1
|
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] [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.
Collapse
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
| |
Collapse
|
2
|
Franzke YJ. Reducing Exact Two-Component Theory for NMR Couplings to a One-Component Approach: Efficiency and Accuracy. J Chem Theory Comput 2023; 19:2010-2028. [PMID: 36939092 DOI: 10.1021/acs.jctc.2c01248] [Citation(s) in RCA: 9] [Impact Index Per Article: 9.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/21/2023]
Abstract
The self-consistent and complex spin-orbit exact two-component (X2C) formalism for NMR spin-spin coupling constants [ J. Chem. Theory Comput. 17, 2021, 3874-3994] is reduced to a scalar one-component ansatz. This way, the first-order response term can be partitioned into the Fermi-contact (FC) and spin-dipole (SD) interactions as well as the paramagnetic spin-orbit (PSO) contribution. The FC+SD terms are real and symmetric, while the PSO term is purely imaginary and antisymmetric. The relativistic one-component approach is combined with a modern density functional treatment up to local hybrid functionals including the response of the current density. Computational demands are reduced by factors of 8-24 as shown for a large tin compound consisting of 137 atoms. Limitations of the current ansatz are critically assessed for Sn, Pb, Pd, and Pt compounds, i.e. the one-component treatment is not sufficient for tin compounds featuring a few heavy halogen atoms.
Collapse
Affiliation(s)
- Yannick J Franzke
- Fachbereich Chemie, Philipps-Universität Marburg, Hans-Meerwein-Str. 4, 35032 Marburg, Germany
| |
Collapse
|
3
|
Rusakova IL, Rusakov YY, Krivdin LB. Computational 199 Hg NMR. MAGNETIC RESONANCE IN CHEMISTRY : MRC 2022; 60:929-953. [PMID: 35737297 DOI: 10.1002/mrc.5296] [Citation(s) in RCA: 8] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/14/2022] [Revised: 06/20/2022] [Accepted: 06/21/2022] [Indexed: 06/15/2023]
Abstract
Theoretical background and fundamental results dealing with the computation of mercury chemical shifts and spin-spin coupling constants are reviewed with a special emphasis on their stereochemical behavior and applications.
Collapse
Affiliation(s)
- Irina L Rusakova
- A.E. Favorsky Irkutsk Institute of Chemistry, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia
| | - Yuriy Yu Rusakov
- A.E. Favorsky Irkutsk Institute of Chemistry, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia
| | - Leonid B Krivdin
- A.E. Favorsky Irkutsk Institute of Chemistry, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia
| |
Collapse
|
4
|
Valentine AJ, Taylor LJ, Geer AM, Huke CD, Wood KE, Tovey W, Lewis W, Argent SP, Teale AM, McMaster J, Kays DL. Structural and Electronic Studies of Substituted m-Terphenyl Group 12 Complexes. Organometallics 2022; 41:1426-1433. [PMID: 36157255 PMCID: PMC9490839 DOI: 10.1021/acs.organomet.2c00156] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/30/2022] [Indexed: 12/03/2022]
Abstract
![]()
The effects of para-substitution on the structural
and electronic properties of four series of two-coordinate m-terphenyl Group 12 complexes (R-Ar#)2M (M = Zn, Cd, Hg; R = t-Bu 1–3, SiMe34–6,
Cl 7–9, CF310–12, where R-Ar# = 2,6-{2,6-Xyl}2-4-R-C6H2 and 2,6-Xyl = 2,6-Me2C6H3) have been investigated. X-ray crystallography
shows little structural variation across the series, with no significant
change in the C–M–C bond distances and angles. However,
considerable electronic differences are revealed by heteronuclear
nuclear magnetic resonance (NMR) spectroscopy; a linear correlation
is observed between the 113Cd, 199Hg, and 1H (2,6-Xyl methyl protons) NMR chemical shifts of the para-substituted complexes and the Hammett constants for
the R-substituents. Specifically, an upfield shift in the NMR signal
is observed with increasingly electron-withdrawing R-substituents.
Density functional theory (DFT) calculations are employed to attempt
to rationalize these trends.
Collapse
Affiliation(s)
- Andrew J. Valentine
- School of Chemistry, University of Nottingham, University Park, Nottingham NG7 2RD, U.K
| | - Laurence J. Taylor
- School of Chemistry, University of Nottingham, University Park, Nottingham NG7 2RD, U.K
| | - Ana M. Geer
- Departamento de Química Inorgánica, Instituto de Síntesis Química y Catálisis Homogénea (ISQCH), CSIC Universidad de Zaragoza, Pedro Cerbuna 12, 50009 Zaragoza, Spain
| | - Cameron D. Huke
- School of Chemistry, University of Nottingham, University Park, Nottingham NG7 2RD, U.K
| | - Katherine E. Wood
- School of Chemistry, University of Nottingham, University Park, Nottingham NG7 2RD, U.K
| | - Will Tovey
- School of Chemistry, University of Nottingham, University Park, Nottingham NG7 2RD, U.K
| | - William Lewis
- School of Chemistry, The University of Sydney, F11, Eastern Avenue, Sydney, NSW 2006, Australia
| | - Stephen P. Argent
- School of Chemistry, University of Nottingham, University Park, Nottingham NG7 2RD, U.K
| | - Andrew M. Teale
- School of Chemistry, University of Nottingham, University Park, Nottingham NG7 2RD, U.K
| | - Jonathan McMaster
- School of Chemistry, University of Nottingham, University Park, Nottingham NG7 2RD, U.K
| | - Deborah L. Kays
- School of Chemistry, University of Nottingham, University Park, Nottingham NG7 2RD, U.K
| |
Collapse
|
5
|
Quantum Chemical Approaches to the Calculation of NMR Parameters: From Fundamentals to Recent Advances. MAGNETOCHEMISTRY 2022. [DOI: 10.3390/magnetochemistry8050050] [Citation(s) in RCA: 10] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/04/2023]
Abstract
Quantum chemical methods for the calculation of indirect NMR spin–spin coupling constants and chemical shifts are always in progress. They never stay the same due to permanently developing computational facilities, which open new perspectives and create new challenges every now and then. This review starts from the fundamentals of the nonrelativistic and relativistic theory of nuclear magnetic resonance parameters, and gradually moves towards the discussion of the most popular common and newly developed methodologies for quantum chemical modeling of NMR spectra.
