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Kozioł K, Aucar IA, Gaul K, Berger R, Aucar GA. Relativistic and quantum electrodynamics effects on NMR shielding tensors of TlX (X = H, F, Cl, Br, I, At) molecules. J Chem Phys 2024; 161:064307. [PMID: 39132800 DOI: 10.1063/5.0213653] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/12/2024] [Accepted: 07/22/2024] [Indexed: 08/13/2024] Open
Abstract
The results of relativistic calculations of nuclear magnetic resonance shielding tensors (σ) for the thallium monocation (Tl+), thallium hydride (TlH), and thallium halides (TlF, TlCl, TlBr, TlI, and TlAt) are presented as obtained within a four-component polarization propagator formalism and a two-component linear response approach within the zeroth-order regular approximation. In addition to a detailed analysis of relativistic effects performed in this work, some quantum electrodynamical (QED) effects on those nuclear magnetic resonance shieldings and other small contributions are estimated. A strong dependence of σ(Tl) on the bonding partner is found, together with a very weak dependence of QED effects with them. In order to explain the trends observed, the excitation patterns associated with relativistic ee (or paramagnetic-like) and pp (or diamagnetic-like) contributions to σ are analyzed. For this purpose, the electronic spin-free and spin-dependent contributions are separated within the two-component zeroth-order regular approximation, and the influence of spin-orbit coupling on involved molecular orbitals is studied, which allows for a thorough understanding of the underlying mechanisms.
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Affiliation(s)
- Karol Kozioł
- Narodowe Centrum Badań Jadrowych (NCBJ), Andrzeja Sołtana 7, 05-400 Otwock-Świerk, Poland
| | - I 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
- Van Swinderen Institute for Particle Physics and Gravity, University of Groningen, 9747 AG Groningen, The Netherlands
| | - Konstantin Gaul
- Fachbereich Chemie, Philipps-Universität Marburg, Hans-Meerwein-Straße 4, 35032 Marburg, Germany
| | - Robert Berger
- Fachbereich Chemie, Philipps-Universität Marburg, Hans-Meerwein-Straße 4, 35032 Marburg, Germany
| | - Gustavo A 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
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2
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Zhang T, Banerjee S, Koulias LN, Valeev EF, DePrince AE, Li X. Dirac-Coulomb-Breit Molecular Mean-Field Exact-Two-Component Relativistic Equation-of-Motion Coupled-Cluster Theory. J Phys Chem A 2024; 128:3408-3418. [PMID: 38651293 DOI: 10.1021/acs.jpca.3c08167] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 04/25/2024]
Abstract
We present a relativistic equation-of-motion coupled-cluster with single and double excitation formalism within the exact two-component framework (X2C-EOM-CCSD), where both scalar relativistic effects and spin-orbit coupling are variationally included at the reference level. Three different molecular mean-field treatments of relativistic corrections, including the one-electron, Dirac-Coulomb, and Dirac-Coulomb-Breit Hamiltonian, are considered in this work. Benchmark calculations include atomic excitations and fine-structure splittings arising from spin-orbit coupling. Comparison with experimental values and relativistic time-dependent density functional theory is also carried out. The computation of the oscillator strength using the relativistic X2C-EOM-CCSD approach allows for studies of spin-orbit-driven processes, such as the spontaneous phosphorescence lifetime.
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Affiliation(s)
- Tianyuan Zhang
- Department of Chemistry, University of Washington, Seattle, Washington 98195, United States
| | - Samragni Banerjee
- Department of Chemistry, University of Washington, Seattle, Washington 98195, United States
| | - Lauren N Koulias
- Department of Chemistry, University of Washington, Seattle, Washington 98195, United States
| | - Edward F Valeev
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, United States
| | - A Eugene DePrince
- Department of Chemistry and Biochemistry, Florida State University, Tallahassee, Florida 32306-4390, United States
| | - Xiaosong Li
- Department of Chemistry, University of Washington, Seattle, Washington 98195, United States
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3
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Lu Y, Wang Z, Wang F. Error of relativistic effective core potentials for closed-shell diatomic molecules of p-block heavy and superheavy elements in DFT and TDDFT calculations. J Chem Phys 2023; 159:244107. [PMID: 38149737 DOI: 10.1063/5.0173826] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/25/2023] [Accepted: 11/20/2023] [Indexed: 12/28/2023] Open
Abstract
Pseudopotentials (PP) are extensively used in electronic structure calculations, particularly for molecules containing heavy elements. Parameters in PPs are mainly determined from ab initio results, and errors of such PPs in density functional theory (DFT) calculations have been studied previously. However, PP errors on results with spin-orbit coupling and those in time-dependent DFT (TDDFT) calculations have not been reported previously. In this work, we investigate the error of the small-core energy-consistent Stuttgart/Koln pseudopotentials in DFT and TDDFT calculations with and without spin-orbit coupling. Ground state bond lengths, harmonic frequencies, dissociation energies, and vertical excitation energies for a series of closed-shell diatomic heavy and superheavy p-block molecules are calculated using several popular exchange-correlation functionals. PP errors are estimated by comparing with results using the all-electron Dirac-Coulomb (-Gaunt) Hamiltonian. Our results show that the difference between ground state properties and most excitation energies in scalar-relativistic calculations with the PP and those of all-electron calculations is quite small. This difference becomes somewhat larger when spin-orbit coupling (SOC) is present, especially for properties that are affected by SOC to some extent. In addition, the errors of the PPs are insensitive to the employed exchange-correlation functionals in most cases. Our results indicate that reasonable DFT and TDDFT results can be obtained using the small-core energy-consistent Stuttgart/Koln pseudopotentials for heavy and super-heavy p-block molecules.
