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Biswas R, Chen Y, Vela J, Rossini AJ. Relativistic DFT Calculations of Cadmium and Selenium Solid-State NMR Spectra of CdSe Nanocrystal Surfaces. ACS Omega 2023; 8:44362-44371. [PMID: 38027327 PMCID: PMC10666156 DOI: 10.1021/acsomega.3c07680] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 10/03/2023] [Revised: 10/11/2023] [Accepted: 10/16/2023] [Indexed: 12/01/2023]
Abstract
Solid-state NMR spectra have been used to probe the structure of CdSe nanocrystals and propose detailed models of their surface structures. Density functional theory (DFT)-optimized cluster models that represent probable molecular structures of carboxylate-coordinated surface sites have been proposed. However, to the best of our knowledge, 113Cd and 77Se chemical shifts have not been calculated for these surface models. We performed relativistic DFT calculations of cadmium and selenium magnetic shielding tensors on model compounds with previously measured solid-state NMR spectra with (i) the four-component Dirac-Kohn-Sham (DKS) Hamiltonian and (ii) the scalar and (iii) spin-orbit levels within the ZORA Hamiltonian. Molecular clusters with Cd and Se sites in varying bonding environments were used to model CdSe (100) and CdSe(111) surfaces capped with carboxylic acid ligands. Our calculations identify the observed 113Cd isotropic chemical shifts δ(iso) of -465, -318, and -146 ppm arising from CdSeO3, CdSe2O2, and CdSe3O surface groups, respectively, with very good agreement with experimental measurements. The 113Cd chemical shifts linearly decrease with the number of O-neighbors. The calculated spans (δ11 - δ33) encompass the experimental values for CdSe3O and CdSe2O2 clusters but are slightly larger than the measured value for CdSeO3 clusters. Relativistic DFT calculations predicted a one-bond 113Cd-77Se scalar coupling of 258 Hz, which is in good agreement with the experimental values of 250 Hz. With a dense coverage of carboxylic acid ligands, the CdSe (100) surface shows a distribution of Cd-Se bond lengths and J-couplings. Relativistic DFT simulations thus aid in interpretation of NMR spectra of CdSe nanocrystals and related nanomaterials.
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Affiliation(s)
- Rana Biswas
- U.S.
Department of Energy Ames National Laboratory, Ames, Iowa 50011. United States
- Department
of Physics and Astronomy; Electrical & Computer Engineering; Microelectronics
Research Center, Iowa State University, Ames, Iowa 50011. United States
| | - Yunhua Chen
- U.S.
Department of Energy Ames National Laboratory, Ames, Iowa 50011. United States
- Department
of Chemistry, Iowa State University, Ames, Iowa 50011. United States
| | - Javier Vela
- U.S.
Department of Energy Ames National Laboratory, Ames, Iowa 50011. United States
- Department
of Chemistry, Iowa State University, Ames, Iowa 50011. United States
| | - Aaron J. Rossini
- U.S.
Department of Energy Ames National Laboratory, Ames, Iowa 50011. United States
- Department
of Chemistry, Iowa State University, Ames, Iowa 50011. United States
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2
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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] [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 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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Quarti C, Furet E, Katan C. DFT Simulations as Valuable Tool to Support NMR Characterization of Halide Perovskites: the Case of Pure and Mixed Halide Perovskites. Helv Chim Acta 2021. [DOI: 10.1002/hlca.202000231] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
Affiliation(s)
- Claudio Quarti
- Univ Rennes, ENSCR, INSA Rennes, CNRS, ISCR Institut des Sciences Chimiques de Rennes)-UMR 6226 FR-35000 Rennes France
- University of Mons Laboratory for Chemistry of Novel Materials BE-7000 Mons Belgium
| | - Eric Furet
- Univ Rennes, ENSCR, INSA Rennes, CNRS, ISCR Institut des Sciences Chimiques de Rennes)-UMR 6226 FR-35000 Rennes France
| | - Claudine Katan
- Univ Rennes, ENSCR, INSA Rennes, CNRS, ISCR Institut des Sciences Chimiques de Rennes)-UMR 6226 FR-35000 Rennes France
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Vı́cha J, Novotný J, Komorovsky S, Straka M, Kaupp M, Marek R. Relativistic Heavy-Neighbor-Atom Effects on NMR Shifts: Concepts and Trends Across the Periodic Table. Chem Rev 2020; 120:7065-7103. [DOI: 10.1021/acs.chemrev.9b00785] [Citation(s) in RCA: 64] [Impact Index Per Article: 16.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/21/2022]
Affiliation(s)
- Jan Vı́cha
- Centre of Polymer Systems, Tomas Bata University in Zlı́n, tř. Tomáše Bati 5678, CZ-76001 Zlı́n, Czechia
| | - Jan Novotný
- CEITEC - Central European Institute of Technology, Masaryk University, Kamenice 5, CZ-62500 Brno, Czechia
| | - Stanislav Komorovsky
- Institute of Inorganic Chemistry, Slovak Academy of Sciences, Dúbravská cesta 9, SK-84536 Bratislava, Slovakia
| | - Michal Straka
- Institute of Organic Chemistry and Biochemistry, Czech Academy of Sciences, Flemingovo nám. 2, CZ-16610 Prague, Czechia
| | - Martin Kaupp
- Institute of Chemistry, Technische Universität Berlin, Strasse des 17. Juni 135, D-10623 Berlin, Germany
| | - Radek Marek
- CEITEC - Central European Institute of Technology, Masaryk University, Kamenice 5, CZ-62500 Brno, Czechia
- Department of Chemistry, Faculty of Science, Masaryk University, Kamenice 5, CZ-62500 Brno, Czechia
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Repisky M, Komorovsky S, Kadek M, Konecny L, Ekström U, Malkin E, Kaupp M, Ruud K, Malkina OL, Malkin VG. ReSpect: Relativistic spectroscopy DFT program package. J Chem Phys 2020; 152:184101. [DOI: 10.1063/5.0005094] [Citation(s) in RCA: 47] [Impact Index Per Article: 11.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/05/2023] Open
Affiliation(s)
- Michal Repisky
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, UiT The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Stanislav Komorovsky
- Institute of Inorganic Chemistry, Slovak Academy of Sciences, Dubravska cesta 9, SK-84536 Bratislava, Slovakia
| | - Marius Kadek
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, UiT The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Lukas Konecny
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, UiT The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Ulf Ekström
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, University of Oslo, N-0315 Oslo, Norway
| | - Elena Malkin
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, UiT The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Martin Kaupp
- Technische Universität Berlin, Institute of Chemistry, Strasse des 17 Juni 135, D-10623 Berlin, Germany
| | - Kenneth Ruud
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, UiT The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Olga L. Malkina
- Institute of Inorganic Chemistry, Slovak Academy of Sciences, Dubravska cesta 9, SK-84536 Bratislava, Slovakia
| | - Vladimir G. Malkin
- Institute of Inorganic Chemistry, Slovak Academy of Sciences, Dubravska cesta 9, SK-84536 Bratislava, Slovakia
