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van Horn M, List NH, Saue T. Transition moments beyond the electric-dipole approximation: Visualization and basis set requirements. J Chem Phys 2023; 158:2889486. [PMID: 37154286 DOI: 10.1063/5.0147105] [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] [Received: 02/19/2023] [Accepted: 04/24/2023] [Indexed: 05/10/2023] Open
Abstract
In the simulation of x-ray absorption spectroscopy, the validity of the electric-dipole approximation comes into question. Three different schemes exist to go beyond this approximation: the first scheme is based on the full semi-classical light-matter interaction, whereas the latter two schemes, referred to as the generalized length and velocity representation, are based on truncated multipole expansions. Even though these schemes have been successfully implemented in several quantum chemistry codes, their basis set requirements remained largely unknown. Here, we assess basis set requirements of these three schemes. We have considered 1s1/2 and 7s1/2 → 7p1/2 transitions in the radium atom, representative of core and valence excitations, respectively, and carried out calculations with dyall.aeXz (X = 2, 3, 4) basis sets at the four-component relativistic TD-HF level of theory. Our basis set study was greatly facilitated by the generation and visualization of radial distributions of transition moment densities, allowing for a straightforward comparison with equivalent finite-difference calculations. Pertaining to the truncated interaction, we find that the length representation electric multipole is the easiest to converge, requiring the dyall.ae2z basis for low-order multipoles and the dyall.ae4z basis at higher orders. The magnetic multipole moments follow a similar trend although they are more difficult to converge. The velocity representation electric multipoles are the most difficult to converge: at high orders, the dyall.ae3z and dyall.ae4z basis sets introduce artificial peaks and oscillations, which increase the overall error. These artifacts are associated with linear dependence issues in the small component space of larger basis sets. The full interaction operator, however, does not suffer from these problems, and we therefore recommend its use in the simulation of x-ray spectroscopy.
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Affiliation(s)
- Martin van Horn
- Laboratoire de Chimie et Physique Quantiques, UMR 5626 CNRS - Université Toulouse III-Paul Sabatier, 118 route de Narbonne, F-31062 Toulouse, France
| | - Nanna Holmgaard List
- Department of Chemistry, School of Engineering Sciences in Chemistry, Biotechnology and Health (CBH), KTH Royal Institute of Technology, SE-10044 Stockholm, Sweden
| | - Trond Saue
- Laboratoire de Chimie et Physique Quantiques, UMR 5626 CNRS - Université Toulouse III-Paul Sabatier, 118 route de Narbonne, F-31062 Toulouse, France
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2
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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] [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
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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3
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Sunaga A, Salman M, Saue T. 4-component relativistic Hamiltonian with effective QED potentials for molecular calculations. J Chem Phys 2022; 157:164101. [DOI: 10.1063/5.0116140] [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: 11/14/2022] Open
Abstract
We report the implementation of effective QED potentials for all-electron 4-component relativistic molecular calculations using the DIRAC code. The potentials are available for 2-component calculations, proper picture-change transformation being mandatory. In detail, we have implemented the Uehling potential [E.A. Uehling, Phys. Rev. 48 , 55 (1935)] for vacuum polarization and two effeffective potentials [P. Pyykkö and L.-B. Zhao, J. Phys. B 36 , 1469 (2003); V. V. Flambaum and J. S. M. Ginges, Phys. Rev. A 72 , 052115 (2005)] for electron self-energy. We provide extensive theoretical background for these potentials. We report the following sample applications: i) we confirm the conjecture of P. Pyykkö that QED effects are observable for the AuCN molecule by directly calculating ground-state rotational constants B0 of the three isotopomers studied by MW spectroscopy; QED brings the corresponding substitution Au-C bond length rs from 0.23 to 0.04 pm agreement with experiment, ii) spectroscopic constants of van der Waals dimers M2 (M=Hg, Rn, Cn, Og): QED induces bond length expansions on the order of 0.15(0.30) pm for row 6(7) dimers, iii) we confirm that there is a significant change of valence s population of Pb in the reaction PbH4 → PbH2 + H2 , which is thereby a good candidate for observing QED effects in chemical reactions. QED contributes 0.32 kcal/mol to the reaction energy, thereby reducing its magnitude by -1.27 %. For corresponding hydrides of superheavy flerovium, the electronic structures are quite similar. Interestingly, the QED contribution to the reaction energy is of quite similar magnitude (0.35 kcal/mol;-0.50 %).