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Affiliation(s)
- Yanzhao Lu
- Institute of Atomic and Molecular Physics, Key Laboratory of High Energy Density Physics and Technology, Ministry of Education, Sichuan University, Chengdu 610065, People's Republic of China
| | - Zhifan Wang
- College of Chemistry and Life Science, Chengdu Normal University, Chengdu 611130, People's Republic of China
| | - Fan Wang
- Institute of Atomic and Molecular Physics, Key Laboratory of High Energy Density Physics and Technology, Ministry of Education, Sichuan University, Chengdu 610065, People's Republic of China
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4
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Rueda Espinosa KJ, Kananenka AA, Rusakov AA. Novel Computational Chemistry Infrastructure for Simulating Astatide in Water: From Basis Sets to Force Fields Using Particle Swarm Optimization. J Chem Theory Comput 2023; 19:7998-8012. [PMID: 38014419 DOI: 10.1021/acs.jctc.3c00826] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2023]
Abstract
Using the example of astatine, the heaviest naturally occurring halogen whose isotope At-211 has promising medical applications, we propose a new infrastructure for large-scale computational models of heavy elements with strong relativistic effects. In particular, we focus on developing an accurate force field for At- in water based on reliable relativistic density functional theory (DFT) calculations. To ensure the reliability of such calculations, we design novel basis sets for relativistic DFT, via the particle swarm optimization algorithm to optimize the coefficients of the new basis sets and the polarization-consistent basis set idea's extension to heavy elements to eliminate the basis set error from DFT calculations. The resulting basis sets enable the well-grounded evaluation of relativistic DFT against "gold-standard" CCSD(T) results. Accounting for strong relativistic effects, including spin-orbit interaction, via our redesigned infrastructure, we elucidate a noticeable dissimilarity between At- and I- in halide-water force field parameters, radial distribution functions, diffusion coefficients, and hydration energies. This work establishes the framework for the systematic development of polarization-consistent basis sets for relativistic DFT and accurate force fields for molecular dynamics simulations to be used in large-scale models of complex molecular systems with elements from the bottom of the periodic table, including actinides and even superheavy elements.
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Affiliation(s)
- Kennet J Rueda Espinosa
- Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, United States
| | - Alexei A Kananenka
- Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, United States
| | - Alexander A Rusakov
- Department of Chemistry, Oakland University, Rochester, Michigan 48309, United States
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5
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Banerjee S, Zhang T, Dyall KG, Li X. Relativistic resolution-of-the-identity with Cholesky integral decomposition. J Chem Phys 2023; 159:114119. [PMID: 37728204 DOI: 10.1063/5.0161871] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/12/2023] [Accepted: 08/28/2023] [Indexed: 09/21/2023] Open
Abstract
In this study, we present an efficient integral decomposition approach called the restricted-kinetic-balance resolution-of-the-identity (RKB-RI) algorithm, which utilizes a tunable RI method based on the Cholesky integral decomposition for in-core relativistic quantum chemistry calculations. The RKB-RI algorithm incorporates the restricted-kinetic-balance condition and offers a versatile framework for accurate computations. Notably, the Cholesky integral decomposition is employed not only to approximate symmetric large-component electron repulsion integrals but also those involving small-component basis functions. In addition to comprehensive error analysis, we investigate crucial conditions, such as the kinetic balance condition and variational stability, which underlie the applicability of Dirac relativistic electronic structure theory. We compare the computational cost of the RKB-RI approach with the full in-core method to assess its efficiency. To evaluate the accuracy and reliability of the RKB-RI method proposed in this work, we employ actinyl oxides as benchmark systems, leveraging their properties for validation purposes. This investigation provides valuable insights into the capabilities and performance of the RKB-RI algorithm and establishes its potential as a powerful tool in the field of relativistic quantum chemistry.
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Affiliation(s)
- Samragni Banerjee
- Department of Chemistry, University of Washington, Seattle, Washington 98195, USA
| | - Tianyuan Zhang
- Department of Chemistry, University of Washington, Seattle, Washington 98195, USA
| | | | - Xiaosong Li
- Department of Chemistry, University of Washington, Seattle, Washington 98195, USA
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6
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Shirkov L, Sladek V. Ab initio relativistic potential energy surface with analytical long-range part of benzene-Rn complex and its application to intermolecular vibrations. Chem Phys 2022. [DOI: 10.1016/j.chemphys.2022.111756] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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7
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Knecht S, Repisky M, Jensen HJA, Saue T. Exact two-component Hamiltonians for relativistic quantum chemistry: Two-electron picture-change corrections made simple. J Chem Phys 2022; 157:114106. [PMID: 36137811 DOI: 10.1063/5.0095112] [Citation(s) in RCA: 7] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Based on self-consistent field (SCF) atomic mean-field (amf) quantities, we present two simple yet computationally efficient and numerically accurate matrix-algebraic approaches to correct both scalar-relativistic and spin-orbit two-electron picture-change effects (PCEs) arising within an exact two-component (X2C) Hamiltonian framework. Both approaches, dubbed amfX2C and e(xtended)amfX2C, allow us to uniquely tailor PCE corrections to mean-field models, viz. Hartree-Fock or Kohn-Sham DFT, in the latter case also avoiding the need for a point-wise calculation of exchange-correlation PCE corrections. We assess the numerical performance of these PCE correction models on spinor energies of group 18 (closed-shell) and group 16 (open-shell) diatomic molecules, achieving a consistent ≈10-5 Hartree accuracy compared to reference four-component data. Additional tests include SCF calculations of molecular properties such as absolute contact density and contact density shifts in copernicium fluoride compounds (CnFn, n = 2,4,6), as well as equation-of-motion coupled-cluster calculations of x-ray core-ionization energies of 5d- and 6d-containing molecules, where we observe an excellent agreement with reference data. To conclude, we are confident that our (e)amfX2C PCE correction models constitute a fundamental milestone toward a universal and reliable relativistic two-component quantum-chemical approach, maintaining the accuracy of the parent four-component one at a fraction of its computational cost.