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Melo JI, Maldonado AF, Aucar GA. Performance of the LRESC Model on top of DFT Functionals for Relativistic NMR Shielding Calculations. J Chem Inf Model 2020; 60:722-730. [PMID: 31877038 DOI: 10.1021/acs.jcim.9b00912] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The linear response within the elimination of the small component model (LRESC) is an insightful and computationally efficient method for including relativistic effects on molecular properties like the nuclear magnetic shielding constants, spin-rotation constant, g-tensor, and electric field gradient of heavy atom containing molecules with atoms belonging up to the sixth row of the periodic table. One of its main advantages is its capacity to analyze the electronic origin of the different relativistic correcting terms. Until now, it was always applied on top of Hartree-Fock ground-state wave functions (LRESC/HF) to calculate and analyze NMR shieldings. In this work, we show the performance of the LRESC formalism on top of some density functional theory (DFT) functionals to compute tin shielding constants in SnX4 (X = H, F, Cl, Br, I) molecular systems. We analyze the performance of each LRESC/DFT scheme on reproducing the electronic mechanisms of the shieldings, taking as a benchmark the results of relativistic calculations at the RPA level of approach (4c/RPA). As in previous works, we divide the LRESC relativistic correcting terms into two groups: core-dependent and ligand-dependent contributions. It is shown here that core-dependent corrections are well-reproduced for the selected DFT functionals, but some differences arise in the ligand-dependent ones. We focus on the performance of different functionals, including the same electron correlation part but containing different amounts of HF exchange. The best results are obtained for the BHandHLYP functional (50% of HF exchange) and the worst for BLYP (0%). When the percentage of HF exchange increases, ligand-dependent contributions are better described, and the final LRESC/DFT results are closer to those obtained with LRESC/HF and 4c/RPA methods. The spin-orbit correction to the shielding constant is one of the main ligand-dependent contributions (there are two more) with total value depending on the amount of HF exchange included in the functional. When the amount of HF exchange decreases, the spin-orbit contribution becomes larger, overestimating the shielding constant even when nonrelativisitc DFT values are much smaller than the nonrelativistic HF ones, as it happens for the heaviest molecular system studied here (SnI4).
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Affiliation(s)
- Juan I Melo
- Departamento de Física, Facultad de Ciencias Exactas y Naturales , Universidad de Buenos Aires and IFIBA CONICET , Buenos Aires 1428 , Argentina
| | - Alejandro F Maldonado
- Physics Department, Natural and Exact Science Faculty, Northeastern University of Argentina and Institute of Modelling and Innovation on Technology , IMIT CONICET-UNNE , Corrientes W3404AAS , Argentina
| | - Gustavo A Aucar
- Physics Department, Natural and Exact Science Faculty, Northeastern University of Argentina and Institute of Modelling and Innovation on Technology , IMIT CONICET-UNNE , Corrientes W3404AAS , Argentina
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Abstract
This work reports new, accurate nuclear magnetic dipole moments for transition metal nuclei where the long-standing systematic error due to obsolete diamagnetic correction has been eliminated by ab initio calculations of NMR shielding constants.
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Affiliation(s)
- Andrej Antušek
- Slovak University of Technology
- ATRI
- Faculty of Materials Science and Technology in Trnava
- 917 24 Trnava
- Slovak Republic
| | - Michal Repisky
- Hylleraas Centre for Quantum Molecular Sciences
- Department of Chemistry
- UiT – The Arctic University of Norway
- N-9037 Tromsø
- Norway
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Czernek J, Kobera L, Havlák L, Czerneková V, Rohlíček J, Bárta J, Brus J. Probing the 91Zr NMR parameters in the solid state by a combination of DFT calculations and experiments. Chem Phys Lett 2020. [DOI: 10.1016/j.cplett.2019.136855] [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: 11/29/2022]
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10
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Benedetti M, De Castro F, Ciccarese A, Fanizzi FP. Is hydrogen electronegativity higher than Pauling’s value? New clues from the 13C and 29Si NMR chemical shifts of [CHF 3] and [SiHF 3] molecules. PURE APPL CHEM 2019. [DOI: 10.1515/pac-2019-0202] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Abstract
AbstractWe previously demonstrated that the δ NMR chemical shift of central NMR active atoms (A), in simple halido [AXn] (A=C, Si, Ge, Sn, Pb, Pt; Xn = combination of n halides, n = 4 or 6) derivatives, could be directly related to X radii overall sum, Σ(rL). Further correlation have also been observed for tetrahedral [AX4] (A=C, Si; X4 = combination of four halides) compounds where the X Pauling electronegativities sum,Σ(χLPau),$\Sigma (\chi _L^{{\rm{Pau}}}),$exceeds a specific value (≈12.4). In this work, we focused on these latter systems considering the H vs. X substitution. The analysis of the literature reported δ(13C) and δ(29Si) NMR chemical shift for the mono hydrogenated derivatives and in particular for [CHF3] and [SiHF3], characterized by the lowest Σ(rL) and the highestΣ(χLPau),$\Sigma (\chi _L^{{\rm{Pau}}}),$suggests a revised value for the H electronegativity ranking with respect to Pauling’s.
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Affiliation(s)
- Michele Benedetti
- Department of Biological and Environmental Sciences and Technologies (DiSTeBA) , University of Salento , Via Monteroni, I-73100 Lecce , Italy , Tel.: +39 0832299264, Fax: +39 0832 298626
| | - Federica De Castro
- Department of Biological and Environmental Sciences and Technologies (DiSTeBA) , University of Salento , Via Monteroni , I-73100 Lecce , Italy
| | - Antonella Ciccarese
- Department of Biological and Environmental Sciences and Technologies (DiSTeBA) , University of Salento , Via Monteroni , I-73100 Lecce , Italy
| | - Francesco Paolo Fanizzi
- Department of Biological and Environmental Sciences and Technologies (DiSTeBA) , University of Salento , Via Monteroni , I-73100 Lecce , Italy , Tel.: +39 0832299265, Fax: +39 0832 298626
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11
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Alkan F, Dybowski C. Spin-orbit effects on the 125Te magnetic-shielding tensor: A cluster-based ZORA/DFT investigation. Solid State Nucl Magn Reson 2018; 95:6-11. [PMID: 30189330 DOI: 10.1016/j.ssnmr.2018.08.005] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/27/2018] [Revised: 08/24/2018] [Accepted: 08/24/2018] [Indexed: 06/08/2023]
Abstract
Cluster-based calculations of 125Te magnetic-shielding tensors demonstrate that inclusion of spin-orbit effects is necessary to obtain the best agreement of theoretical predictions with experiment. The spin-orbit contribution to shielding depends on the oxidation state and stereochemistry of the 125Te site. Comparison of the performance of various density functionals indicates that GGA functionals behave similarly to each other in predicting NMR magnetic shielding. The use of hybrid functionals improves the predictive ability on average for a large set of 125Te-containing materials. The amount of Hartree-Fock exchange affects the predicted parameters. Inclusion of larger Hartree-Fock exchange contributions in hybrid functionals results in larger slopes of the correlation between calculated magnetic-shielding and experimental chemical-shift principal components, by 10-15% from the ideal value.
