Reversible and persistent electrical bistability in single crystals of a self-assembled pi-conjugated tetraaryl system: a submicrometer scale electrical characterization

A new pi-conjugated electroactive 4,4'-bipyridinium that bears two pyridazone self-complementary units was prepared and characterized. The new system readily assembles and forms at least two stable charge-transfer crystalline structures having a thermal population of unpaired electrons. The crystals of one phase exhibit electrical bistability, displaying either high (ON) and low (OFF) conductivity, at the same applied bias, depending on the electrical history of the system. The relation between the supramolecular structure of the crystals and their electrical properties is also discussed.     

Diastereoisomerically selective enantiomerically pure titanium complexes of Salan ligands: synthesis, structure, and preliminary activity studies

The degree of diastereoselectivity in the wrapping of four new chiral Salan ligands to form chiral-at-metal titanium complexes ranged from mild to perfect as a function of the ligands' N substituents; the enantiomerically pure complexes catalyzed the addition of diethyl zinc to benzaldehyde in 73-76% enantiomeric excess.     

Formation of hypervalent complexes of trifluorosilanes with pyridine and with 4-methoxypyridine, through intermolecular silicon...nitrogen interactions

Herein we report that trifluorohexylsilane (2), trifluorophenylsilane (3) and trifluoro(pentafluorophenyl)silane (4) form new hypervalent complexes with pyridine (py) and with 4-methoxypyridine (MeO-py), through intermolecular Si...N interactions. In general, stronger and more efficient binding is observed for the more electron poor (Si atom in) silane 4 and for the more electron rich (N atom in) 4-methoxypyridine. Binding constants of 15+/-2, 25+/-5, and 550+/-100 M(-1) at 25 degrees C in benzene were measured for the formation of the pentacoordinate 2.py, 3.py, and 3.MeO-py complexes, respectively. In addition, silane 3 also forms the hexacoordinate 3-2py and 3-2MeO-py complexes at low temperatures and silane 4 forms the 4-2py complex below room temperature and the 4-2MeO-py complex already at room temperature and in a high concentration. The various types of hypervalent complexes and different binding strengths described here for silanes 2-4 and previously for trifluoro(phenylethynyl)silane (1) and the possibility to modulate the binding modes (penta- vs hexacoordination) of these complexes (by the type of amine used, concentration, and the temperature applied) suggest that such new intermolecular Si...N interactions could be used as efficient and versatile binding motifs in supramolecular chemistry.     

Bessel identities in the waldspurger correspondence over the real numbers

We prove certain identities between Bessel functions attached to irreducible unitary representations ofPGL ₂(R) and Bessel functions attached to irreducible unitary representations of the double cover ofSL ₂(R). These identities give a correspondence between such representations which turns out to be the Waldspurger correspondence. In the process we prove several regularity theorems for Bessel distributions which appear in the relative trace formula. In the heart of the proof lies a classical result of Weber and Hardy on a Fourier transform of classical Bessel functions. This paper constitutes the local (real) spectral theory of the relative trace formula for the Waldspurger correspondence for which the global part was developed by Jacquet. Research of first author was partially supported by NSF grant DMS-0070762. Research of second author was partially supported by NSF grant DMS-9729992 and DMS 9971003.     

The use of jacobi's lemma in unimodularity theory

The paper applies Jacobi's fundamental result on minors of the adjoint matrix to obtain properties on determinants of unimodular matrices.     

Methode zur Messung der Torsionssteifheit von Fasern bei erh?hten Temperaturen und Drucken

Ohne Zusammenfassung     

Intramolecular dynamics: time evolution of superposition states in the regular and irregular spectrum

The time evolution of wavefunctions ψ(t) is compared in two systems, one with a regular energy spectrum and one with an irregular spectrum. The behavior of P(t) = {|[ψ(O)|ψ(y]}|² is found to be the same in both systems, P(t) decay is insensitive to the coupling between the degrees of freedom.     

‘Strong’-‘weak’ precedence in scheduling: Extensions to series-parallel orders

We examine computational complexity implications for scheduling problems with job precedence relations with respect to strong precedence versus weak precedence. We propose a consistent definition of strong precedence for chains, trees, and series-parallel orders. Using modular decomposition for partially ordered sets (posets), we restate and extend past complexity results for chains and trees as summarized in Dror (1997) [5]. Moreover, for series-parallel posets we establish new computational complexity results for strong precedence constraints for single- and multi-machine problems.