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Affiliation(s)
- Stefan Knecht
- Algorithmiq Ltd, Kanavakatu 3C, FI-00160 Helsinki, Finland
| | - Michal Repisky
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, UiT-The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Hans Jørgen Aagaard Jensen
- Department of Physics, Chemistry and Pharmacy, University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark
| | - Trond Saue
- Laboratoire de Chimie et Physique Quantiques (CNRS UMR 5626), Université Toulouse III - Paul Sabatier, 118 Route de Narbonne, F-31062 Toulouse Cedex, France
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8
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Florez E, Smits O, Mewes JM, Jerabek P, Schwerdtfeger P. From the gas phase to the solid state: The chemical bonding in the superheavy element flerovium. J Chem Phys 2022; 157:064304. [DOI: 10.1063/5.0097642] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
As early as 1975, Pitzer suggested that copernicium, flerovium and oganesson are volatile substances behaving noble-gas like because of their closed-shell configurations and accompanying relativistic effects. It is, however, precarious to predict the chemical bonding and physical behavior of a solid by knowledge of the atomic or molecular properties only. Copernicium and oganesson have been analyzed very recently by our group. Both are predicted to be semi-conductors and volatile substances with rather low melting and boiling points, which may justify a comparison with the noble gas elements. Here we study closed-shell flerovium in detail to predict solid-state properties including the melting point from a decomposition of the total energy into many-body forces derived from relativistic coupled-cluster and from density functional theory. The convergence of such a decomposition for flerovium is critically analyzed, and the problem of using density functional theory is highlighted. We predict that flerovium is in many ways not behaving like a typical noble gas element despite its closed-shell 7$p_{1/2}^2$ configuration and resulting weak interactions. Unlike for the noble gases, the many-body expansion in terms of the interaction energy is not converging smoothly. This makes the accurate prediction of phase transitions very difficult. Nevertheless, a first prediction by Monte-Carlo simulation estimates the melting point at $284\pm 50$ K. Furthermore, calculations for the electronic band gap suggests that flerovium is a semi-conductor similar to copernicium
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Affiliation(s)
- Edison Florez
- New Zealand Institute for Advanced Study, New Zealand
| | - Odile Smits
- New Zealand Institute for Advanced Study, New Zealand
| | - Jan-Michael Mewes
- University of Bonn Institute of Physical and Theoretical Chemistry, Germany
| | | | - Peter Schwerdtfeger
- Center for Theoretical Chemistry and Physics, New Zealand Institute for Advanced Study, New Zealand
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9
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Yuan X, Visscher L, Gomes ASP. Assessing MP2 frozen natural orbitals in relativistic correlated electronic structure calculations. J Chem Phys 2022; 156:224108. [PMID: 35705406 DOI: 10.1063/5.0087243] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/31/2023] Open
Abstract
The high computational scaling with the basis set size and the number of correlated electrons is a bottleneck limiting applications of coupled cluster algorithms, in particular for calculations based on two- or four-component relativistic Hamiltonians, which often employ uncontracted basis sets. This problem may be alleviated by replacing canonical Hartree-Fock virtual orbitals by natural orbitals (NOs). In this paper, we describe the implementation of a module for generating NOs for correlated wavefunctions and, in particular, second order Møller-Plesset perturbation frozen natural orbitals (MP2FNOs) as a component of our novel implementation of relativistic coupled cluster theory for massively parallel architectures [Pototschnig et al. J. Chem. Theory Comput. 17, 5509, (2021)]. Our implementation can manipulate complex or quaternion density matrices, thus allowing for the generation of both Kramers-restricted and Kramers-unrestricted MP2FNOs. Furthermore, NOs are re-expressed in the parent atomic orbital (AO) basis, allowing for generating coupled cluster singles and doubles NOs in the AO basis for further analysis. By investigating the truncation errors of MP2FNOs for both the correlation energy and molecular properties-electric field gradients at the nuclei, electric dipole and quadrupole moments for hydrogen halides HX (X = F-Ts), and parity-violating energy differences for H2Z2 (Z = O-Se)-we find MP2FNOs accelerate the convergence of the correlation energy in a roughly uniform manner across the Periodic Table. It is possible to obtain reliable estimates for both energies and the molecular properties considered with virtual molecular orbital spaces truncated to about half the size of the full spaces.
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Affiliation(s)
- Xiang Yuan
- Univ. Lille, CNRS, UMR 8523 - PhLAM - Physique des Lasers Atomes et Molécules, F-59000 Lille, France
| | - Lucas Visscher
- Department of Chemistry and Pharmaceutical Sciences, Faculty of Science, Vrije Universiteit Amsterdam, de Boelelaan 1083, 1081 HV Amsterdam, The Netherlands
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10
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Krivdin LB. Recent advances in computational 31 P NMR: Part 1. Chemical shifts. MAGNETIC RESONANCE IN CHEMISTRY : MRC 2020; 58:478-499. [PMID: 31703153 DOI: 10.1002/mrc.4965] [Citation(s) in RCA: 14] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/18/2019] [Revised: 10/19/2019] [Accepted: 10/23/2019] [Indexed: 06/10/2023]
Abstract
This is the first part of two closely related reviews dealing with the computation of phosphorus-31 nuclear magnetic resonance chemical shifts in a wide series of organophosphorus compounds including complexes, clusters, and bioorganic phosphorus compounds. In particular, the analysis of the accuracy factors, such as substitution effects, solvent effects, vibrational corrections, and relativistic effects, is presented. This review is dedicated to the Full Member of the Russian Academy of Sciences Professor Boris A. Trofimov in view of his invaluable contribution to the field of synthesis, nuclear magnetic resonance, and computation studies of organophosphorus compounds.
