1
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Aucar IA, Colombo Jofré MT, Aucar GA. A relativistic relationship between parity-violating nuclear spin-rotation tensors and parity-violating NMR shielding tensors. J Chem Phys 2023; 158:094306. [PMID: 36889958 DOI: 10.1063/5.0141176] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/11/2023] Open
Abstract
The nuclear-spin-dependent parity-violation contributions to the nuclear magnetic resonance shielding and nuclear spin-rotation tensors (σPV and MPV, respectively) are known to be formally related to one another in the non-relativistic regime. In this work, the polarization propagator formalism and the linear response within the elimination of small components model are used to show a new and more general relationship between them, which is valid within the relativistic framework. The full set of the zeroth- and first-order relativistic contributions to σPV and MPV are also given here for the first time, and these results are compared with previous findings. According to four-component relativistic calculations, the electronic spin-orbit effects are the most significant ones for the isotropic values of σPV and MPV in the H2X2 series of molecules (with X = O, S, Se, Te, and Po). When only scalar relativistic effects are taken into account, the non-relativistic relationship between σPV and MPV does hold. However, when the spin-orbit effects are taken into consideration, this old non-relativistic relationship breaks down, and therefore, the new one must be considered.
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Affiliation(s)
- I Agustín Aucar
- Instituto de Modelado e Innovación Tecnológica, CONICET, and Departamento de Física, Facultad de Ciencias Exactas y Naturales, UNNE, Avenida Libertad 5460, W3404AAS Corrientes, Argentina
| | - Mariano T Colombo Jofré
- Instituto de Modelado e Innovación Tecnológica, CONICET, and Departamento de Física, Facultad de Ciencias Exactas y Naturales, UNNE, Avenida Libertad 5460, W3404AAS Corrientes, Argentina
| | - Gustavo A Aucar
- Instituto de Modelado e Innovación Tecnológica, CONICET, and Departamento de Física, Facultad de Ciencias Exactas y Naturales, UNNE, Avenida Libertad 5460, W3404AAS Corrientes, Argentina
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2
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Fiechter M, Haase PAB, Saleh N, Soulard P, Tremblay B, Havenith RWA, Timmermans RGE, Schwerdtfeger P, Crassous J, Darquié B, Pašteka LF, Borschevsky A. Toward Detection of the Molecular Parity Violation in Chiral Ru(acac) 3 and Os(acac) 3. J Phys Chem Lett 2022; 13:10011-10017. [PMID: 36264147 PMCID: PMC9620138 DOI: 10.1021/acs.jpclett.2c02434] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/05/2022] [Accepted: 10/11/2022] [Indexed: 06/03/2023]
Abstract
We present a theory-experiment investigation of the helically chiral compounds Ru(acac)3 and Os(acac)3 as candidates for next-generation experiments for detection of molecular parity violation (PV) in vibrational spectra. We used relativistic density functional theory calculations to identify optimal vibrational modes with expected PV effects exceeding by up to 2 orders of magnitude the projected instrumental sensitivity of the ultrahigh resolution experiment under construction at the Laboratoire de Physique des Lasers in Paris. Preliminary measurements of the vibrational spectrum of Ru(acac)3 carried out as the first steps toward the planned experiment are presented.
