, Br, I). J Chem Phys 2012; 137:214319. [DOI: 10.1063/1.4768470] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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34
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Antušek A, Ke¸dziera D, Kaczmarek-Ke¸dziera A, Jaszuński M. Coupled cluster study of NMR shielding of alkali metal ions in water complexes and magnetic moments of alkali metal nuclei. Chem Phys Lett 2012. [DOI: 10.1016/j.cplett.2012.02.036] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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35
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Helgaker T, Coriani S, Jørgensen P, Kristensen K, Olsen J, Ruud K. Recent Advances in Wave Function-Based Methods of Molecular-Property Calculations. Chem Rev 2012; 112:543-631. [DOI: 10.1021/cr2002239] [Citation(s) in RCA: 463] [Impact Index Per Article: 38.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Trygve Helgaker
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, University of Oslo, P.O. Box 1033 Blindern, N-0315 Oslo, Norway
| | - Sonia Coriani
- Dipartimento di Scienze Chimiche e Farmaceutiche, Università degli Studi di Trieste, Via Giorgieri 1, I-34127 Trieste, Italy
| | - Poul Jørgensen
- Lundbeck Center for Theoretical Chemistry, Department of Chemistry, Aarhus University, 8000 Aarhus C, Denmark
| | - Kasper Kristensen
- Lundbeck Center for Theoretical Chemistry, Department of Chemistry, Aarhus University, 8000 Aarhus C, Denmark
| | - Jeppe Olsen
- Lundbeck Center for Theoretical Chemistry, Department of Chemistry, Aarhus University, 8000 Aarhus C, Denmark
| | - Kenneth Ruud
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, University of Tromsø, N-9037 Tromsø, Norway
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36
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37
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Olejniczak M, Bast R, Saue T, Pecul M. A simple scheme for magnetic balance in four-component relativistic Kohn–Sham calculations of nuclear magnetic resonance shielding constants in a Gaussian basis. J Chem Phys 2012; 136:014108. [DOI: 10.1063/1.3671390] [Citation(s) in RCA: 67] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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38
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Arcisauskaite V, Knecht S, Sauer SPA, Hemmingsen L. Fully relativistic coupled cluster and DFT study of electric field gradients at Hg in 199Hg compounds. Phys Chem Chem Phys 2012; 14:2651-7. [DOI: 10.1039/c2cp23080a] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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39
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Muñoz-Castro A. Nature of the Excited State of Triangulo Silver N-Heterocyclic Carbenes. Insights from Relativistic DFT Calculations. J Phys Chem A 2011; 116:520-5. [DOI: 10.1021/jp2071277] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Alvaro Muñoz-Castro
- Departamento de Ciencias Quimicas, Universidad Andres Bello, Republica 275, Santiago, Chile
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40
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41
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Cukras J, Sadlej J. Theoretical predictions of the spectroscopic parameters in noble-gas molecules: HXeOH and its complex with water. Phys Chem Chem Phys 2011; 13:15455-67. [PMID: 21804992 DOI: 10.1039/c1cp21359h] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We employ state-of-the-art methods and basis sets to study the effect of inserting the Xe atom into the water molecule and the water dimer on their NMR parameters. Our aim is to obtain predictions for the future experimental investigation of novel xenon complexes by NMR spectroscopy. Properties such as molecular structure and energetics have been studied by supermolecular approaches using HF, MP2, CCSD, CCSD(T) and MP4 methods. The bonding in HXeOH···H(2)O complexes has been analyzed by Symmetry-Adapted Perturbation Theory to provide the intricate insight into the nature of the interaction. We focus on vibrational spectra, NMR shielding and spin-spin coupling constants-experimental signals that reflect the electronic structures of the compounds. The parameters have been calculated at electron-correlated and Dirac-Hartree-Fock relativistic levels. This study has elucidated that the insertion of the Xe atom greatly modifies the NMR properties, including both the electron correlation and relativistic effects, the (129)Xe shielding constants decrease in HXeOH and HXeOH···H(2)O in comparison to Xe atom; the (17)O, as a neighbour of Xe, is deshielded too. The HXeOH···H(2)O complex in its most stable form is stabilized mainly by induction and dispersion energies.
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Affiliation(s)
- Janusz Cukras
- Department of Chemistry, University of Warsaw, Pasteura 1, 02-093 Warsaw, Poland
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42
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Ramírez-Tagle R, Alvarado-Soto L, Arratia-Perez R, Bast R, Alvarez-Thon L. Probing the aromaticity of the [(HtAc)3(μ2-H)6], [(HtTh)3(μ2-H)6],+, and [(HtPa)3(μ2-H)6] clusters. J Chem Phys 2011; 135:104506. [DOI: 10.1063/1.3632056] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/05/2023] Open
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43
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Lantto P, Jackowski K, Makulski W, Olejniczak M, Jaszuński M. NMR Shielding Constants in PH3, Absolute Shielding Scale, and the Nuclear Magnetic Moment of 31P. J Phys Chem A 2011; 115:10617-23. [DOI: 10.1021/jp2052739] [Citation(s) in RCA: 32] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Perttu Lantto
- Department of Physics, University of Oulu, P.O. Box 3000, FI-90014 Oulu, Finland
| | - Karol Jackowski
- Faculty of Chemistry, University of Warsaw, Pasteura 1, 02-093 Warsaw, Poland
| | | | | | - Michał Jaszuński
- Institute of Organic Chemistry, Polish Academy of Sciences, Kasprzaka 44, 01-224 Warsaw, Poland
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44
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Antušek A, Jaszuński M, Olejniczak M. Ab initio study of NMR shielding constants and spin-rotation constants in N, P and As diatomic molecules. COMPUT THEOR CHEM 2011; 970:54-60. [DOI: 10.1016/j.comptc.2011.05.026] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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45
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Arcisauskaite V, Melo JI, Hemmingsen L, Sauer SPA. Nuclear magnetic resonance shielding constants and chemical shifts in linear 199Hg compounds: A comparison of three relativistic computational methods. J Chem Phys 2011; 135:044306. [DOI: 10.1063/1.3608153] [Citation(s) in RCA: 50] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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46
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Gómez SS, Aucar GA. Relativistic effects on the nuclear magnetic resonance shielding of FX (X = F, Cl, Br, I, and At) molecular systems. J Chem Phys 2011; 134:204314. [DOI: 10.1063/1.3587051] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023] Open
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47
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48
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Sulzer D, Olejniczak M, Bast R, Saue T. 4-Component relativistic magnetically induced current density using London atomic orbitals. Phys Chem Chem Phys 2011; 13:20682-9. [DOI: 10.1039/c1cp22457c] [Citation(s) in RCA: 30] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/02/2023]
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49
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Roukala J, Maldonado AF, Vaara J, Aucar GA, Lantto P. Relativistic effects on group-12 metal nuclear shieldings. Phys Chem Chem Phys 2011; 13:21016-25. [DOI: 10.1039/c1cp22043h] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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50
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Komorovský S, Repiský M, Malkina OL, Malkin VG. Fully relativistic calculations of NMR shielding tensors using restricted magnetically balanced basis and gauge including atomic orbitals. J Chem Phys 2010; 132:154101. [DOI: 10.1063/1.3359849] [Citation(s) in RCA: 122] [Impact Index Per Article: 8.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023] Open
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