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Affiliation(s)
- Leonid B Krivdin
- A. E. Favorsky Irkutsk Institute of Chemistry, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia
- Angarsk State Technical University, Irkutsk Region, Russia
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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: 118] [Impact Index Per Article: 29.5] [Reference Citation Analysis] [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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12
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Liu J, Shen X, Wang K, Sang C. Ionization potentials of the superheavy element livermorium (Z = 116). J Chem Phys 2020; 152:204303. [PMID: 32486696 DOI: 10.1063/5.0007145] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/11/2023] Open
Abstract
Ionization potentials (IPs) of the superheavy element (SHE) livermorium (Lv) and its ions Lvn+ (n = 1, …, 6) are obtained using the multiconfiguration Dirac-Hartree-Fock method. The effects of electron correlation in the subshells {6s, 6p, 6d, 7s, 7p} are taken into account, together with the Breit interaction and quantum electrodynamic (QED) effects. In Lv, the strong relativistic effect causes a large splitting between the energies of the 7p1/2 and 7p3/2 orbitals, which results in a large difference between IP3 and IP2. As a consequence, the behavior of the IPs of Lv differs from that of the lighter oxygen group elements: among the IPn Z (Z = Se, Te, Po, Lv; n = 1, …, 6), IP1,2 Lv are the smallest, whereas IP3,4,5,6 Lv are the second largest among the IP3,4,5,6 Z. This jump in IP can be taken to be a natural characteristic of SHEs because the calculations of the difference between IP3 and IP2 are only weakly affected by electron correlation, the Breit interaction, and QED effects, with only the relativistic effect being significant. We also show that the energies and IPs of neutral Lv and Lv+ are clearly influenced by the electron correlation effect in the subshells {6s, 6p, 6d}. The Breit interaction and QED have an effect on the energies that has an exponential dependence on the atomic number, although they have only a weak influence on the IPs. The analysis of the stabilities of the 2+, 4+, and 6 + states of Lv shows good agreement with predictions from other studies.
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Affiliation(s)
- Juan Liu
- School of Mathematics and Physics & School of Mechatronics, Handan University, Handan 056005, China
| | - Xiaozhi Shen
- School of Mathematics and Physics & School of Mechatronics, Handan University, Handan 056005, China
| | - Kai Wang
- College of Physics Science and Technology, Hebei University, Baoding 071002, China
| | - Cuicui Sang
- School of Science, Lanzhou University of Technology, Lanzhou 730050, China
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13
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Santiago RT, Haiduke RLA. Determination of molecular properties for moscovium halides (McF and McCl). Theor Chem Acc 2020. [DOI: 10.1007/s00214-020-2573-4] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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14
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Zou W, Guo G, Suo B, Liu W. Analytic Energy Gradients and Hessians of Exact Two-Component Relativistic Methods: Efficient Implementation and Extensive Applications. J Chem Theory Comput 2020; 16:1541-1554. [DOI: 10.1021/acs.jctc.9b01120] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Wenli Zou
- Shaanxi Key Laboratory for Theoretical Physics Frontiers and Institute of Modern Physics, Northwest University, Xi’an 710127, Shaanxi, P. R. China
| | - Guina Guo
- Shaanxi Key Laboratory for Theoretical Physics Frontiers and Institute of Modern Physics, Northwest University, Xi’an 710127, Shaanxi, P. R. China
| | - Bingbing Suo
- Shaanxi Key Laboratory for Theoretical Physics Frontiers and Institute of Modern Physics, Northwest University, Xi’an 710127, Shaanxi, P. R. China
| | - Wenjian Liu
- Qingdao Institute for Theoretical and Computational Sciences, Shandong University, Qingdao 266237, Shandong, P. R. China
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15
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Pino-Rios R, Vásquez-Espinal A, Alvarez-Thon L, Tiznado W. Relativistic effects on the aromaticity of E3M3H3 (E = C–Pb; M = N–Bi) benzene analogues. Phys Chem Chem Phys 2020; 22:22973-22978. [DOI: 10.1039/d0cp04446f] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The relativistic effects on the aromaticity of a set of benzene analogues, E3M3H3 (E = C–Pb; M = N–Bi) heterocycles, using magnetically induced current density (MICD) and the NICSzz component of the conventional nucleus independent chemical shift (NICS), is hereby examined.
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Affiliation(s)
- Ricardo Pino-Rios
- Laboratorio de Química Teórica
- Facultad de Química y Biología
- Universidad de Santiago de Chile (USACH)
- Av. Libertador Bernardo O’Higgins
- Santiago
| | - Alejandro Vásquez-Espinal
- Computational and Theoretical Chemistry Group
- Departamento de Ciencias Químicas
- Facultad de Ciencias Exactas
- Universidad Andres Bello
- Santiago
| | | | - William Tiznado
- Computational and Theoretical Chemistry Group
- Departamento de Ciencias Químicas
- Facultad de Ciencias Exactas
- Universidad Andres Bello
- Santiago
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16
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Zhu H, Gao C, Filatov M, Zou W. Mössbauer isomer shifts and effective contact densities obtained by the exact two-component (X2C) relativistic method and its local variants. Phys Chem Chem Phys 2020; 22:26776-26786. [DOI: 10.1039/d0cp04549g] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/28/2022]
Abstract
A standalone program to calculate scalar relativistic effective contact densities.