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Affiliation(s)
- Marit
R. Fiechter
- Van
Swinderen Institute for Particle Physics and Gravity (VSI), University of Groningen, Nijenborgh 4, 9747
AG Groningen, The Netherlands
- Department
of Physics, ETH Zürich, Otto-Stern-Weg 1, 8093 Zurich, Switzerland
| | - Pi A. B. Haase
- Van
Swinderen Institute for Particle Physics and Gravity (VSI), University of Groningen, Nijenborgh 4, 9747
AG Groningen, The Netherlands
| | - Nidal Saleh
- Department
of Organic Chemistry, University of Geneva, Quai Ernest Ansermet 30, 1211 Geneva 4, Switzerland
- Université
de Rennes, CNRS, ISCR-UMR
6226, Campus de Beaulieu, 35042 Rennes Cedex, France
| | - Pascale Soulard
- Sorbonne
Université, CNRS, UMR 8233,
MONARIS, Case courrier
49, 4 place Jussieu, F-75005 Paris, France
| | - Benoît Tremblay
- Sorbonne
Université, CNRS, UMR 8233,
MONARIS, Case courrier
49, 4 place Jussieu, F-75005 Paris, France
| | - Remco W. A. Havenith
- Zernike
Institute for Advanced Materials, University
of Groningen, Nijenborgh
4, 9747 AG Groningen, The Netherlands
- Stratingh
Institute for Chemistry, University of Groningen, Nijenborgh 4, 9747 AG Groningen, The Netherlands
- Ghent
Quantum
Chemistry Group, Department of Chemistry, Ghent University, Krijgslaan
281 (S3), B-9000 Ghent, Belgium
| | - Rob G. E. Timmermans
- Van
Swinderen Institute for Particle Physics and Gravity (VSI), University of Groningen, Nijenborgh 4, 9747
AG Groningen, The Netherlands
| | - Peter Schwerdtfeger
- Centre
for Theoretical Chemistry and Physics, The New Zealand Institute for
Advanced Study, Massey University, 0745 Auckland, New Zealand
| | - Jeanne Crassous
- Université
de Rennes, CNRS, ISCR-UMR
6226, Campus de Beaulieu, 35042 Rennes Cedex, France
| | - Benoît Darquié
- Laboratoire de Physique des Lasers, Université
Sorbonne Paris Nord, CNRS, 93430 Villetaneuse, France
| | - Lukáš F. Pašteka
- Van
Swinderen Institute for Particle Physics and Gravity (VSI), University of Groningen, Nijenborgh 4, 9747
AG Groningen, The Netherlands
- Department of Physical and Theoretical
Chemistry, Faculty of Natural
Sciences, Comenius University, Ilkovičova 6, 84215 Bratislava, Slovakia
| | - Anastasia Borschevsky
- Van
Swinderen Institute for Particle Physics and Gravity (VSI), University of Groningen, Nijenborgh 4, 9747
AG Groningen, The Netherlands
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3
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Aucar IA, Borschevsky A. Relativistic study of parity-violating nuclear spin-rotation tensors. J Chem Phys 2021; 155:134307. [PMID: 34624973 DOI: 10.1063/5.0065487] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We present a four-component relativistic approach to describe the effects of the nuclear spin-dependent parity-violating (PV) weak nuclear forces on nuclear spin-rotation (NSR) tensors. The formalism is derived within the four-component polarization propagator theory based on the Dirac-Coulomb Hamiltonian. Such calculations are important for planning and interpretation of possible future experiments aimed at stringent tests of the standard model through the observation of PV effects in NSR spectroscopy. An exploratory application of this theory to the chiral molecules H2X2 (X = 17O, 33S, 77Se, 125Te, and 209Po) illustrates the dramatic effect of relativity on these contributions. In particular, spin-free and spin-orbit effects are even of opposite signs for some dihedral angles, and the latter fully dominate for the heavier nuclei. Relativistic four-component calculations of isotropic nuclear spin-rotation constants, including parity-violating electroweak interactions, give frequency differences of up to 4.2 mHz between the H2Po2 enantiomers; on the nonrelativistic level of theory, this energy difference is 0.1 mHz only.
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Affiliation(s)
- Ignacio Agustín Aucar
- Instituto de Modelado e Innovación Tecnológica (UNNE-CONICET), Facultad de Ciencias Exactas y Naturales y Agrimensura, Universidad Nacional del Nordeste, Avda. Libertad, 5460 Corrientes, Argentina
| | - Anastasia Borschevsky
- Faculty of Science and Engineering, Van Swinderen Institute for Particle Physics and Gravity, University of Groningen, 9747 AG Groningen, The Netherlands
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4
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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] [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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5
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Abstract
In this brief review, possible mechanisms which could lead to complete biological homochirality are discussed from the viewpoint of fundamental physics. In particular, the role played by electroweak parity violation, including neutrino-induced homochirality, and contributions from the gravitational interaction, will be emphasized.