Collapse
|
6
|
Anodic Activity of Hydrated and Anhydrous Iron (II) Oxalate in Li-Ion Batteries. CONDENSED MATTER 2022. [DOI: 10.3390/condmat7010008] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/04/2022]
Abstract
We discuss the applicability of the naturally occurring compound Ferrous Oxalate Dihydrate (FOD) (FeC2O4·2H2O) as an anode material in Li-ion batteries. Using first-principles modeling, we evaluate the electrochemical activity of FOD and demonstrate how its structural water content affects the intercalation reaction and contributes to its performance. We show that both Li0 and Li+ intercalation in FOD yields similar results. Our analysis indicates that fully dehydrated ferrous oxalate is a more promising anodic material with higher electrochemical stability: it carries 20% higher theoretical Li storage capacity and a lower voltage (0.68 V at the PBE/cc-pVDZ level), compared to its hydrated (2.29 V) or partially hydrated (1.43 V) counterparts.
Collapse
|
7
|
Franzke YJ, Holzer C, Mack F. NMR Coupling Constants Based on the Bethe-Salpeter Equation in the GW Approximation. J Chem Theory Comput 2022; 18:1030-1045. [PMID: 34981925 DOI: 10.1021/acs.jctc.1c00999] [Citation(s) in RCA: 15] [Impact Index Per Article: 7.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
We present the first steps to extend the Green's function GW method and the Bethe-Salpeter equation (BSE) to molecular response properties such as nuclear magnetic resonance (NMR) indirect spin-spin coupling constants. We discuss both a nonrelativistic one-component and a quasi-relativistic two-component formalism. The latter describes scalar-relativistic and spin-orbit effects and allows us to study heavy-element systems with reasonable accuracy. Efficiency is maintained by the application of the resolution of the identity approximation throughout. The performance is demonstrated using conventional central processing units (CPUs) and modern graphics processing units (GPUs) for molecules involving several thousand basis functions. Our results show that a large amount of Hartree-Fock exchange is vital to provide a sufficient Kohn-Sham starting point to compute the GW quasi-particle energies. As the GW-BSE approach is generally less accurate for triplet excitations or related properties such as the Fermi-contact interaction, the admixture of the Kohn-Sham correlation kernel through the contracted BSE (cBSE) method improves the results for NMR coupling constants. This leads to remarkable results when combined with the eigenvalue-only self-consistent variant (evGW) and Becke's half and half functional (BH&HLYP) or the CAM-QTP family. The developed methodology is used to calculate the Karplus curve of tin molecules, illustrating its applicability to extended chemically relevant molecules. Here, the GW-cBSE method improves upon the chosen BH&HLYP Kohn-Sham starting points.
Collapse
Affiliation(s)
- Yannick J Franzke
- Fachbereich Chemie, Philipps-Universität Marburg, 35032 Marburg, Germany
| | - Christof Holzer
- Institute of Theoretical Solid State Physics, Karlsruhe Institute of Technology (KIT), 76131 Karlsruhe, Germany
| | - Fabian Mack
- Institute of Physical Chemistry, Karlsruhe Institute of Technology (KIT), 76131 Karlsruhe, Germany
| |
Collapse
|
8
|
Franzke YJ, Yu JM. Hyperfine Coupling Constants in Local Exact Two-Component Theory. J Chem Theory Comput 2021; 18:323-343. [PMID: 34928142 DOI: 10.1021/acs.jctc.1c01027] [Citation(s) in RCA: 13] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
We present a highly efficient implementation of the electron-nucleus hyperfine coupling matrix within the one-electron exact two-component (X2C) theory. The complete derivative of the X2C Hamiltonian is formed, that is, the derivatives of the unitary decoupling transformation are considered. This requires the solution of the response and Sylvester equations, consequently increasing the computational costs. Therefore, we apply the diagonal local approximation to the unitary decoupling transformation (DLU). The finite nucleus model is employed for both the scalar potential and the vector potential. Two-electron picture-change effects are modeled with the (modified) screened nuclear spin-orbit approach. Our implementation is fully integral direct and OpenMP-parallelized. An extensive benchmark study regarding the Hamiltonian, the basis set, and the density functional approximation is carried out for a set of 12-17 transition-metal compounds. The error introduced by DLU is negligible, and the DLU-X2C Hamiltonian accurately reproduces its four-component "fully" relativistic parent results. Functionals with a large amount of Hartree-Fock exchange such as CAM-QTP-02 and ωB97X-D are generally favorable. The pure density functional r2SCAN performs remarkably and even outperforms the common hybrid functionals TPSSh and CAM-B3LYP. Fully uncontracted basis sets or contracted quadruple-ζ bases are required for accurate results. The capability of our implementation is demonstrated for [Pt(C6Cl5)4]- with more than 4700 primitive basis functions and four rare-earth single-molecule magnets: [La(OAr*)3]-, [Lu(NR2)3]-, [Lu(OAr*)3]-, and [TbPc2]-. Here, the results with the spin-orbit DLU-X2C Hamiltonian are in an excellent agreement with the experimental findings of all Pt, La, Lu, and Tb molecules.
