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Abstract
The spin-dependent propagation of electrons in helical nanowires is investigated. We show that the interplay of spin angular momentum and nanowire chirality, under spin-orbit interaction, lifts the symmetry between left and right propagating electrons, giving rise to a velocity asymmetry. The study is based on a microscopic tight-binding model that takes into account the spin-orbit interaction. The continuity equation for the spin-dependent probability density is derived, including the spin nonconserving terms, and quantum dynamics calculations are performed to obtain the electron propagation dynamics. The calculations are applied to the inorganic double-helix SnIP, a quasi-1D material that constitutes a semiconductor with a band gap of ∼1.9 eV. The results, nevertheless, have general validity due to symmetry considerations. The relation of the propagation velocity asymmetry with the phenomena ascribed to the chiral-induced spin selectivity effect is examined.
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Affiliation(s)
- Diego A Hoff
- Universidade Federal da Fronteira Sul, Chapecó, Santa Catarina 89815-899, Brazil
| | - Luis G C Rego
- Department of Physics, Universidade Federal de Santa Catarina, Florianópolis, Santa Catarina 88040-900, Brazil
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2
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Glasbrenner M, Vogler S, Ochsenfeld C. Linear and sublinear scaling computation of the electronic g-tensor at the density functional theory level. J Chem Phys 2019; 150:024104. [DOI: 10.1063/1.5066266] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Michael Glasbrenner
- Chair of Theoretical Chemistry and Center for Integrated Protein Science Munich (CIPSM), Department of Chemistry, University of Munich (LMU), Butenandtstr. 7, 81377 Munich, Germany
| | - Sigurd Vogler
- Chair of Theoretical Chemistry and Center for Integrated Protein Science Munich (CIPSM), Department of Chemistry, University of Munich (LMU), Butenandtstr. 7, 81377 Munich, Germany
| | - Christian Ochsenfeld
- Chair of Theoretical Chemistry and Center for Integrated Protein Science Munich (CIPSM), Department of Chemistry, University of Munich (LMU), Butenandtstr. 7, 81377 Munich, Germany
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3
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Singh SK, Atanasov M, Neese F. Challenges in Multireference Perturbation Theory for the Calculations of the g-Tensor of First-Row Transition-Metal Complexes. J Chem Theory Comput 2018; 14:4662-4677. [DOI: 10.1021/acs.jctc.8b00513] [Citation(s) in RCA: 41] [Impact Index Per Article: 6.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Saurabh Kumar Singh
- Department of Molecular Theory and Spectroscopy, Max-Planck Institute for Kohlenforschung, Kaiser Wilhelm-Platz-1, Mülheim an der Ruhr, Germany
| | - Mihail Atanasov
- Department of Molecular Theory and Spectroscopy, Max-Planck Institute for Kohlenforschung, Kaiser Wilhelm-Platz-1, Mülheim an der Ruhr, Germany
- Institute of General and Inorganic Chemistry, Bulgarian Academy of Sciences, Akad. Georgi Bontchev Street 11, 1113 Sofia, Bulgaria
| | - Frank Neese
- Department of Molecular Theory and Spectroscopy, Max-Planck Institute for Kohlenforschung, Kaiser Wilhelm-Platz-1, Mülheim an der Ruhr, Germany
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4
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Asher JR, Malkin VG, Malkina OL. Visualization of the four-component g-tensor density as a three-dimensional function. Chem Phys Lett 2015. [DOI: 10.1016/j.cplett.2015.07.002] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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5
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Pedersen MN, Hedegård ED, Kongsted J. Basis set error estimation for DFT calculations of electronic g-tensors for transition metal complexes. J Comput Chem 2014; 35:1809-14. [PMID: 25060998 DOI: 10.1002/jcc.23688] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/02/2014] [Revised: 06/30/2014] [Accepted: 07/02/2014] [Indexed: 11/10/2022]
Abstract
We present a detailed study of the basis set dependence of electronic g-tensors for transition metal complexes calculated using Kohn-Sham density functional theory. Focus is on the use of locally dense basis set schemes where the metal is treated using either the same or a more flexible basis set than used for the ligand sphere. The performance of all basis set schemes is compared to the extrapolated complete basis set limit results. Furthermore, we test the performance of the aug-cc-pVTZ-J basis set developed for calculations of NMR spin-spin and electron paramagnetic resonance hyperfine coupling constants. Our results show that reasonable results can be obtain when using small basis sets for the ligand sphere, and very accurate results are obtained when an aug-cc-pVTZ basis set or similar is used for all atoms in the complex.
