Spektroskopische und kristallographische Charakterisierung von [Cl3PNPCl3][MoOCl4] und die Kristallstruktur von [Cl3PNPCl3][MoCl6]

Spectroscopic and Crystallographic Characterization of [Cl₃PNPCl₃][MoOCl₄] and Crystal Structure of [Cl₃PNPCl₃][MoCl₆] [Cl₃PNPCl₃][MoCl₆] was obtained by reaction of MoCl₅ with [Cl₃PNPCl₃]Cl or [Cl₃PNPCl₃][PCl₆]. Its crystal was determined by X-ray diffraction (R = 0.072 for 889 observed reflexions). Lattice parameters: a = 811.9, b = 2086, c = 1016 pm, β = 101.7°, space group P2₁/c, Z = 4. The [Cl₃PNPCl₃]⁺ ions have a similar structure as in Cl₃PNPCl₃ [PCl₆] with PNP angles of 139°, but the crystal structures of the two compounds are not isotypic. Partial hydrolysis of [Cl₃PNPCl₃][MoCl₆] yields [Cl₃PNPCl₃][MoOCl₄] which forms green, very moisture sensitive crystals. X-ray diffraction patterns of [Cl₃PNPCl₃][MoOCl₄] single crystals exhibit planes of diffuse scattered radiation perpendicular to c^*, which show the presence of a two-dimensional disorder. Additional sharp reflexions correspond to an averaged structure with the lattice parameters a = 1598.4, b = 1141.2 and c = 415.1 pm, Z = 2, space group Pba2. Refinement of the averaged     

Hecke algebras of finite type are cellular

Let be the one-parameter Hecke algebra associated to a finite Weyl group W, defined over a ground ring in which “bad” primes for W are invertible. Using deep properties of the Kazhdan–Lusztig basis of and Lusztig’s a-function, we show that has a natural cellular structure in the sense of Graham and Lehrer. Thus, we obtain a general theory of “Specht modules” for Hecke algebras of finite type. Previously, a general cellular structure was only known to exist in types A _n and B _n .     

Basic sets of Brauer characters of finite groups of Lie type,III

LetG(F ^q ) be a finite classical group whereq is odd and the centre ofG is connected. We show that there exists a set of irreducible characters ofG(F ^q ) such that the corresponding matrix of scalar products with the characters of Kawanaka’s generalized Gelfand-Graev representations is square unitriangular. This uses in an essential way Lusztig’s theory of character sheaves. As an application we prove that there exists an ordinary basic set of 2-modular Brauer characters and that the decomposition matrix of the principal 2-block ofG(F ^q ) has a lower unitriangular shape.     

Evidence for concerted electron proton transfer in charge recombination between FADH- and 306Trp• in Escherichia coli photolyase

Proton-coupled electron-transfer (PCET) is a mechanism of great importance in protein electron transfer and enzyme catalysis, and the involvement of aromatic amino acids in this process is of much interest. The DNA repair enzyme photolyase provides a natural system that allows for the study of PCET using a neutral radical tryptophan (Trp(?)). In Escherichia coli photolyase, photoreduction of the flavin adenine dinucleotide (FAD) cofactor in its neutral radical semiquinone form (FADH(?)) results in the formation of FADH(-) and (306)Trp(?). Charge recombination between these two intermediates requires the uptake of a proton by (306)Trp(?). The rate constant of charge recombination has been measured as a function of temperature in the pH range from 5.5 to 10.0, and the data are analyzed with both classical Marcus and semi-classical Hopfield electron transfer theory. The reorganization energy associated with the charge recombination process shows a pH dependence ranging from 2.3 eV at pH ≤ 7 and 1.2 eV at pH(D) 10.0. These findings indicate that at least two mechanisms are involved in the charge recombination reaction. Global analysis of the data supports the hypothesis that PCET during charge recombination can follow two different mechanisms with an apparent switch around pH 6.5. At lower pH, concerted electron proton transfer (CEPT) is the favorable mechanism with a reorganization energy of 2.1-2.3 eV. At higher pH, a sequential mechanism becomes dominant with rate-limiting electron-transfer followed by proton uptake which has a reorganization energy of 1.0-1.3 eV. The observed 'inverse' deuterium isotope effect at pH < 8 can be explained by a solvent isotope effect that affects the free energy change of the reaction and masks the normal, mass-related kinetic isotope effect that is expected for a CEPT mechanism. To the best of our knowledge, this is the first time that a switch in PCET mechanism has been observed in a protein.     