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6
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Affiliation(s)
- Robert Berger
- Fachbereich Chemie Philipps‐Universität Marburg Marburg Germany
| | - Jürgen Stohner
- Institute of Chemistry and Biotechnology (ICBT) Zürich University of Applied Sciences (ZHAW) Wädenswil Switzerland
- Guest scientist, Laboratory for Physical Chemistry ETH Zürich Zürich Switzerland
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7
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Abstract
The discovery of meteoritic alpha-amino acids with significant enantiomeric excesses of the L-form has suggested that some cosmic factors could serve as the initial source for chiral imbalance of organic compounds delivered to the early Earth. The paper reviews major hypothesis considering the influence of chiral irradiation and chiral combinations of physical fields on the possible ways asymmetric synthesis and transformations of organics could take place within the solar system. They could result in a small enantiomeric imbalance of some groups of compounds. More attention is paid to the hypothesis on parity violation of weak interaction that was supposed to cause homochirality of all primary particles and a more significant homochirality of compounds directly synthesized from the latter in a plasma reactor. The first experiment with material synthesized in a plasma torch resulting from a super-high-velocity impact showed formation of alanine with the excess of L-form between 7 and 25%. The supposed conclusion is that L-amino acids could serve as a starting homochiral biomolecular pool for life to emerge all over the Universe.
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8
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Mirzaeva IV, Kozlova SG. Parity violating energy difference for mirror conformers of DABCO linker between two M 2+ cations (M = Zn, Cd, and Hg). J Chem Phys 2018; 149:214302. [PMID: 30525709 DOI: 10.1063/1.5063499] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We have studied the potential energy surface of [ M 2 D A B C O ] 4 + cations (M = Zn, Cd, and Hg), which are considered as a model for the DABCO linker in metal-organic frameworks, a new prospective class of materials. Relativistic four-component and two-component calculations of parity violating energy difference (PVED) for twisted isomers of [ M 2 D A B C O ] 4 + cations have been performed. The right-twisted conformers of [ M 2 D A B C O ] 4 + are more stable than the left-twisted ones. The increase in PVED with the nuclear charge of the transition metal atom M (Z M ) is discussed.
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Affiliation(s)
- Irina V Mirzaeva
- Nikolaev Institute of Inorganic Chemistry, Siberian Branch of Russian Academy of Sciences, Lavrentyev Ave., 3, RU-630090 Novosibirsk, Russian Federation
| | - Svetlana G Kozlova
- Nikolaev Institute of Inorganic Chemistry, Siberian Branch of Russian Academy of Sciences, Lavrentyev Ave., 3, RU-630090 Novosibirsk, Russian Federation
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9
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Mirzaeva IV, Kozlova SG. Computational estimation of parity violation effects in a metal-organic framework containing DABCO. Chem Phys Lett 2017. [DOI: 10.1016/j.cplett.2017.09.015] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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10
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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] [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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11
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Dietiker P, Miloglyadov E, Quack M, Schneider A, Seyfang G. Infrared laser induced population transfer and parity selection in 14NH3: A proof of principle experiment towards detecting parity violation in chiral molecules. J Chem Phys 2015; 143:244305. [DOI: 10.1063/1.4936912] [Citation(s) in RCA: 30] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- P. Dietiker
- Physical Chemistry, ETH Zürich, CH-8093 Zürich, Switzerland
| | - E. Miloglyadov
- Physical Chemistry, ETH Zürich, CH-8093 Zürich, Switzerland
| | - M. Quack