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Affiliation(s)
- Ayaki Sunaga
- Department of Chemistry, Tokyo Metropolitan University, Japan
| | | | - Trond Saue
- Laboratoire de Chimie et Physique Quantiques, CNRS Délégation Midi-Pyrénées, France
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van Horn M, Saue T, List NH. Probing chirality across the electromagnetic spectrum with the full semi-classical light–matter interaction. J Chem Phys 2022; 156:054113. [DOI: 10.1063/5.0077502] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/26/2023] Open
Affiliation(s)
- Martin van Horn
- Laboratoire de Chimie et Physique Quantiques, UMR 5626 CNRS—Université Toulouse III-Paul Sabatier, 118 Route de Narbonne, F-31062 Toulouse, 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
| | - Nanna Holmgaard List
- School of Engineering Sciences in Chemistry, Biotechnology and Health (CBH), Department of Theoretical Chemistry and Biology, KTH Royal Institute of Technology, Stockholm, Sweden
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5
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Sunaga A, Saue T. Towards highly accurate calculations of parity violation in chiral molecules: relativistic coupled-cluster theory including QED-effects. Mol Phys 2021. [DOI: 10.1080/00268976.2021.1974592] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
Affiliation(s)
- Ayaki Sunaga
- Institute for Integrated Radiation and Nuclear Science, Kyoto University, Osaka, Japan
| | - Trond Saue
- Laboratoire de Chimie et Physique Quantique, UMR 5626 CNRS–Université Toulouse III-Paul Sabatier, Toulouse, France
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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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7
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List NH, Melin TRL, van Horn M, Saue T. Beyond the electric-dipole approximation in simulations of x-ray absorption spectroscopy: Lessons from relativistic theory. J Chem Phys 2020; 152:184110. [DOI: 10.1063/5.0003103] [Citation(s) in RCA: 8] [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: 11/15/2022] Open
Affiliation(s)
- Nanna Holmgaard List
- Department of Chemistry and the PULSE Institute, Stanford University, Stanford, California 94305, USA
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - Timothé Romain Léo Melin
- Laboratoire de Chimie et Physique Quantique, UMR 5626 CNRS—Université Toulouse III-Paul Sabatier, 118 Route de Narbonne, F-31062 Toulouse, France
| | - Martin van Horn
- Laboratoire de Chimie et Physique Quantique, UMR 5626 CNRS—Université Toulouse III-Paul Sabatier, 118 Route de Narbonne, F-31062 Toulouse, France
| | - Trond Saue
- Laboratoire de Chimie et Physique Quantique, UMR 5626 CNRS—Université Toulouse III-Paul Sabatier, 118 Route de Narbonne, F-31062 Toulouse, France
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8
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Affiliation(s)
- L. F. Pašteka
- Centre for Advanced Study (CAS) at the Norwegian Academy of Science and Letters, Oslo, Norway
- Department of Physical and Theoretical Chemistry & Laboratory for Advanced Materials, Faculty of Natural Sciences, Comenius University, Bratislava, Slovakia
| | - T. Helgaker
- Centre for Advanced Study (CAS) at the Norwegian Academy of Science and Letters, Oslo, Norway
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, University of Oslo, Oslo, Norway
| | - T. Saue
- Centre for Advanced Study (CAS) at the Norwegian Academy of Science and Letters, Oslo, Norway
- Laboratoire de Chimie et Physique Quantiques, UMR 5626 CNRS – Universitè Toulouse III (Paul Sabatier), Toulouse Cedex 09, France
| | - D. Sundholm
- Centre for Advanced Study (CAS) at the Norwegian Academy of Science and Letters, Oslo, Norway
- Department of Chemistry, University of Helsinki, Helsinki, Finland
| | - H.-J. Werner
- Centre for Advanced Study (CAS) at the Norwegian Academy of Science and Letters, Oslo, Norway
- Institute for Theoretical Chemistry, University of Stuttgart, Stuttgart, Germany
| | - M. Hasanbulli
- Centre for Theoretical Chemistry and Physics, The New Zealand Institute for Advanced Study, Massey University Auckland, Auckland, New Zealand
| | - J. Major
- Centre for Theoretical Chemistry and Physics, The New Zealand Institute for Advanced Study, Massey University Auckland, Auckland, New Zealand
| | - P. Schwerdtfeger
- Centre for Advanced Study (CAS) at the Norwegian Academy of Science and Letters, Oslo, Norway
- Centre for Theoretical Chemistry and Physics, The New Zealand Institute for Advanced Study, Massey University Auckland, Auckland, New Zealand
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9
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Sorbelli D, Belanzoni P, Saue T, Belpassi L. Ground and excited electronic states of AuH 2via detachment energies on AuH 2− using state-of-the-art relativistic calculations. Phys Chem Chem Phys 2020; 22:26742-26752. [DOI: 10.1039/d0cp05204c] [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: 11/21/2022]
Abstract
AuH2 is not as simple as it may seem at first glance!
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Affiliation(s)
- Diego Sorbelli
- Department of Chemistry
- Biology and Biotechnology
- University of Perugia
- 06123 Perugia
- Italy
| | - Paola Belanzoni
- Department of Chemistry
- Biology and Biotechnology
- University of Perugia
- 06123 Perugia
- Italy
| | - Trond Saue
- Laboratoire de Chimie et Physique Quantiques
- UMR 5626 CNRS – Université Toulouse III-Paul Sabatier
- F-31062 Toulouse
- France
| | - Leonardo Belpassi
- Institute of Chemical Science and Technologies “Giulio Natta” (CNR-SCITEC) c/o Department of Chemistry
- Biology and Biotechnology
- University of Perugia
- 06123 Perugia
- Italy
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10
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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] [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)
- 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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11
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Knecht S, Jensen HJA, Saue T. Relativistic quantum chemical calculations show that the uranium molecule U2 has a quadruple bond. Nat Chem 2018; 11:40-44. [DOI: 10.1038/s41557-018-0158-9] [Citation(s) in RCA: 58] [Impact Index Per Article: 9.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/13/2018] [Accepted: 09/13/2018] [Indexed: 12/31/2022]
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Saleh N, Bast R, Vanthuyne N, Roussel C, Saue T, Darquié B, Crassous J. An oxorhenium complex bearing a chiral cyclohexane-1-olato-2-thiolato ligand: Synthesis, stereochemistry, and theoretical study of parity violation vibrational frequency shifts. Chirality 2017; 30:147-156. [PMID: 29139574 DOI: 10.1002/chir.22785] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/30/2017] [Revised: 10/02/2017] [Accepted: 10/05/2017] [Indexed: 11/09/2022]
Abstract
In our effort towards measuring the parity violation energy difference between two enantiomers, a simple chiral oxorhenium complex 5 bearing enantiopure 2-mercaptocyclohexan-1-ol has been prepared as a potential candidate species. Vibrational circular dichroism revealed a chiral environment surrounding the rhenium atom, even though the rhenium is not a stereogenic center itself, and enabled to assign the (1S,2S)-(-) and (1R,2R)-(+) absolute configuration for 5. For both compound 5 and complex 4, previously studied by us and bearing a propane-2-olato-3-thiolato ligand, relativistic calculations predict parity violating vibrational frequency differences of a few hundreds of millihertz, above the expected sensitivity attainable by a molecular beam Ramsey interferometer that we are constructing.
