Dispersion dynamics of crystal lattices

A new formalism is presented, which has not the difficulties of the conventionalGreen's function methods for disturbed lattice dynamics. The new method introduces aGreen's function and an eigenvector-function, which are defined in the wholeω-plane. A simple device allows to extract the conventional eigenvectors and eigenfrequencies from the eigenvector-function. AGreen's function formalism and a random-phase assumption make it possible to calculate the disturbed eigenvector-function from the undisturbed one in such a way that both are normalized to the respective density of frequencies. The formalism thus is well-fit to describe changes of the density of frequencies, shifts of the bands and discrete (localized) solutions outside the bands. Applicability to the elastic continuum and quantum mechanics seem also possible.     

Eine Konstruktion von Jordan-Algebren

Ohne Zusammenfassung     

Carbon-carbon bond cleavage by cytochrome p450(BioI)(CYP107H1)

Cytochrome p450(BioI)(CYP107H1) is believed to supply pimelic acid equivalents for biotin biosynthesis in Bacillus subtilis: we report here that the mechanistic pathway adopted by this multifunctional p450 for the in-chain cleavage of fatty acids is via consecutive formation of alcohol and threo-diol intermediates, with the likely absolute configuration of the intermediates also reported.     

PtCl2-catalyzed cycloisomerizations of 5-en-1-yn-3-ol systems

5-En-1-yn-3-ol substrates bearing a free hydroxyl group or an acyl group are highly versatile partners for PtCl2-catalyzed cycloisomerizations. Electrophilic activation of the alkyne moiety triggers at wish a hydride or an O-acyl migration yielding at the end to regioisomeric keto derivatives. The efficient preparation of Sabina ketone, an important monoterpene precursor, has been worked out.     

Pulse laser acoustics for the characterization of inhomogeneities at interfaces of microstructures

Interfaces between neighbouring materials are often subjected to diffusion processes which cause layers having gradually varying mechanical properties--like densities, Young's moduli or shear moduli--perpendicular to the surface or interface. In this investigation particular interest is drawn on the question how the propagation characteristics of bulk acoustic waves are affected by diffusion layers. The reflection and transmission behavior of bulk acoustic waves encountering a continuum having a spatially dependent sound velocity is discussed based on numerical simulations as well as on experimental verifications. The simulated results are part of an on-going project in which material properties of MEMS devices are investigated by short pulse laser acoustic methods. Mechanical waves are excited and detected thermoelastically using laser pulses of 70 fs duration. For metals this leads to wavelengths of 10-20 nm and the corresponding frequencies amount to 0.3-0.6 THz. In contrast to previous work done in this field in which diffusion effects are generally considered as undesirable phenomena, the deliberate realization of microstructures having well defined gradually varying material properties in one or more dimensions represents a goal of this investigation. For metallic thin film multilayers thermally induced diffusion processes have shown to be an easy and reliable technique for the realization of layered structures having continuously varying mechanical properties within several 10 nm. Among the experimental methods suitable for the in-depth profiling of submicron metallic thin films providing resolutions of several nanometers, are short pulse laser acoustic methods, Rutherford backscattering spectroscopy (RBS), and glow discharge optical emission spectroscopy (GDOES). Short pulse laser acoustic methods and RBS have the advantage to be nondestructive. The short pulse laser acoustic method is described in detail and RBS measurements are presented for verification purposes. Finally potential engineering applications like micro-machined spectrum analyzers, acoustic isolation layers, and band pass filters, operating at very high frequencies are presented.