Collapse
Affiliation(s)
- Yannick J Franzke
- Fachbereich Chemie, Philipps-Universität Marburg, Hans-Meerwein-Straße 4, 35032 Marburg, Germany
| | - Jason M Yu
- Department of Chemistry, University of California, Irvine, 1102 Natural Sciences II, Irvine, California 92697-2025, United States
| |
Collapse
|
9
|
Gillhuber S, Franzke YJ, Weigend F. Paramagnetic NMR Shielding Tensors and Ring Currents: Efficient Implementation and Application to Heavy Element Compounds. J Phys Chem A 2021; 125:9707-9723. [PMID: 34723533 DOI: 10.1021/acs.jpca.1c07793] [Citation(s) in RCA: 13] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
We present an efficient implementation of paramagnetic NMR shielding tensors and shifts in a nonrelativistic and scalar-relativistic density functional theory framework. For the latter, we make use of the scalar exact two-component Hamiltonian in its local approximation, and generally we apply the well established (multipole-accelerated) resolution of the identity approximation and the seminumerical exchange approximation. The perturbed density matrix of a paramagnetic NMR shielding calculation is further used to study the magnetically induced current density and ring currents of open-shell systems as illustrated for [U@Bi12]3-. [U@Bi12]3- features delocalized highest occupied molecular orbitals and sustains a net diatropic ring current of ca. 18 nA/T through the Bi12 torus similar to the all-metal aromatic heavy-element cluster [Th@Bi12]4-.
Collapse
Affiliation(s)
- Sebastian Gillhuber
- Institute of Physical Chemistry, Karlsruhe Institute of Technology (KIT), 76131 Karlsruhe, Germany
| | - Yannick J Franzke
- Fachbereich Chemie, Philipps-Universität Marburg, 35032 Marburg, Germany
| | - Florian Weigend
- Fachbereich Chemie, Philipps-Universität Marburg, 35032 Marburg, Germany
| |
Collapse
|
10
|
Rusakov YY, Rusakova IL. Efficient J-oriented tin basis sets for the correlated calculations of indirect nuclear spin-spin coupling constants. MAGNETIC RESONANCE IN CHEMISTRY : MRC 2021; 59:713-722. [PMID: 33439515 DOI: 10.1002/mrc.5132] [Citation(s) in RCA: 7] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/28/2020] [Revised: 12/30/2020] [Accepted: 01/05/2021] [Indexed: 06/12/2023]
Abstract
New J-oriented tin basis sets, acvXz-J (X = 2, 3, 4), have been developed at the level of the second-order polarization propagator approximation with the coupled-cluster single and double amplitudes, SOPPA (CCSD), for the purpose of correlated calculations of indirect nuclear spin-spin coupling constants involving tin nucleus. High-quality coupled-cluster calculations of several tin-proton and tin-carbon spin-spin coupling constants, performed with one of the newly developed basis sets, namely, the acv3z-J, taking into account relativistic, solvent, and vibrational corrections showed that the acv3z-J basis set is capable to provide reliable results, as compared with the experimental data.
Collapse
Affiliation(s)
- Yuriy Yu Rusakov
- Siberian Branch of the Russian Academy of Sciences, A. E. Favorsky Irkutsk Institute of Chemistry, Irkutsk, Russian Federation
| | - Irina L Rusakova
- Siberian Branch of the Russian Academy of Sciences, A. E. Favorsky Irkutsk Institute of Chemistry, Irkutsk, Russian Federation
| |
Collapse
|
11
|
Franzke YJ, Mack F, Weigend F. NMR Indirect Spin-Spin Coupling Constants in a Modern Quasi-Relativistic Density Functional Framework. J Chem Theory Comput 2021; 17:3974-3994. [PMID: 34151571 DOI: 10.1021/acs.jctc.1c00167] [Citation(s) in RCA: 21] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
Abstract
A quasi-relativistic implementation of NMR indirect spin-spin coupling constants is presented. The exact two-component (X2C) Hamiltonian and its diagonal local approximation to the unitary decoupling transformation (DLU) are utilized together with the (modified) screened nuclear spin-orbit approach. In a restricted kinetic balance, the finite nucleus model is available for both the scalar and vector potentials. The implementation supports density functionals up to the fourth rung of Jacob's ladder, i.e., (range-separated) hybrid and local hybrid functionals based on a seminumerical ansatz. We assess the quality of our quasi-relativistic X2C approach by comparison with "fully" relativistic four-component results for small main-group molecules and alkynyl compounds. The mean absolute error introduced by the DLU scheme is less than 0.05 × 1019 T J-2 of the reduced coupling constant for the small main-group molecules and 0.5 Hz for the alkynyl compounds. Thus, the error is significantly smaller than finite nucleus size effects for heavy elements. The basis set convergence and the impact of different density functional approximations are further studied. We propose a simple scheme to develop segmented-contracted relativistic all-electron basis sets for NMR spin-spin couplings. Our implementation allows us to perform calculations of extended molecules with reasonable computational effort, which is illustrated for the 1J(119Sn, 31P) coupling constant of a low-valent tin phosphinidenide complex. The corresponding results are in good agreement with the experimental findings.
