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Accurate spin-orbit and spin-other-orbit contributions to the g-tensor for transition metal containing systems

Andy Van Yperen-De Deyne UGent, Ewald Pauwels UGent, Veronique Van Speybroeck UGent and Michel Waroquier UGent (2012) PHYSICAL CHEMISTRY CHEMICAL PHYSICS. 14(30). p.10690-10704
abstract
In this paper an overview is presented of several approximations within Density Functional Theory (DFT) to calculate g-tensors in transition metal containing systems and a new accurate description of the spin-other-orbit contribution for high spin systems is suggested. Various implementations in a broad variety of software packages (ORCA, ADF, Gaussian, CP2K, GIPAW and BAND) are critically assessed on various aspects including (i) non-relativistic versus relativistic Hamiltonians, (ii) spin-orbit coupling contributions and (iii) the gauge. Particular attention is given to the level of accuracy that can be achieved for codes that allow g-tensor calculations under periodic boundary conditions, as these are ideally suited to efficiently describe extended condensed-phase systems containing transition metals. In periodic codes like CP2K and GIPAW, the g-tensor calculation schemes currently suffer from an incorrect treatment of the exchange spin-orbit interaction and a deficient description of the spin-other-orbit term. In this paper a protocol is proposed, making the predictions of the exchange part to the g-tensor shift more plausible. Focus is also put on the influence of the spin-other-orbit interaction which becomes of higher importance for high-spin systems. In a revisited derivation of the various terms arising from the two-electron spin-orbit and spin-other-orbit interaction (SOO), new insight has been obtained revealing amongst other issues new terms for the SOO contribution. The periodic CP2K code has been adapted in view of this new development. One of the objectives of this study is indeed a serious enhancement of the performance of periodic codes in predicting g-tensors in transition metal containing systems at the same level of accuracy as the most advanced but time consuming spin-orbit mean-field approach. The methods are first applied on rhodium carbide but afterwards extended to a broad test set of molecules containing transition metals from the fourth, fifth and sixth row of the periodic table. The set contains doublets as well as high-spin molecules.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
ELECTRONIC G-TENSORS, DENSITY-FUNCTIONAL CALCULATIONS, LASER VAPORIZATION GENERATION, ORDER REGULAR APPROXIMATION, EFFECTIVE NUCLEAR CHARGES, CORRELATED WAVE-FUNCTIONS, NMR CHEMICAL-SHIFTS, 4 DEGREES-K, AB-INITIO, THEORETICAL CALCULATIONS
journal title
PHYSICAL CHEMISTRY CHEMICAL PHYSICS
Phys. Chem. Chem. Phys.
volume
14
issue
30
pages
10690 - 10704
Web of Science type
Article
Web of Science id
000306281000038
JCR category
PHYSICS, ATOMIC, MOLECULAR & CHEMICAL
JCR impact factor
3.829 (2012)
JCR rank
6/34 (2012)
JCR quartile
1 (2012)
ISSN
1463-9076
DOI
10.1039/c2cp41086a
project
HPC-UGent: the central High Performance Computing infrastructure of Ghent University
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
2966885
handle
http://hdl.handle.net/1854/LU-2966885
date created
2012-08-02 11:09:48
date last changed
2013-09-17 10:49:57
@article{2966885,
  abstract     = {In this paper an overview is presented of several approximations within Density Functional Theory (DFT) to calculate g-tensors in transition metal containing systems and a new accurate description of the spin-other-orbit contribution for high spin systems is suggested. Various implementations in a broad variety of software packages (ORCA, ADF, Gaussian, CP2K, GIPAW and BAND) are critically assessed on various aspects including (i) non-relativistic versus relativistic Hamiltonians, (ii) spin-orbit coupling contributions and (iii) the gauge. Particular attention is given to the level of accuracy that can be achieved for codes that allow g-tensor calculations under periodic boundary conditions, as these are ideally suited to efficiently describe extended condensed-phase systems containing transition metals. In periodic codes like CP2K and GIPAW, the g-tensor calculation schemes currently suffer from an incorrect treatment of the exchange spin-orbit interaction and a deficient description of the spin-other-orbit term. In this paper a protocol is proposed, making the predictions of the exchange part to the g-tensor shift more plausible. Focus is also put on the influence of the spin-other-orbit interaction which becomes of higher importance for high-spin systems. In a revisited derivation of the various terms arising from the two-electron spin-orbit and spin-other-orbit interaction (SOO), new insight has been obtained revealing amongst other issues new terms for the SOO contribution. The periodic CP2K code has been adapted in view of this new development. One of the objectives of this study is indeed a serious enhancement of the performance of periodic codes in predicting g-tensors in transition metal containing systems at the same level of accuracy as the most advanced but time consuming spin-orbit mean-field approach. The methods are first applied on rhodium carbide but afterwards extended to a broad test set of molecules containing transition metals from the fourth, fifth and sixth row of the periodic table. The set contains doublets as well as high-spin molecules.},
  author       = {Van Yperen-De Deyne, Andy and Pauwels, Ewald and Van Speybroeck, Veronique and Waroquier, Michel},
  issn         = {1463-9076},
  journal      = {PHYSICAL CHEMISTRY CHEMICAL PHYSICS},
  keyword      = {ELECTRONIC G-TENSORS,DENSITY-FUNCTIONAL CALCULATIONS,LASER VAPORIZATION GENERATION,ORDER REGULAR APPROXIMATION,EFFECTIVE NUCLEAR CHARGES,CORRELATED WAVE-FUNCTIONS,NMR CHEMICAL-SHIFTS,4 DEGREES-K,AB-INITIO,THEORETICAL CALCULATIONS},
  language     = {eng},
  number       = {30},
  pages        = {10690--10704},
  title        = {Accurate spin-orbit and spin-other-orbit contributions to the g-tensor for transition metal containing systems},
  url          = {http://dx.doi.org/10.1039/c2cp41086a},
  volume       = {14},
  year         = {2012},
}

Chicago
Van Yperen-De Deyne, Andy, Ewald Pauwels, Veronique Van Speybroeck, and Michel Waroquier. 2012. “Accurate Spin-orbit and Spin-other-orbit Contributions to the G-tensor for Transition Metal Containing Systems.” Physical Chemistry Chemical Physics 14 (30): 10690–10704.
APA
Van Yperen-De Deyne, A., Pauwels, E., Van Speybroeck, V., & Waroquier, M. (2012). Accurate spin-orbit and spin-other-orbit contributions to the g-tensor for transition metal containing systems. PHYSICAL CHEMISTRY CHEMICAL PHYSICS, 14(30), 10690–10704.
Vancouver
1.
Van Yperen-De Deyne A, Pauwels E, Van Speybroeck V, Waroquier M. Accurate spin-orbit and spin-other-orbit contributions to the g-tensor for transition metal containing systems. PHYSICAL CHEMISTRY CHEMICAL PHYSICS. 2012;14(30):10690–704.
MLA
Van Yperen-De Deyne, Andy, Ewald Pauwels, Veronique Van Speybroeck, et al. “Accurate Spin-orbit and Spin-other-orbit Contributions to the G-tensor for Transition Metal Containing Systems.” PHYSICAL CHEMISTRY CHEMICAL PHYSICS 14.30 (2012): 10690–10704. Print.