M. Waroquier

Q-Band EPR and ENDOR of Low Temperature X-Irradiated β-d-Fructose Single Crystals

G. Vanhaelewyn, E. Pauwels, F. Callens, M. Waroquier, E. Sagstuen, P. Matthys
Journal of Physical Chemistry A
110 (6), 2147–2156
2006
A1

Abstract 

β-d-Fructose single crystals were in situ X-irradiated at 80 K and measured using electron paramagnetic resonance (EPR), electron nuclear double resonance (ENDOR) and ENDOR-induced EPR (EIE) techniques at Q-band (34 GHz) microwave frequencies. The measurements revealed the presence of at least four carbon-centered radicals stable at 80 K. By means of ENDOR angular variations in the three principal crystallographic planes, six proton hyperfine coupling tensors could be determined and were assigned to four different radicals by the aid of EIE. Two of the radicals exhibit only β-proton hyperfine couplings and reveal almost identical EIE spectra. For the other two radicals, the major hyperfine splitting originates from a single α-proton hyperfine coupling and their EIE spectra were also quite similar. The similarity of the EIE spectra and hyperfine tensors led to the assumption that there are only two essentially different radical structures. The radical exhibiting only β-proton hyperfine couplings was assigned to a C3 centered radical arising from H3 abstraction and the other radical suggested to be an open-ring species with a disrupted C2−C3 bond and a double C2−O2 bond. A possible formation mechanism for the latter open-ring radical is presented. By means of cluster density functional theory (DFT) calculations, the structures of the two radicals were determined and a fairly good agreement between the calculated and experimental hyperfine tensors was found.

Rules for Generating Conformers and Their Relative Energies in n-Alkanes with a Heteroelement O or S:  Ethers and Alcohols, or Sulfides and Thiols

P. Vansteenkiste, E. Pauwels, V. Van Speybroeck, M. Waroquier
Journal of Physical Chemistry A
109 (42), 9617–9626
2005
A1

Abstract 

With the aid of density functional theory calculations, all conformers of several single-chain alcohols, thiols, ethers, and sulfides are investigated. Starting from earlier computational works on n-alkanes, we construct an extended set of general rules for predicting the number and occurrence of conformers in these oxygen- or sulfur-containing compounds. In alcohols and thiols, it is found that only the conformers generated by internal rotations in the HXCH2CH2CH2 (X = O or S) top are distinctive from those in n-alkanes. In ethers and sulfides, the primary influence of the heteroelement also extends up to three internal rotations, but many more conformers are possible. However, a number of double gauche sequences are forbidden, and therefore, several conformers can be eliminated. These exclusions in particular make up a set of rules for eventually deducing all possible conformers. Furthermore, on the basis of only an exact calculation of these gg conformations in addition to single gauche conformers, it is possible to make an accurate estimate of the relative energy. This two-dimensional approximation scheme constitutes an effective tool for adequately describing the relative energies of all possible conformers at a minimal computational cost.

Discrete approach to self-consistent GW calculations in an electron gas

Y. Dewulf, D. Van Neck, M. Waroquier
Physical Review B
71 (24),245122
2005
A1

Abstract 

Recent debate considering the importance of combining the GW approach to the electron gas with vertex corrections urges a calculation that can deal with both concepts in a self-consistent way. A major difficulty is the complicated energy dependence of the electron spectral function. We therefore propose an approximation for the Green’s function that may be very useful for tackling a more complete treatment of the electron gas problem. The key concept in this approach is the representation of the Green’s function by a limited number of carefully chosen poles. In this paper we present results for self-consistent GW calculation and find that they compare quite well to other self-consistent approaches. This legitimizes the use of this scheme as a practical tool for more involved calculations.