- Physical Chemistry, ETH Zürich, CH-8093 Zürich, Switzerland
| | - A. Schneider
- Physical Chemistry, ETH Zürich, CH-8093 Zürich, Switzerland
| | - G. Seyfang
- Physical Chemistry, ETH Zürich, CH-8093 Zürich, Switzerland
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12
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Fábri C, Horný Ľ, Quack M. Tunneling and Parity Violation in Trisulfane (HSSSH): An Almost Ideal Molecule for Detecting Parity Violation in Chiral Molecules. Chemphyschem 2015; 16:3584-9. [DOI: 10.1002/cphc.201500801] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/17/2015] [Revised: 09/11/2015] [Indexed: 11/12/2022]
Affiliation(s)
- Csaba Fábri
- Physical Chemistry; ETH Zürich, CH; 8093 Zürich Switzerland
| | - Ľuboš Horný
- Physical Chemistry; ETH Zürich, CH; 8093 Zürich Switzerland
| | - Martin Quack
- Physical Chemistry; ETH Zürich, CH; 8093 Zürich Switzerland
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13
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Horný Ľ, Quack M. Computation of molecular parity violation using the coupled-cluster linear response approach. Mol Phys 2015. [DOI: 10.1080/00268976.2015.1012131] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- Ľuboš Horný
- Laboratory of Physical Chemistry, ETH Zürich, CH-8093 Zürich, Switzerland
| | - Martin Quack
- Laboratory of Physical Chemistry, ETH Zürich, CH-8093 Zürich, Switzerland
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14
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Bargueño P. Chirality and Gravitational Parity Violation. Chirality 2015; 27:375-81. [DOI: 10.1002/chir.22439] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/27/2014] [Revised: 02/16/2015] [Accepted: 02/18/2015] [Indexed: 11/07/2022]
Affiliation(s)
- Pedro Bargueño
- Departamento de Física; Universidad de los Andes; Apartado Aéreo Bogotá Distrito Capital Colombia
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15
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Quack M. On Biomolecular Homochirality as a Quasi-Fossil of the Evolution of Life. ADVANCES IN CHEMICAL PHYSICS 2014. [DOI: 10.1002/9781118959602.ch18] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
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16
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Nahrwold S, Berger R, Schwerdtfeger P. Parity violation in nuclear magnetic resonance frequencies of chiral tetrahedral tungsten complexes NWXYZ (X, Y, Z = H, F, Cl, Br or I). J Chem Phys 2014; 140:024305. [DOI: 10.1063/1.4852176] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022] Open
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17
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Ruiz MB. Accurate CI and Hylleraas-CI wave functions for the atomic effects in the whole-atom-nuclear β−-decay of the Li atom. Mol Phys 2013. [DOI: 10.1080/00268976.2013.838314] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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18
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Pitzer M, Kunitski M, Johnson AS, Jahnke T, Sann H, Sturm F, Schmidt LPH, Schmidt-Böcking H, Dörner R, Stohner J, Kiedrowski J, Reggelin M, Marquardt S, Schießer A, Berger R, Schöffler MS. Direct Determination of Absolute Molecular Stereochemistry in Gas Phase by Coulomb Explosion Imaging. Science 2013; 341:1096-100. [DOI: 10.1126/science.1240362] [Citation(s) in RCA: 198] [Impact Index Per Article: 18.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
Affiliation(s)
- Martin Pitzer
- Institute for Nuclear Physics, Johann Wolfgang Goethe-Universität Frankfurt, Max-von-Laue-Straße 1, 60438 Frankfurt, Germany
| | - Maksim Kunitski
- Institute for Nuclear Physics, Johann Wolfgang Goethe-Universität Frankfurt, Max-von-Laue-Straße 1, 60438 Frankfurt, Germany
| | - Allan S. Johnson
- Institute for Nuclear Physics, Johann Wolfgang Goethe-Universität Frankfurt, Max-von-Laue-Straße 1, 60438 Frankfurt, Germany
- University of Ottawa, Ottawa, ON K1N 6N5, Canada
| | - Till Jahnke
- Institute for Nuclear Physics, Johann Wolfgang Goethe-Universität Frankfurt, Max-von-Laue-Straße 1, 60438 Frankfurt, Germany
| | - Hendrik Sann
- Institute for Nuclear Physics, Johann Wolfgang Goethe-Universität Frankfurt, Max-von-Laue-Straße 1, 60438 Frankfurt, Germany
| | - Felix Sturm
