1
|
Bruder F, Franzke YJ, Holzer C, Weigend F. Zero-field splitting parameters within exact two-component theory and modern density functional theory using seminumerical integration. J Chem Phys 2023; 159:194117. [PMID: 37987521 DOI: 10.1063/5.0175758] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/08/2023] [Accepted: 10/26/2023] [Indexed: 11/22/2023] Open
Abstract
An efficient implementation of zero-field splitting parameters based on the work of Schmitt et al. [J. Chem. Phys. 134, 194113 (2011)] is presented. Seminumerical integration techniques are used for the two-electron spin-dipole contribution and the response equations of the spin-orbit perturbation. The original formulation is further generalized. First, it is extended to meta-generalized gradient approximations and local hybrid functionals. For these functional classes, the response of the paramagnetic current density is considered in the coupled-perturbed Kohn-Sham equations for the spin-orbit perturbation term. Second, the spin-orbit perturbation is formulated within relativistic exact two-component theory and the screened nuclear spin-orbit (SNSO) approximation. The accuracy of the implementation is demonstrated for transition-metal and diatomic main-group compounds. The efficiency is assessed for Mn and Mo complexes. Here, it is found that coarse integration grids for the seminumerical schemes lead to drastic speedups while introducing clearly negligible errors. In addition, the SNSO approximation substantially reduces the computational demands and leads to very similar results as the spin-orbit mean field Ansatz.
Collapse
Affiliation(s)
- Florian Bruder
- Fachbereich Chemie, Philipps-Universität Marburg, Hans-Meerwein-Straße 4, 35032 Marburg, Germany
| | - Yannick J Franzke
- Fachbereich Chemie, Philipps-Universität Marburg, Hans-Meerwein-Straße 4, 35032 Marburg, Germany
| | - Christof Holzer
- Institute of Theoretical Solid State Physics, Karlsruhe Institute of Technology (KIT), Wolfgang-Gaede-Straße 1, 76131 Karlsruhe, Germany
| | - Florian Weigend
- Fachbereich Chemie, Philipps-Universität Marburg, Hans-Meerwein-Straße 4, 35032 Marburg, Germany
| |
Collapse
|
2
|
Wu D, Zhou C, Bao JJ, Gagliardi L, Truhlar DG. Zero-Field Splitting Calculations by Multiconfiguration Pair-Density Functional Theory. J Chem Theory Comput 2022; 18:2199-2207. [PMID: 35319874 DOI: 10.1021/acs.jctc.1c01115] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022]
Abstract
Zero-field splitting (ZFS) is a fundamental molecular property that is especially relevant for single-molecule magnets (SMMs), electron paramagnetic resonance spectra, and quantum computing. Developing a method that can accurately predict ZFS parameters can be very powerful for designing new SMMs. One of the challenges is to include external correlation in an inherently multiconfigurational open-shell species for the accurate prediction of magnetic properties. Previously available methods depend on expensive multireference perturbation theory calculations to include external correlation. In this paper, we present spin-orbit-inclusive multiconfiguration and multistate pair-density functional theory (MC-PDFT) calculations of ZFSs; these calculations have a cost comparable to complete-active-space self-consistent field (CASSCF) theory, but they include correlation external to the active space. We found that combining a multistate formulation of MC-PDFT, namely, compressed-state multistate pair-density functional theory, with orbitals optimized by weighted-state-averaged CASSCF, yields reasonably accurate ZFS results.
