Fadda, Elisa and Casida, Mark E. and Salahub, Dennis R.
(2003)
TimeDependent Density Functional
Theory as a Foundation for a Firmer
Understanding of SumOverStates
Density Functional Perturbation
Theory: “Loc.3” Approximation.
International Journal of Quantum Chemistry, 91 (2).
pp. 6783.
ISSN 00207608
Abstract
Sumoverstates density functional perturbation theory (SOSDFPT) (Malkin, V. G.; Malkina, O. L.; Casida, M. E.; Salahub, D. R. J Am Chem Soc 1994, 116, 5898) has been successful as a method for calculating nuclear magnetic resonance (NMR) chemical shifts. The key to this success is the introduction of an ad hoc correction to the excitation energies represented by simple orbital energy differences in uncoupled density functional theory. It has been suggested (Jamorski, C.; Casida, M. E.; Salahub, D. R. J Chem Phys 1996, 104, 5134) that the good performance of this methodology could be partly explained by the resemblance of the corrected excitation energy to the orbital energy difference given by timedependent density functional theory (TDDFT). In fact, according to exact (wave function) timedependent perturbation theory, both magnetic and electric perturbations may be described using essentially the same simple SOS expression. However in adiabatic TDDFT, with no explicit relativistic or current density functional dependence, the functional is approximate and so the magnetic and electric SOS expressions are different. Because TDDFT (neglecting relativistic and current density functional dependence) is formally exact for electric perturbations but not magnetic perturbations and because the two SOS expressions should have the same form, we propose that the SOS expression for electric perturbations should also be used for magnetic perturbations. We then go on to realize our theory by deriving a “Loc.3” approximation that is explicitly designed by applying the electric field SOS expression to magnetic fields within the twolevel model and Tamm–Dancoff approximation. Test results for 13 small organic and inorganic molecules show that the Loc.3 approximation performs at least as well as the “Loc.1” and “Loc.2” approximations of SOSDFPT.
Item Type: 
Article

Keywords: 
sumoverstates density functional perturbation theory; NMR chemical
shifts; timedependent DFT; magnetic perturbations; 
Academic Unit: 
Faculty of Science and Engineering > Chemistry 
Item ID: 
7831 
Identification Number: 
https://doi.org/10.1002/qua.10434 
Depositing User: 
Elisa Fadda

Date Deposited: 
30 Jan 2017 15:04 
Journal or Publication Title: 
International Journal of Quantum Chemistry 
Publisher: 
Wiley 
Refereed: 
Yes 
URI: 

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