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Updated: Jul 15, 2026

Magnetometric Characterization of Intermediates in the Solid-State Electrochemistry of Redox-Active Metal-Organic Frameworks
Published on: June 9, 2023
Computational studies of electron paramagnetic resonance parameters for paramagnetic molybdenum complexes. 1. Method
Jörg Fritscher1, Peter Hrobarik, Martin Kaupp
1Institute of Physical and Theoretical Chemistry, J. W. Goethe University of Frankfurt, and Center for Biological Magnetic Resonance, Max-von-Laue-Strasse 7, D-60438 Frankfurt, Germany. jfritscher@epr.uni-frankfurt.de
This study optimizes density functional methods for calculating molybdenum electronic g-tensors and hyperfine couplings. Hybrid functionals with 30-40% Hartree-Fock exchange and specific basis sets best match experimental electron paramagnetic resonance data.
Area of Science:
- Computational Chemistry
- Quantum Chemistry
- Spectroscopy
Background:
- Accurate computation of electronic g-tensors and hyperfine couplings is crucial for understanding molybdenum-containing compounds.
- Density functional theory (DFT) methods are widely used but require careful parameterization for specific systems.
- Electron paramagnetic resonance (EPR) spectroscopy provides experimental data for validating computational models.
Purpose of the Study:
- To evaluate various density functional methods for computing molybdenum electronic g-tensors and hyperfine couplings.
- To investigate the impact of basis sets and exchange-correlation functionals on EPR parameters.
- To identify optimal computational strategies for accurate predictions in molybdenum complexes.
Main Methods:
- Systematic evaluation of density functional theory (DFT) methods, including hybrid functionals with varying Hartree-Fock exchange.
- Basis set studies using a moderate-sized 12s6p5d all-electron basis for molybdenum.
- Inclusion of spin-orbit corrections and scalar relativistic effects in calculations.
- Two-component g-tensor calculations with variational spin-orbit coupling.
Main Results:
- A moderate-sized 12s6p5d molybdenum basis set yields hyperfine tensors in excellent agreement with larger basis sets.
- Hybrid functionals with 30-40% Hartree-Fock exchange provide the best agreement with experimental g- and hyperfine tensors.
- Spin-orbit corrections are significant and necessary for accurate hyperfine tensor calculations.
- Scalar relativistic effects enhance isotropic Mo hyperfine coupling by 15-20%.
- Computed tensor orientations for MoXLCl2 complexes show good agreement with single-crystal EPR experiments.
Conclusions:
- Optimized DFT methods, particularly hybrid functionals with specific Hartree-Fock exchange, accurately predict molybdenum EPR parameters.
- A carefully chosen basis set and inclusion of spin-orbit effects are essential for high accuracy.
- The study provides a reliable computational framework for investigating molybdenum complexes using EPR spectroscopy.
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