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Solution of a Puzzle: High-Level Quantum-Chemical Treatment of Pseudocontact Chemical Shifts Confirms Classic Semiempirical Theory

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Specialty Chemistry
Date 2020 Sep 15
PMID 32930598
Citations 8
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Abstract

A recently popularized approach for the calculation of pseudocontact shifts (PCSs) based on first-principles quantum chemistry (QC) leads to different results than the classic "semiempirical" equation involving the susceptibility tensor. Studies that attempted a comparison of theory and experiment led to conflicting conclusions with respect to the preferred theoretical approach. In this Letter, we show that after inclusion of previously neglected terms in the full Hamiltonian, one can deduce the semiempirical equations from a rigorous QC-based treatment. It also turns out that in the long-distance limit, one can approximate the complete tensor in terms of the tensor. By means of Kohn-Sham density functional theory calculations, we numerically confirm the long-distance expression for the tensor and the theoretically predicted scaling behavior of the different terms. Our derivation suggests a computational strategy in which one calculates the susceptibility tensor and inserts it into the classic equation for the PCS.

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References
1.
Sandhoefer B, Kossmann S, Neese F . Derivation and assessment of relativistic hyperfine-coupling tensors on the basis of orbital-optimized second-order Møller-Plesset perturbation theory and the second-order Douglas-Kroll-Hess transformation. J Chem Phys. 2013; 138(10):104102. DOI: 10.1063/1.4792362. View

2.
Kaupp M, Reviakine R, Malkina O, Arbuznikov A, Schimmelpfennig B, Malkin V . Calculation of electronic g-tensors for transition metal complexes using hybrid density functionals and atomic meanfield spin-orbit operators. J Comput Chem. 2002; 23(8):794-803. DOI: 10.1002/jcc.10049. View

3.
Zhong L, Wen X, Rabinowitz T, Russell B, Karan E, Bren K . Heme axial methionine fluxionality in Hydrogenobacter thermophilus cytochrome c552. Proc Natl Acad Sci U S A. 2004; 101(23):8637-42. PMC: 423247. DOI: 10.1073/pnas.0402033101. View

4.
Blackburn O, Chilton N, Keller K, Tait C, Myers W, McInnes E . Spectroscopic and Crystal Field Consequences of Fluoride Binding by [Yb⋅DTMA](3+) in Aqueous Solution. Angew Chem Int Ed Engl. 2015; 54(37):10783-6. PMC: 4611957. DOI: 10.1002/anie.201503421. View

5.
Perdew . Density-functional approximation for the correlation energy of the inhomogeneous electron gas. Phys Rev B Condens Matter. 1986; 33(12):8822-8824. DOI: 10.1103/physrevb.33.8822. View