Von der Reaktion zwischen Arsenit und Permanganat in schwefelsauren L?sungen

Ohne Zusammenfassung     

Photochemical reduction of iron trichloride in ethyl acetate: synthesis,Mössbauer spectra and the crystal structure at 80 K of hexakis(ethyl acetate)iron(II) bis-tetrachloroironate(III)

FeCl₃ in ethyl acetate under the influence of sunlight, undergoes partial reduction yields the [Fe(CH₃CO₂Et)₆](FeCl₄)₂ salt. The Mössbauer spectra showed that the iron atoms are at +2 and +3 oxidation states. The crystal structure determined by X-ray diffraction methods at 80 K and refined by full-matrix least-squares techniques toR=0.028 for 2410 independent non-zero reflections is in good agreement with the Mössbauer results. The [Fe(CH₃CO₂Et)₆]²⁺ cations occupy centers of symmetry and the Fe²⁺ ions are octahedrally coordinated by six carbonyl oxygen atoms of six ethyl acetate molecules.     

Misfit-Dislocation Induced Surface Morphology of InGaAs/GaAs Heterostructures

The correlation between the surface cross-hatched morphology and the interfacial misfit dislocations in partially relaxed InGaAs/GaAs heterostructures was studied by means of atomic force microscopy and electron-beam induced current mode in a scanning electron microscope. A close correspondence between the misfit-dislocation network at the interface and the surface morphology shows that the cross-hatch development results primarily from the misfit-dislocation generation. Statistical analysis of the surface roughness reveals an anisotropy in strain relaxation of the epitaxial layers, which results from an asymmetry in the misfit-dislocation formation.     

Reaction between magnesium chloride and iron(III) chloride in tetrahydrofuran. The crystal structure of Di-μ-chlorodichloroiron(II) tetrakis(tetrahydrofuran)magnesium(II)

The direct reaction between magnesium chloride and iron(III) chloride in tetrahydrofuran (THF) yields the [MgCl(THF)₅][FeCl₄] complex (I). It is unstable and in reacting with THF undergoes reduction to produce the complex FeCl₂(μ-Cl)₂Mg(THF)₄ (II). Crystals of (II) are orthorhombic, space group Pbcn, with a = 9.18(1) b = 16.30(2) c = 15.85(1)Å. The structure was solved by the heavy atom method and refined by least squares to R = 0.053 for 1194 observed diffractometer data. The molecule is heterobimetallic with an Fe…Mg distance 3.455(3)ǎ and the Fe and Mg atoms are bridged by two Cl atoms.     

Effective action and cluster properties of the abelian Higgs model

We continue our program to establish the Higgs mechanism and mass gap for the abelian Higgs model in two and three dimensions. We develop a multiscale cluster expansion for the high frequency modes of the theory, within a framework of iterated renormalization group transformations. The expansions yield decoupling properties needed for a proof of exponential decay of correlations. The result of this analysis is a gauge invariant unit lattice theory with a deep Higgs potential of the shape required to exhibit the Higgs mechanism.Research partially supported by the National Science Foundation under Grant DMS-8602207 and by the Air Force Office of Scientific Research under Grant AFOSR-86-0229Alfred P. Sloan Research Fellow. Research partially supported by the National Science Foundation under Grants PHY-84-13285 and PHY-85-13554Research partially supported by the National Science Foundation under Grant PHY-85-13554     

Population equilibrium with support in evolutionary matrix games

In this paper we consider symmetric bimatrix games [A, A^T]. We use a matrix operator s(A), defined as the sum of the cofactors of the given matrix A, for finding the population equilibrium and its fitness in evolutionarily matrix games with all supported strategies, and to complete Bishop-Cannings Theorem.