Group additive values for the gas phase standard enthalpy of formation of hydrocarbons and hydrocarbon radicals

M. Sabbe, M. Saeys, M-F. Reyniers, G.B. Marin, V. Van Speybroeck, M. Waroquier
Journal of Physical Chemistry A
109 (33), 7466-7480
2005
A1

Abstract 

A complete and consistent set of 95 Benson group additive values (GAV) for the standard enthalpy of formation of hydrocarbons and hydrocarbon radicals at 298 K and 1 bar is derived from an extensive and accurate database of 233 ab initio standard enthalpies of formation, calculated at the CBS-QB3 level of theory. The accuracy of the database was further improved by adding newly determined bond additive corrections (BAC) to the CBS-QB3 enthalpies. The mean absolute deviation (MAD) for a training set of 51 hydrocarbons is better than 2 kJ mol-1. GAVs for 16 hydrocarbon groups, i.e., C(Cd)3(C), C−(Cd)4, C−(Ct)(Cd)(C)2, C−(Ct)(Cd)2(C), C−(Ct)(Cd)3, C−(Ct)2(C)2, C−(Ct)2(Cd)(C), C−(Ct)2(Cd)2, C−(Ct)3(C), C−(Ct)3(Cd), C−(Ct)4, C−(Cb)(Cd)(C)(H), C−(Cb)(Ct)(H)2, C−(Cb)(Ct)(C)(H), C−(Cb)(Ct)(C)2, Cd−(Cb)(Ct), for 25 hydrocarbon radical groups, and several ring strain corrections (RSC) are determined for the first time. The new parameters significantly extend the applicability of Benson's group additivity method. The extensive database allowed an evaluation of previously proposed methods to account for non-next-nearest neighbor interactions (NNI). Here, a novel consistent scheme is proposed to account for NNIs in radicals. In addition, hydrogen bond increments (HBI) are determined for the calculation of radical standard enthalpies of formation. In particular for resonance stabilized radicals, the HBI method provides an improvement over Benson's group additivity method.

N-Alkenyl-2-aziridinylmethyl Radicals and N-Alkenylaminyl Radicals in Cascade Cyclizations to Pyrrolizidines and Indolizidines

V. Van Speybroeck, N. De Kimpe, M. Waroquier
Journal of Organic Chemistry
70 (9), 3674-3681
2005
A1

Abstract 

The radical cascade cyclizations of N-alkenyl-2-aziridinylmethyl radicals to pyrrolizidines and indolizidines were examined using density functional theory (DFT) calculations. A large preference for cyclization to pyrrolizidines was found. These predictions corroborated very well with experimental results, leading to an efficient synthesis of pyrrolizidines. No radical cascade cyclization to indolizidines could be performed in practice as only ring opening of N-alkenyl-2-aziridinylmethyl radicals to N-allyl-N-alkenylamines occurred.

How should we calculate multi-dimensional potential energy surfaces for an accurate reproduction of partition functions?

P. Vansteenkiste, V. Van Speybroeck, E. Pauwels, M. Waroquier
Chemical Physics
314 (1-3), 109-117
2005
A1

Abstract 

The potential energy of n-hexane is studied since it constitutes a typical example of a single chain molecule in which various internal rotations are present and a large number of conformations are existing, which cannot be reached by using one-dimensional rotational energy profiles. For an accurate reproduction of the global partition function and all derived thermodynamic properties an adequate description of all possible conformers is necessary. The full three-dimensional potential energy surface of the internal rotations in n-hexane (3D-PES) is calculated at an ab initio level and compared with one-dimensional schemes to reproduce the energy. Due to the higher dimensionality of the relevant potential energy surface, the computational cost is very high. A new approximate scheme based on two-dimensional cuts is proposed that gives good accuracy for the relative conformational energies and kinetic energies at a reasonable computational cost. This scheme is of general use for any long chain molecule.