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Affiliation(s)
- Nidal Saleh
- Institut des Sciences Chimiques de Rennes UMR 6226, CNRS Université de Rennes 1, Campus de Beaulieu, Rennes Cedex, France
| | - Radovan Bast
- High Performance Computing Group, UiT The Arctic University of Norway, Tromsø, Norway
| | - Nicolas Vanthuyne
- Aix Marseille Université, Centrale Marseille, CNRS, iSm2 UMR 7313, Marseille, France
| | - Christian Roussel
- Aix Marseille Université, Centrale Marseille, CNRS, iSm2 UMR 7313, Marseille, France
| | - Trond Saue
- Laboratoire de Chimie et Physique Quantiques UMR 5626, CNRS et Université de Toulouse 3 (Paul Sabatier), Toulouse, France
| | - Benoît Darquié
- Laboratoire de Physique des Lasers, Université Paris 13, Sorbonne Paris Cité CNRS, Villetaneuse, France
| | - Jeanne Crassous
- Institut des Sciences Chimiques de Rennes UMR 6226, CNRS Université de Rennes 1, Campus de Beaulieu, Rennes Cedex, France
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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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Shee A, Visscher L, Saue T. Analytic one-electron properties at the 4-component relativistic coupled cluster level with inclusion of spin-orbit coupling. J Chem Phys 2016; 145:184107. [DOI: 10.1063/1.4966643] [Citation(s) in RCA: 42] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/14/2022] Open
Affiliation(s)
- Avijit Shee
- Laboratoire de Chimie et Physique Quantiques (UMR 5626), CNRS/Université Toulouse III - Paul Sabatier, 118 Route de Narbonne, F-31062 Toulouse Cedex, France
| | - Lucas Visscher
- Department of Theoretical Chemistry, Faculty of Sciences, Vrije Universiteit Amsterdam, De Boelelaan 1083, 1081 HV Amsterdam, The Netherlands
| | - Trond Saue
- Laboratoire de Chimie et Physique Quantiques (UMR 5626), CNRS/Université Toulouse III - Paul Sabatier, 118 Route de Narbonne, F-31062 Toulouse Cedex, France
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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] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/31/2022] Open
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16
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Affiliation(s)
- Nanna Holmgaard List
- Department of Physics, Chemistry and Biology, Linköping University, SE-581 83 Linköping, Sweden
| | - Trond Saue
- Laboratoire de Chimie et Physique Quantiques, UMR 5626 — CNRS/Université Toulouse III (Paul Sabatier), 31062 Toulouse Cedex 09, France
| | - Patrick Norman
- Department of Physics, Chemistry and Biology, Linköping University, SE-581 83 Linköping, Sweden
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List NH, Kauczor J, Saue T, Jensen HJA, Norman P. Beyond the electric-dipole approximation: A formulation and implementation of molecular response theory for the description of absorption of electromagnetic field radiation. J Chem Phys 2016; 142:244111. [PMID: 26133414 DOI: 10.1063/1.4922697] [Citation(s) in RCA: 43] [Impact Index Per Article: 5.4] [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
We present a formulation of molecular response theory for the description of a quantum mechanical molecular system in the presence of a weak, monochromatic, linearly polarized electromagnetic field without introducing truncated multipolar expansions. The presentation focuses on a description of linear absorption by adopting the energy-loss approach in combination with the complex polarization propagator formulation of response theory. Going beyond the electric-dipole approximation is essential whenever studying electric-dipole-forbidden transitions, and in general, non-dipolar effects become increasingly important when addressing spectroscopies involving higher-energy photons. These two aspects are examined by our study of the near K-edge X-ray absorption fine structure of the alkaline earth metals (Mg, Ca, Sr, Ba, and Ra) as well as the trans-polyenes. In following the series of alkaline earth metals, the sizes of non-dipolar effects are probed with respect to increasing photon energies and a detailed assessment of results is made in terms of studying the pertinent transition electron densities and in particular their spatial extension in comparison with the photon wavelength. Along the series of trans-polyenes, the sizes of non-dipolar effects are probed for X-ray spectroscopies on organic molecules with respect to the spatial extension of the chromophore.
