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Density functional restricted-unrestricted approach for nonlinear properties: Application to electron paramagnetic resonance parameters of square planar copper complexes
KTH, School of Biotechnology (BIO), Theoretical Chemistry.ORCID iD: 0000-0003-2729-0290
KTH, School of Biotechnology (BIO), Theoretical Chemistry.
KTH, School of Biotechnology (BIO), Theoretical Chemistry.ORCID iD: 0000-0002-9123-8174
2008 (English)In: Journal of Chemical Physics, ISSN 0021-9606, E-ISSN 1089-7690, Vol. 129, no 6, 064109-1-064109-17 p.Article in journal (Refereed) Published
Abstract [en]

The density functional restricted-unrestricted approach for treatments of spin polarization effects in molecular properties using spin restricted Kohn-Sham theory has been extended from linear to nonlinear properties. It is shown that the spin polarization contribution to a nonlinear property has the form of a quadratic response function that includes the zero-order Kohn-Sham operator, in analogy to the lower order case where the spin polarization correction to an expectation value has the form of a linear response function. The developed approach is used to formulate new schemes for computation of electronic g-tensors and hyperfine coupling constants, which include spin polarization effects within the framework of spin restricted Kohn-Sham theory. The proposed computational schemes are in the present work employed to study the spin polarization effects on electron paramagnetic resonance spin Hamiltonian parameters of square planar copper complexes. The obtained results indicate that spin polarization gives rise to sizable contributions to the hyperfine coupling tensor of copper in all investigated complexes, while the electronic g-tensors of these complexes are only marginally affected by spin polarization and other factors, such as choice of exchange-correlation functional or molecular structures, will have more pronounced impact on the accuracy of the results.

Place, publisher, year, edition, pages
2008. Vol. 129, no 6, 064109-1-064109-17 p.
Keyword [en]
TRANSITION-METAL-COMPLEXES; HYPERFINE COUPLING-CONSTANTS; SPIN-ORBIT OPERATORS; KOHN-SHAM THEORY; CRYSTAL-STRUCTURE; HARTREE-FOCK; G-TENSORS; CORRELATION-ENERGY; EPR PARAMETERS; EXCHANGE
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:kth:diva-8427DOI: 10.1063/1.2964102ISI: 000258490600010Scopus ID: 2-s2.0-49749116813OAI: oai:DiVA.org:kth-8427DiVA: diva2:13742
Note
QC 20100714. Uppdaterad från submitted till published (20100714).Available from: 2008-05-12 Created: 2008-05-12 Last updated: 2017-12-14Bibliographically approved
In thesis
1. Optical and Magnetic Properties of Copper(II) Compounds
Open this publication in new window or tab >>Optical and Magnetic Properties of Copper(II) Compounds
2008 (English)Doctoral thesis, comprehensive summary (Other scientific)
Abstract [en]

This thesis encloses quantum chemical calculations and applications of a response function formalism recently implemented within the framework of density functional theory. The optical and magnetic properties of copper(II) molecular systems are the main goal of this work. In this work, the visible and near-infrared electronic transitions, which have shown a key role in studies on electronic structure and structure-function relationships of copper compounds, were investigated in order to explore the correlation of the positions and intensities of these transitions with the geometrical structures and their molecular distortions. The evaluation of solvent effects on the absorption spectra were successfully achieved, providing accurate and inedit computational insight of these effects for copper(II) complexes. Electron Paramagnetic Resonance (EPR) parameters, that is, the electronic g tensor and the hyperfine coupling constants, are powerful spectroscopic properties for investigating paramagnetic systems and were thoroughly analysed in this work in different molecular systems. Relativistic corrections generated by spin-orbit interactions or by scalar relativistic effects were taken into account in all calculations. In addition, we have designed a methodology for accurate evaluation of the electronic g tensors and hyperfine coupling tensors as well as for evaluation of solvent effects on these properties. It is found that this methodology is able to provide reliable and accurate results for EPR parameters of copper(II) molecular systems. The spin polarization effects on EPR parameters of square planar copper(II) complexes were also considered, showing that these effects give rise to significant contributions to the hyperfine coupling tensor, whereas the electronic g tensor of these complexes are only marginally affected by these effects. The evaluation of the leading-order relativistic corrections to the electronic g tensors of molecules with a doublet ground state has been also taken into account in this work. As a first application of the theory, the electronic g tensors of dihalogen anion radicals X$_2^-$ (X=F,~Cl,~Br,~I) have been investigated and the obtained results indicate that the spin--orbit interaction is responsible for the parallel component of the g tensor shift, while both the leading-order scalar relativistic and spin--orbit corrections are of minor importance for the perpendicular component of the g tensor in these molecules

since they effectively cancel each other. Overall, both optical and magnetic results show quantitative agreements with experiments, indicating that the methodologies employed form a practical way in study of copper(II) molecular systems including those of biological importance.

Place, publisher, year, edition, pages
Stockholm: KTH, 2008. vi, 53 p.
National Category
Industrial Biotechnology
Identifiers
urn:nbn:se:kth:diva-4743 (URN)978-91-7415-014-8 (ISBN)
Public defence
2008-05-30, FA32, AlbaNova, Roslagstullsbacken, Stockholm, 10:00
Opponent
Supervisors
Note
QC 20100714Available from: 2008-05-12 Created: 2008-05-12 Last updated: 2010-07-14Bibliographically approved

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