Collapse
Affiliation(s)
- Yannick J Franzke
- Fachbereich Chemie, Philipps-Universität Marburg, 35032 Marburg, Germany.,Institute of Physical Chemistry, Karlsruhe Institute of Technology (KIT), 76131 Karlsruhe, Germany
| | - Fabian Mack
- Institute of Physical Chemistry, Karlsruhe Institute of Technology (KIT), 76131 Karlsruhe, Germany
| | - Florian Weigend
- Fachbereich Chemie, Philipps-Universität Marburg, 35032 Marburg, Germany
| |
Collapse
|
12
|
Rusakova IL, Rusakov YY. Quantum chemical calculations of 77 Se and 125 Te nuclear magnetic resonance spectral parameters and their structural applications. MAGNETIC RESONANCE IN CHEMISTRY : MRC 2021; 59:359-407. [PMID: 33095923 DOI: 10.1002/mrc.5111] [Citation(s) in RCA: 10] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/12/2020] [Revised: 09/01/2020] [Accepted: 10/07/2020] [Indexed: 06/11/2023]
Abstract
An accurate quantum chemical (QC) modeling of 77 Se and 125 Te nuclear magnetic resonance (NMR) spectra is deeply involved in the NMR structural assignment for selenium and tellurium compounds that are of utmost importance both in organic and inorganic chemistry nowadays due to their huge application potential in many fields, like biology, medicine, and metallurgy. The main interest of this review is focused on the progress in QC computations of 77 Se and 125 Te NMR chemical shifts and indirect spin-spin coupling constants involving these nuclei. Different computational methodologies that have been used to simulate the NMR spectra of selenium and tellurium compounds since the middle of the 1990s are discussed with a strong emphasis on their accuracy. A special accent is placed on the calculations resorting to the relativistic methodologies, because taking into account the relativistic effects appreciably influences the precision of NMR calculations of selenium and, especially, tellurium compounds. Stereochemical applications of quantum chemical calculations of 77 Se and 125 Te NMR parameters are discussed so as to exemplify the importance of integrated approach of experimental and computational NMR techniques.
Collapse
Affiliation(s)
- Irina L Rusakova
- A. E. Favorsky Irkutsk Institute of Chemistry, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russian Federation
| | - Yuriy Yu Rusakov
- A. E. Favorsky Irkutsk Institute of Chemistry, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russian Federation
| |
Collapse
|
13
|
Jakubowska K, Pecul M. Nuclear magnetic resonance parameters in Zn2, Cd2 and Hg2 dimers: relativistic calculations. Theor Chem Acc 2021. [DOI: 10.1007/s00214-021-02720-5] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
Abstract
AbstractThe potential energy curves and the NMR properties: nuclear spin–spin coupling constants and nuclear shielding constants have been calculated for Zn2, Cd2 and Hg2 dimers using density functional theory. The calculations have been carried out using the relativistic four-component Dirac–Coulomb Hamiltonian, and, in the case of energy curves, also relativistic effective core potentials. In case of NMR parameters, the relativistic effects turned out to be critically important even for the lightest dimer, Zn2. The importance of the spin–orbit coupling depends on the internuclear distance: these effects tend to be significant for short internuclear distances.
Collapse
|
14
|
Feng R, Duignan TJ, Autschbach J. Electron-Nucleus Hyperfine Coupling Calculated from Restricted Active Space Wavefunctions and an Exact Two-Component Hamiltonian. J Chem Theory Comput 2021; 17:255-268. [PMID: 33385321 DOI: 10.1021/acs.jctc.0c01005] [Citation(s) in RCA: 10] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Exact two-component (X2C) relativistic nuclear hyperfine magnetic field operators were incorporated in X2C ab initio wavefunction calculations at the multireference restricted active space (RAS) level for calculations of nuclear hyperfine magnetic properties. Spin-orbit coupling was treated via RAS state interaction (SO-RASSI). The method was tested by calculations of electron-nucleus hyperfine coupling constants. The approach, implemented in the OpenMolcas program, overcomes a major limitation of a previous SO-RASSI implementation for hyperfine coupling that relied on nonrelativistic hyperfine operators [J. Chem. Theor. Comput. 2015, 11, 538-549] and therefore had limited applicability. Results from calculations on systems with light and heavy main group elements, transition metals, lanthanides, and one actinide complex demonstrate reasonably good agreement with experimental data, where available, as long as the active space can generate sufficient spin polarization.
Collapse
Affiliation(s)
- Rulin Feng
- Department of Chemistry, University at Buffalo, State University of New York, Buffalo, New York 14260-3000, United States
| | - Thomas J Duignan
- Department of Chemistry, University at Buffalo, State University of New York, Buffalo, New York 14260-3000, United States
| | - Jochen Autschbach
- Department of Chemistry, University at Buffalo, State University of New York, Buffalo, New York 14260-3000, United States
| |
Collapse
|
15
|
Valentine AJ, Geer AM, Taylor LJ, Teale AM, Wood KE, Williams HEL, Lewis W, Argent SP, McMaster J, Kays DL. Structural and electronic studies of substituted m-terphenyl lithium complexes. Dalton Trans 2021; 50:722-728. [DOI: 10.1039/d0dt03972a] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Spectroscopic and computational investigation of the effects of para-substituted m-terphenyl lithium complexes reveals significant electronic differences at the metal centre.