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Affiliation(s)
- Nanna Holmgaard List
- Department of Physics, Chemistry and Pharmacy, University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark
| | - Joanna Kauczor
- Department of Physics, Chemistry and Biology, Linköping University, Linköping SE 58183, Sweden
| | - Trond Saue
- Laboratoire de Chimie et Physique Quantiques, UMR 5626-CNRS/Université Toulouse III (Paul Sabatier), 118 route de Narbonne, F-31062 Toulouse Cedex, France
| | - Hans Jørgen Aagaard Jensen
- Department of Physics, Chemistry and Pharmacy, University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark
| | - Patrick Norman
- Department of Physics, Chemistry and Biology, Linköping University, Linköping SE 58183, Sweden
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Fransson T, Saue T, Norman P. Four-Component Damped Density Functional Response Theory Study of UV/Vis Absorption Spectra and Phosphorescence Parameters of Group 12 Metal-Substituted Porphyrins. J Chem Theory Comput 2016; 12:2324-34. [DOI: 10.1021/acs.jctc.6b00030] [Citation(s) in RCA: 8] [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: 11/28/2022]
Affiliation(s)
- Thomas Fransson
- Department
of Physics, Chemistry and Biology, Linköping University, SE-581 83 Linköping, Sweden
| | - Trond Saue
- Laboratoire
de Chimie et Physique Quantiques, UMR 5626, CNRS — Université Toulouse III-Paul Sabatier, 118 route de Narbonne, F-31062 Toulouse, France
| | - Patrick Norman
- Department
of Physics, Chemistry and Biology, Linköping University, SE-581 83 Linköping, Sweden
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19
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South C, Shee A, Mukherjee D, Wilson AK, Saue T. 4-Component relativistic calculations of L3ionization and excitations for the isoelectronic species UO22+, OUN+and UN2. Phys Chem Chem Phys 2016; 18:21010-23. [DOI: 10.1039/c6cp00262e] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023]
Abstract
4-Component relativistic calculations explore uranium 2p3/2ionization and excitation in the isoelectronic series UO22+, OUN+and UN2.
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Affiliation(s)
- Christopher South
- Department of Chemistry and Center for Advanced Scientific Computation and Modeling (CASCaM)
- University of North Texas
- Denton
- USA
| | - Avijit Shee
- Laboratoire de Chimie et Physique Quantiques
- UMR 5626 CNRS – Université Toulouse III-Paul Sabatier
- F-31062 Toulouse
- France
| | - Debashis Mukherjee
- Raman Center for Atomic
- Molecular and Optical Sciences
- Indian Association for the Cultivation of Science
- Kolkata 700 032
- India
| | - Angela K. Wilson
- Department of Chemistry and Center for Advanced Scientific Computation and Modeling (CASCaM)
- University of North Texas
- Denton
- USA
- Department of Chemistry
| | - Trond Saue
- Laboratoire de Chimie et Physique Quantiques
- UMR 5626 CNRS – Université Toulouse III-Paul Sabatier
- F-31062 Toulouse
- France
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20
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Abstract
A theoretical study confirms that rovibrational spectroscopy can find bond length changes on the order of 1% of the nuclear radius.
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Affiliation(s)
- Adel Almoukhalalati
- Laboratoire de Chimie et Physique Quantiques
- UMR 5626 CNRS—Université Toulouse III-Paul Sabatier 118 route de Narbonne
- F-31062 Toulouse
- France
| | - Avijit Shee
- Laboratoire de Chimie et Physique Quantiques
- UMR 5626 CNRS—Université Toulouse III-Paul Sabatier 118 route de Narbonne
- F-31062 Toulouse
- 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
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21
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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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22
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Di Remigio R, Bast R, Frediani L, Saue T. Four-Component Relativistic Calculations in Solution with the Polarizable Continuum Model of Solvation: Theory, Implementation, and Application to the Group 16 Dihydrides H2X (X = O, S, Se, Te, Po). J Phys Chem A 2014; 119:5061-77. [DOI: 10.1021/jp507279y] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.6] [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)
- Roberto Di Remigio
- Department of Chemistry, Centre for Theoretical and Computational Chemistry, University of Tromsø
, N-9037 Tromsø, Norway
| | - Radovan Bast
- Department of Theoretical Chemistry and Biology, School of Biotechnology, Royal Institute of Technology, AlbaNova University Center
, S-10691 Stockholm, Sweden
- PDC Center for High Performance Computing, Royal Institute of Technology
, S-10044 Stockholm, Sweden
| | - Luca Frediani
- Department of Chemistry, Centre for Theoretical and Computational Chemistry, University of Tromsø
, N-9037 Tromsø, Norway
| | - Trond Saue
- Laboratoire de Chimie et Physique Quantiques (UMR 5626), CNRS/Université de Toulouse III (Paul Sabatier)
, 118 route de Narbonne, 31062 Toulouse, France
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23
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Hedegård ED, Knecht S, Ryde U, Kongsted J, Saue T. Theoretical 57Fe Mössbauer spectroscopy: isomer shifts of [Fe]-hydrogenase intermediates. Phys Chem Chem Phys 2014; 16:4853-63. [DOI: 10.1039/c3cp54393e] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.9] [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
A computational protocol for 57Fe isomer shifts, based on the relativistic eXact 2-Component Hamiltonian (X2C), is applied to discriminate between proposed intermediates of [Fe]-hydrogenase. Detailed analysis reveals that the difference in isomer shifts between two intermediates is due to an overlap effect.
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Affiliation(s)
- Erik Donovan Hedegård
- Department of Physics
- Chemistry and Pharmacy
- University of Southern Denmark
- Odense 5420 M, Denmark
| | - Stefan Knecht
- Department of Physics
- Chemistry and Pharmacy
- University of Southern Denmark
- Odense 5420 M, Denmark
| | - Ulf Ryde
- Department of Theoretical Chemistry
- Lund University
- Chemical Centre
- S-221 00 Lund, Sweden
| | - Jacob Kongsted
- Department of Physics
- Chemistry and Pharmacy
- University of Southern Denmark
- Odense 5420 M, Denmark
| | - 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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24
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Wormit M, Olejniczak M, Deppenmeier AL, Borschevsky A, Saue T, Schwerdtfeger P. Correction: Strong enhancement of parity violation effects in chiral uranium compounds. Phys Chem Chem Phys 2014. [DOI: 10.1039/c4cp90164a] [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: 11/21/2022]
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25
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Wormit M, Olejniczak M, Deppenmeier AL, Borschevsky A, Saue T, Schwerdtfeger P. Strong enhancement of parity violation effects in chiral uranium compounds. Phys Chem Chem Phys 2014; 16:17043-51. [DOI: 10.1039/c4cp01904k] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022]
Abstract
A new generation of molecular candidates for parity violation measurements. The chiral UNXYZ compounds are predicted to exhibit strong parity violating effects which are up to an order of magnitude larger than for any of the previously suggested candidates.