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Affiliation(s)
- Hong Zhu
- Institute of Modern Physics
- Northwest University, and Shaanxi Key Laboratory for Theoretical Physics Frontiers
- Xi'an
- P. R. China
| | - Chun Gao
- Institute of Modern Physics
- Northwest University, and Shaanxi Key Laboratory for Theoretical Physics Frontiers
- Xi'an
- P. R. China
| | - Michael Filatov
- Department of Chemistry
- Kyungpook National University
- Daegu 702-701
- South Korea
| | - Wenli Zou
- Institute of Modern Physics
- Northwest University, and Shaanxi Key Laboratory for Theoretical Physics Frontiers
- Xi'an
- P. R. China
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17
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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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18
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Krivdin LB. Computational 1 H NMR: Part 1. Theoretical background. MAGNETIC RESONANCE IN CHEMISTRY : MRC 2019; 57:897-914. [PMID: 30963636 DOI: 10.1002/mrc.4873] [Citation(s) in RCA: 39] [Impact Index Per Article: 7.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/03/2019] [Revised: 03/31/2019] [Accepted: 04/01/2019] [Indexed: 06/09/2023]
Abstract
This is the first one of the three closely interrelated reviews to be published in Magnetic Resonance in Chemistry dealing with accordingly theoretical background, chemical applications, and biochemical studies of and by means of computational 1 H NMR. Presented in the first part of the review is a general outline of the modern theoretical methods and accuracy factors of computational 1 H NMR involving locally dense basis set schemes, solvent effects, vibrational corrections, and relativistic effects performed at the density functional theory and/or nonempirical levels. This review is dedicated to Prof. Stephan Sauer in view of his invaluable contribution to the field of computational nuclear magnetic resonance.
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Affiliation(s)
- Leonid B Krivdin
- A. E. Favorsky Irkutsk Institute of Chemistry, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia
- Angarsk State Technical University, Angarsk, Russia
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19
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Kervazo S, Réal F, Virot F, Severo Pereira Gomes A, Vallet V. Accurate Predictions of Volatile Plutonium Thermodynamic Properties. Inorg Chem 2019; 58:14507-14521. [DOI: 10.1021/acs.inorgchem.9b02096] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Sophie Kervazo
- Univ. Lille, CNRS, UMR 8523-PhLAM-Physique des Lasers Atomes et Molécules, F-59000 Lille, France
- Department of Chemistry and Chemical Biology, McMaster University, 1280 Main Street West, Hamilton L8S 4M1, Canada
| | - Florent Réal
- Univ. Lille, CNRS, UMR 8523-PhLAM-Physique des Lasers Atomes et Molécules, F-59000 Lille, France
| | - François Virot
- Institut de Radioprotection et de Sûreté Nucléaire (IRSN) PSN-RES, Cadarache, Saint Paul Lez Durance 13115, France
| | | | - Valérie Vallet
- Univ. Lille, CNRS, UMR 8523-PhLAM-Physique des Lasers Atomes et Molécules, F-59000 Lille, France
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20
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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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21
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Pagola GI, Larsen MAB, Ferraro M, Sauer SPA. The influence of relativistic effects on nuclear magnetic resonance spin-spin coupling constant polarizabilities of H2O2, H2S2, H2Se2, and H2Te2. J Comput Chem 2018; 39:2589-2600. [DOI: 10.1002/jcc.25648] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/29/2018] [Revised: 09/18/2018] [Accepted: 09/19/2018] [Indexed: 12/23/2022]
Affiliation(s)
- Gabriel I. Pagola
- Departamento de Física, Facultad de Ciencias Exactas y Naturales; Universidad de Buenos Aires and IFIBA, CONICET, Ciudad Universitaria; Pabellón 1, (1428) Buenos Aires Argentina
| | - Martin A. B. Larsen
- Department of Chemistry; University of Copenhagen; Universitetsparken 5, DK-2100 Copenhagen Ø Denmark
| | - Marta Ferraro
- Departamento de Física, Facultad de Ciencias Exactas y Naturales; Universidad de Buenos Aires and IFIBA, CONICET, Ciudad Universitaria; Pabellón 1, (1428) Buenos Aires Argentina
| | - Stephan P. A. Sauer
- Department of Chemistry; University of Copenhagen; Universitetsparken 5, DK-2100 Copenhagen Ø Denmark
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22
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Shee A, Saue T, Visscher L, Severo Pereira Gomes A. Equation-of-motion coupled-cluster theory based on the 4-component Dirac–Coulomb(–Gaunt) Hamiltonian. Energies for single electron detachment, attachment, and electronically excited states. J Chem Phys 2018; 149:174113. [DOI: 10.1063/1.5053846] [Citation(s) in RCA: 42] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Avijit Shee
- Department of Chemistry, University of Michigan, 930 N. University, Ann Arbor, Michigan 48109-1055, USA
- Université de Lille, CNRS, UMR 8523—PhLAM—Physique des Lasers, Atomes et Molécules, F-59000 Lille, France
| | - Trond Saue
- Laboratoire de Chimie et Physique Quantiques, UMR 5626 CNRS—Université Toulouse III–Paul Sabatier, 118 Route de Narbonne, F-31062 Toulouse, France
| | - Lucas Visscher
- Division of Theoretical Chemistry, Faculty of Sciences, Vrije Universiteit Amsterdam, De Boelelaan 1083, 1081 HV Amsterdam, The Netherlands
| | - André Severo Pereira Gomes
- Université de Lille, CNRS, UMR 8523—PhLAM—Physique des Lasers, Atomes et Molécules, F-59000 Lille, France
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23
