A general class of cut-off model field theories

We show that Heisenberg picture fields and their vacuum expectation values exist for a wide class of cut-off interactions among fermions and bosons.Alfred P. Sloan Foundation Fellow.On leave from Princeton University     

Charge-transfer Zn-porphyrin derivatives with very large two-photon absorption cross sections at 1.3-1.5 microm fundamental wavelengths

A series of charge-transfer Zn-porphyrin derivatives with large two-photon absorption cross sections at 1.3-1.5 microm fundamental wavelengths are designed using time-dependent hybrid density functional theory. The fluorescence of these chromospheres is expected to be in the region of 700-900 nm. These unique features make them suitable for a variety of biophotonic and telecommunication applications.     

Comparison of large basis set DFT and MP2 calculations in the study of the barrier for internal rotation of 2,3,5,6‐tetrafluoroanisole

The barrier for internal rotation around the ? OCH₃ bond in 2,3,5,6‐tetrafluoroanisole was calculated using the density functional theory (DFT) and second‐order Møller–Plesset (MP2) methods with Pople's basis sets up to 6‐311++G(3df,2p) and Jensen basis sets up to pc‐3. The results are converged only if fairly large basis sets are used (at least 6‐311++G(3df,2pd) or pc‐2). Both the DFT and MP2 potential energy curves show internal structure. Two minima and three maxima are observed on the curves, arising from the interplay between lone‐pair delocalization and changes in the hybridization around the oxygen atom, together with the attraction between the positively polarized hydrogens in the methyl group and the negatively polarized fluorine atom at the ortho position. These critical points are somehow ironed out by the addition of zero‐point and thermal corrections to the energy curves. At this level, the MP2 method can describe reasonably well the previously determined single‐well experimental rotational barrier, 2.7 ± 2.0 kcal/mol at 298 K, while all DFT methods yield a much smaller result. As observed experimentally, the ? OCH₃ group is perpendicular to the aryl ring in the equilibrium structure, although two very close minima with an intermediate hump at 90° are still observable. The theoretical free energy barrier of rotation at the MP2(full)/pc‐2 level is 2.0 ± 1.0 kcal/mol, in reasonable agreement with the experimental determination. © 2006 Wiley Periodicals, Inc. Int J Quantum Chem, 2007     

Frequency decay for Navier–Stokes stationary solutions

We consider stationary Navier–Stokes equations in ${\mathbb{R}}^3$ with a regular external force and we prove the exponential frequency decay of the solutions. Moreover, if the external force is small enough, we give a pointwise exponential frequency decay for such solutions. If a damping term is added to the equation, a pointwise decay is obtained without the smallness condition over the force.     

Tractable embeddings of Besov spaces into small Lebesgue spaces

This paper deals with dimension‐controllable (tractable) embeddings of Besov spaces on n‐dimensional torus into small Lebesgue spaces. Our techniques rely on the approximation structure of Besov spaces, extrapolation properties of small Lebesgue spaces and interpolation.     

Surface Defects Activating New Reaction Paths: Formation of Formate during Methanol Oxidation on Ru(0001)

Methanol was co‐adsorbed with oxygen on Ru(0001) under conditions approaching those of real catalysts: at room temperature and at relatively high pressures and exposures, together with a comparative analysis of flat and defective surfaces. To clarify reaction routes, parallel exposures to formaldehyde and oxygen have also been analyzed. It is found that for both mixtures of gases, a new reaction path is activated on defective surfaces, in which methanol is oxidized to formate. Furthermore, at variance with pure methanol adsorption, apart from CO, various intermediates are observed in both flat and defective surfaces. On flat surfaces, formaldehyde and formyl are recognized whereas on defective ones methoxy and formate are detected. A model involving steering effects is presented, which accounts for the activity of surface defects towards the synthesis of formate.     

Study of a monolithic silica capillary column coated with poly(octadecyl methacrylate) for the reversed-phase liquid chromatographic separation of some polar and non-polar compounds

The performance of a monolithic silica capillary column coated with poly(octadecyl methacrylate) (ODM column) for the reversed-phase liquid chromatographic separation of some polar and non-polar compounds was studied, and the results were compared to those obtained by using a monolithic silica capillary column modified with octadecylsilyl-(N,N-diethylamino)silane (ODS column). Benzene and naphthalene derivatives, polycyclic aromatic hydrocarbons (PAHs), steroids, alkyl phthalates, and tocopherol homologues were used as test samples. In general, compounds with aromatic character, rigid and planar structures, and lower length-to-breadth ratios (more compacted structures) seem to have more preference for the polymer coated stationary phase (ODM). Compounds with acidic character have also a higher retention on ODM columns because of the presence of ester groups in the stationary phase. The polymer coated column allowed the separation of some PAHs, alkyl phthalates, steroids, and of beta- and gamma-tocopherol isomers which cannot be separated under the same conditions on ODS columns, while keeping similar column efficiency. These results allowed to suggest ODM columns as a good alternative to conventional ODS columns for reversed-phase liquid chromatography.     

Some considerations about NS5 and LST Hawking radiation

We have studied the Hawking radiation corresponding to the NS5 and Little String Theory (LST) black hole models using two semi-classical methods: the complex path method and a gravitational anomaly. After summarizing some known concepts about the thermodynamics of these theories, we have computed the emission rates for the two black hole models. The temperature calculated from, e.g. the well-known surface gravity expression, is shown to be identical to that obtained from both the computation of the gravitational anomaly and the complex path method. Moreover, the two semi-classical methods show that NS5 exhibits non-thermal behavior that contrasts with the thermal behavior of LST. We remark that energy conservation is the key factor leading to a non-thermal profile for NS5. In contrast, LST keeps a thermal profile even when energy conservation is considered because temperature in this model does not depend on energy.     

Electrical Behaviour of Heterobimetallic [MM′(EtCS2)4] (MM′=NiPd,NiPt, PdPt) and MM′X‐Chain Polymers [PtM(EtCS2)4I] (M=Ni,Pd)

Herein, we report the isolation of new heterobimetallic complexes [Ni_0.6Pd_1.4(EtCS₂)₄] ( 1 ), [NiPt(EtCS₂)₄] ( 2 ) and [Pd_0.4Pt_1.6(EtCS₂)₄] ( 3 ), which were constructed by using transmetallation procedures. Subsequent oxidation with iodine furnished the MM′X monodimensional chains [Ni_0.6Pt_1.4(EtCS₂)₄I] ( 4 ) and [Ni_0.1Pd_0.3Pt_1.6(EtCS₂)₄I] ( 5 ). The physical properties of these systems were investigated and the chain structures 4 and 5 were found to be reminiscent of the parent [Pt₂(EtCS₂)₄I] species. However, they were more sensitively dependent on the localised nature of the charge on the Ni ion, which caused spontaneous breaking of the conduction bands.