Collapse
Affiliation(s)
| | - Ana M. Geer
- Departamento de Química Inorgánica
- Instituto de Síntesis Química y Catálisis Homogénea (ISQCH)
- CSIC
- Universidad de Zaragoza
- 50009 Zaragoza
| | | | - Andrew M. Teale
- School of Chemistry
- University of Nottingham
- University Park
- Nottingham
- UK
| | - Katherine E. Wood
- School of Chemistry
- University of Nottingham
- University Park
- Nottingham
- UK
| | - Huw E. L. Williams
- Centre for Biomolecular Sciences
- University of Nottingham
- University Park
- Nottingham
- UK
| | - William Lewis
- School of Chemistry
- The University of Sydney
- Sydney
- Australia
| | - Stephen P. Argent
- School of Chemistry
- University of Nottingham
- University Park
- Nottingham
- UK
| | - Jonathan McMaster
- School of Chemistry
- University of Nottingham
- University Park
- Nottingham
- UK
| | - Deborah L. Kays
- School of Chemistry
- University of Nottingham
- University Park
- Nottingham
- UK
| |
Collapse
|
16
|
Rusakov YY, Rusakova IL. What Most Affects the Accuracy of 125Te NMR Chemical Shift Calculations. J Phys Chem A 2020; 124:6714-6725. [DOI: 10.1021/acs.jpca.0c05780] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
Affiliation(s)
- Yu. Yu. Rusakov
- A. E. Favorsky Irkutsk Institute of Chemistry, Siberian Branch of the Russian Academy of Sciences, Favorsky St. 1, 664033 Irkutsk, Russian Federation
| | - I. L. Rusakova
- A. E. Favorsky Irkutsk Institute of Chemistry, Siberian Branch of the Russian Academy of Sciences, Favorsky St. 1, 664033 Irkutsk, Russian Federation
| |
Collapse
|
17
|
Komorovsky S, Jakubowska K, Świder P, Repisky M, Jaszuński M. NMR Spin–Spin Coupling Constants Derived from Relativistic Four-Component DFT Theory—Analysis and Visualization. J Phys Chem A 2020; 124:5157-5169. [DOI: 10.1021/acs.jpca.0c02807] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Stanislav Komorovsky
- Institute of Inorganic Chemistry, Slovak Academy of Sciences, Dubravska cesta 9, Bratislava 845 36, Slovakia
| | | | - Paweł Świder
- Institute of Organic Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warszawa 01-224, Poland
| | - Michal Repisky
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, UiT − The Arctic University of Norway, Tromsø N-9037, Norway
| | - Michał Jaszuński
- Institute of Organic Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warszawa 01-224, Poland
| |
Collapse
|
18
|
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] [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
| |
Collapse
|
19
|
Nuclear Magnetic Resonance parameters of mercury atom and water molecule complex: Relativistic calculations. Chem Phys Lett 2019. [DOI: 10.1016/j.cplett.2019.136775] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
|
20
|
On the development of the exact two-component relativistic method for calculating indirect NMR spin-spin coupling constants. Chem Phys 2019. [DOI: 10.1016/j.chemphys.2018.09.039] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
|
21
|
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] [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
| |
Collapse
|
22
|
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] [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).
Collapse
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
| | | |
Collapse
|
23
|
Jaszuński M, Antušek A, Demissie TB, Komorovsky S, Repisky M, Ruud K. Indirect NMR spin–spin coupling constants in diatomic alkali halides. J Chem Phys 2016; 145:244308. [DOI: 10.1063/1.4972892] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
24
|
Giménez CA, Maldonado AF, Aucar GA. Relativistic and electron correlation effects on NMR J-coupling of Sn and Pb containing molecules. Theor Chem Acc 2016. [DOI: 10.1007/s00214-016-1952-3] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
|
25
|
Wodyński A, Malkina OL, Pecul M. The Relativistic Effects on the Carbon-Carbon Coupling Constants Mediated by a Heavy Atom. J Phys Chem A 2016; 120:5624-34. [PMID: 27177252 DOI: 10.1021/acs.jpca.5b10258] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
The (2)JCC, (3)JCC, and (4)JCC spin-spin coupling constants in the systems with a heavy atom (Cd, In, Sn, Sb, Te, Hg, Tl, Pb, Bi, and Po) in the coupling path have been calculated by means of density functional theory. The main goal was to estimate the relativistic effects on spin-spin coupling constants and to explore the factors which may influence them, including the nature of the heavy atom and carbon hybridization. The methods applied range, in order of reduced complexity, from the Dirac-Kohn-Sham (DKS) method (density functional theory with four-component Dirac-Coulomb Hamiltonian), through DFT with two- and one-component zeroth-order regular approximation (ZORA) Hamiltonians, to scalar effective core potentials (ECPs) with the nonrelativistic Hamiltonian. The use of DKS and ZORA methods leads to very similar results, and small-core ECPs of the MDF and MWB variety reproduce correctly the scalar relativistic effects. Scalar relativistic effects usually are larger than the spin-orbit coupling effects. The latter tend to influence the most the coupling constants of the sp(3)-hybridized carbon atoms and in compounds of the p-block heavy atoms. Large spin-orbit coupling contributions for the Po compounds are probably connected with the inverse of the lowest triplet excitation energy.
Collapse
Affiliation(s)
- Artur Wodyński
- Faculty of Chemistry, University of Warsaw , ul. Pasteura 1, 02-093 Warszawa, Poland
| | - Olga L Malkina
- Institute of Inorganic Chemistry, Slovak Academy of Sciences , Dubravska cesta 9, SK-84536 Bratislava, Slovak Republic.,Department of Inorganic Chemistry, Faculty of Natural Sciences, Comenius University , SK-84215 Bratislava, Slovakia
| | - Magdalena Pecul
- Faculty of Chemistry, University of Warsaw , ul. Pasteura 1, 02-093 Warszawa, Poland
| |
Collapse
|
26
|
Repisky M, Komorovsky S, Bast R, Ruud K. Relativistic Calculations of Nuclear Magnetic Resonance Parameters. GAS PHASE NMR 2016. [DOI: 10.1039/9781782623816-00267] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/28/2023]
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.