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Zou W, Cai Z, Wang J, Xin K. An open library of relativistic core electron density function for the QTAIM analysis with pseudopotentials. J Comput Chem 2018; 39:1697-1706. [DOI: 10.1002/jcc.25214] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/20/2017] [Revised: 02/13/2018] [Accepted: 03/04/2018] [Indexed: 11/10/2022]
Affiliation(s)
- Wenli Zou
- Institute of Modern Physics, Northwest University; Xi'an Shaanxi 710127 People's Republic of China
- Shaanxi Key Laboratory for Theoretical Physics Frontiers; Xi'an Shaanxi 710127 People's Republic of China
| | - Ziyu Cai
- School of Physics; Northwest University; Xi'an Shaanxi 710127 People's Republic of China
| | - Jiankang Wang
- School of Physics; Northwest University; Xi'an Shaanxi 710127 People's Republic of China
| | - Kunyu Xin
- School of Physics; Northwest University; Xi'an Shaanxi 710127 People's Republic of China
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24
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Alvarez-Thon L, Inostroza-Pino N. Spin-orbit effects on magnetically induced current densities in the M5− (M = N,P,As,Sb,Bi,Mc) clusters. J Comput Chem 2018; 39:862-868. [DOI: 10.1002/jcc.25170] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/28/2017] [Revised: 01/08/2018] [Accepted: 01/09/2018] [Indexed: 11/10/2022]
Affiliation(s)
- Luis Alvarez-Thon
- Facultad de Ingeniería, Universidad Central de Chile; Toesca Santiago 1783 Chile
| | - Natalia Inostroza-Pino
- Theoretical and Quantum Chemistry Center, Instituto de Ciencias Químicas Aplicadas; Facultad de Ingeniería, Universidad Autónoma de Chile, El Llano de Subercaseaux 2801; Santiago Chile
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25
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Relativistic effects in the NMR spectra of compounds containing heavy chalcogens. MENDELEEV COMMUNICATIONS 2018. [DOI: 10.1016/j.mencom.2018.01.001] [Citation(s) in RCA: 40] [Impact Index Per Article: 6.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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26
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Pinto de Magalhães H, Togni A, Lüthi HP. Importance of Nonclassical σ-Hole Interactions for the Reactivity of λ3-Iodane Complexes. J Org Chem 2017; 82:11799-11805. [DOI: 10.1021/acs.joc.7b01716] [Citation(s) in RCA: 33] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/19/2023]
Affiliation(s)
- Halua Pinto de Magalhães
- Departement of Chemistry
and Applied Biosciences, ETH Zürich, Vladimir-Prelog-Weg 2, CH-8093 Zürich, Switzerland
| | - Antonio Togni
- Departement of Chemistry
and Applied Biosciences, ETH Zürich, Vladimir-Prelog-Weg 2, CH-8093 Zürich, Switzerland
| | - Hans Peter Lüthi
- Departement of Chemistry
and Applied Biosciences, ETH Zürich, Vladimir-Prelog-Weg 2, CH-8093 Zürich, Switzerland
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27
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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] [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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28
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Teodoro TQ, Visscher L, da Silva ABF, Haiduke RLA. Relativistic Prolapse-Free Gaussian Basis Sets of Quadruple-ζ Quality: (aug-)RPF-4Z. III. The f-Block Elements. J Chem Theory Comput 2017; 13:1094-1101. [DOI: 10.1021/acs.jctc.6b00650] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Tiago Quevedo Teodoro
- Department of Chemistry and Molecular Physics, São Carlos Institute of Chemistry, University of São Paulo, Trabalhador São-carlense Av. 400, São Carlos, Brazil
- Amsterdam
Center for Multiscale Modeling, Vrije Universiteit Amsterdam, de Boelelaan
1083, 1081 HV Amsterdam, The Netherlands
| | - Lucas Visscher
- Amsterdam
Center for Multiscale Modeling, Vrije Universiteit Amsterdam, de Boelelaan
1083, 1081 HV Amsterdam, The Netherlands
| | - Albérico Borges Ferreira da Silva
- Department of Chemistry and Molecular Physics, São Carlos Institute of Chemistry, University of São Paulo, Trabalhador São-carlense Av. 400, São Carlos, Brazil
| | - Roberto Luiz Andrade Haiduke
- Department of Chemistry and Molecular Physics, São Carlos Institute of Chemistry, University of São Paulo, Trabalhador São-carlense Av. 400, São Carlos, Brazil
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29
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Samultsev DO, Rusakov YY, Krivdin LB. Normal halogen dependence of 13 C NMR chemical shifts of halogenomethanes revisited at the four-component relativistic level. MAGNETIC RESONANCE IN CHEMISTRY : MRC 2016; 54:787-792. [PMID: 27168025 DOI: 10.1002/mrc.4452] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/19/2016] [Revised: 04/15/2016] [Accepted: 04/19/2016] [Indexed: 06/05/2023]
Abstract
The 'Normal Halogen Dependence' of 13 C NMR chemical shifts in the series of halogenomethanes is revisited at the four-component relativistic level. Calculations of 13 C NMR chemical shifts of 70 halogenomethanes have been carried out at the density functional theory (DFT) and MP2 levels with taking into account relativistic effects using the four-component relativistic theory of Dirac-Coulomb within the different computational methods (4RPA, 4OPW91) and hybrid computational schemes (MP2 + 4RPA, MP2 + 4OPW91). The most efficient computational protocols are derived for practical purposes. Relativistic shielding effect reaches as much as several hundreds of ppm for heavy halogenomethanes, and to account for this effect in comparison with experiment at the qualitative level, relativistic Dyall's basis sets of triple-zeta quality or higher are to be used within the framework of the four-component relativistic theory taking into account solvent effects. Relativistic geometrical optimization (as compared with the non-relativistic level) is essential for the molecules containing at least two iodines at one carbon atom. Copyright © 2016 John Wiley & Sons, Ltd.