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Affiliation(s)
- Michael Wormit
- Interdisciplinary Center for Scientific Computing
- Heidelberg University
- D-69120 Heidelberg, Germany
| | - Małgorzata Olejniczak
- Laboratoire de Chimie et Physique Quantiques
- Université de Toulouse 3 (Paul Sabatier)
- 31062 Toulouse, France
| | | | - Anastasia Borschevsky
- Centre of Theoretical Chemistry and Physics
- Massey University
- Auckland, New Zealand
- Helmholtz Institute Mainz
- Mainz D-55128, Germany
| | - Trond Saue
- Laboratoire de Chimie et Physique Quantiques
- Université de Toulouse 3 (Paul Sabatier)
- 31062 Toulouse, France
| | - Peter Schwerdtfeger
- Centre of Theoretical Chemistry and Physics
- Massey University
- Auckland, New Zealand
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26
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Aidas K, Angeli C, Bak KL, Bakken V, Bast R, Boman L, Christiansen O, Cimiraglia R, Coriani S, Dahle P, Dalskov EK, Ekström U, Enevoldsen T, Eriksen JJ, Ettenhuber P, Fernández B, Ferrighi L, Fliegl H, Frediani L, Hald K, Halkier A, Hättig C, Heiberg H, Helgaker T, Hennum AC, Hettema H, Hjertenæs E, Høst S, Høyvik IM, Iozzi MF, Jansík B, Jensen HJA, Jonsson D, Jørgensen P, Kauczor J, Kirpekar S, Kjærgaard T, Klopper W, Knecht S, Kobayashi R, Koch H, Kongsted J, Krapp A, Kristensen K, Ligabue A, Lutnæs OB, Melo JI, Mikkelsen KV, Myhre RH, Neiss C, Nielsen CB, Norman P, Olsen J, Olsen JMH, Osted A, Packer MJ, Pawlowski F, Pedersen TB, Provasi PF, Reine S, Rinkevicius Z, Ruden TA, Ruud K, Rybkin VV, Sałek P, Samson CCM, de Merás AS, Saue T, Sauer SPA, Schimmelpfennig B, Sneskov K, Steindal AH, Sylvester-Hvid KO, Taylor PR, Teale AM, Tellgren EI, Tew DP, Thorvaldsen AJ, Thøgersen L, Vahtras O, Watson MA, Wilson DJD, Ziolkowski M, Agren H. The Dalton quantum chemistry program system. Wiley Interdiscip Rev Comput Mol Sci 2013; 4:269-284. [PMID: 25309629 PMCID: PMC4171759 DOI: 10.1002/wcms.1172] [Citation(s) in RCA: 833] [Impact Index Per Article: 75.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Abstract
Dalton is a powerful general-purpose program system for the study of molecular electronic structure at the Hartree-Fock, Kohn-Sham, multiconfigurational self-consistent-field, Møller-Plesset, configuration-interaction, and coupled-cluster levels of theory. Apart from the total energy, a wide variety of molecular properties may be calculated using these electronic-structure models. Molecular gradients and Hessians are available for geometry optimizations, molecular dynamics, and vibrational studies, whereas magnetic resonance and optical activity can be studied in a gauge-origin-invariant manner. Frequency-dependent molecular properties can be calculated using linear, quadratic, and cubic response theory. A large number of singlet and triplet perturbation operators are available for the study of one-, two-, and three-photon processes. Environmental effects may be included using various dielectric-medium and quantum-mechanics/molecular-mechanics models. Large molecules may be studied using linear-scaling and massively parallel algorithms. Dalton is distributed at no cost from http://www.daltonprogram.org for a number of UNIX platforms.
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Affiliation(s)
- Kestutis Aidas
- Department of General Physics and Spectroscopy, Faculty of Physics, Vilnius University Vilnius, Lithuania
| | | | - Keld L Bak
- Aarhus University School of Engineering Aarhus, Denmark
| | - Vebjørn Bakken
- Faculty of Mathematics and Natural Sciences, University of Oslo Oslo, Norway
| | - Radovan Bast
- Department of Theoretical Chemistry and Biology, School of Biotechnology, KTH Royal Institute of Technology Stockholm, Sweden
| | | | | | | | - Sonia Coriani
- Department of Chemical and Pharmaceutical Sciences, University of Trieste Trieste, Italy
| | - Pål Dahle
- Norwegian Computing Center Oslo, Norway
| | | | - Ulf Ekström
- CTCC, Department of Chemistry, University of Oslo Oslo, Norway
| | - Thomas Enevoldsen
- Department of Physics, Chemistry and Pharmacy, University of Southern Denmark Odense, Denmark
| | | | | | - Berta Fernández
- Department of Physical Chemistry and Center for Research in Biological Chemistry and Molecular Materials (CIQUS), University of Santiago de Compostela Santiago de Compostela, Spain
| | - Lara Ferrighi
- CTCC, Department of Chemistry, UiT The Arctic University of Norway, Tromsø Norway
| | - Heike Fliegl
- CTCC, Department of Chemistry, University of Oslo Oslo, Norway
| | - Luca Frediani
- CTCC, Department of Chemistry, UiT The Arctic University of Norway, Tromsø Norway
| | | | | | - Christof Hättig
- Department of Theoretical Chemistry, Ruhr-University Bochum Bochum, Germany
| | | | - Trygve Helgaker
- CTCC, Department of Chemistry, University of Oslo Oslo, Norway
| | | | - Hinne Hettema
- Department of Philosophy, The University of Auckland Auckland, New Zealand
| | - Eirik Hjertenæs
- Department of Chemistry, Norwegian University of Science and Technology Trondheim, Norway
| | - Stinne Høst
- Department of Geoscience, Aarhus University Aarhus, Denmark
| | | | | | | | - Hans Jørgen Aa Jensen
- Department of Physics, Chemistry and Pharmacy, University of Southern Denmark Odense, Denmark
| | - Dan Jonsson
- High-Performance Computing Group, UiT The Arctic University of Norway, Tromsø Norway
| | - Poul Jørgensen
- Department of Chemistry, Aarhus University Aarhus, Denmark
| | - Joanna Kauczor
- Department of Physics, Chemistry and Biology, Linköping University Linköping, Sweden
| | | | | | - Wim Klopper
- Institute of Physical Chemistry, Karlsruhe Institute of Technology Karlsruhe, Germany
| | - Stefan Knecht
- Laboratory of Physical Chemistry, ETH Zürich Zürich, Switzerland
| | - Rika Kobayashi
- Australian National University Supercomputer Facility Canberra, Australia