Ab initio EPR study of S and Se defects in alkali halides

F. Stevens, H. Vrielinck, F. Callens, E. Pauwels, V. Van Speybroeck, M. Waroquier
International Journal of Quantum Chemistry
102 (4), 409-414
2005
A1

Abstract 

Calculations using density functional theory are performed to study the electron paramagnetic resonance (EPR) and electron nuclear double resonance (ENDOR) properties of S and Se impurities in alkali halide lattices. Cluster in vacuo models are used to describe the defect and the lattice surroundings. The trivacancy defect model proposed in the literature is able to reproduce both the experimental principal values and directions of the g tensor for S and Se defects doped in alkali halides. The alternative monovacancy model gives rise to important discrepancies with experiment and can be discarded. For the KCl lattice, the hyperfine tensors of the S and Semolecular ions also agree well with the available experimental data, giving further evidence to the trivacancy model. In addition, for NaCl:S and KCl:S computational results for the 23Na and 35Cl superhyperfine and quadrupole tensors are compared with experimental ENDOR parameters. © 2004 Wiley Periodicals, Inc. Int J Quantum Chem, 2005

Comparative study of kinetics and reactivity indices of free radical polymerization reactions

K. Van Cauter, K. Hemelsoet, V. Van Speybroeck, M. Waroquier
International Journal of Quantum Chemistry
102 (4), 454-460
2005
A1

Abstract 

Density functional theory calculations are used to determine the kinetics and reactivity indices of the first propagation steps of the polyethylene and poly(vinyl chloride) polymerization. Transition state theory is applied to evaluate the rate coefficient from the microscopically determined energies and partition functions. A comparison with the experimental Arrhenius plots validates the level of theory. The ability of reactivity indices to predict certain aspects of the studied propagation reactions is tested. Global softnesses of the reactants give an indication of the relative energy barriers of subsequent monomer additions. The correlation between energy and hardness profiles along the reaction path confirm the principle of maximum hardness. Local indices predict the regioselectivity of the attack of the growing radical to vinyl chloride. © 2004 Wiley Periodicals, Inc. Int J Quantum Chem, 2005

DFT Investigation of Alkoxide vs Alkylammonium Formation in Amine-Substituted Zeolites

D. Lesthaeghe, V. Van Speybroeck, G.B. Marin, M. Waroquier
Journal of Physical Chemistry B
109 (16), 7952–7960
2005
A1

Abstract 

Density functional theory (DFT) cluster calculations were used to describe bifunctional acid−base properties of amine-substituted zeolites containing a Brønsted acid site. Preliminary results (J. Am. Chem. Soc. 2004, 126, 9162) indicated that efficient use of both functional groups might lead to a substantial lowering of activation barriers. In this paper, comparison is made between the alkoxide formation in zeolites containing only oxygen bridges and alkylammonium formation on the bridging NH groups in amine-functionalized zeolites for various guest species, such as methanol, ethene, and chloromethane. The amine functionalization only lowers barriers for SN2 type reactions with otherwise highly strained transition states, as is the case for chloromethane. In these new materials more basic sites are introduced into the zeolite framework, enabling optimal linear SN2 type transition states incorporating various T sites.

Study of radical defects in crystalline lattices from first-principles molecular dynamics simulations

V. Van Speybroeck, E. Pauwels, F. Stevens, F. Callens, M. Waroquier
International Journal of Quantum Chemistry
101 (6), 761-769
2005
A1

Abstract 

Theoretical calculations are presented to determine the structure of radical defects in crystalline lattices. The applications are concentrated on radical defects as they are induced by irradiation in organic crystals and paramagnetic molecular ions embedded in alkali halide lattices. Various approaches are possible to model the molecular environment: the single-molecule approach, the cluster approach, and periodic calculations. The latter are based on a Car-Parrinello formalism in which the molecular orbitals are expanded in a plane-wave basis set and in which the optimized structures at 0 K are obtained by a simulated annealing technique. The pros and cons of the various approaches are highlighted, and where possible comparison with experimental election paramagnetic resonance data are given. Due to the different natures of ionic and organic crystals, specific computational procedures are needed to get good correspondence with the experimental data. In various cases there is experimental evidence that some radical structures are submitted to noticeable changes with increasing temperature. These effects were theoretically reproduced by performing molecular dynamics calculations at elevated temperatures. (C) 2004 Wiley Periodicals, Inc. | Conference: 10th International Conference on the Applications of Density Functional Theory in Chemistry and Physics Location: Brussels, BELGIUM Date: SEP 05-12, 2003

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