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Affiliation(s)
- Fahri Alkan
- Department of Chemistry, Kansas State University, Manhattan, KS, 66506, USA
| | - Cecil Dybowski
- Department of Chemistry and Biochemistry, University of Delaware, Newark, DE, 19716, USA.
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12
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Aucar IA, Giménez CA, Aucar GA. Influence of the nuclear charge distribution and electron correlation effects on magnetic shieldings and spin-rotation tensors of linear molecules. RSC Adv 2018; 8:20234-20249. [PMID: 35541654 PMCID: PMC9080724 DOI: 10.1039/c8ra03948h] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/08/2018] [Accepted: 05/13/2018] [Indexed: 12/02/2022] Open
Abstract
The nuclear charge distribution effects (NChDE) on two response properties, the NMR magnetic shielding (σ) and the nuclear spin-rotation (SR) constants (M), are analyzed. We do it employing point-like and Gaussian-like models for describing the nuclear charge density of three linear molecules: HBr, HI and HAt. According to our results, both properties are sensitive to the NChDE. We show that the NChDE are almost completely relativistic, i.e., they nearly vanish in the non-relativistic limit of both properties. We calculated the NChDE on σ and M, and analyzed the differences between them in terms of a relativistic relation between these two properties. Using that relation we found that the electronic core mechanisms are the main ones for the NChDE on the shielding of nuclei of both, molecules and free atoms. The NChDE are smaller on SR constants than on shieldings. Nevertheless, within the relativistic polarization propagator formalism at the RPA level of approach they are very important for SR constants of nuclei in heavy-atom-containing compounds. Astatine in HAt has the largest influence: MAt = −9.95 kHz for a point-like model and −50.10 kHz for a Gaussian-like model. Correlation effects must be included and we do it using different DFT schemes. The PBE0 functional gives results that are closest to experiments for Br and I, though the LDA gives the closest for hydrogen. The value of the SR constant of At is reduced among 350 kHz and 500 kHz from its RPA value, when different and usual functionals are applied. Given that the NChDE on M and σ are mostly relativistic in their origin, these effects are also dependent on electron correlation. They have also a nonvanishing dependence with the Gaunt electron–electron interactions. The origin and the size of both, electron correlation and nuclear charge distribution on shieldings and spin-rotations of heavy-atom containing linear molecules are shown. The analysis is performed on the relativistic and non relativistic regimes.![]()
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Affiliation(s)
- I. Agustín Aucar
- Instituto de Modelado e Innovación Tecnológica
- CONICET
- Departamento de Física – Facultad de Ciencias Exactas y Naturales
- UNNE
- Corrientes
| | - Carlos A. Giménez
- Instituto de Modelado e Innovación Tecnológica
- CONICET
- Departamento de Física – Facultad de Ciencias Exactas y Naturales
- UNNE
- Corrientes
| | - Gustavo A. Aucar
- Instituto de Modelado e Innovación Tecnológica
- CONICET
- Departamento de Física – Facultad de Ciencias Exactas y Naturales
- UNNE
- Corrientes
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Affiliation(s)
- Tereza Uhlíková
- Department of Analytical Chemistry, University of Chemistry and Technology, Technická 5, 166 28 Prague 6, Czech Republic
| | - Štěpán Urban
- Department of Analytical Chemistry, University of Chemistry and Technology, Technická 5, 166 28 Prague 6, Czech Republic
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14
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Benedetti M, De Castro F, Fanizzi FP. Pauling Electronegativity On/Off Effects Assessed by 13C and 29Si NMR Spectroscopic Analysis. Chemistry 2017; 23:16877-16884. [DOI: 10.1002/chem.201703934] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/22/2017] [Indexed: 11/08/2022]
Affiliation(s)
- Michele Benedetti
- Dipartimento di Scienze e Tecnologie Biologiche ed Ambientali; Università del Salento; Via Monteroni 73100 Lecce Italy
| | - Federica De Castro
- Dipartimento di Scienze e Tecnologie Biologiche ed Ambientali; Università del Salento; Via Monteroni 73100 Lecce Italy
| | - Francesco P. Fanizzi
- Dipartimento di Scienze e Tecnologie Biologiche ed Ambientali; Università del Salento; Via Monteroni 73100 Lecce Italy
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15
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Demissie TB. Relativistic effects on the NMR parameters of Si, Ge, Sn, and Pb alkynyl compounds: Scalar versus spin-orbit effects. J Chem Phys 2017; 147:174301. [DOI: 10.1063/1.4996712] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022] Open
Affiliation(s)
- Taye B. Demissie
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, UiT The Arctic University of Norway, 9037 Tromsø, Norway
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16
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Benedetti M, De Castro F, Fanizzi FP. 73Ge, 119Sn and 207Pb: general cooperative effects of single atom ligands on the NMR signals observed in tetrahedral [MX nY 4-n] (M = Ge, Sn, Pb; 1 ≤ n ≤ 4; X, Y = Cl, Br, I) coordination compounds of heavier XIV group elements. Dalton Trans 2017; 46:2855-2860. [PMID: 28181618 DOI: 10.1039/c7dt00307b] [Citation(s) in RCA: 4] [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: 11/21/2022]
Abstract
An inverse linear relationship between 73Ge, 119Sn and 207Pb NMR chemical shifts and the overall sum of ionic radii of coordinated halido ligands has been discovered in tetrahedral [MXnY4-n] (M = Ge, Sn, Pb; 1 ≤ n ≤ 4; X, Y = Cl, Br, I) coordination compounds. This finding is consistent with a previously reported correlation found in octahedral, pentacoordinate and square planar platinum complexes. The effect of the coordinated halido ligands acting on the metal as shielding conducting rings is therefore confirmed also by 73Ge, 119Sn and 207Pb NMR spectroscopy.
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Affiliation(s)
- M Benedetti
- Dipartimento di Scienze e Tecnologie Biologiche ed Ambientali, Università del Salento, Via Monteroni, I-73100 Lecce, Italy.
| | - F De Castro
- Dipartimento di Scienze e Tecnologie Biologiche ed Ambientali, Università del Salento, Via Monteroni, I-73100 Lecce, Italy.
| | - F P Fanizzi
- Dipartimento di Scienze e Tecnologie Biologiche ed Ambientali, Università del Salento, Via Monteroni, I-73100 Lecce, Italy.