| | - Henrik Koch
- Department of Chemistry, Norwegian University of Science and Technology Trondheim, Norway
| | - Jacob Kongsted
- Department of Physics, Chemistry and Pharmacy, University of Southern Denmark Odense, Denmark
| | | | | | - Andrea Ligabue
- Computer Services: Networks and Systems, University of Modena and Reggio Emilia Modena, Italy
| | | | - Juan I Melo
- Physics Department, FCEyN-UBA and IFIBA-CONICET, Universidad de Buenos Aires Buenos Aires, Argentina
| | - Kurt V Mikkelsen
- Department of Chemistry, University of Copenhagen, Copenhagen Denmark
| | - Rolf H Myhre
- Department of Chemistry, Norwegian University of Science and Technology Trondheim, Norway
| | - Christian Neiss
- Department of Chemistry and Pharmacy, Friedrich-Alexander University Erlangen-Nürnberg Erlangen, Germany
| | | | - Patrick Norman
- Department of Physics, Chemistry and Biology, Linköping University Linköping, Sweden
| | - Jeppe Olsen
- Department of Chemistry, Aarhus University Aarhus, Denmark
| | - Jógvan Magnus H Olsen
- Department of Physics, Chemistry and Pharmacy, University of Southern Denmark Odense, Denmark
| | | | - Martin J Packer
- Department of Physics, Chemistry and Pharmacy, University of Southern Denmark Odense, Denmark
| | - Filip Pawlowski
- Institute of Physics, Kazimierz Wielki University Bydgoszcz, Poland
| | | | - Patricio F Provasi
- Department of Physics, University of Northeastern and IMIT-CONICET Corrientes, Argentina
| | - Simen Reine
- CTCC, Department of Chemistry, University of Oslo Oslo, Norway
| | - Zilvinas Rinkevicius
- Department of Theoretical Chemistry and Biology, School of Biotechnology and Swedish e-Science Research Center (SeRC), KTH Royal Institute of Technology Stockholm, Sweden
| | | | - Kenneth Ruud
- CTCC, Department of Chemistry, UiT The Arctic University of Norway, Tromsø Norway
| | - Vladimir V Rybkin
- Institute of Physical Chemistry, Karlsruhe Institute of Technology Karlsruhe, Germany
| | | | - Claire C M Samson
- Institute of Physical Chemistry, Karlsruhe Institute of Technology Karlsruhe, Germany
| | | | - Trond Saue
- Paul Sabatier University Toulouse, France
| | - Stephan P A Sauer
- Department of Chemistry, University of Copenhagen, Copenhagen Denmark
| | - Bernd Schimmelpfennig
- Institute for Nuclear Waste Disposal, Karlsruhe Institute of Technology Karlsruhe, Germany
| | | | - Arnfinn H Steindal
- CTCC, Department of Chemistry, UiT The Arctic University of Norway, Tromsø Norway
| | | | - Peter R Taylor
- VLSCI and School of Chemistry, University of Melbourne Parkville, Australia
| | - Andrew M Teale
- School of Chemistry, University of Nottingham Nottingham, UK
| | - Erik I Tellgren
- CTCC, Department of Chemistry, University of Oslo Oslo, Norway
| | - David P Tew
- School of Chemistry, University of Bristol Bristol, UK
| | | | | | - Olav Vahtras
- Department of Theoretical Chemistry and Biology, School of Biotechnology, KTH Royal Institute of Technology Stockholm, Sweden
| | - Mark A Watson
- Department of Chemistry, Princeton University Princeton, New Jersey
| | - David J D Wilson
- Department of Chemistry and La Trobe Institute for Molecular Sciences, La Trobe University Melbourne, Australia
| | - Marcin Ziolkowski
- CoE for Next Generation Computing, Clemson University Clemson, South Carolina
| | - Hans Agren
- Department of Theoretical Chemistry and Biology, School of Biotechnology, KTH Royal Institute of Technology Stockholm, Sweden
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27
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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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28
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Saleh N, Zrig S, Roisnel T, Guy L, Bast R, Saue T, Darquié B, Crassous J. A chiral rhenium complex with predicted high parity violation effects: synthesis, stereochemical characterization by VCD spectroscopy and quantum chemical calculations. Phys Chem Chem Phys 2013; 15:10952-9. [DOI: 10.1039/c3cp50199j] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022]
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Affiliation(s)
- David Sulzer
- a Laboratoire de Chimie Quantique , Institut de Chimie (UMR 7177), CNRS/Université de Strasbourg , 4 rue Blaise Pascal, 67000 Strasbourg , France
| | - Patrick Norman
- b Department of Physics, Chemistry and Biology , Linköping University , Linköping SE-581 83 , Sweden
| | - Trond Saue
- c Laboratoire de Chimie et Physique Quantique (UMR 5626) , CNRS/Université de Toulouse 3 (Paul Sabatier) , 118 route de Narbonne, 31062 Toulouse , France
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30
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Olejniczak M, Bast R, Saue T, Pecul M. Erratum: “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. 136, 014108 (2012)]. J Chem Phys 2012. [DOI: 10.1063/1.4725184] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [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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31
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Kullie O, Saue T. Range-separated density functional theory: A 4-component relativistic study of the rare gas dimers He2, Ne2, Ar2, Kr2, Xe2, Rn2 and Uuo2. Chem Phys 2012. [DOI: 10.1016/j.chemphys.2011.06.024] [Citation(s) in RCA: 32] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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32
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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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33
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Affiliation(s)
- Trond Saue
- Laboratoire de Chimie et Physique Quantique (UMR 5626), CNRS/Université de Toulouse 3 (Paul Sabatier), 118 route de Narbonne, 31062 Toulouse, France.