Collapse
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
| |
Collapse
|
27
|
Demissie TB, Kostenko N, Komorovsky S, Repisky M, Isaksson J, Bayer A, Ruud K. Experimental and four-component relativistic DFT studies of tungsten carbonyl complexes. J PHYS ORG CHEM 2015. [DOI: 10.1002/poc.3476] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Affiliation(s)
- Taye B. Demissie
- Centre for Theoretical and Computational Chemistry, Department of Chemistry; University of Tromsø - The Arctic University of Norway; Tromsø, N-9037 Norway
| | - Nataliya Kostenko
- Department of Chemistry; University of Tromsø - The Arctic University of Norway; Tromsø, N-9037 Norway
| | - Stanislav Komorovsky
- Centre for Theoretical and Computational Chemistry, Department of Chemistry; University of Tromsø - The Arctic University of Norway; Tromsø, N-9037 Norway
| | - Michal Repisky
- Centre for Theoretical and Computational Chemistry, Department of Chemistry; University of Tromsø - The Arctic University of Norway; Tromsø, N-9037 Norway
| | - Johan Isaksson
- Department of Chemistry; University of Tromsø - The Arctic University of Norway; Tromsø, N-9037 Norway
| | - Annette Bayer
- Department of Chemistry; University of Tromsø - The Arctic University of Norway; Tromsø, N-9037 Norway
| | - Kenneth Ruud
- Centre for Theoretical and Computational Chemistry, Department of Chemistry; University of Tromsø - The Arctic University of Norway; Tromsø, N-9037 Norway
| |
Collapse
|
28
|
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] [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
| |
Collapse
|
29
|
Korlyukov AA. Coordination compounds of tetravalent silicon, germanium and tin: the structure, chemical bonding and intermolecular interactions in them. RUSSIAN CHEMICAL REVIEWS 2015. [DOI: 10.1070/rcr4466] [Citation(s) in RCA: 30] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
|
30
|
Křístková A, Komorovsky S, Repisky M, Malkin VG, Malkina OL. Relativistic four-component calculations of indirect nuclear spin-spin couplings with efficient evaluation of the exchange-correlation response kernel. J Chem Phys 2015; 142:114102. [DOI: 10.1063/1.4913639] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Anežka Křístková
- Institute of Inorganic Chemistry, Slovak Academy of Sciences, Dúbravská cesta 9, SK-84536 Bratislava, Slovakia
| | - 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
| | - Vladimir G. Malkin
- Institute of Inorganic Chemistry, Slovak Academy of Sciences, Dúbravská cesta 9, SK-84536 Bratislava, Slovakia
| | - Olga L. Malkina
- Institute of Inorganic Chemistry, Slovak Academy of Sciences, Dúbravská cesta 9, SK-84536 Bratislava, Slovakia
- Department of Inorganic Chemistry, Comenius University, Bratislava, Slovakia
| |
Collapse
|
31
|
Hrdá M, Kulich T, Repiský M, Noga J, Malkina OL, Malkin VG. Implementation of the diagonalization-free algorithm in the self-consistent field procedure within the four-component relativistic scheme. J Comput Chem 2014; 35:1725-37. [DOI: 10.1002/jcc.23674] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/23/2014] [Revised: 06/09/2014] [Accepted: 06/10/2014] [Indexed: 01/22/2023]
Affiliation(s)
- Marcela Hrdá
- Department of Theoretical Chemistry; Institute of Inorganic Chemistry; Slovak Academy of Sciences; SK-84536 Bratislava Slovakia
| | - Tomáš Kulich
- Department of Computer Science; Faculty of Mathematics, Physics and Informatics, Comenius University; SK-84248 Bratislava Slovakia
| | - Michal Repiský
- Department of Theoretical Chemistry; Institute of Inorganic Chemistry; Slovak Academy of Sciences; SK-84536 Bratislava Slovakia
- Department of Chemistry; The Centre for Theoretical and Computational Chemistry (CTCC), UiT, The Arctic University of Norway; N-9037 Tromsø Norway
| | - Jozef Noga
- Department of Theoretical Chemistry; Institute of Inorganic Chemistry; Slovak Academy of Sciences; SK-84536 Bratislava Slovakia
- Department of Inorganic Chemistry; Faculty of Natural Sciences, Comenius University; SK-84215 Bratislava Slovakia
- Computing Centre; Slovak Academy of Sciences; SK-84545 Bratislava Slovakia
| | - Olga L. Malkina
- Department of Theoretical Chemistry; Institute of Inorganic Chemistry; Slovak Academy of Sciences; SK-84536 Bratislava Slovakia
- Department of Inorganic Chemistry; Faculty of Natural Sciences, Comenius University; SK-84215 Bratislava Slovakia
| | - Vladimir G. Malkin
- Department of Theoretical Chemistry; Institute of Inorganic Chemistry; Slovak Academy of Sciences; SK-84536 Bratislava Slovakia
| |
Collapse
|
32
|
Kauch M, Pecul M. What factors influence the metal-proton spin-spin coupling constants in mercury- and cadmium-substutited rubredoxin? J Phys Chem A 2014; 118:4471-9. [PMID: 24884758 DOI: 10.1021/jp501888c] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
The indirect metal-proton spin-spin coupling constants between protons in cysteine groups and the mercury or cadmium nucleus have been calculated for a small model of Me-rubredoxin complex (Me = Cd, Hg) by means of density functional theory with zeroth-order regular approximation Hamiltonian (DFT-ZORA). The calculated spin-spin coupling constants, in spite of the moderate size of the model system, are in good agreement with the values measured in NMR experiment, which are in the 0.29-0.56 Hz range for the Cd complex and in the 0.57-2.20 Hz range for the Hg complex. The robustness of the chosen method has been verified by calculations with a number of different exchange-correlation functionals and basis sets. Additionally, it has been shown that the short- and long-distance metal-proton coupling constants are affected mainly by the values of the metal-proton distance and the H-N-C-C dihedral angle.