- Institute for Nuclear Physics, Johann Wolfgang Goethe-Universität Frankfurt, Max-von-Laue-Straße 1, 60438 Frankfurt, Germany
| | - Lothar Ph. H. Schmidt
- Institute for Nuclear Physics, Johann Wolfgang Goethe-Universität Frankfurt, Max-von-Laue-Straße 1, 60438 Frankfurt, Germany
| | - Horst Schmidt-Böcking
- Institute for Nuclear Physics, Johann Wolfgang Goethe-Universität Frankfurt, Max-von-Laue-Straße 1, 60438 Frankfurt, Germany
| | - Reinhard Dörner
- Institute for Nuclear Physics, Johann Wolfgang Goethe-Universität Frankfurt, Max-von-Laue-Straße 1, 60438 Frankfurt, Germany
| | - Jürgen Stohner
- Institute of Chemistry and Biological Chemistry, Zurich University of Applied Sciences, Campus Reidbach, Einsiedlerstrasse 31, 8820 Wädenswil, Switzerland
| | - Julia Kiedrowski
- Clemens-Schöpf Institute, Technische Universität Darmstadt, Petersenstraße 22, 64287 Darmstadt, Germany
| | - Michael Reggelin
- Clemens-Schöpf Institute, Technische Universität Darmstadt, Petersenstraße 22, 64287 Darmstadt, Germany
| | - Sebastian Marquardt
- Clemens-Schöpf Institute, Technische Universität Darmstadt, Petersenstraße 22, 64287 Darmstadt, Germany
| | - Alexander Schießer
- Clemens-Schöpf Institute, Technische Universität Darmstadt, Petersenstraße 22, 64287 Darmstadt, Germany
| | - Robert Berger
- Clemens-Schöpf Institute, Technische Universität Darmstadt, Petersenstraße 22, 64287 Darmstadt, Germany
| | - Markus S. Schöffler
- Institute for Nuclear Physics, Johann Wolfgang Goethe-Universität Frankfurt, Max-von-Laue-Straße 1, 60438 Frankfurt, Germany
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19
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Tokunaga SK, Stoeffler C, Auguste F, Shelkovnikov A, Daussy C, Amy-Klein A, Chardonnet C, Darquié B. Probing weak force-induced parity violation by high-resolution mid-infrared molecular spectroscopy. Mol Phys 2013. [DOI: 10.1080/00268976.2013.821186] [Citation(s) in RCA: 46] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Affiliation(s)
- S. K. Tokunaga
- Université Paris 13, Sorbonne Paris Cité, Laboratoire de Physique des Lasers , Villetaneuse, France
- CNRS, UMR 7538, LPL , Villetaneuse, France
| | - C. Stoeffler
- Université Paris 13, Sorbonne Paris Cité, Laboratoire de Physique des Lasers , Villetaneuse, France
- CNRS, UMR 7538, LPL , Villetaneuse, France
| | - F. Auguste
- Université Paris 13, Sorbonne Paris Cité, Laboratoire de Physique des Lasers , Villetaneuse, France
- CNRS, UMR 7538, LPL , Villetaneuse, France
| | - A. Shelkovnikov
- Université Paris 13, Sorbonne Paris Cité, Laboratoire de Physique des Lasers , Villetaneuse, France
- CNRS, UMR 7538, LPL , Villetaneuse, France
| | - C. Daussy
- Université Paris 13, Sorbonne Paris Cité, Laboratoire de Physique des Lasers , Villetaneuse, France
- CNRS, UMR 7538, LPL , Villetaneuse, France
| | - A. Amy-Klein
- Université Paris 13, Sorbonne Paris Cité, Laboratoire de Physique des Lasers , Villetaneuse, France
- CNRS, UMR 7538, LPL , Villetaneuse, France
| | - C. Chardonnet
- Université Paris 13, Sorbonne Paris Cité, Laboratoire de Physique des Lasers , Villetaneuse, France
- CNRS, UMR 7538, LPL , Villetaneuse, France
| | - B. Darquié
- Université Paris 13, Sorbonne Paris Cité, Laboratoire de Physique des Lasers , Villetaneuse, France
- CNRS, UMR 7538, LPL , Villetaneuse, France
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20
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Dorta-Urra A, Peñate-Rodríguez HC, Bargueño P, Rojas-Lorenzo G, Miret-Artés S. Dissipative geometric phase and decoherence in parity-violating chiral molecules. J Chem Phys 2012; 136:174505. [PMID: 22583247 DOI: 10.1063/1.4707735] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
Within a generalized Langevin framework for open quantum systems, the cyclic evolution of a two-level system is analyzed in terms of the geometric phase extended to dissipative systems for Ohmic friction. This proposal is applied to the dynamics of chiral molecules where the tunneling and parity violating effects are competing. The effect of different system-bath coupling functions in the dissipated energy is shown to be crucial to understand the behavior of the geometric phase as well as the decoherence displayed by the corresponding interference patterns.