Collapse
Affiliation(s)
- Dihua Wu
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United States
| | - Chen Zhou
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United States
| | - Jie J Bao
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United States
| | - Laura Gagliardi
- Department of Chemistry, Pritzker School of Molecular Engineering, The James Franck Institute, and Chicago Center for Theoretical Chemistry, The University of Chicago, Chicago, Illinois 60637, United States.,Argonne National Laboratory, Lemont, Illinois 60439, United States
| | - Donald G Truhlar
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United States
| |
Collapse
|
3
|
Gandomi F, Vakili M, Darugar V, Takjoo R, Tayyari SF. Optimized molecular geometry, vibrational analysis, and Fe-O bond strength of Tris(α-cyanoacetylacetonate)iron(III):An experimental and theoretical study. J Mol Struct 2022. [DOI: 10.1016/j.molstruc.2021.131444] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
|
4
|
Gandomi F, Vakili M, Takjoo R, Tayyari SF. Isomerism, molecular structure, and vibrational assignment of tris(triflouroacetylacetonato)iron(III): An experimental and theoretical study. J Mol Struct 2022. [DOI: 10.1016/j.molstruc.2021.131347] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
|
5
|
Novotný J, Jeremias L, Nimax P, Komorovsky S, Heinmaa I, Marek R. Crystal and Substituent Effects on Paramagnetic NMR Shifts in Transition-Metal Complexes. Inorg Chem 2021; 60:9368-9377. [PMID: 34133172 PMCID: PMC9597657 DOI: 10.1021/acs.inorgchem.1c00204] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
![]()
Nuclear magnetic resonance (NMR)
spectroscopy of paramagnetic molecules
provides detailed information about their molecular and electron-spin
structure. The paramagnetic NMR spectrum is a very rich source of
information about the hyperfine interaction between the atomic nuclei
and the unpaired electron density. The Fermi-contact contribution
to ligand hyperfine NMR shifts is particularly informative about the
nature of the metal–ligand bonding and the structural arrangements
of the ligands coordinated to the metal center. In this account, we
provide a detailed experimental and theoretical NMR study of compounds
of Cr(III) and Cu(II) coordinated with substituted acetylacetonate
(acac) ligands in the solid state. For the first time, we report the
experimental observation of extremely paramagnetically deshielded 13C NMR resonances for these compounds in the range of 900–1200
ppm. We demonstrate an excellent agreement between the experimental
NMR shifts and those calculated using relativistic density-functional
theory. Crystal packing is shown to significantly influence the NMR
shifts in the solid state, as demonstrated by theoretical calculations
of various supramolecular clusters. The resonances are assigned to
individual atoms in octahedral Cr(acac)3 and square-planar
Cu(acac)2 compounds and interpreted by different electron
configurations and magnetizations at the central metal atoms resulting
in different spin delocalizations and polarizations of the ligand
atoms. Further, effects of substituents on the 13C NMR
resonance of the ipso carbon atom reaching almost 700 ppm for Cr(acac)3 compounds are interpreted based on the analysis of Fermi-contact
hyperfine contributions. The
ligand NMR shifts in paramagnetic acetylacetonato Cr(III)
and Cu(II) complexes have been predicted and measured in the solid
state and interpreted by relativistic DFT calculations. The effects
of the metal atom, ligand, and crystal packing on the spin delocalization
and polarization reflected in the Fermi-contact contribution to the
hyperfine interaction are rationalized.
Collapse
Affiliation(s)
- Jan Novotný
- CEITEC-Central European Institute of Technology, Masaryk University, Kamenice 5, CZ-625 00 Brno, Czechia.,Department of Chemistry, Faculty of Science, Masaryk University, Kamenice 5, CZ-625 00 Brno, Czechia.,Institute of Inorganic Chemistry, Slovak Academy of Sciences, Dúbravská cesta 9, SK-84536 Bratislava, Slovakia
| | - Lukáš Jeremias
- CEITEC-Central European Institute of Technology, Masaryk University, Kamenice 5, CZ-625 00 Brno, Czechia.,Department of Chemistry, Faculty of Science, Masaryk University, Kamenice 5, CZ-625 00 Brno, Czechia.,Department of Chemistry and Biochemistry, Faculty of AgriSciences, Mendel University, Zemědělská 1, CZ-613 00 Brno, Czechia