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Affiliation(s)
- Morten N Pedersen
- Department of Physics Chemistry Pharmacy, University of Southern Denmark, DK-5230, Odense M, Denmark
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6
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Verma P, Autschbach J. Variational versus Perturbational Treatment of Spin–Orbit Coupling in Relativistic Density Functional Calculations of Electronic g Factors: Effects from Spin-Polarization and Exact Exchange. J Chem Theory Comput 2013; 9:1052-67. [DOI: 10.1021/ct3009864] [Citation(s) in RCA: 43] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Prakash Verma
- Department of Chemistry, State University of New York
at Buffalo, Buffalo, New York 14260-3000
| | - Jochen Autschbach
- Department of Chemistry, State University of New York
at Buffalo, Buffalo, New York 14260-3000
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7
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Autschbach J, Pritchard B. Calculation of molecular g-tensors using the zeroth-order regular approximation and density functional theory: expectation value versus linear response approaches. Theor Chem Acc 2011. [DOI: 10.1007/s00214-010-0880-x] [Citation(s) in RCA: 43] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022]
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8
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Tarczay G, Szalay PG, Gauss J. First-Principles Calculation of Electron Spin-Rotation Tensors. J Phys Chem A 2010; 114:9246-52. [DOI: 10.1021/jp103789x] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- György Tarczay
- Laboratory of Molecular Spectroscopy, Institute of Chemistry, Eötvös University, P.O. Box 32, H-1518, Budapest 112, Hungary, Laboratory of Theoretical Chemistry, Institute of Chemistry, Eötvös University, P.O. Box 32, H-1518, Budapest 112, Hungary, and Institut für Physikalische Chemie, Universität Mainz, D-55099 Mainz, Germany
| | - Péter G. Szalay
- Laboratory of Molecular Spectroscopy, Institute of Chemistry, Eötvös University, P.O. Box 32, H-1518, Budapest 112, Hungary, Laboratory of Theoretical Chemistry, Institute of Chemistry, Eötvös University, P.O. Box 32, H-1518, Budapest 112, Hungary, and Institut für Physikalische Chemie, Universität Mainz, D-55099 Mainz, Germany
| | - Jürgen Gauss
- Laboratory of Molecular Spectroscopy, Institute of Chemistry, Eötvös University, P.O. Box 32, H-1518, Budapest 112, Hungary, Laboratory of Theoretical Chemistry, Institute of Chemistry, Eötvös University, P.O. Box 32, H-1518, Budapest 112, Hungary, and Institut für Physikalische Chemie, Universität Mainz, D-55099 Mainz, Germany
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9
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Relativistic Effects on Magnetic Resonance Parameters and Other Properties of Inorganic Molecules and Metal Complexes. ACTA ACUST UNITED AC 2010. [DOI: 10.1007/978-1-4020-9975-5_12] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 04/08/2023]
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10
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Gauss J, Kállay M, Neese F. Calculation of Electronic g-Tensors using Coupled Cluster Theory. J Phys Chem A 2009; 113:11541-9. [DOI: 10.1021/jp9028535] [Citation(s) in RCA: 50] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/19/2023]
Affiliation(s)
- Jürgen Gauss
- Institut für Physikalische Chemie, Universität Mainz, D-55099 Mainz, Germany, Department of Physical Chemistry and Materials Science, Budapest University of Technology and Economics, P.O. Box 91, H-1521 Budapest, Hungary, and Institut für Physikalische und Theoretische Chemie, Universität Bonn, Wegelerstrasse 12, D-53115 Bonn, Germany
| | - Mihály Kállay