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Affiliation(s)
- Dmitry O Samultsev
- Siberian Branch of the Russian Academy of Sciences, A.E. Favorsky Irkutsk Institute of Chemistry, Favorsky St. 1, 664033, Irkutsk, Russia
| | - Yury Yu Rusakov
- Siberian Branch of the Russian Academy of Sciences, A.E. Favorsky Irkutsk Institute of Chemistry, Favorsky St. 1, 664033, Irkutsk, Russia
| | - Leonid B Krivdin
- Siberian Branch of the Russian Academy of Sciences, A.E. Favorsky Irkutsk Institute of Chemistry, Favorsky St. 1, 664033, Irkutsk, Russia
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30
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Relativistic effect of iodine in 13C NMR chemical shifts of iodomethanes from quantum chemical calculations within the framework of the full four-component relativistic Dirac—Coulomb scheme. Russ Chem Bull 2016. [DOI: 10.1007/s11172-015-1221-y] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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31
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Almoukhalalati A, Knecht S, Jensen HJA, Dyall KG, Saue T. Electron correlation within the relativistic no-pair approximation. J Chem Phys 2016; 145:074104. [DOI: 10.1063/1.4959452] [Citation(s) in RCA: 36] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/31/2022] Open
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32
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Helmich-Paris B, Repisky M, Visscher L. Laplace-transformed atomic orbital-based Møller–Plesset perturbation theory for relativistic two-component Hamiltonians. J Chem Phys 2016; 145:014107. [DOI: 10.1063/1.4955106] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Benjamin Helmich-Paris
- Section of Theoretical Chemistry, VU University Amsterdam, De Boelelaan 1083, 1081 HV Amsterdam, The Netherlands
| | - Michal Repisky
- CTCC, Department of Chemistry, UIT The Arctic University of Norway, N-9037 Tromø, Norway
| | - Lucas Visscher
- Section of Theoretical Chemistry, VU University Amsterdam, De Boelelaan 1083, 1081 HV Amsterdam, The Netherlands
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33
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Relativistic double-zeta, triple-zeta, and quadruple-zeta basis sets for the light elements H–Ar. Theor Chem Acc 2016. [DOI: 10.1007/s00214-016-1884-y] [Citation(s) in RCA: 50] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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34
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Gao DD, Cao Z, Wang F. Spin–Orbit Effects in Closed-Shell Heavy and Superheavy Element Monohydrides and Monofluorides with Coupled-Cluster Theory. J Phys Chem A 2016; 120:1231-42. [DOI: 10.1021/acs.jpca.5b11948] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023]
Affiliation(s)
- Dong-Dong Gao
- Institute
of Atomic and Molecular Physics, Sichuan University, Chengdu 610064, P. R. China
| | - Zhanli Cao
- Institute
of Atomic and Molecular Physics, Sichuan University, Chengdu 610064, P. R. China
| | - Fan Wang
- Institute
of Atomic and Molecular Physics, Sichuan University, Chengdu 610064, P. R. China
- Key Laboratory of High Energy Density Physics and Technology, Ministry of Education, Sichuan University, Chengdu 610064, P. R. China
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35
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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] [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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36
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Rusakov YY, Rusakova IL, Krivdin LB. MP2 calculation of (77) Se NMR chemical shifts taking into account relativistic corrections. MAGNETIC RESONANCE IN CHEMISTRY : MRC 2015; 53:485-492. [PMID: 25998325 DOI: 10.1002/mrc.4226] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/17/2014] [Revised: 01/26/2015] [Accepted: 01/29/2015] [Indexed: 06/04/2023]
Abstract
The main factors affecting the accuracy and computational cost of the Second-order Möller-Plesset perturbation theory (MP2) calculation of (77) Se NMR chemical shifts (methods and basis sets, relativistic corrections, and solvent effects) are addressed with a special emphasis on relativistic effects. For the latter, paramagnetic contribution (390-466 ppm) dominates over diamagnetic term (192-198 ppm) resulting in a total shielding relativistic correction of about 230-260 ppm (some 15% of the total values of selenium absolute shielding constants). Diamagnetic term is practically constant, while paramagnetic contribution spans over 70-80 ppm. In the (77) Se NMR chemical shifts scale, relativistic corrections are about 20-30 ppm (some 5% of the total values of selenium chemical shifts). Solvent effects evaluated within the polarizable continuum solvation model are of the same order of magnitude as relativistic corrections (about 5%). For the practical calculations of (77) Se NMR chemical shifts of the medium-sized organoselenium compounds, the most efficient computational protocols employing relativistic Dyall's basis sets and taking into account relativistic and solvent corrections are suggested. The best result is characterized by a mean absolute error of 17 ppm for the span of (77) Se NMR chemical shifts reaching 2500 ppm resulting in a mean absolute percentage error of 0.7%.
