An abiotic analogue of the diiron(IV)oxo "diamond core" of soluble methane monooxygenase generated by direct activation of O2 in aqueous Fe(II)/EDTA solutions: thermodynamics and electronic structure

We study the generation of a dinuclear Fe(IV)oxo species, [EDTAH·FeO·OFe·EDTAH](2-), in aqueous solution at room temperature using Density Functional Theory (DFT) and Ab Initio Molecular Dynamics (AIMD). This species has been postulated as an intermediate in the multi-step mechanism of autoxidation of Fe(II) to Fe(III) in the presence of atmospheric O(2) and EDTA ligand in water. We examine the formation of [EDTAH·FeO·OFe·EDTAH](2-) by direct cleavage of O(2), and the effects of solvation on the spin state and O-O cleavage barrier. We also study the reactivity of the resulting dinuclear Fe(IV)oxo system in CH(4) hydroxylation, and its tendency to decompose to mononuclear Fe(IV)oxo species. The presence of the solvent is shown to play a crucial role, determining important changes in all these processes compared to the gas phase. We show that, in water solution, [EDTAH·FeO·OFe·EDTAH](2-) (as well as its precursor [EDTAH·Fe·O(2)·Fe·EDTAH](2-)) exists as stable species in a S = 4 ground spin state when hydrogen-bonded to a single water molecule. Its structure comprises two facing Fe(IV)oxo groups, in an arrangement similar to the one evinced for the active centre of intermediate Q of soluble Methane Monooxygenase (sMMO). The inclusion of the water molecule in the complex decreases the overall symmetry of the system, and brings about important changes in the energy and spatial distribution of orbitals of the Fe(IV)oxo groups relative to the gas phase. In particular, the virtual 3σ* orbital of one of the Fe(IV)oxo groups experiences much reduced repulsive orbital interactions from ligand orbitals, and its consequent stabilisation dramatically enhances the electrophilic character of the complex, compared to the symmetrical non-hydrated species, and its ability to act as an acceptor of a H atom from the CH(4) substrate. The computed free energy barrier for H abstraction is 28.2 kJ mol(-1) (at the BLYP level of DFT), considerably below the gas phase value for monomeric [FeO·EDTAH](-), and much below the solution value for the prototype hydrated ferryl ion [FeO(H(2)O)(5)](2+).     

Switching preconditioners using a hybrid approach for linear systems arising from interior point methods for linear programming

Numerical Algorithms - In general, interior point methods are successful in solving large-scale linear programming problems. Their effectiveness is determined by how fast they calculate each...     

Dissipative terms of thermal nature in the theory of an ideal monoatomic superfluid

A dissipative model of helium II was built up in previous works, using a 13-field extended thermodynamic theory formulated by Liu and Müller. In this work a generalization of such model is presented, where an extended thermodynamics with 14 fields due to Kremer is used. It is shown that the fourteenth field is able to account for the experimental data concerning the second sound attenuation. Further, the proposed theory is able to explain the Osborne experiment. Finally, a comparison with the two-fluid model is performed, emphasizing the different ways in which the dissipative phenomena are explained by the two theories.     

On trifactorized soluble minimax groups

This research was done while the last two authors were visitors at the University of Mainz. They are grateful to the Department of Mathematics for its excellent hospitality.     

The principle of imperfect synchronization: I. Ionization of carbon acids

The Principle of Imperfect Synchronization (PIS) states that a product stabilizing factor will lower the intrinsic rate of a reaction if it develops late, but increase the intrinsic rate if the factor develops early. It is shown in this paper that much of the structure-reactivity behavior of proton transfers involving carbon acids can be understood in the context of this principle. The factors discussed include the effect of resonance near the reaction site as well as in remote substituents, the polar effect of mote substituents, and the effects of solvation of reactants and products A sample matheatical formalism is developed to describe the contribution of each factor to the intrinsic rate constant. The possible reasons why there is a lack of synchronization between the various events which occur during the reaction are also discussed