- Institut für Physikalische Chemie, Universität Mainz, D-55099 Mainz, Germany, Department of Physical Chemistry and Materials Science, Budapest University of Technology and Economics, P.O. Box 91, H-1521 Budapest, Hungary, and Institut für Physikalische und Theoretische Chemie, Universität Bonn, Wegelerstrasse 12, D-53115 Bonn, Germany
| | - Frank Neese
- Institut für Physikalische Chemie, Universität Mainz, D-55099 Mainz, Germany, Department of Physical Chemistry and Materials Science, Budapest University of Technology and Economics, P.O. Box 91, H-1521 Budapest, Hungary, and Institut für Physikalische und Theoretische Chemie, Universität Bonn, Wegelerstrasse 12, D-53115 Bonn, Germany
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Valero R, Truhlar DG. A Diabatic Representation Including Both Valence Nonadiabatic Interactions and Spin−Orbit Effects for Reaction Dynamics. J Phys Chem A 2007; 111:8536-51. [PMID: 17691756 DOI: 10.1021/jp072590u] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
A diabatic representation is convenient in the study of electronically nonadiabatic chemical reactions because the diabatic energies and couplings are smooth functions of the nuclear coordinates and the couplings are scalar quantities. A method called the fourfold way was devised in our group to generate diabatic representations for spin-free electronic states. One drawback of diabatic states computed from the spin-free Hamiltonian, called a valence diabatic representation, for systems in which spin-orbit coupling cannot be ignored is that the couplings between the states are not zero in asymptotic regions, leading to difficulties in the calculation of reaction probabilities and other properties by semiclassical dynamics methods. Here we report an extension of the fourfold way to construct diabatic representations suitable for spin-coupled systems. In this article we formulate the method for the case of even-electron systems that yield pairs of fragments with doublet spin multiplicity. For this type of system, we introduce the further simplification of calculating the triplet diabatic energies in terms of the singlet diabatic energies via Slater's rules and assuming constant ratios of Coulomb to exchange integrals. Furthermore, the valence diabatic couplings in the triplet manifold are taken equal to the singlet ones. An important feature of the method is the introduction of scaling functions, as they allow one to deal with multibond reactions without having to include high-energy diabatic states. The global transformation matrix to the new diabatic representation, called the spin-valence diabatic representation, is constructed as the product of channel-specific transformation matrices, each one taken as the product of an asymptotic transformation matrix and a scaling function that depends on ratios of the spin-orbit splitting and the valence splittings. Thus the underlying basis functions are recoupled into suitable diabatic basis functions in a manner that provides a multibond generalization of the switch between Hund's cases in diatomic spectroscopy. The spin-orbit matrix elements in this representation are taken equal to their atomic values times a scaling function that depends on the internuclear distances. The spin-valence diabatic potential energy matrix is suitable for semiclassical dynamics simulations. Diagonalization of this matrix produces the spin-coupled adiabatic energies. For the sake of illustration, diabatic potential energy matrices are constructed along bond-fission coordinates for the HBr and the BrCH(2)Cl molecules. Comparison of the spin-coupled adiabatic energies obtained from the spin-valence diabatics with those obtained by ab initio calculations with geometry-dependent spin-orbit matrix elements shows that the new method is sufficiently accurate for practical purposes. The method formulated here should be most useful for systems with a large number of atoms, especially heavy atoms, and/or a large number of spin-coupled electronic states.