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34
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Rota JB, Knecht S, Fleig T, Ganyushin D, Saue T, Neese F, Bolvin H. Zero field splitting of the chalcogen diatomics using relativistic correlated wave-function methods. J Chem Phys 2011; 135:114106. [DOI: 10.1063/1.3636084] [Citation(s) in RCA: 27] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022] Open
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35
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Darquié B, Stoeffler C, Shelkovnikov A, Daussy C, Amy-Klein A, Chardonnet C, Zrig S, Guy L, Crassous J, Soulard P, Asselin P, Huet TR, Schwerdtfeger P, Bast R, Saue T. Progress toward the first observation of parity violation in chiral molecules by high-resolution laser spectroscopy. Chirality 2011; 22:870-84. [PMID: 20839292 DOI: 10.1002/chir.20911] [Citation(s) in RCA: 117] [Impact Index Per Article: 9.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Abstract
Parity violation (PV) effects in chiral molecules have so far never been experimentally observed. To take up this challenge, a consortium of physicists, chemists, theoreticians, and spectroscopists has been established and aims at measuring PV energy differences between two enantiomers by using high-resolution laser spectroscopy. In this article, we present our common strategy to reach this goal, the progress accomplished in the diverse areas, and point out directions for future PV observations. The work of André Collet on bromochlorofluoromethane (1) enantiomers, their synthesis, and their chiral recognition by cryptophanes made feasible the first generation of experiments presented in this article.
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Affiliation(s)
- Benoît Darquié
- Laboratoire de Physique des Lasers, UMR7538 Université Paris 13-CNRS, F-93430 Villetaneuse, France.
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36
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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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Abstract
In order to guide the experimental search for parity violation in molecular systems, in part motivated by the possible link to biomolecular homochirality, we present a detailed analysis in a relativistic framework of the mechanism behind the tiny energy difference between enantiomers induced by the weak force. A decomposition of the molecular expectation value into atomic contributions reveals that the effect can be thought of as arising from a specific mixing of valence s(1/2) and p(1/2) orbitals on a single center induced by a chiral molecular field. The intra-atomic nature of the effect is further illustrated by visualization of the electron chirality density and suggests that a simple model for parity violation in molecules may be constructed by combining pre-calculated atomic quantities with simple bonding models. A 2-component relativistic computational procedure is proposed which bridges the relativistic and non-relativistic approaches to the calculation of parity violation in chiral molecules and allows us to explore the single-center theorem in a variational setting.
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Affiliation(s)
- Radovan Bast
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, University of Tromsø, N-9037 Tromsø, Norway.
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38
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Gomes ASP, Visscher L, Bolvin H, Saue T, Knecht S, Fleig T, Eliav E. The electronic structure of the triiodide ion from relativistic correlated calculations: A comparison of different methodologies. J Chem Phys 2010; 133:064305. [DOI: 10.1063/1.3474571] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.8] [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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39
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Villaume S, Saue T, Norman P. Linear complex polarization propagator in a four-component Kohn–Sham framework. J Chem Phys 2010; 133:064105. [DOI: 10.1063/1.3461163] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/04/2023] Open
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40
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Figgen D, Saue T, Schwerdtfeger P. Relativistic four- and two-component calculations of parity violation effects in chiral tungsten molecules of the form NWXYZ (X, Y, Z=H, F, Cl, Br, or I). J Chem Phys 2010; 132:234310. [DOI: 10.1063/1.3439692] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022] Open
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41
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De Montigny F, Bast R, Gomes ASP, Pilet G, Vanthuyne N, Roussel C, Guy L, Schwerdtfeger P, Saue T, Crassous J. Chiral oxorhenium(V) complexes as candidates for the experimental observation of molecular parity violation: a structural, synthetic and theoretical study. Phys Chem Chem Phys 2010; 12:8792-803. [PMID: 20532288 DOI: 10.1039/b925050f] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/18/2023]
Abstract
We report the synthesis and resolution of a series of new chiral "3 + 1" oxorhenium(V) complexes, designed for high-resolution laser spectroscopy experiments probing molecular parity-violation (PV) effects in the Re=O stretching mode frequency. These complexes display a particularly simple chemical structure, with the rhenium atom as the stereogenic center, and show large PV energy differences according to our calculations. They were obtained in the racemic and enantioenriched forms, in the latter case by using either semi-preparative chiral HPLC resolution or enantioselective synthesis. The vibrational transition frequency differences between the enantiomeric pairs due to PV have been calculated with two- and four-component relativistic Hamiltonians using Hartree-Fock (HF) and density functional theory (DFT). For three complexes, including one synthesized in enantioenriched form, our HF calculations predict frequency differences above the present resolution limit of 1 Hz. These results confirm the order of magnitude for the calculated HF PV vibrational frequency differences reported earlier for this class of compounds [P. Schwerdtfeger and R. Bast, J. Am. Chem. Soc., 2004, 126, 1652]. However, at the DFT level the PV vibrational frequency differences are in some cases reduced by an order of magnitude, but are still within the sensitivity of 0.01 Hz, which is the anticipated sensitivity in a new proposed experiment. We therefore believe that the present study represents an important step towards the experimental observation of PV in molecular systems, and emphasizes the extreme sensitivity of the PV vibrational frequency difference to the chemical environment around the rhenium center.