Mo2O3Cl4(Pyridin)4 · CH2Cl2 Synthese,IR-Spektrum und Kristallstruktur

Mo₂O₃Cl₄(Pyridine)₄ · CH₂Cl₂. Synthesis, IR Spectrum, and Crystal Structure Reduction of MoO₂Cl₂(pyridine)₂ with triphenylphosphane in toluene and recrystallisation from CH₂Cl₂ yields brown crystal needles of the complex Mo₂O₃Cl₄(pyridine)₄ · CH₂Cl₂. The compound crystallizes monoclinic in the space group P2₁/c with four formula units per unit cell of the dimensions a = 1 234.6 pm; b = 1 593 pm, c = 1 522.3 pm and β = 105.66° A structural investigation by X-ray methods (3 276 independent observed reflexions, R = 0.033) reveals the molecule with two molybdenum atoms in a distorted octahedral coordination linked by an almost linear Mo? O? Mo bridge with bond distances of 167 and 168 pm, respectively. The chlorine atoms are located in trans-position to the oxygen atoms which have different trans effects: The Mo? Cl bond opposite the bridge (length 242 pm) is 8 pm shorter than the bond in trans position to the terminal oxo ligands. The pyridine nitrogen atoms are in trans position to each other and complete the coordination of the molybdenum atoms. The i.r. spectrum of the compound is reported.     

Polyfluorinated arylnitrosamines

N-Methyl-, N-n-butyl-, N-t-butylperfluoroarylamines undergo nitrosation with nitrous acid to give the corresponding N-nitroso derivatives. Perfluoroaryl groups were selected from the benzene, indane, biphenyl, naphthalene and pyridine series. According to ¹H and ¹⁹F NMR spectra, N-nitroso-N-methyl derivatives of polyfluoroarenes consist of E and Z isomers with the former prevailing. The more bulky n-butyl group promotes an increase in the formation of Z isomers. Only Z isomers have been obtained from N-t-butyl derivatives of perfluorinated 4-toluidine and 4-aminopyridine. The structure of the Z isomer of N-nitroso-N-methylperfluoro-4-toluidine is confirmed by X-ray data.     

On the Induction of Kazhdan-Lusztig Cells

Barbasch and Vogan showed that the Kazhdan–Lusztig cellsof a finite Weyl group are compatible with parabolic subgroups.Their proof uses the known bridge between the theory of cellsand the theory of primitive ideals. In this paper, an elementary,self-contained proof of this result is provided, which worksfor arbitrary Coxeter groups and Lusztig's general definitionof cells (involving Iwahori–Hecke algebras with unequalparameters). The argument is based on a recent paper by Howlettand Yin. 2000 Mathematics Subject Classification 20C08.     

Crew Assignment via Constraint Programming: Integrating Column Generation and Heuristic Tree Search

The Airline Crew Assignment Problem (ACA) consists of assigning lines of work to a set of crew members such that a set of activities is partitioned and the costs for that assignment are minimized. Especially for European airline companies, complex constraints defining the feasibility of a line of work have to be respected. We developed two different algorithms to tackle the large scale optimization problem of Airline Crew Assignment. The first is an application of the Constraint Programming (CP) based Column Generation Framework. The second approach performs a CP based heuristic tree search. We present how both algorithms can be coupled to overcome their inherent weaknesses by integrating methods from Constraint Programming and Operations Research. Numerical results show the superiority of the hybrid algorithm in comparison to CP based tree search and column generation alone.     

Substrate binding modulates the reduction potential of DNA photolyase

The reduction potential of the (FADH-/FADH*) couple in DNA photolyase was measured, and the value was found to be significantly higher than the values estimated in the literature. In the absence of substrate, the enzyme has a reduction potential of 16 +/- 6 mV vs NHE. In the presence of excess substrate the reduction potential increases to 81 +/- 8 mV vs NHE. The increase in reduction potential has physiological relevance since it gives the catalytic state greater resistance to oxidation. This is the first measurement of a reduction potential for this class of DNA-repair enzymes and the larger family of blue-light photoreceptors.