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17
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Benedetti M, De Castro F, Ciccarese A, Fanizzi FP. NMR effective radius of hydrogen in XIV group hydrides evaluated by NMR spectroscopy. Dalton Trans 2017; 46:14094-14097. [DOI: 10.1039/c7dt03348f] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
In the [ABrnIm] (A = C, Si, Ge, Sn; n + m = 4) compounds, with the heavier halido ligands bonded to the central IV group elements, the 13C, 29Si, 73Ge and 119Sn NMR chemical shifts were found to be linearly related to the bonded halides ionic radii overall sum, ∑(rh). The 207Pb NMR chemical shift of the unstable [PbH4] hydride could be calculated.
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Affiliation(s)
- M. Benedetti
- Dipartimento di Scienze e Tecnologie Biologiche ed Ambientali
- Università del Salento
- I-73100 Lecce
- Italy
| | - F. De Castro
- Dipartimento di Scienze e Tecnologie Biologiche ed Ambientali
- Università del Salento
- I-73100 Lecce
- Italy
| | - A. Ciccarese
- Dipartimento di Scienze e Tecnologie Biologiche ed Ambientali
- Università del Salento
- I-73100 Lecce
- Italy
| | - F. P. Fanizzi
- Dipartimento di Scienze e Tecnologie Biologiche ed Ambientali
- Università del Salento
- I-73100 Lecce
- Italy
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18
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Olejniczak M, Bast R, Pereira Gomes AS. On the calculation of second-order magnetic properties using subsystem approaches in a relativistic framework. Phys Chem Chem Phys 2017; 19:8400-8415. [DOI: 10.1039/c6cp08561j] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The implementation of second-order magnetic properties in a frozen density embedding scheme in a four component relativistic framework is outlined and applied to model H2X–H2O systems (X = Se, Te, Po).
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Affiliation(s)
- Małgorzata Olejniczak
- Université de Lille
- CNRS
- UMR 8523 – PhLAM – Physique des Lasers
- Atomes et Molécules
- F-59000 Lille
| | - Radovan Bast
- High Performance Computing Group
- UiT The Arctic University of Norway
- N-9037 Tromsø
- Norway
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Aucar IA, Gomez SS, Giribet CG, Aucar GA. Role of Spin-Dependent Terms in the Relationship among Nuclear Spin-Rotation and NMR Magnetic Shielding Tensors. J Phys Chem Lett 2016; 7:5188-5192. [PMID: 27973906 DOI: 10.1021/acs.jpclett.6b02361] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
The broadly accepted procedure to obtain the experimental absolute scale of NMR magnetic shieldings, σ, is well-known for nonheavy atom-containing molecules. It was uncovered more than 40 years ago by the works of Ramsey and Flygare. They found a quite accurate relationship among σ and the nuclear spin-rotation constants. Its relativistic extension was very recently proposed, although it has an intrinsic weakness because a new SO-S two-component term needs to be considered. We show how to overcome this problem. We found that (νYS - νYatom,S) generalizes the SO-S term, where νYS = ⟨⟨[((r - rY) × α)/(|r - rY|3)]; S(4)⟩⟩, r - rY is the electron position with respect to the position of nucleus Y, and S(4) is the four-component total electron spin. When including this new term, one finds that the best of our relativistic Flygare-like models fits quite well with the results of the most accurate method available at the moment. We also show that the difference among the parallel component of σ(Xe) in XeF2 and σ(Xe) of the free atom is almost completely described by that new term.
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Affiliation(s)
- I Agustín Aucar
- Instituto de Modelado e Innovación Tecnológica, CONICET, and Departamento de Física, FCENA-UNNE, Avda. Libertad 5460, W3404AAS Corrientes, Argentina
| | - Sergio S Gomez
- Instituto de Modelado e Innovación Tecnológica, CONICET, and Departamento de Física, FCENA-UNNE, Avda. Libertad 5460, W3404AAS Corrientes, Argentina
| | - Claudia G Giribet
- Instituto de Fı́sica de Buenos Aires, CONICET, and Departamento de Fı́sica, FCEN-UBA, Ciudad Universitaria, C1428EGA Buenos Aires, Argentina
| | - Gustavo A Aucar
- Instituto de Modelado e Innovación Tecnológica, CONICET, and Departamento de Física, FCENA-UNNE, Avda. Libertad 5460, W3404AAS Corrientes, Argentina
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Pandey KK. Relativistic DFT calculations of structure and 119 Sn NMR chemical shifts for bent M Sn C bonding in Power’s metallostannylenes of chromium, molybdenum, tungsten and iron and diaryl stannylenes. J Organomet Chem 2016. [DOI: 10.1016/j.jorganchem.2016.05.006] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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Alkan F, Holmes ST, Iuliucci RJ, Mueller KT, Dybowski C. Spin-orbit effects on the (119)Sn magnetic-shielding tensor in solids: a ZORA/DFT investigation. Phys Chem Chem Phys 2016; 18:18914-22. [PMID: 27354312 DOI: 10.1039/c6cp03807g] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Periodic-boundary and cluster calculations of the magnetic-shielding tensors of (119)Sn sites in various co-ordination and stereochemical environments are reported. The results indicate a significant difference between the predicted NMR chemical shifts for tin(ii) sites that exhibit stereochemically-active lone pairs and tin(iv) sites that do not have stereochemically-active lone pairs. The predicted magnetic shieldings determined either with the cluster model treated with the ZORA/Scalar Hamiltonian or with the GIPAW formalism are dependent on the oxidation state and the co-ordination geometry of the tin atom. The inclusion of relativistic effects at the spin-orbit level removes systematic differences in computed magnetic-shielding parameters between tin sites of differing stereochemistries, and brings computed NMR shielding parameters into significant agreement with experimentally-determined chemical-shift principal values. Slight improvement in agreement with experiment is noted in calculations using hybrid exchange-correlation functionals.
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Affiliation(s)
- Fahri Alkan
- Department of Chemistry and Biochemistry, University of Delaware, Newark, DE 19716, USA.
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Abstract
Relativistic effects are important for the accurate evaluation of the observables of nuclear magnetic resonance (NMR) spectroscopy, the nuclear magnetic shielding and the indirect spin–spin coupling tensors. Some of the most notable relativistic effects, in particular for light elements in the vicinity of heavy nuclei, are due to spin–orbit effects, an effect difficult to evaluate when starting from a non-relativistic wavefunction. Two- and four-component relativistic methods include spin–orbit effects variationally, and the recent improvements in the computational efficiency of these methods open new opportunities for accurate calculations of NMR parameters also for molecules with heavy elements. We here present an overview of the different approximations that have been introduced for calculating relativistic effects with two- and four-component methods and how these methods can be used to calculate the NMR parameters. We will also give some examples of systems that have been studied computationally with two- and four-component relativistic methods and discuss the importance of relativistic effects on the shielding and indirect spin–spin coupling constants.
