Titration of binary mixtures of rare earth metals based on magnetic susceptibility measurements

Gouy balance weighings are used to monitor precipitation titrations of rare earth ions with standardized oxalate solutions. A procedure is described for the analysis of binary mixtures of these compounds. The accuracy of the determinations at the millimolar level depends on the magnetic moments of the components involved but is generally better than ±4%.     

Measurement of the hyperfine splitting of the 1s state in muonic 7Li as a search for axial-vector muon-nucleon interactions

The magnetic hyperfine splitting (h.f.s.) in the 1s state of ⁷Li has been measured with a precision of 1% using the bent-crystal spectrometer facility at the SIN muon channel. With an instrumental resolution of 2.5 eV FWHM the h.f.s. was completely resolved in the 2p-1s transition. The result is ΔE(M1) = 4684 ± 49meV. A comparison of this result with the electromagnetic value yields a new upper limit for the strength of a possible muon-nucleon interaction mediated by an axial-vector boson, which is much lower than those that can be derived from other present data.     

Computerized kalousek polarography

A versatile online computer-based system for Kalousek polarography features simultaneous recording of oxidation and reduction currents, averaging over successive scans, and processing of the polarographic data by curve-fitting. The accuracy for determinations of cadmium, potassium and lithium down to 10^-5 M is ± 5% for pulse rates up to 25 Hz.     

Disjoint factors of diameter two in complete graphs

Let f(k) be the least positive integer n such that the complete graph with n vertices has a decomposition into k factors of diameter two. It is well known that f(2) = 5, f(3) = 12 or 13, and 4k ?1 ? f(k) ? 7k for every integer k ? 4. In the present paper it is proved that 6k ? 52 ? f(k) ? 6k for every integer k ? 2. (For k ? 370 also a better lower estimate of f(k) is given.)     

Thioglycosides in sequential glycosylation strategies

This tutorial review surveys the use of thioglycosides in the development of sequential glycosylation methodologies, with a focus on chemoselective, orthogonal and iterative glycosylation strategies reported since the beginning of this century. Both fundamental aspects of glycosidic bond formation and ingenious state-of-the-art methodologies are presented.     

Zur Abschätzung der Eigenwerte einer beschränkten linearen Transformation mit Hilfe der singulären Werte

Ohne Zusammenfassung     

Synthesis of bis(tetramethylstibonium)tetracyclopentadienylstannate a novel type of organotin(II) compound

Reaction of dicyclopentadienyltin(II) with pentamethylantimony gives [Me₄Sb]₂⁺[(C₅H₅)₄Sn]^2?, the first example of an anionic organotin(II) species.     

On the Lebesgue constant for the Xu interpolation formula

In the paper [Y. Xu, Lagrange interpolation on Chebyshev points of two variables, J. Approx. Theory 87 (1996) 220–238], the author introduced a set of Chebyshev-like points for polynomial interpolation (by a certain subspace of polynomials) in the square [-1,1]², and derived a compact form of the corresponding Lagrange interpolation formula. In [L. Bos, M. Caliari, S. De Marchi, M. Vianello, A numerical study of the Xu polynomial interpolation formula in two variables, Computing 76(3–4) (2005) 311–324], we gave an efficient implementation of the Xu interpolation formula and we studied numerically its Lebesgue constant, giving evidence that it grows like , n being the degree. The aim of the present paper is to provide an analytic proof to show that the Lebesgue constant does have this order of growth.