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Affiliation(s)
- A Dorta-Urra
- Unidad asociada UAM-CSIC, Instituto de Física Fundamental (CSIC), Serrano 123, E-28006 Madrid, Spain
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21
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Molecular Parity Violation and Chirality: The Asymmetry of Life and the Symmetry Violations in Physics. QUANTUM SYSTEMS IN CHEMISTRY AND PHYSICS 2012. [DOI: 10.1007/978-94-007-5297-9_3] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/24/2023]
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22
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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: 85] [Impact Index Per Article: 6.5] [Reference Citation Analysis] [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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23
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Dryzun C, Avnir D. Chirality Measures for Vectors, Matrices, Operators and Functions. Chemphyschem 2010; 12:197-205. [DOI: 10.1002/cphc.201000715] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/02/2010] [Revised: 10/28/2010] [Indexed: 11/12/2022]
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24
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Bast R, Koers A, Gomes ASP, Iliaš M, Visscher L, Schwerdtfeger P, Saue T. Analysis of parity violation in chiral molecules. Phys Chem Chem Phys 2010; 13:864-76. [PMID: 21140024 DOI: 10.1039/c0cp01483d] [Citation(s) in RCA: 33] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
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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An Introduction to Relativistic Quantum Chemistry. CHALLENGES AND ADVANCES IN COMPUTATIONAL CHEMISTRY AND PHYSICS 2010. [DOI: 10.1007/978-1-4020-9975-5_1] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/25/2022]
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Nahrwold S, Berger R. Zeroth order regular approximation approach to parity violating nuclear magnetic resonance shielding tensors. J Chem Phys 2009; 130:214101. [DOI: 10.1063/1.3103643] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/08/2023] Open
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Berger R. Breit interaction contribution to parity violating potentials in chiral molecules containing light nuclei. J Chem Phys 2008; 129:154105. [DOI: 10.1063/1.2958280] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Quack M, Stohner J, Willeke M. High-Resolution Spectroscopic Studies and Theory of Parity Violation in Chiral Molecules. Annu Rev Phys Chem 2008; 59:741-69. [DOI: 10.1146/annurev.physchem.58.032806.104511] [Citation(s) in RCA: 198] [Impact Index Per Article: 12.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Abstract
We review the high-resolution spectroscopic approach toward the study of intramolecular dynamics, emphasizing molecular parity violation. Theoretical work in the past decade has shown that parity-violating potentials in chiral molecules are much larger (typically one to two orders of magnitude) than anticipated on the basis of older theories. This makes experimental approaches toward small molecular parity-violating effects promising. The concepts and results of intramolecular dynamics derived from spectroscopy are analyzed as a sequence of symmetry breakings. We summarize the concepts of symmetry breakings (de facto and de lege) in view of parity violation in chiral molecules. The experimental schemes and the current status of spectroscopic experiments on molecular parity violation are established. We discuss the promises of detecting and accurately measuring parity-violating energy differences Δpv E on the order of 10−11 J mol−1 (approximately 100 aeV) in enantiomers of chiral molecules with regard to their contribution to fundamental physics in the framework of the standard model of particle physics and more speculative future fundamental symmetry tests such as for the combined charge conjugation, parity, and time-reversal (CPT) symmetry violation.