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Affiliation(s)
- Michal Repisky
- Centre for Theoretical and Computational Chemistry (CTCC), Department of Chemistry UiT The Arctic University of Norway N-9037 Tromsø Norway
| | - Stanislav Komorovsky
- Centre for Theoretical and Computational Chemistry (CTCC), Department of Chemistry UiT The Arctic University of Norway N-9037 Tromsø Norway
| | - Radovan Bast
- Centre for Theoretical and Computational Chemistry (CTCC), Department of Chemistry UiT The Arctic University of Norway N-9037 Tromsø Norway
| | - Kenneth Ruud
- Centre for Theoretical and Computational Chemistry (CTCC), Department of Chemistry UiT The Arctic University of Norway N-9037 Tromsø Norway
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Demissie TB. Theoretical analysis of NMR shieldings in XSe and XTe (X = Si, Ge, Sn and Pb): the spin-rotation constant saga. Phys Chem Chem Phys 2016; 18:3112-23. [DOI: 10.1039/c5cp07025b] [Citation(s) in RCA: 5] [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: 11/21/2022]
Abstract
How the electronic contribution to the spin-rotation constant is close to the paramagnetic contribution of the NMR absolute shielding constant?
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Affiliation(s)
- Taye Beyene Demissie
- Centre for Theoretical and Computational Chemistry
- Department of Chemistry
- UiT The Arctic University of Norway
- N-9037 Tromsø
- Norway
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Aucar IA, Gomez SS, Giribet CG, Aucar GA. Toward an absolute NMR shielding scale using the spin-rotation tensor within a relativistic framework. Phys Chem Chem Phys 2016; 18:23572-86. [DOI: 10.1039/c6cp03355e] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
How can one extend Flygare's rule to the relativistic framework? Three models are proposed here. The best of them shows that σ is related with the spin-rotation tensor, the atomic shielding and a new term coined as σSO-S.
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Affiliation(s)
- I. Agustín Aucar
- Instituto de Modelado e Innovación Tecnológica
- CONICET
- and Departamento de Física – Facultad de Ciencias Exactas y Naturales
- UNNE
- Corrientes
| | - Sergio S. Gomez
- Instituto de Modelado e Innovación Tecnológica
- CONICET
- and Departamento de Física – Facultad de Ciencias Exactas y Naturales
- UNNE
- Corrientes
| | - Claudia G. Giribet
- Instituto de Física de Buenos Aires
- CONICET
- and Departamento de Física – Facultad de Ciencias Exactas y Naturales
- UBA
- Buenos Aires
| | - Gustavo A. Aucar
- Instituto de Modelado e Innovación Tecnológica
- CONICET
- and Departamento de Física – Facultad de Ciencias Exactas y Naturales
- UNNE
- Corrientes
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Abstract
Abstract
Any quantum mechanical calculation on electronic structure ought to choose first an appropriate Hamiltonian H and then an Ansatz for parameterizing the wave function Ψ, from which the desired energy/property E(λ) can finally be calculated. Therefore, the very first question is: what is the most accurate many-electron Hamiltonian H? It is shown that such a Hamiltonian i.e. effective quantum electrodynamics (eQED) Hamiltonian, can be obtained naturally by incorporating properly the charge conjugation symmetry when normal ordering the second quantized fermion operators. Taking this eQED Hamiltonian as the basis, various approximate relativistic many-electron Hamiltonians can be obtained based entirely on physical arguments. All these Hamiltonians together form a complete and continuous ‘Hamiltonian ladder’, from which one can pick up the right one according to the target physics and accuracy. As for the many-electron wave function Ψ, the most intriguing questions are as follows. (i) How to do relativistic explicit correlation? (ii) How to handle strong correlation? Both general principles and practical strategies are outlined here to handle these issues. Among the electronic properties E(λ) that sample the electronic wave function nearby the nuclear region, nuclear magnetic resonance (NMR) shielding and nuclear spin-rotation (NSR) coupling constant are especially challenging: they require body-fixed molecular Hamiltonians that treat both the electrons and nuclei as relativistic quantum particles. Nevertheless, they have been formulated rigorously. In particular, a very robust ‘relativistic mapping’ between the two properties has been established, which can translate experimentally measured NSR coupling constants to very accurate absolute NMR shielding scales that otherwise cannot be obtained experimentally. Since the most general and fundamental issues pertinent to all the three components of the quantum mechanical equation HΨ = EΨ (i.e. Hamiltonian H, wave function Ψ, and energy/property E(λ)) have fully been understood, the big picture of relativistic molecular quantum mechanics can now be regarded as established.
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Affiliation(s)
- Wenjian Liu
- Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, State Key Laboratory of Rare Earth Materials Chemistry and Applications, College of Chemistry and Molecular Engineering, and Center for Computational Science and Engineering, Peking University, Beijing 100871, China
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Faucher A, Terskikh VV, Ye E, Bernard GM, Wasylishen RE. Solid-State 87Sr NMR Spectroscopy at Natural Abundance and High Magnetic Field Strength. J Phys Chem A 2015; 119:11847-61. [DOI: 10.1021/acs.jpca.5b09392] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Alexandra Faucher
- Department
of Chemistry, Gunning-Lemieux Chemistry Centre, University of Alberta, Edmonton, AB, Canada T6G 2G2
| | - Victor V. Terskikh
- Department
of Chemistry, University of Ottawa, Ottawa, ON, Canada K1N 6N5
| | - Eric Ye
- Department
of Chemistry, University of Ottawa, Ottawa, ON, Canada K1N 6N5
| | - Guy M. Bernard
- Department
of Chemistry, Gunning-Lemieux Chemistry Centre, University of Alberta, Edmonton, AB, Canada T6G 2G2
| | - Roderick E. Wasylishen
- Department
of Chemistry, Gunning-Lemieux Chemistry Centre, University of Alberta, Edmonton, AB, Canada T6G 2G2
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Demissie TB, Jaszuński M, Komorovsky S, Repisky M, Ruud K. Absolute NMR shielding scales and nuclear spin–rotation constants in 175LuX and 197AuX (X = 19F, 35Cl, 79Br and 127I). J Chem Phys 2015; 143:164311. [DOI: 10.1063/1.4934533] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.8] [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)
- Taye B. Demissie
