Nitrogen fixation: Part I. Electrochemical reduction of titanium compounds in the presence of catechol and N2 in MeOH or THF

The cyclic voltammetry of Cp₂TiCl₂ was studied in both MeOH and THF, at either glassy carbon or platinum electrodes. The effect of catechol added, as a complexation agent, on the shape of the voltammograms is also described. Controlled potential electrolysis (CPE) was employed to reduce CP₂TiCl₂ under an N₂ atmosphere in the presence of catechol. Ammonia was formed in low chemical yields (up to 0.11%), but selectively. The reduction was also investigated in the presence of a base (MeONa) and divalent cation (Mg²⁺). The ammonia yield increased to 0.65% and 1.45%, respectively. Other titanium compounds ((acac)₂TiCl₂, (i-PrO)₄Ti, TiCl₄, TiCl₃) were reduced under similar conditions and found to be less efficient for N₂ reduction than Cp₂TiCl₂.     

Scattering from non-overlapping potentials. I. General formulation

The problem of scattering from an assembly of non-overlapping spherical potentials is solved in partial-wave basis for each of the constituent potentials. The resulting scattering operator is a quotient of two infinite matrices and depends on “on-shell” partial wave amplitudes of the individual potentials. It suggests in general a truncation scheme which essentially considers only those partial waves effective for each collision at the given energy. The multiple-scattering series is recovered and limiting cases of low energy and high energy are considered. Applications to high-energy scattering of elementary particles on nuclei are briefly discussed.     

Scattering from nonoverlapping potentials. III. Pion elastic scattering on 4He in the 3,3 region

The $\text{π}{}^{\mathrm{?}}{}^4\text{He}$ elastic scattering in the 3,3 resonance region is discussed in the framework of the nonoverlapping potentials model. Single and double scattering terms are considered together with their modification by reflection terms, which allow the projectile to oscillate back and forth an arbitrary number of times within a pair of nucleons. Reflections and spin and isospin flips are found to constitute a determining factor in a qualitative reproduction of the correct shape of observed angular distributions, in particular for backward scattering angles. Reflections are probably unimportant in πd scattering.     

Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture

Let H be a real algebraic group acting equivariantly with finitely many orbits on a real algebraic manifold X and a real algebraic bundle \({\mathcal {E}}\) on X. Let \(\mathfrak {h}\) be the Lie algebra of H. Let \(\mathcal {S}(X,{\mathcal {E}})\) be the space of Schwartz sections of \({\mathcal {E}}\). We prove that \(\mathfrak {h}\mathcal {S}(X,{\mathcal {E}})\) is a closed subspace of \(\mathcal {S}(X,{\mathcal {E}})\) of finite codimension. We give an application of this result in the case when H is a real spherical subgroup of a real reductive group G. We deduce an equivalence of two old conjectures due to Casselman: the automatic continuity and the comparison conjecture for zero homology. Namely, let \(\pi \) be a Casselman–Wallach representation of G and V be the corresponding Harish–Chandra module. Then the natural morphism of coinvariants \(V_{\mathfrak {h}}\rightarrow \pi _{\mathfrak {h}}\) is an isomorphism if and only if any linear \(\mathfrak {h}\)-invariant functional on V is continuous in the topology induced from \(\pi \). The latter statement is known to hold in two important special cases: if H includes a symmetric subgroup, and if H includes the nilradical of a minimal parabolic subgroup of G.     

Tuning the critical temperature of cuprate superconductor films with self-assembled organic layers

Control over the T(c) value of high-T(c) superconductors by self-assembled monolayers is demonstrated (T(c) = critical temperature). Molecular control was achieved by adsorption of polar molecules on the superconductor surface (see scheme) that change its carrier concentration through charge transport or light-induced polarization.     

Stereoselective synthesis of decaprenylphosphoryl β-d-arabinofuranose

Decaprenylphosphoryl β-d-arabinofuranose (DPA) is known to be a key arabinose donor in mycobacteria. In order to study the biosynthesis of the major polysaccharides from the mycobacterial cell wall, it was necessary to develop a practical and stereoselective synthetic scheme for DPA. This goal was achieved by coupling of a suitably protected β-d-arabinofuranosyl phosphate intermediate with an activated form of decaprenol and subsequent deprotection.