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Affiliation(s)
- Martin Quack
- ETH Zürich Laboratorium für Physikalische Chemie, CH-8093 Zürich, Switzerland
| | - Jürgen Stohner
- Permanent address: Institute of Chemistry and Biology, Zürich University of Applied Sciences, CH-8400 Winterthur, Switzerland
| | - Martin Willeke
- Permanent address: Departement für Materialwissenschaften, ETH Zürich, 8093 Zürich, Switzerland
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Jankowiak HC, Stuber JL, Berger R. Vibronic transitions in large molecular systems: Rigorous prescreening conditions for Franck-Condon factors. J Chem Phys 2007; 127:234101. [DOI: 10.1063/1.2805398] [Citation(s) in RCA: 142] [Impact Index Per Article: 8.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Berger R, Laubender G, Quack M, Sieben A, Stohner J, Willeke M. Isotopic chirality and molecular parity violation. Angew Chem Int Ed Engl 2006; 44:3623-6. [PMID: 15880539 DOI: 10.1002/anie.200462088] [Citation(s) in RCA: 44] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Affiliation(s)
- Robert Berger
- Institut für Chemie, Technische Universität Berlin, Strasse des 17. Juni 135, 10623 Berlin, Germany
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Bast R, Schwerdtfeger P, Saue T. Parity nonconservation contribution to the nuclear magnetic resonance shielding constants of chiral molecules: A four-component relativistic study. J Chem Phys 2006; 125:64504. [PMID: 16942295 DOI: 10.1063/1.2218333] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022] Open
Abstract
A systematic four-component relativistic study of the parity nonconservation (PNC) contribution to the (isotropic) NMR shielding constants of chiral molecules is presented for the P enantiomers of the series H(2)X(2) (X=(17)O,(33)S,(77)Se,(125)Te,(209)Po). The PNC contributions are obtained within a linear response approach at the Hartree-Fock level. A careful design of the basis sets is necessary. The four-component relativistic results based on the Dirac-Coulomb Hamiltonian are compared with the nonrelativistic Levy-Leblond results and those obtained by the spin-free modified Dirac Hamiltonian. The calculations confirm the nonrelativistic scaling law Z(2.4) of the PNC contribution with respect to nuclear charge Z. However, the calculations also show that the overall scaling is significantly modified by relativistic effects. The scalar relativistic effect scales as Z(4.7) for the selected set of molecules, whereas the spin-orbit effect, of opposite sign, scales better than Z(6) and completely dominates the PNC contribution for the heaviest elements. This opens up the intriguing possibility of the experimental observation of PNC effects on NMR parameters of molecules containing heavy atoms. The presented formalism is expected to be valuable in assisting the search for suitable candidate molecules.
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Affiliation(s)
- Radovan Bast
- Laboratoire de Chimie Quantique, Institut de Chimie de Strasbourg, LC3-UMR 7177 CNRS/Université Louis Pasteur, 4 Rue Blaise Pascal, F-67000 Strasbourg, France
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Berger R, van Wüllen C. Density functional calculations of molecular parity-violating effects within the zeroth-order regular approximation. J Chem Phys 2006; 122:134316. [PMID: 15847474 DOI: 10.1063/1.1869467] [Citation(s) in RCA: 41] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
A (quasirelativistic) two-component density functional theory (DFT) approach to the computation of parity-violating energy differences between enantiomers is presented which is based on the zeroth-order regular approximation (ZORA). This approach is employed herein to compute parity-violating energy differences between several P and M conformations of dihydrogen dichalcogenides (H2X2 with X=O, S, Se, Te, Po), of which some compounds have recently been suggested as potential molecular candidates for the first experimental measurement of parity-violating effects in chiral molecules. The DFT ZORA results obtained in this work with "pure" density functionals are anticipated to deviate by well less than 1% from data that would be computed within related (relativistic) four-component Dirac-Kohn-Sham-Coulomb schemes. In our implementation of the ZORA slightly larger relative deviations are expected for hybrid functionals, depending on the amount of "exact" exchange. For B3LYP (20% exact exchange) differences are estimated to amount to at most 3% in hydrogen peroxide, 2% in disulfane, and 1% or less for the heavier homologs. Thus, the present two-component approach is expected to perform excellently when compared to four-component density functional schemes while being at the same time computationally more efficient. The ZORA approach will therefore be of particular interest for the prediction of parity-violating vibrational frequency shifts, for instance, in isotopomers of H(2)Se(2) and H(2)Te(2).
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Affiliation(s)
- Robert Berger
- Chemistry Department, Technical University of Berlin, Strasse des 17. Juni 135, D-10623 Berlin, Germany.
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Berger R, Laubender G, Quack M, Sieben A, Stohner J, Willeke M. Isotopeneffekte durch Paritätsverletzung in chiralen Molekülen. Angew Chem Int Ed Engl 2005. [DOI: 10.1002/ange.200462088] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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