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Affiliation(s)
- Rosendo Valero
- Department of Chemistry and Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, USA
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12
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Bearpark MJ, Handy NC, Palmieri P, Tarroni R. Spin-orbit interactions from self consistent field wavefunctions. Mol Phys 2006. [DOI: 10.1080/00268979300102411] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
Affiliation(s)
- Michael J. Bearpark
- a University Chemical Laboratory , Lensfield Road, Cambridge , CB2 1EW , England
- c Department of Chemistry , King's College, Strand , London , WC2R 2LS , UK
| | - Nicholas C. Handy
- a University Chemical Laboratory , Lensfield Road, Cambridge , CB2 1EW , England
| | - Paolo Palmieri
- b Dipartimento di Chimica Fisica ed Inorganica , Università di Bologna , Viale Risorgimento 4, 40136 , Bologna , Italy
| | - Riccardo Tarroni
- b Dipartimento di Chimica Fisica ed Inorganica , Università di Bologna , Viale Risorgimento 4, 40136 , Bologna , Italy
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13
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Manne R, Wittel K, Mohanty B. Spin-orbit interaction in molecular photoelectron spectra An intermediate coupling approach. Mol Phys 2006. [DOI: 10.1080/00268977500100411] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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14
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Patchkovskii S, Strong RT, Pickard CJ, Un S. Gauge invariance of the spin-other-orbit contribution to the g-tensors of electron paramagnetic resonance. J Chem Phys 2005; 122:214101. [PMID: 15974722 DOI: 10.1063/1.1917840] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The spin-other-orbit (SOO) contribution to the g-tensor (DeltagSOO) of electron paramagnetic resonance arises due to the interaction of electron-spin magnetic moment with the magnetic field produced by the orbital motion of other electrons. A similar mechanism is responsible for the leading term in nuclear magnetic-shielding tensors sigma. We demonstrate that analogous to sigma, paramagnetic DeltagSOO contribution exhibits a pronounced dependence on the choice of the magnetic-field gauge. The gauge corrections to DeltagSOO are similar in magnitude, and opposite in sign, to the paramagnetic SOO term. We calculate gauge-invariant DeltagSOO values using gauge-including atomic orbitals and density-functional theory. For organic radicals, complete gauge-invariant DeltagSOO values typically amount to less than 500 parts per million (ppm), and are small compared to other g-tensor contributions. For the first-row transition-metal compounds, DeltagSOO may contribute several thousand ppm to the g-tensor, but are negligible compared to the remaining deviations from experiment. With popular choices for the magnetic-field gauge, the individual gauge-variant contributions may be an order of magnitude higher, and do not provide a reliable estimation of DeltagSOO.
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Affiliation(s)
- S Patchkovskii
- Steacie Institute for Molecular Sciences, National Research Council (NRC) Canada, 100 Sussex Dr., Ottawa, Ontario K1A 0R6, Canada.
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15
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Pasternak R, Wagnière G. Semiempirical spin-orbit coupling calculations. I. Theory and method. Benzophenone as a test case. J Comput Chem 2004. [DOI: 10.1002/jcc.540020315] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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16
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Manninen P, Vaara J, Ruud K. Perturbational relativistic theory of electron spin resonance g-tensor. J Chem Phys 2004; 121:1258-65. [PMID: 15260666 DOI: 10.1063/1.1759321] [Citation(s) in RCA: 13] [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 carry out a complete treatment of the leading-order relativistic one-electron contributions, arising from the Breit-Pauli Hamiltonian, to the g-tensor of electron spin resonance spectroscopy. We classify the different terms and discuss their interpretation as well as give numerical ab initio estimates for the F2(-), Cl2(-), Br2(-), and I2(-) series, using analytical response theory calculations with a multiconfigurational self-consistent field reference state. The results are compared to available experimental data. (c) 2004 American Institute of Physics
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Affiliation(s)
- Pekka Manninen
- Laboratory of Physical Chemistry, Department of Chemistry, P.O. Box 55 (A.I. Virtasen aukio 1), FIN-00014 University of Helsinki, Helsinki, Finland
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17
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Wüest A, Merkt F. Potential energy curves of diatomic molecular ions from high-resolution photoelectron spectroscopy. I. The first six electronic states of Ar2+. J Chem Phys 2004; 120:638-46. [PMID: 15267898 DOI: 10.1063/1.1621618] [Citation(s) in RCA: 43] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
High-resolution photoelectron spectroscopic data have been used to determine the potential energy curves of the first six electronic states of Ar2+. The potential energy functions properly include the effects of the long-range interactions and of the spin-orbit interaction and are of spectroscopic accuracy (1-2 cm(-1)) over a wide range of internuclear distances. The total number of adjustable parameters could be reduced to only 12 by truncating the long-range interaction series after the R(-6) term and assuming an R-independent spin-orbit coupling constant. This assumption was verified to be valid to an accuracy of +/-2 cm(-1) over the range of internuclear distances between 3.0 and 4.6 A. The interaction potential proposed by Siska [P. E. Siska, J. Chem. Phys. 85, 7497 (1986)] was generalized to a form that is expected to be sufficiently flexible to describe chemical bonding in other diatomic molecular ions. The potential energy curves are more accurate than the best available ab initio curves by two orders of magnitude and provide quantitative information on dissociation energies and equilibrium internuclear distances. The local maximum between the two potential wells of the I(1/2g) state was determined to lie 62 cm(-1) below the Ar(1S0)+Ar(+)(2P(3/2)) dissociation limit, and the II(1/2g) state is found to be significantly more bound (De=177 cm(-1)) than previously assumed.
