γ-γ-Richtungskorrelationsuntersuchungen am Zerfall des185Os

Angular correlations of the gamma cascades (592-125), (162-718), (233-646), and (162-592) keV have been measured. The spin of the 879 keV level was found as 1/2. The mixing ratios of the 125, 162 and 718 keV gamma transitions were determined.     

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Mode locking in ac-driven vortex lattices with random pinning

We find mode-locking steps in simulated current-voltage characteristics of ac-driven vortex lattices with random pinning. For low frequencies there is mode locking above a finite ac force amplitude, while for large frequencies there is mode locking for any small ac force. This is correlated with the nature of temporal order in the different regimes in the absence of ac drive. The mode-locked state is a frozen solid pinned in the moving reference of frame, and the depinning from the step shows plastic flow and hysteresis.     

A random variational principle with application to weak Hadamard differentiability of convex integral functionals

We present a random version of the Borwein-Preiss smooth variational principle, stating that under suitable conditions, the set of minimizers of a perturbed function depending on a random variable, admits a measurable selection. Two applications are given. The first one shows that if is a superreflexive Banach space, then any convex continuous integral functional on from a certain class (in particular the usual norm), is weak Hadamard differentiable on a subset whose complement is -very porous. The second application is a random version of the Caristi fixed point theorem for multifunctions.

     

Synthesis of a 1'-aminomethylthymidine and oligodeoxyribonucleotides with 1'-acylamidomethylthymidine residues

Reported here is a 10-step synthesis of a phosphoramidite building block of 1'-aminomethylthymidine that starts from 2-deoxyribose. The framework of the branched aminonucleoside was elaborated from a known 1-cyano-1-bromo glycosyl donor, whose reaction with the silylated nucleobase furnished the 1'-cyanide, which was reduced to the desired aminomethylnucleoside. The N-allyloxycarbonyl (Alloc)-protected nucleoside was converted to a phosphoramidite building block and incorporated into the oligonucleotides 5'-GCAT*TATTAC-3', and 5'-GCAT*TAT*TAC-3', where T* denotes 1'-acylamidomethylthymidine residues. Removal of the Alloc protecting group and acylation with the residue of pyrene-1-yl-butanoic acid were achieved on support, using microwave irradiation to ensure full conversion. The UV-melting point of the duplex of the singly and doubly modified decamers with their fully complementary target sequence is 0.1-6.9 degrees C higher than that of the unmodified control duplex, depending on the salt concentration. This suggests that the aminomethyl linker may allow for the placing of a functional "payload" in the minor groove of DNA duplexes without disrupting the helix. Oligonucleotides thus endowed with functional modifications may become useful for biomedical applications.     

Olefins as steering ligands for homogeneously catalyzed hydrogenations

Iridium(I) complexes containing a (5H-dibenzo[a,d]cyclohepten-5-yl)-phosphane (tropp(R); R = phosphorus-bound substituent = Ph, Cyc) as a rigid, concave-shaped, mixed phosphane olefin ligand were prepared and tested as catalyst precursors in the hydrogenation of imines. With the complex [Ir(tropp(Cyc))(cod)]OTf, turnover frequencies (TOFs) of >6000 h(-1) were reached in the hydrogenation of N-phenyl-benzylidenamine, PhN==CHPh. Lower activities (TOF>80 h(-1)) are observed with N-phenyl-(1-phenylethylidene)amine, PhN==CMePh. Chiral tropp-type ligands were prepared in few simple steps. Monosubstitution of the olefinic unit in the dibenzo[a,d]cycloheptenyl moiety with (R)- or (S)-mentholate gave mixtures of diastereomers that could be separated and isolated in enantiomerically pure form. Iridium(I) complexes with these ligands are rare examples of side-on bonded enolether complexes. In catalytic imine hydrogenations, complete conversion (>98 %) was reached in all cases (conditions: p[H(2)] = 50 bar, T = 50 degrees C, t = 2 h, substrate/catalyst 100:1). The best enantiomeric excess (ee = 86 % S isomer) was reached with PhN==CMePh as substrate and the R,R form of the (10-menthyloxy-5H-dibenzo[a,d]cyclohepten-5-yl)diphenylphosphane ligand. The iridium(I) complex containing the same phosphane gave a 60 % ee (S isomer) with the enamide N-(1-phenylvinyl)acetamide as substrate (conditions: p[H(2)] = 4 bar, T = 50 degrees C, t = 18 h, substrate/catalyst = 50:1). These reactions constitute the first examples in which chiral olefins have been used as steering ligands in catalytic enantioselective hydrogenations.     

Cohomological invariants and R-triviality of adjoint classical groups

Using a cohomological obstruction, we construct examples of absolutely simple adjoint classical groups of type ²A_n with n3mod4, C_n or ¹D_n with n0mod4, which are not R-trivial hence not stably rational.Mathematics Subject Classification (2000): 11E57, 20G15in final form: 13 June 2003     

Error estimation and adaptive discretization for the discrete stochastic Hamilton–Jacobi–Bellman equation

Summary. Generalizing an idea from deterministic optimal control, we construct a posteriori error estimates for the spatial discretization error of the stochastic dynamic programming method based on a discrete Hamilton–Jacobi–Bellman equation. These error estimates are shown to be efficient and reliable, furthermore, a priori bounds on the estimates depending on the regularity of the approximate solution are derived. Based on these error estimates we propose an adaptive space discretization scheme whose performance is illustrated by two numerical examples.Mathematics Subject Classification (2000): 93E20, 65N50, 49L20, 49M25, 65N15Acknowledgments. This research was supported by the Center for Empirical Macroeconomics, University of Bielefeld. The support is gratefully acknowledged. I would also like to thank an anonymous referee who suggested several improvements for the paper.     

Elastic behavior of a two-dimensional crystal near melting

Using positional data from video microscopy, we determine the elastic moduli of two-dimensional colloidal crystals as a function of temperature. The moduli are extracted from the wave-vector-dependent normal-mode spring constants in the limit q-->0 and are compared to the renormalized Young's modulus of the Kosterlitz-Thouless-Halperin-Nelson-Young theory. An essential element of this theory is the universal prediction that Young's modulus must approach 16 pi at the melting temperature. This is indeed observed in our experiment.     

Electron-induced neutron knockout from 4He

The differential cross section for electron-induced neutron knockout in the reaction 4He(e,e(')n)(3)He has been measured for the first time with a statistical accuracy of 11%. The experiment was performed in quasielastic kinematics at a momentum transfer of 300 MeV/c and in the missing-momentum range of 25-70 MeV/c. The comparison of the data with theoretical calculations shows an impressive increase of the cross section resulting from final state interaction effects. Specifically, the p-n charge-exchange process dominates the cross section in this kinematical regime.