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, UiT The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Michał Jaszuński
- Institute of Organic Chemistry, Polish Academy of Sciences, Kasprzaka 44, 01 224 Warszawa, Poland
| | - Stanislav Komorovsky
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, UiT The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Michal Repisky
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, UiT The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Kenneth Ruud
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, UiT The Arctic University of Norway, N-9037 Tromsø, Norway
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Komorovsky S, Repisky M, Malkin E, Demissie TB, Ruud K. Four-Component Relativistic Density-Functional Theory Calculations of Nuclear Spin–Rotation Constants: Relativistic Effects in p-Block Hydrides. J Chem Theory Comput 2015; 11:3729-39. [DOI: 10.1021/acs.jctc.5b00276] [Citation(s) in RCA: 30] [Impact Index Per Article: 3.3] [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)
- Stanislav Komorovsky
- Department of Chemistry,
Centre for Theoretical and Computational Chemistry, UiT The Arctic University of Norway, 9037 Tromsø, Norway
| | - Michal Repisky
- Department of Chemistry,
Centre for Theoretical and Computational Chemistry, UiT The Arctic University of Norway, 9037 Tromsø, Norway
| | - Elena Malkin
- Department of Chemistry,
Centre for Theoretical and Computational Chemistry, UiT The Arctic University of Norway, 9037 Tromsø, Norway
| | - Taye B. Demissie
- Department of Chemistry,
Centre for Theoretical and Computational Chemistry, UiT The Arctic University of Norway, 9037 Tromsø, Norway
| | - Kenneth Ruud
- Department of Chemistry,
Centre for Theoretical and Computational Chemistry, UiT The Arctic University of Norway, 9037 Tromsø, Norway
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Komorovsky S, Repisky M, Malkin E, Ruud K, Gauss J. Communication: The absolute shielding scales of oxygen and sulfur revisited. J Chem Phys 2015; 142:091102. [DOI: 10.1063/1.4913634] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.4] [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)
- Stanislav Komorovsky
- Centre for Theoretical and Computational Chemistry, University of Tromsø — The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Michal Repisky
- Centre for Theoretical and Computational Chemistry, University of Tromsø — The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Elena Malkin
- Centre for Theoretical and Computational Chemistry, University of Tromsø — The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Kenneth Ruud
- Centre for Theoretical and Computational Chemistry, University of Tromsø — The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Jürgen Gauss
- Institut für Physikalische Chemie, Johannes Gutenberg-Universität Mainz, Duesbergweg 10-14, D-55128 Mainz, Germany
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33
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Matczak P, Wojtulewski S. Performance of Møller-Plesset second-order perturbation theory and density functional theory in predicting the interaction between stannylenes and aromatic molecules. J Mol Model 2015; 21:41. [PMID: 25677452 PMCID: PMC4326664 DOI: 10.1007/s00894-015-2589-1] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/31/2014] [Accepted: 01/26/2015] [Indexed: 11/21/2022]
Abstract
The performances of Møller-Plesset second-order perturbation theory (MP2) and density functional theory (DFT) have been assessed for the purposes of investigating the interaction between stannylenes and aromatic molecules. The complexes between SnX2 (where X = H, F, Cl, Br, and I) and benzene or pyridine are considered. Structural and energetic properties of such complexes are calculated using six MP2-type and 14 DFT methods. The assessment of the above-mentioned methods is based on the comparison of the structures and interaction energies predicted by these methods with reference computational data. A very detailed analysis of the performances of the MP2-type and DFT methods is carried out for two complexes, namely SnH2-benzene and SnH2-pyridine. Of the MP2-type methods, the reference structure of SnH2-benzene is reproduced best by SOS-MP2, whereas SCS-MP2 is capable of mimicking the reference structure of SnH2-pyridine with the greatest accuracy. The latter method performs best in predicting the interaction energy between SnH2 and benzene or pyridine. Among the DFT methods, ωB97X provides the structures and interaction energies of the SnH2-benzene and SnH2-pyridine complexes with good accuracy. However, this density functional is not as effective in reproducing the reference data for the two complexes as the best performing MP2-type methods. Next, the DFT methods are evaluated using the full test set of SnX2-benzene and SnX2-pyridine complexes. It is found that the range-separated hybrid or dispersion-corrected density functionals should be used for describing the interaction in such complexes with reasonable accuracy.
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Affiliation(s)
- Piotr Matczak
- Department of Theoretical and Structural Chemistry, Faculty of Chemistry, University of Łódź, Pomorska 163/165, 90-236, Lodz, Poland,
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Affiliation(s)
- Taye B. Demissie
- Department of Chemistry, Centre for Theoretical and Computational Chemistry, UiT The Arctic University of Norway, Tromsø, Norway
| | - Michał Jaszuński
- Institute of Organic Chemistry, Polish Academy of Sciences, Warszawa, Poland
| | - Elena Malkin
- Department of Chemistry, Centre for Theoretical and Computational Chemistry, UiT The Arctic University of Norway, Tromsø, Norway
| | - Stanislav Komorovský
- Department of Chemistry, Centre for Theoretical and Computational Chemistry, UiT The Arctic University of Norway, Tromsø, Norway
| | - Kenneth Ruud
- Department of Chemistry, Centre for Theoretical and Computational Chemistry, UiT The Arctic University of Norway, Tromsø, Norway
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Vícha J, Novotný J, Straka M, Repisky M, Ruud K, Komorovsky S, Marek R. Structure, solvent, and relativistic effects on the NMR chemical shifts in square-planar transition-metal complexes: assessment of DFT approaches. Phys Chem Chem Phys 2015; 17:24944-55. [DOI: 10.1039/c5cp04214c] [Citation(s) in RCA: 68] [Impact Index Per Article: 7.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/28/2023]
Abstract
The role of various factors (geometry, solvent, relativistic treatment, functional) influencing the relativistic NMR chemical shift calculations for square-planar transition-metal complexes.