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Affiliation(s)
- A Wüest
- Physical Chemistry, ETH Zürich (HCI), CH-8093 Zurich, Switzerland
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18
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Correlated ab initio calculation of electronic g-tensors using a sum over states formulation. Chem Phys Lett 2003. [DOI: 10.1016/j.cplett.2003.09.047] [Citation(s) in RCA: 36] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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Brownridge S, Grein F, Tatchen J, Kleinschmidt M, Marian CM. Efficient calculation of electron paramagnetic resonance g-tensors by multireference configuration interaction sum-over-state expansions, using the atomic mean-field spin–orbit method. J Chem Phys 2003. [DOI: 10.1063/1.1569243] [Citation(s) in RCA: 36] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023] Open
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Ding Z, Gullá AF, Budil DE. Ab initio calculations of electric field effects on the g-tensor of a nitroxide radical. J Chem Phys 2001. [DOI: 10.1063/1.1416177] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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22
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BERNING ANDREAS, SCHWEIZER MARCUS, WERNER HANSJOACHIM, KNOWLES PETERJ, PALMIERI PAOLO. Spin-orbit matrix elements for internally contracted multireference configuration interaction wavefunctions. Mol Phys 2000. [DOI: 10.1080/00268970009483386] [Citation(s) in RCA: 652] [Impact Index Per Article: 27.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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23
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Patchkovskii S, Ziegler T. Prediction of EPR g Tensors in Simple d1 Metal Porphyrins with Density Functional Theory. J Am Chem Soc 2000. [DOI: 10.1021/ja994041a] [Citation(s) in RCA: 57] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- S. Patchkovskii
- Contribution from the Department of Chemistry, University of Calgary, 2500 University Drive NW, Calgary, Alberta, T2N 1N4 Canada
| | - T. Ziegler
- Contribution from the Department of Chemistry, University of Calgary, 2500 University Drive NW, Calgary, Alberta, T2N 1N4 Canada
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Lushington GH. Small Closed-Form CI Expansions for Electronic g-Tensor Calculations. J Phys Chem A 2000. [DOI: 10.1021/jp9937656] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/25/2022]
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25
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Neese F, Solomon EI. MCD C-Term Signs, Saturation Behavior, and Determination of Band Polarizations in Randomly Oriented Systems with Spin S >/= (1)/(2). Applications to S = (1)/(2) and S = (5)/(2). Inorg Chem 1999; 38:1847-1865. [PMID: 11670957 DOI: 10.1021/ic981264d] [Citation(s) in RCA: 196] [Impact Index Per Article: 7.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
The magnetic circular dichroism (MCD) properties of a spin-allowed transition from an orbitally nondegenerate ground state manifold A to an orbitally nondegenerate excited state manifold J in the presence of spin-orbit coupling (SOC) are derived for any S >/= (1)/(2). Three physically distinct mechanisms are identified that lead to MCD intensity and depend on SOC between excited states which leads to a sum rule and SOC between the ground state and other excited states that leads to deviations from the sum rule. The model is valid for any symmetry of the magnetic coupling tensors and arbitrary transition polarizations. The S = (1)/(2) case is analytically solved, and the determination of linear polarizations from MCD saturation magnetization data is discussed. For all mechanisms the MCD intensity is proportional to the spin-expectation values of the ground state sublevels which are conveniently generated from a spin-Hamiltonian (SH). For Kramers systems with large zero-field splittings (ZFSs) this allows the contribution from each Kramers doublet to the total MCD intensity to be related through their effective g-values, therefore significantly reducing the