Collapse
Affiliation(s)
- Małgorzata Kauch
- Faculty of Chemistry, University of Warsaw , Pasteura 1, 02-093 Warszawa, Poland
| | | |
Collapse
|
33
|
Autschbach J. Relativistic calculations of magnetic resonance parameters: background and some recent developments. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 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] [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.
Collapse
Affiliation(s)
- Jochen Autschbach
- Department of Chemistry, State University of New York at Buffalo, , Buffalo, NY 14260-3000, USA
| |
Collapse
|
34
|
Wodyński A, Pecul M. The influence of a presence of a heavy atom on the spin-spin coupling constants between two light nuclei in organometallic compounds and halogen derivatives. J Chem Phys 2014; 140:024319. [DOI: 10.1063/1.4858466] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
35
|
Komorovsky S, Repisky M, Ruud K, Malkina OL, Malkin VG. Four-Component Relativistic Density Functional Theory Calculations of NMR Shielding Tensors for Paramagnetic Systems. J Phys Chem A 2013; 117:14209-19. [DOI: 10.1021/jp408389h] [Citation(s) in RCA: 50] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Stanislav Komorovsky
- Centre
for Theoretical and Computational Chemistry, University of Tromsø—The Arctic University of Norway, N-9037 Tromsø, Norway
- Institute
of Inorganic Chemistry, Slovak Academy of Sciences, Dúbravská
cesta 9, SK-84536 Bratislava, Slovakia
| | - Michal Repisky
- Centre
for Theoretical and Computational Chemistry, University of Tromsø—The Arctic University of Norway, N-9037 Tromsø, Norway
- Institute
of Inorganic Chemistry, Slovak Academy of Sciences, Dúbravská
cesta 9, SK-84536 Bratislava, Slovakia
| | - Kenneth Ruud
- Centre
for Theoretical and Computational Chemistry, University of Tromsø—The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Olga L. Malkina
- Institute
of Inorganic Chemistry, Slovak Academy of Sciences, Dúbravská
cesta 9, SK-84536 Bratislava, Slovakia
| | - Vladimir G. Malkin
- Institute
of Inorganic Chemistry, Slovak Academy of Sciences, Dúbravská
cesta 9, SK-84536 Bratislava, Slovakia
| |
Collapse
|
36
|
Storchi L, Rampino S, Belpassi L, Tarantelli F, Quiney HM. Efficient Parallel All-Electron Four-Component Dirac–Kohn–Sham Program Using a Distributed Matrix Approach II. J Chem Theory Comput 2013; 9:5356-64. [DOI: 10.1021/ct400752s] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/01/2023]
Affiliation(s)
- Loriano Storchi
- Dipartimento
di Farmacia, Università G. d’Annunzio, Via dei Vestini 31, 66100 Chieti, Italy
| | | | | | | | - Harry M. Quiney
- ARC
Centre of Excellence for Coherent X-ray Science School of Physics, The University of Melbourne, Victoria, 3010, Australia
| |
Collapse
|
37
|
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] [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
| |
Collapse
|
38
|
Hanssen KØ, Schuler B, Williams AJ, Demissie TB, Hansen E, Andersen JH, Svenson J, Blinov K, Repisky M, Mohn F, Meyer G, Svendsen JS, Ruud K, Elyashberg M, Gross L, Jaspars M, Isaksson J. A Combined Atomic Force Microscopy and Computational Approach for the Structural Elucidation of Breitfussin A and B: Highly Modified Halogenated Dipeptides fromThuiaria breitfussi. Angew Chem Int Ed Engl 2012. [DOI: 10.1002/ange.201203960] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
|
39
|
Hanssen KØ, Schuler B, Williams AJ, Demissie TB, Hansen E, Andersen JH, Svenson J, Blinov K, Repisky M, Mohn F, Meyer G, Svendsen JS, Ruud K, Elyashberg M, Gross L, Jaspars M, Isaksson J. A Combined Atomic Force Microscopy and Computational Approach for the Structural Elucidation of Breitfussin A and B: Highly Modified Halogenated Dipeptides fromThuiaria breitfussi. Angew Chem Int Ed Engl 2012; 51:12238-41. [DOI: 10.1002/anie.201203960] [Citation(s) in RCA: 80] [Impact Index Per Article: 6.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/22/2012] [Revised: 06/28/2012] [Indexed: 11/09/2022]
|
40
|
Wodyński A, Repiský M, Pecul M. A comparison of two-component and four-component approaches for calculations of spin-spin coupling constants and NMR shielding constants of transition metal cyanides. J Chem Phys 2012; 137:014311. [DOI: 10.1063/1.4730944] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
41
|
|
42
|
Lantto P, Standara S, Riedel S, Vaara J, Straka M. Exploring new 129Xe chemical shift ranges in HXeY compounds: hydrogen more relativistic than xenon. Phys Chem Chem Phys 2012; 14:10944-52. [DOI: 10.1039/c2cp41240c] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
|
43
|
Cukras J, Sadlej J. Theoretical predictions of the spectroscopic parameters in noble-gas molecules: HXeOH and its complex with water. Phys Chem Chem Phys 2011; 13:15455-67. [PMID: 21804992 DOI: 10.1039/c1cp21359h] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We employ state-of-the-art methods and basis sets to study the effect of inserting the Xe atom into the water molecule and the water dimer on their NMR parameters. Our aim is to obtain predictions for the future experimental investigation of novel xenon complexes by NMR spectroscopy. Properties such as molecular structure and energetics have been studied by supermolecular approaches using HF, MP2, CCSD, CCSD(T) and MP4 methods. The bonding in HXeOH···H(2)O complexes has been analyzed by Symmetry-Adapted Perturbation Theory to provide the intricate insight into the nature of the interaction. We focus on vibrational spectra, NMR shielding and spin-spin coupling constants-experimental signals that reflect the electronic structures of the compounds. The parameters have been calculated at electron-correlated and Dirac-Hartree-Fock relativistic levels. This study has elucidated that the insertion of the Xe atom greatly modifies the NMR properties, including both the electron correlation and relativistic effects, the (129)Xe shielding constants decrease in HXeOH and HXeOH···H(2)O in comparison to Xe atom; the (17)O, as a neighbour of Xe, is deshielded too. The HXeOH···H(2)O complex in its most stable form is stabilized mainly by induction and dispersion energies.