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Affiliation(s)
- Yury Yu Rusakov
- Siberian Branch of the Russian Academy of Sciences, A. E. Favorsky Irkutsk Institute of Chemistry, Favorsky St 1, Irkutsk, 664033, Russia
| | - Irina L Rusakova
- Siberian Branch of the Russian Academy of Sciences, A. E. Favorsky Irkutsk Institute of Chemistry, Favorsky St 1, Irkutsk, 664033, Russia
| | - Leonid B Krivdin
- Siberian Branch of the Russian Academy of Sciences, A. E. Favorsky Irkutsk Institute of Chemistry, Favorsky St 1, Irkutsk, 664033, Russia
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37
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Fedorov SV, Rusakov YY, Krivdin LB. Relativistic Environmental Effects in 29Si NMR Chemical Shifts of Halosilanes: Light Nucleus, Heavy Environment. J Phys Chem A 2015; 119:5778-89. [DOI: 10.1021/acs.jpca.5b02337] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Sergey V. Fedorov
- A.E. Favorsky Irkutsk Institute
of Chemistry, Siberian Branch of the Russian Academy of Sciences, Favorsky St. 1, 664033 Irkutsk, Russia
| | - Yury Yu. Rusakov
- 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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38
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Shee A, Knecht S, Saue T. A theoretical benchmark study of the spectroscopic constants of the very heavy rare gas dimers. Phys Chem Chem Phys 2015; 17:10978-86. [DOI: 10.1039/c5cp01094b] [Citation(s) in RCA: 25] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The binding energy of the superheavy dimer Uuo2 is considerably larger than that of its lighter homologues, despite a 40% reduction due to spin-other orbit interaction.
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Affiliation(s)
- Avijit Shee
- Laboratoire de Chimie et Physique Quantiques (UMR 5626)
- CNRS/Université Toulouse III – Paul Sabatier
- F-31062 Toulouse cedex
- France
| | - Stefan Knecht
- Laboratory of Physical Chemistry
- ETH Zürich
- 8093 Zürich
- Switzerland
| | - Trond Saue
- Laboratoire de Chimie et Physique Quantiques (UMR 5626)
- CNRS/Université Toulouse III – Paul Sabatier
- F-31062 Toulouse cedex
- France
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Kim I, Lee YS. Two-component multi-configurational second-order perturbation theory with Kramers restricted complete active space self-consistent field reference function and spin-orbit relativistic effective core potential. J Chem Phys 2014; 141:164104. [DOI: 10.1063/1.4898153] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Inkoo Kim
- Department of Chemistry, Korea Advanced Institute of Science and Technology (KAIST), Daejeon 305-701, South Korea
| | - Yoon Sup Lee
- Department of Chemistry, Korea Advanced Institute of Science and Technology (KAIST), Daejeon 305-701, South Korea
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40
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Teodoro TQ, da Silva ABF, Haiduke RLA. Relativistic Prolapse-Free Gaussian Basis Set of Quadruple-ζ Quality: (aug-)RPF-4Z. I. The s- and p-Block Elements. J Chem Theory Comput 2014; 10:3800-6. [DOI: 10.1021/ct500518n] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Tiago Quevedo Teodoro
- Departamento de Química
e Física Molecular, Instituto de Química de São
Carlos, Universidade de São Paulo, Av. Trabalhador São-carlense,
400-CP 780 13560-970, São Carlos, SP, Brazil
| | - Albérico Borges Ferreira da Silva
- Departamento de Química
e Física Molecular, Instituto de Química de São
Carlos, Universidade de São Paulo, Av. Trabalhador São-carlense,
400-CP 780 13560-970, São Carlos, SP, Brazil
| | - Roberto Luiz Andrade Haiduke
- Departamento de Química
e Física Molecular, Instituto de Química de São
Carlos, Universidade de São Paulo, Av. Trabalhador São-carlense,
400-CP 780 13560-970, São Carlos, SP, Brazil
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41
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Kim I, Lee YS. Two-component Kramers restricted complete active space self-consistent field method with relativistic effective core potential revisited: Theory, implementation, and applications to spin-orbit splitting of lower p-block atoms. J Chem Phys 2013; 139:134115. [DOI: 10.1063/1.4822426] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/27/2022] Open
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42
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Teodoro TQ, Haiduke RLA. Accurate relativistic adapted gaussian basis sets for francium through ununoctium without variational prolapse and to be used with both uniform sphere and gaussian nucleus models. J Comput Chem 2013; 34:2372-9. [DOI: 10.1002/jcc.23400] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/29/2013] [Revised: 07/12/2013] [Accepted: 07/17/2013] [Indexed: 11/10/2022]
Affiliation(s)
- Tiago Quevedo Teodoro
- Departamento de Química e Física Molecular; Instituto de Química de São Carlos, Universidade de São Paulo; Av. Trabalhador São-carlense; 400 - CP 780, 13560-970 - São Carlos; SP; Brazil
| | - Roberto Luiz Andrade Haiduke
- Departamento de Química e Física Molecular; Instituto de Química de São Carlos, Universidade de São Paulo; Av. Trabalhador São-carlense; 400 - CP 780, 13560-970 - São Carlos; SP; Brazil
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43
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Filatov M, Zou W, Cremer D. Spin-orbit coupling calculations with the two-component normalized elimination of the small component method. J Chem Phys 2013; 139:014106. [DOI: 10.1063/1.4811776] [Citation(s) in RCA: 37] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Hangele T, Dolg M. Accuracy of relativistic energy-consistent pseudopotentials for superheavy elements 111–118: Molecular calibration calculations. J Chem Phys 2013; 138:044104. [DOI: 10.1063/1.4776757] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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