number of parameters required to analyze experimental data. The behavior of high-spin systems is discussed in the limits of weak, intermediate, and strong ZFS relative to the Zeeman energy. The model remains valid in the important case of intermediate ZFS where the ground state sublevels may cross as a function of applied magnetic field and there are significant off-axis contributions to the MCD intensity due to a change of the electron spin quantization axis. The model permits calculation of MCD C-term signs from molecular wave functions, and explicit expressions are derived in terms of MOs for S = (1)/(2) and S = (5)/(2). Two examples from the literature are analyzed to demonstrate how the C-term signs can be evaluated by a graphical method that gives insight into their physical origin.
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Affiliation(s)
- Frank Neese
- Department of Chemistry, Stanford University, Stanford, California 94305
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26
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Jayatilaka D. Electron spin resonance g tensors from general Hartree–Fock calculations. J Chem Phys 1998. [DOI: 10.1063/1.476193] [Citation(s) in RCA: 68] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Törring JT, Un S, Knüpling M, Plato M, Möbius K. On the calculation of G tensors of organic radicals. J Chem Phys 1997. [DOI: 10.1063/1.474747] [Citation(s) in RCA: 40] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Schreckenbach G, Ziegler T. Calculation of the G-Tensor of Electron Paramagnetic Resonance Spectroscopy Using Gauge-Including Atomic Orbitals and Density Functional Theory. J Phys Chem A 1997. [DOI: 10.1021/jp963060t] [Citation(s) in RCA: 222] [Impact Index Per Article: 8.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Georg Schreckenbach
- Department of Chemistry, The University of Calgary, Calgary, Alberta, Canada T2N 1N4
| | - Tom Ziegler
- Department of Chemistry, The University of Calgary, Calgary, Alberta, Canada T2N 1N4
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29
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Lushington GH, Grein F. Multireference configuration interaction calculations of electronicg-tensors for NO2, H2O+, and CO+. J Chem Phys 1997. [DOI: 10.1063/1.473077] [Citation(s) in RCA: 76] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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30
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Lushington GH, Grein F. Complete to second-orderab initio level calculations of electronicg-tensors. ACTA ACUST UNITED AC 1996. [DOI: 10.1007/bf01127505] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
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31
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Ishii M, Morihashi K, Kikuchi O. Ab initio calculations of g values of free radicals by finite perturbation theory. ACTA ACUST UNITED AC 1991. [DOI: 10.1016/0166-1280(91)85083-j] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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32
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Angstl R. Calculation of molecular g tensors. Comparison of Rayleigh-Schrödinger and Hartree-Fock perturbation theory. Chem Phys 1990. [DOI: 10.1016/0301-0104(90)87050-l] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Shiraishi H, Ishigure K, Morokuma K. An ESR study on solvated electrons in water and alcohols: Difference in the g factor and related analysis of the electronic state by MO calculation. J Chem Phys 1988. [DOI: 10.1063/1.453776] [Citation(s) in RCA: 35] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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35
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Bent GD, Adams GF, Bartram RH, Purvis GD, Bartlett RJ. Many‐body perturbation theory electronic structure calculations for the methoxy radical. I. Determination of Jahn–Teller energy surfaces, spin–orbit splitting, and Zeeman effect. J Chem Phys 1982. [DOI: 10.1063/1.443491] [Citation(s) in RCA: 46] [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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