M. Waroquier

We propose a framework to construct the ground-state energy and density matrix of an N-electron system by solving a self-consistent set of single-particle equations. The method can be viewed as a nontrivial extension of the Kohn-Sham scheme (which is embedded as a special case). It is based on separating the Green’s function into a quasiparticle part and a background part, and expressing only the background part as a functional of the density matrix. The calculated single-particle energies and wave functions have a clear physical interpretation as quasiparticle energies and orbitals.

A theoretical study is performed on the radiation-induced radicals in crystalline α-l-rhamnose, using density functional theory (DFT) calculations. Irrespective of earlier structural assignments, a host of possible radical models is examined in search for a structure that accurately reproduces experimental electron paramagnetic resonance (EPR) properties. A cluster approach is followed, incorporating all hydrogen bond interactions between radical and crystalline environment. Hyperfine coupling tensors as well as g tensors are determined and a comparison is made with available experimental data. Three carbon-centered hydroxyalkyl radicals are validated, in accordance with experimental suggestions for their structure. The occurrence of a carbon-centered oxygen anion radical for one of the radical species is rejected on theoretical grounds, and instead an altered hydroxyalkyl structure is suggested. Our cluster calculations are able to determine g and hyperfine tensors for the oxygen-centered alkoxy radical in rhamnose, in accordance with one of the two measurements for this species. For all radical models, quantitative agreement with experimental hyperfine tensors is obtained by performing full cluster DFT calculations. The inclusion of the molecular environment for the determination of this EPR property proved to be essential.

Monoatomic X- (X = O, S) chalcogen centers in MZ (M = Na, K, Rb and Z = Cl, Br, I) alkali halide lattices are investigated within the framework of density functional theory with the principal aim to establish defect models. In electron paramagnetic resonance (EPR) experiments, X- defects with tetragonal, orthorhombic, and monoclinic g-tensor symmetry have been observed. In this paper, models in which X- replaces a single halide ion, with a next nearest neighbor and a nearest neighbor halide vacancy, are validated for the X- centers with tetragonal and orthorhombic symmetry, respectively. As such defect models are extended, the ability to reproduce experimental data is a stringent test for various computational approaches. Cluster in vacuo and embedded cluster schemes are used to calculate energy and EPR parameters for the two vacancy configurations. The final assignment of a defect structure is based on the qualitative and quantitative reproduction of experimental g and (super)hyperfine tensors.

Enantiomerically pure 2-(aryloxymethyl)aziridines are efficiently transformed into chiral N-(2-bromo-3-aryloxypropyl)amines via a regio- and stereospecific ring opening of the intermediate aziridinium salts, and the experimental results are rationalized on the basis of some high level ab initio calculations

Using density functional theory (DFT) calculations, an enhanced theoretical examination was made of the radiation-induced radicals in alpha-d-glucose. For the carbon-centred radicals in this sugar, the effect of the model space on the radical geometry as well as on the calculated radical hyperfine coupling tensors was examined. The findings were compared with previously published tensors, as determined by electron paramagnetic resonance (EPR) experiments and single molecule DFT calculations. A cluster approach was adopted, in which intermolecular interactions (predominantly hydrogen bonds) between the radical species and its environment were explicitly incorporated. This substantially improved the correspondence with experimental findings in comparison with single molecule calculations of an earlier examination. In a direct comparison between both computational methods for the glucose radicals, it was shown that the extent of the model space plays an important part in the determination of the radical geometry. Furthermore, the model space also has an impact on the calculated hyperfine coupling tensors. Full cluster EPR calculations, in which the paramagnetic properties are calculated for the entire model space of the cluster, give an excellent agreement with the experimental EPR measurements.