Collapse
Affiliation(s)
- Janusz Cukras
- Department of Chemistry, University of Warsaw, Pasteura 1, 02-093 Warsaw, Poland
| | | |
Collapse
|
44
|
Rusakov YY, Krivdin LB, Potapov VA, Penzik MV, Amosova SV. Conformational analysis and diastereotopic assignments in the series of selenium-containing heterocycles by means of 77Se-1H spin-spin coupling constants: a combined theoretical and experimental study. MAGNETIC RESONANCE IN CHEMISTRY : MRC 2011; 49:389-398. [PMID: 21452352 DOI: 10.1002/mrc.2760] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/27/2010] [Revised: 02/25/2011] [Accepted: 03/01/2011] [Indexed: 05/30/2023]
Abstract
A combined theoretical and experimental study on the stereochemical behavior of (77)Se-(1)H spin-spin coupling constants has been performed at the second-order polarization propagator approach level together with heteronuclear multiple-bond correlation technique in the series of selenium-containing four-, five- and six-membered heterocycles including the derivatives of thiaselenetane, selenasilole, thiaselenole, thiaselenolane and dihydrothiaselenine. Geminal and vicinal (77)Se-(1)H spin-spin couplings were shown to have the pronounced stereochemical dependences in respect with the topology of the coupling pathway, internal rotation of the side-chain substituents and ring inversion providing a straightforward tool for the conformational analysis and diastereotopic assignments in the chiral organoselenium compounds.
Collapse
Affiliation(s)
- Yury Yu Rusakov
- A. E. Favorsky Irkutsk Institute of Chemistry, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia
| | | | | | | | | |
Collapse
|
45
|
Comparison of restricted, unrestricted, inverse, and dual kinetic balances for four-component relativistic calculations. Theor Chem Acc 2011. [DOI: 10.1007/s00214-010-0876-6] [Citation(s) in RCA: 38] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
|
46
|
Belpassi L, Storchi L, Quiney HM, Tarantelli F. Recent advances and perspectives in four-component Dirac–Kohn–Sham calculations. Phys Chem Chem Phys 2011; 13:12368-94. [DOI: 10.1039/c1cp20569b] [Citation(s) in RCA: 55] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/23/2023]
|
47
|
Hamaya S, Fukui H. Dirac–Hartree–Fock Perturbation Calculation of Magnetic Shielding Using the External Field-Dependent Restricted Magnetic Balance Condition. BULLETIN OF THE CHEMICAL SOCIETY OF JAPAN 2010. [DOI: 10.1246/bcsj.20100028] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
|
48
|
Komorovský S, Repiský M, Malkina OL, Malkin VG. Fully relativistic calculations of NMR shielding tensors using restricted magnetically balanced basis and gauge including atomic orbitals. J Chem Phys 2010; 132:154101. [DOI: 10.1063/1.3359849] [Citation(s) in RCA: 122] [Impact Index Per Article: 8.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023] Open
|
49
|
Cheng L, Xiao Y, Liu W. Four-component relativistic theory for nuclear magnetic shielding: magnetically balanced gauge-including atomic orbitals. J Chem Phys 2010; 131:244113. [PMID: 20059060 DOI: 10.1063/1.3283036] [Citation(s) in RCA: 65] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/13/2023] Open
Abstract
It is recognized only recently that the incorporation of the magnetic balance condition is absolutely essential for four-component relativistic theories of magnetic properties. Another important issue to be handled is the so-called gauge problem in calculations of, e.g., molecular magnetic shielding tensors with finite bases. It is shown here that the magnetic balance can be adapted to distributed gauge origins, leading to, e.g., magnetically balanced gauge-including atomic orbitals (MB-GIAOs) in which each magnetically balanced atomic orbital has its own local gauge origin placed on its center. Such a MB-GIAO scheme can be combined with any level of theory for electron correlation. The first implementation is done here at the coupled-perturbed Dirac-Kohn-Sham level. The calculated molecular magnetic shielding tensors are not only independent of the choice of gauge origin but also converge rapidly to the basis set limit. Close inspections reveal that (zeroth order) negative energy states are only important for the expansion of first order electronic core orbitals. Their contributions to the paramagnetism are therefore transferable from atoms to molecule and are essentially canceled out for chemical shifts. This allows for simplifications of the coupled-perturbed equations.
Collapse
Affiliation(s)
- Lan Cheng
- Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, State College of Chemistry and Molecular Engineering, and Center for Computational Science and Engineering, Peking University, Beijing 100871, People's Republic of China
| | | | | |
Collapse
|
50
|
Aucar GA, Romero RH, Maldonado AF. Polarization propagators: A powerful theoretical tool for a deeper understanding of NMR spectroscopic parameters. INT REV PHYS CHEM 2010. [DOI: 10.1080/01442350903432865] [Citation(s) in RCA: 53] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
|