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Affiliation(s)
- Jan Vícha
- CEITEC – Central European Institute of Technology
- Masaryk University
- CZ-62500 Brno
- Czech Republic
- Centre of Polymer Systems
| | - Jan Novotný
- CEITEC – Central European Institute of Technology
- Masaryk University
- CZ-62500 Brno
- Czech Republic
| | - Michal Straka
- CEITEC – Central European Institute of Technology
- Masaryk University
- CZ-62500 Brno
- Czech Republic
- Institute of Organic Chemistry and Biochemistry
| | - Michal Repisky
- Centre for Theoretical and Computational Chemistry
- Department of Chemistry
- UiT – The Arctic University of Norway
- N-9037 Tromsø
- Norway
| | - Kenneth Ruud
- Centre for Theoretical and Computational Chemistry
- Department of Chemistry
- UiT – The Arctic University of Norway
- N-9037 Tromsø
- Norway
| | - Stanislav Komorovsky
- Centre for Theoretical and Computational Chemistry
- Department of Chemistry
- UiT – The Arctic University of Norway
- N-9037 Tromsø
- Norway
| | - Radek Marek
- CEITEC – Central European Institute of Technology
- Masaryk University
- CZ-62500 Brno
- Czech Republic
- Department of Chemistry
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Affiliation(s)
- I. Agustín Aucar
- Institute for Modeling and Technological Innovation, IMIT (CONICET-UNNE) and Faculty of Exact and Natural Sciences, Northeastern University of Argentina, Avenida Libertad 5400, W3404AAS Corrientes, Argentina
| | - Sergio S. Gomez
- Institute for Modeling and Technological Innovation, IMIT (CONICET-UNNE) and Faculty of Exact and Natural Sciences, Northeastern University of Argentina, Avenida Libertad 5400, W3404AAS Corrientes, Argentina
| | - Claudia G. Giribet
- Physics Department, Faculty of Exact and Natural Sciences, University of Buenos Aires and IFIBA CONICET, Ciudad Universitaria, Pab. I, 1428 Buenos Aires, Argentina
| | - Martín C. Ruiz de Azúa
- Physics Department, Faculty of Exact and Natural Sciences, University of Buenos Aires and IFIBA CONICET, Ciudad Universitaria, Pab. I, 1428 Buenos Aires, Argentina
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37
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Xiao Y, Zhang Y, Liu W. Relativistic theory of nuclear spin-rotation tensor with kinetically balanced rotational London orbitals. J Chem Phys 2014; 141:164110. [DOI: 10.1063/1.4898631] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.8] [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)
- Yunlong Xiao
- Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, State Key Laboratory of Rare Earth Materials Chemistry and Applications, College of Chemistry and Molecular Engineering, and Center for Computational Science and Engineering, Peking University, Beijing 100871, People's Republic of China
| | - Yong Zhang
- Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, State Key Laboratory of Rare Earth Materials Chemistry and Applications, College of Chemistry and Molecular Engineering, and Center for Computational Science and Engineering, Peking University, Beijing 100871, People's Republic of China
| | - Wenjian Liu
- Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, State Key Laboratory of Rare Earth Materials Chemistry and Applications, College of Chemistry and Molecular Engineering, and Center for Computational Science and Engineering, Peking University, Beijing 100871, People's Republic of China
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38
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Abstract
Accurate spin-rotation and absolute shielding constants in a series of XF molecules (X = (11)B, (27)Al, (69)Ga, (115)In, and (205)Tl) determined using high-level ab initio coupled-cluster and four-component relativistic density-functional theory (DFT) calculations are presented. The accuracy of the results is established by comparing the relativistically and vibrationally corrected calculated values with available experimental data; for spin-rotation and shielding constants for which no experimental data exist, we provide new and reliable values. For both properties, our results can be considered as reference values against which more approximate quantum-chemical methods can be benchmarked.
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Affiliation(s)
- Michał Jaszuński
- Institute of Organic Chemistry, Polish Academy of Sciences , Kasprzaka 44, 01-224 Warsaw, Poland
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Maldonado AF, Aucar GA. Relativistic and electron-correlation effects on the nuclear magnetic resonance shieldings of molecules containing tin and lead atoms. J Phys Chem A 2014; 118:7863-75. [PMID: 25110942 DOI: 10.1021/jp502543m] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The reference values for NMR magnetic shieldings, σ(ref), are of the highest importance when theoretical analysis of chemical shifts are envisaged. The fact that the nonrelativistically valid relationship among spin-rotation constants and magnetic shieldings is not any longer valid for heavy atoms requires that the search for σ(ref) for such atoms needs new strategies to follow. We present here results of σ(ref) that were obtained by applying our own simple procedure which mixes accurate experimental chemical shifts (δ) and theoretical magnetic shieldings (σ). We calculated σ(Sn) and σ(Pb) in a family of heavy-halogen-containing molecules. We found out that σ(ref)[Sn;Sn(CH3)4] in gas phase should be close to 3864.11 ± 20.05 ppm (0.5%). For Pb atom, σ(ref)[Pb;Pb(CH3)4] should be close to 14475.1 ± 500.7 ppm. Such theoretical values correspond to calculations with the relativistic polarization propagator method, RelPPA, at the RPA level of approach. They are closer to experimental values as compared to those obtained applying few different functionals such as PBE0, B3LYP, BLYP, BP86, KT2, and KT3 of the density functional theory, DFT. We studied tin and lead shieldings of the XY(4-n)Z(n) (X = Sn, Pb; Y, Z = H, F, Cl, Br, I) and PbH(4-n)I(n) (n = 0, 1, 2, 3, 4) family of compounds with four-component functionals as implemented in the DIRAC code. For these systems results of calculations with RelPPA-RPA are more reliable than DFT ones. We argue about why those DFT functionals must be modified in order to obtain more accurate results of NMR magnetic shieldings within the relativistic regime: first, there is a dependence among both electron-correlation and relativistic effects that should be introduced in some way in the functionals; and second, the DIRAC code uses standard nonrelativistic functionals and the functionals B3LYP and PBE0 were parametrized only with data taken from light elements. It can explain why they are not able to properly introduce relativistic effects on nuclear magnetic shieldings. We finally show that in the analysis of magnetic shieldings for the family of compounds mentioned above, one must consider the newest and so-called heavy-atom effect on vicinal heavy atoms, HAVHA. Such effects are among the most important relativistic effects in these kind of compounds.
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Affiliation(s)
- Alejandro F Maldonado
- Physics Department, Natural and Exact Science Faculty, Northeastern University of Argentina and Institute of Modelling and Innovation on Technology, IMIT , 3400 Corrientes, Argentina
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40
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Loibl S, Schütz M. Magnetizability and rotational g tensors for density fitted local second-order Møller-Plesset perturbation theory using gauge-including atomic orbitals. J Chem Phys 2014; 141:024108. [DOI: 10.1063/1.4884959] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Stefan Loibl
- Institute of Physical and Theoretical Chemistry, University of Regensburg, Universitätsstraße 31, D-93040 Regensburg, Germany
| | - Martin Schütz
- Institute of Physical and Theoretical Chemistry, University of Regensburg, Universitätsstraße 31, D-93040 Regensburg, Germany
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41
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Ruud K, Demissie TB, Jaszuński M. Ab initio and relativistic DFT study of spin–rotation and NMR shielding constants in XF6 molecules, X = S, Se, Te, Mo, and W. J Chem Phys 2014; 140:194308. [DOI: 10.1063/1.4875696] [Citation(s) in RCA: 30] [Impact Index Per Article: 3.0] [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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42
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Autschbach J. Relativistic calculations of magnetic resonance parameters: background and some recent developments. Philos Trans A Math Phys Eng Sci 2014; 372:20120489. [PMID: 24516182 DOI: 10.1098/rsta.2012.0489] [Citation(s) in RCA: 51] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
This article outlines some basic concepts of relativistic quantum chemistry and recent developments of relativistic methods for the calculation of the molecular properties that define the basic parameters of magnetic resonance spectroscopic techniques, i.e. nuclear magnetic resonance shielding, indirect nuclear spin-spin coupling and electric field gradients (nuclear quadrupole coupling), as well as with electron paramagnetic resonance g-factors and electron-nucleus hyperfine coupling. Density functional theory (DFT) has been very successful in molecular property calculations, despite a number of problems related to approximations in the functionals. In particular, for heavy-element systems, the large electron count and the need for a relativistic treatment often render the application of correlated wave function ab initio methods impracticable. Selected applications of DFT in relativistic calculation of magnetic resonance parameters are reviewed.
