Reducing Huge Gyroscopic Eigenproblems by Automated Multi-level Substructuring

Simulating numerically the sound radiation of a rolling tire requires the solution of a very large and sparse gyroscopic eigenvalue problem. Taking advantage of the automated multi-level substructuring (AMLS) method it can be projected to a much smaller gyroscopic problem, the solution of which however is still quite costly since the eigenmodes are non-real and complex arithmetic is necessary. This paper discusses the application of AMLS to huge gyroscopic problems and the numerical solution of the AMLS reduction. A numerical example demonstrates the efficiency of AMLS.     

Zur Theorie der orthogonalen Substitutionen

Ohne Zusammenfassung     

Low-energy fission investigated in reactions of 750 AMeV 238U-ions on 208Pb. II: Isotopic distributions

Projectile fission of 750 AMeV ²³⁸U-ions interacting with a Pb target was studied by means of the spectrometer FRS, GSI-Darmstadt. One of the two fission fragments was detected with a transmission of few percent and identified in mass and charge. Low-energy fission (E^* < 25 MeV) events were selected by their magnetic rigidity. Whereas the production of asymmetric fission events is dominated by the GDR excitation, very asymmetric fission and symmetric fission take place after a GQR or DGDR excitation or after a nuclear interaction. Cross sections of more than 250 isotopes were measured. Isotopic distributions of low-energy fission were reconstructed for elements from Se to Te. The fission modes SI, SII and SL were clearly shown in these distributions and in the mass and TKE distributions. Charge polarization and mass dispersion were deduced for each fission mode. Finally, the characteristics of the low-energy fission process explain the production rates of neutron-rich species. Received: 14 July 1997 / Revised version: 6 October 1997     

Coloring mixed hypertrees

A mixed hypergraph is a triple (V,C,D) where V is its vertex set and C and D are families of subsets of V, called C-edges and D-edges, respectively. For a proper coloring, we require that each C-edge contains two vertices with the same color and each D-edge contains two vertices with different colors. The feasible set of a mixed hypergraph is the set of all k's for which there exists a proper coloring using exactly k colors. A hypergraph is a hypertree if there exists a tree such that the edges of the hypergraph induce connected subgraphs of the tree.We prove that feasible sets of mixed hypertrees are gap-free, i.e., intervals of integers, and we show that this is not true for precolored mixed hypertrees. The problem to decide whether a mixed hypertree can be colored by k colors is NP-complete in general; we investigate complexity of various restrictions of this problem and we characterize their complexity in most of the cases.     

EPR-untersuchungen an carbonsäureestern—II : Radikalanionen der thion- und dithiobenzoesäureester

Alkyl thione (2) and dithiobenzoates (3) as well as their aryl substituted derivatives 4 and 5 may be converted into radical anions by in situ electroreduction.—The EPR spectra of 2–5 are measured. Conclusions about the spin density distribution within the aromatic ring and the functional group are drawn from the hyperfine structure coupling constants, g-values and polarographic half wave potentials, whereby the effect of ortho substituents (twisting of the two halves of the molecule) is especially considered.—The results agree sufficiently with MO calculations of the McLachlan type.Inspection of the alkyl coupling constants

shows that the alkyl groups exhibit conformations of minimum steric hindrance of the thiocarbonyl group.     