| | - Patrick Nimax
- CEITEC-Central European Institute of Technology, Masaryk University, Kamenice 5, CZ-625 00 Brno, Czechia.,National Center for Biomolecular Research, Faculty of Science, Masaryk University, Kamenice 5, CZ-625 00 Brno, Czechia
| | - Stanislav Komorovsky
- Institute of Inorganic Chemistry, Slovak Academy of Sciences, Dúbravská cesta 9, SK-84536 Bratislava, Slovakia
| | - Ivo Heinmaa
- National Institute of Chemical Physics and Biophysics, Akadeemia tee 23, EE-12618 Tallinn, Estonia
| | - Radek Marek
- CEITEC-Central European Institute of Technology, Masaryk University, Kamenice 5, CZ-625 00 Brno, Czechia.,Department of Chemistry, Faculty of Science, Masaryk University, Kamenice 5, CZ-625 00 Brno, Czechia.,National Center for Biomolecular Research, Faculty of Science, Masaryk University, Kamenice 5, CZ-625 00 Brno, Czechia
| |
Collapse
|
6
|
Uchida K, Cosquer G, Sugisaki K, Matsuoka H, Sato K, Breedlove BK, Yamashita M. Isostructural M(ii) complexes (M = Mn, Fe, Co) with field-induced slow magnetic relaxation for Mn and Co complexes. Dalton Trans 2019; 48:12023-12030. [PMID: 31298228 DOI: 10.1039/c8dt02150c] [Citation(s) in RCA: 17] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022]
Abstract
We herein report the synthetic, structural, theoretical, and magnetic studies on three isostructural complexes, [M(L)2(CH3OH)2] (M = Mn (Mn), Fe (Fe), and Co (Co); HL = 2,6-bis(pyrazole-1-yl)pyridine-4-carboxylic acid). From single crystal X-ray crystallography, it is found that the complexes crystallized in the same space group (C2/c) and had seven-coordinate pentagonal bipyramidal structures. From direct current (dc) and alternating current (ac) magnetic susceptibility measurements, Mn and Co were found to undergo field-induced slow magnetic relaxation with two relaxation pathways. To elucidate the origin of the slow magnetic relaxation phenomena of Mn, electron paramagnetic resonance (EPR) measurements and theoretical calculations were performed. The EPR measurements were performed on polycrystalline powder samples, and the following parameters were obtained by simulating the EPR data: giso = 2.00 and small zero field splitting parameter D = -0.13 cm-1. To the best of our knowledge, this is the first example of a seven-coordinate mononuclear Mn(ii) complex undergoing slow magnetic relaxation.
Collapse
Affiliation(s)
- Kaiji Uchida
- Department of Chemistry, Graduate School of Science, Tohoku University, 6-3 Aramaki-Aza-Aoba, Sendai 980-8578, Japan.
| | | | | | | | | | | | | |
Collapse
|
7
|
Yamane T, Sugisaki K, Matsuoka H, Sato K, Toyota K, Shiomi D, Takui T. ESR analyses of picket fence MnII and 6th ligand coordinated FeIII porphyrins (S = 5/2) and a CoII(hfac) complex (S = 3/2) with sizable ZFS parameters revisited: a full spin Hamiltonian approach and quantum chemical calculations. Dalton Trans 2018; 47:16429-16444. [DOI: 10.1039/c8dt02988a] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The conventional X-band ESR spectra are fully reanalyzed by a full spin Hamiltonian approach.
Collapse
Affiliation(s)
- Takeshi Yamane
- Department of Chemistry and Molecular Materials Science
- Graduate School of Science
- Osaka City University
- Osaka
- Japan
| | - Kenji Sugisaki
- Department of Chemistry and Molecular Materials Science
- Graduate School of Science
- Osaka City University
- Osaka
- Japan
| | - Hideto Matsuoka
- Department of Chemistry and Molecular Materials Science
- Graduate School of Science
- Osaka City University
- Osaka
- Japan
| | - Kazunobu Sato
- Department of Chemistry and Molecular Materials Science
- Graduate School of Science
- Osaka City University
- Osaka
- Japan
| | - Kazuo Toyota
- Department of Chemistry and Molecular Materials Science
- Graduate School of Science
- Osaka City University
- Osaka
- Japan
| | - Daisuke Shiomi
- Department of Chemistry and Molecular Materials Science
- Graduate School of Science
- Osaka City University
- Osaka
- Japan
| | - Takeji Takui
- Department of Chemistry and Molecular Materials Science
- Graduate School of Science
- Osaka City University
- Osaka
- Japan
| |
Collapse
|