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Affiliation(s)
- Frederic De Montigny
- Ecole Nationale Supérieure de Chimie Paris UMR 7223, CNRS-ENSCP Paris Cedex 05, France
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Sikkema J, Visscher L, Saue T, Iliaš M. The molecular mean-field approach for correlated relativistic calculations. J Chem Phys 2009; 131:124116. [DOI: 10.1063/1.3239505] [Citation(s) in RCA: 160] [Impact Index Per Article: 10.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Iliaš M, Saue T, Enevoldsen T, Jensen HJA. Gauge origin independent calculations of nuclear magnetic shieldings in relativistic four-component theory. J Chem Phys 2009; 131:124119. [DOI: 10.1063/1.3240198] [Citation(s) in RCA: 52] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/28/2023] Open
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Bast R, Jusélius J, Saue T. 4-Component relativistic calculation of the magnetically induced current density in the group 15 heteroaromatic compounds. Chem Phys 2009. [DOI: 10.1016/j.chemphys.2008.10.040] [Citation(s) in RCA: 39] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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Bast R, Saue T, Henriksson J, Norman P. Role of noncollinear magnetization for the first-order electric-dipole hyperpolarizability at the four-component Kohn–Sham density functional theory level. J Chem Phys 2009; 130:024109. [DOI: 10.1063/1.3054302] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.9] [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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Yamamoto S, Tatewaki H, Saue T. Dipole allowed transitions in GdF: A four-component relativistic general open-shell configuration interaction study. J Chem Phys 2008; 129:244505. [DOI: 10.1063/1.3039794] [Citation(s) in RCA: 9] [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: 11/14/2022] Open
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Bast R, Heßelmann A, Sałek P, Helgaker T, Saue T. Static and Frequency-Dependent Dipole–Dipole Polarizabilities of All Closed-Shell Atoms up to Radium: A Four-Component Relativistic DFT Study. Chemphyschem 2008; 9:445-53. [DOI: 10.1002/cphc.200700504] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
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Henriksson J, Saue T, Norman P. Quadratic response functions in the relativistic four-component Kohn-Sham approximation. J Chem Phys 2008; 128:024105. [DOI: 10.1063/1.2816709] [Citation(s) in RCA: 61] [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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Weijo V, Bast R, Manninen P, Saue T, Vaara J. Methodological aspects in the calculation of parity-violating effects in nuclear magnetic resonance parameters. J Chem Phys 2007; 126:074107. [PMID: 17328593 DOI: 10.1063/1.2436886] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023] Open
Abstract
We examine the quantum chemical calculation of parity-violating (PV) electroweak contributions to the spectral parameters of nuclear magnetic resonance (NMR) from a methodological point of view. Nuclear magnetic shielding and indirect spin-spin coupling constants are considered and evaluated for three chiral molecules, H2O2, H2S2, and H2Se2. The effects of the choice of a one-particle basis set and the treatment of electron correlation, as well as the effects of special relativity, are studied. All of them are found to be relevant. The basis-set dependence is very pronounced, especially at the electron correlated ab initio levels of theory. Coupled-cluster and density-functional theory (DFT) results for PV contributions differ significantly from the Hartree-Fock data. DFT overestimates the PV effects, particularly with nonhybrid exchange-correlation functionals. Beginning from third-row elements, special relativity is of importance for the PV NMR properties, shown here by comparing perturbational one-component and various four-component calculations. In contrast to what is found for nuclear magnetic shielding, the choice of the model for nuclear charge distribution--point charge or extended (Gaussian)--has a significant impact on the PV contribution to the spin-spin coupling constants.
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Affiliation(s)
- Ville Weijo
- Laboratory of Physical Chemistry, Department of Chemistry, P.O. Box 55 (A.I. Virtasen aukio 1), University of Helsinki, FI-00014, Helsinki, Finland
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Abstract
The authors report the implementation of a simple one-step method for obtaining an infinite-order two-component (IOTC) relativistic Hamiltonian using matrix algebra. They apply the IOTC Hamiltonian to calculations of excitation and ionization energies as well as electric and magnetic properties of the radon atom. The results are compared to corresponding calculations using identical basis sets and based on the four-component Dirac-Coulomb Hamiltonian as well as Douglas-Kroll-Hess and zeroth-order regular approximation Hamiltonians, all implemented in the DIRAC program package, thus allowing a comprehensive comparison of relativistic Hamiltonians within the finite basis approximation.
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Affiliation(s)
- Miroslav Ilias
- Laboratoire de Chimie Quantique, Institut de Chimie de Strasbourg, LC3-UMR7177 CNRS/Université Louis Pasteur, 4 Rue Blaise Pascal, F-67000 Strasbourg, France.
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