Anti-metatype antibodies in immunoassays

In this review anti-metatype antibodies are described invoking new principles in immunoassay development. Anti-metatype antibodies are immunological reagents specific for the conformation of the liganded antibody active site which do not interact with bound ligand or unliganded antibody. Relationships between anti-metatype antibody reactivity and the ligand-induced conformational state of monoclonal antibodies are reviewed with emphasis on the fluorescein hapten as a small molecule model system. One characteristic result of the interaction of anti-metatype antibodies with liganded antibodies is a significant delay in the dissociation rate (k₂) of the ligand bound within the primary immune complex. The latter is an important consideration for assay development. Polyclonal and monoclonal anti-metatype antibody reagents are characterized in terms of their differential effects on the ligand dissociation rate. Anti-metatype antibody reactivity is further discussed in terms of protein-protein specificity patterns and relative interactions with idiotype-family members, structural derivatives, and site-specific mutants. Incorporation of principles inherent in the anti-metatype concept and their application to assay development are summarized.Abbreviations D₂O deuterium oxide - Fab 50 kd antibody fragment containing V_HC_H1 + V_LC_L domains - FITC(I) fluorescein isothiocyanate (isomer I) - Fv 26 kd fragment of the antibody molecule containing the variable domains of the H and L chains - Ig immunoglobulin - IgG immunoglobulin G with a mol. wt. of 150 kd. - IgM immunoglobulin M with a mol. wt. of 10⁶d - Id idiotype - Ka antibody affinity (k₁/k₂) in M^–1 - k₁ second order rate of ligand association in M^–1s^–1 - k₂ first order rate of ligand dissociation in s^–1 - K_D dissociation constant or the reciprocal of the affinity constant (1/Ka) - Mab monoclonal antibody - Met metatype - NMR nuclear magnetic resonance - SCA single chain Fv derivative containing a synthetic linker between the two variable domains - V_H variable domain of the antibody H chain - V_L variable domain of the antibody L chain     

Spectral Properties of Fluorescein in Solvent-Water Mixtures: Applications as a Probe of Hydrogen Bonding Environments in Biological Systems

Although fluorescein is a widely used fluorescent probe in the biosciences, the effect of solvent environment on its spectral properties is poorly understood. In this paper we explore the use of fluorescein as a probe of the state of hydrogen bonding in its local environment. This application is based on the observation, originally made by Martin ( Chem. Phys. Lett . 35, 105–111, 1975), that the absorption maximum of fluorescein undergoes substantial shifts in organic solvents related to the hydrogen bonding power of the solvents. We have extended this work by studying the spectral properties of the dianion form of the probe in solvent–water mixtures. We show that the magnitude of the shift correlates with the α and β parameters of Kamlet and Taft ( J. Am. Chem. Soc . 98, 377–383; 2886–2894, 1976), which provide a scale of the hydrogen bond donor acidities and acceptor basicities, respectively, of the solvents. In solvent–water mixtures, these shifts reflect general effects of the solvents on the hydrogen bonding environment of the fluorescein through water–solvent hydrogen bonding and specific effects due to fluorescein–solvent hydrogen bonding. Indeed, both the absorption and fluorescence properties appear to be dominated by these effects indicating that the spectral shifts of the dianion can be used as an indicator of its hydrogen bonding environment. We discuss the application of fluorescein as a probe of hydrogen bonding in the microenvironment immediately surrounding the fluorophore, and we illustrate the effect with reference to the fluorescein–antifluorescein antibody complex where it appears that antibodies selected during the immune response possess binding sites that are increasingly dehydrated and hydrophobic.     

EPR-untersuchungen an carbonsäureestern—III: Thiooxalsäureester-radikalanionen

Polarographic and cyclovoltammetric investigation of the thiooxalates 1–6 shows that they are reversibly reduced to the corresponding radical anions. Accordingly, EPR spectra are obtained after in-situ electroreduction. Taking also the electronic spectra into consideration, conclusions about the spin density distribution can be drawn. It is shown thatp^π is higher at the oxygen atoms of oxoesters than at the sulfur atoms of the corresponding thiono esters.     

High temperature corrosion behaviour of M(Co,Ni)CrAIY-coatings on high temperature materials-microanalytical investigations

In our former investigations, the phenomenon high temperature corrosion (HTC) was described exemplarily on selected materialcoating combinations for blades of stationary gas turbines, mainly in the temperature region of up to 750° C. To answer the question, in which manner higher gas inlet and/or higher material surface temperature would influence the HTC behaviour, a special analytical technique—the integral layer profile analysis—was introduced to ameliorate concentration profile methods. By examining IN 738 LC specimens with CoCrAlY plasma spray coating, stressed by hot gas at 900° C, the limits of this system are shown by explaining the corrosion mechanism; the method is also used for other systems, e.g. U 520 with NiCrAlY coating at 750° C.