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Affiliation(s)
- Jochen Autschbach
- Department of Chemistry, State University of New York at Buffalo, , Buffalo, NY 14260-3000, USA
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Abstract
The recently proposed relativistic mapping between nuclear magnetic resonance (NMR) shielding and nuclear spin-rotation (NSR) coupling tensors [J. Chem. Phys. 2013, 138, 134104] is employed to establish new experimental (more precisely, experimentally derived) absolute shielding constants for H and X in HX (X = F, Cl, Br, and I). The results are much more accurate than the old "experimental" values that were based on the well-known nonrelativistic mapping. The relativistic mapping is very robust in the sense that it is rather insensitive to the quality of one-particle basis sets and the treatment of electron correlation. Relativistic effects in the NSR coupling constants are also elucidated in depth.
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Affiliation(s)
- Yunlong Xiao
- Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, State Key Laboratory of Rare Earth Materials Chemistry and Applications, College of Chemistry and Molecular Engineering, and Center for Computational Science and Engineering, Peking University , Beijing 100871, People's Republic of China
| | - Yong Zhang
- Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, State Key Laboratory of Rare Earth Materials Chemistry and Applications, College of Chemistry and Molecular Engineering, and Center for Computational Science and Engineering, Peking University , Beijing 100871, People's Republic of China
| | - Wenjian Liu
- Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, State Key Laboratory of Rare Earth Materials Chemistry and Applications, College of Chemistry and Molecular Engineering, and Center for Computational Science and Engineering, Peking University , Beijing 100871, People's Republic of China
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Helgaker T, Gauss J, Cazzoli G, Puzzarini C. 33S hyperfine interactions in H2S and SO2 and revision of the sulfur nuclear magnetic shielding scale. J Chem Phys 2013; 139:244308. [PMID: 24387371 DOI: 10.1063/1.4849177] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.5] [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] Open
Abstract
Using the Lamb-dip technique, the hyperfine structure in the rotational spectra of H2(33)S and (33)SO2 has been resolved and the corresponding parameters--that is, the sulfur quadrupole-coupling and spin-rotation tensors--were determined. The experimental parameters are in good agreement with results from high-level coupled-cluster calculations, provided that up to quadruple excitations are considered in the cluster operator, sufficiently large basis sets are used, and vibrational corrections are accounted for. The (33)S spin-rotation tensor for H2S has been used to establish a new sulfur nuclear magnetic shielding scale, combining the paramagnetic part of the shielding as obtained from the spin-rotation tensor with a calculated value for the diamagnetic part as well as computed vibrational and temperature corrections. The value of 716(5) ppm obtained in this way for the sulfur shielding of H2S is in good agreement with results from high-accuracy quantum-chemical calculations but leads to a shielding scale that is about 28 ppm lower than the one suggested previously in the literature, based on the (33)S spin-rotation constant of OCS.
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Affiliation(s)
- Trygve Helgaker
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, University of Oslo, N-0315 Oslo, Norway
| | - Jürgen Gauss
- Institut für Physikalische Chemie, Universität Mainz, D-55099 Mainz, Germany
| | - Gabriele Cazzoli
- Dipartimento di Chimica "Giacomo Ciamician," Università di Bologna, Via Selmi 2, I-40126 Bologna, Italy
| | - Cristina Puzzarini
- Dipartimento di Chimica "Giacomo Ciamician," Università di Bologna, Via Selmi 2, I-40126 Bologna, Italy
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Jaszuński M, Repisky M, Demissie TB, Komorovsky S, Malkin E, Ruud K, Garbacz P, Jackowski K, Makulski W. Spin-rotation and NMR shielding constants in HCl. J Chem Phys 2013; 139:234302. [DOI: 10.1063/1.4840295] [Citation(s) in RCA: 20] [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: 11/15/2022] Open
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Wang F, Steimle TC, Adam AG, Cheng L, Stanton JF. The pure rotational spectrum of ruthenium monocarbide, RuC, and relativisticab initiopredictions. J Chem Phys 2013; 139:174318. [DOI: 10.1063/1.4828458] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [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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Aucar IA, Gómez SS, Giribet CG, Ruiz de Azúa MC. Breit interaction effects in relativistic theory of the nuclear spin-rotation tensor. J Chem Phys 2013; 139:094112. [DOI: 10.1063/1.4819958] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.0] [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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Demissie TB, Repisky M, Komorovsky S, Isaksson J, Svendsen JS, Dodziuk H, Ruud K. Four-component relativistic chemical shift calculations of halogenated organic compounds. J PHYS ORG CHEM 2013. [DOI: 10.1002/poc.3157] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
Affiliation(s)
- Taye B. Demissie
- Institute of Physical Chemistry; Polish Academy of Sciences; Kasprzaka 44/52 Warsaw Poland
- Centre for Theoretical and Computational Chemistry, Department of Chemistry; University of Tromsø; N-9037 Tromsø Norway
| | - Michal Repisky
- Centre for Theoretical and Computational Chemistry, Department of Chemistry; University of Tromsø; N-9037 Tromsø Norway
| | - Stanislav Komorovsky
- Centre for Theoretical and Computational Chemistry, Department of Chemistry; University of Tromsø; N-9037 Tromsø Norway
| | - Johan Isaksson
- Centre for Research-based Innovation on Marine Bioactivities and Drug Discovery (MABCENT); University of Tromsø; N-9037 Tromsø Norway
| | - John S. Svendsen
- Centre for Research-based Innovation on Marine Bioactivities and Drug Discovery (MABCENT); University of Tromsø; N-9037 Tromsø Norway
| | - Helena Dodziuk
- Institute of Physical Chemistry; Polish Academy of Sciences; Kasprzaka 44/52 Warsaw Poland
| | - Kenneth Ruud
- Centre for Theoretical and Computational Chemistry, Department of Chemistry; University of Tromsø; N-9037 Tromsø Norway
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Affiliation(s)
- Michał Jaszuński
- a Institute of Organic Chemistry , Polish Academy of Sciences , Warszawa , 01-224 , Kasprzaka 44, Poland
| | - Małgorzata Olejniczak
- b Faculty of Chemistry , University of Warsaw , Pasteura 1, Laboratoire de Chimie et Physique Quantiques (UMR 5626), CNRS and Université de Toulouse 3 (Paul Sabatier), 118 Route de Narbonne, F-31062 Toulouse, France, Warsaw , 02-093 , Poland
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