Affinity Labelling at the 4-Hydroxyl Group of N-Acetylglucosamine and N-Acetylgalactosamine

Derivatives of N-acetylgalactosamine and N-acetylglucosamine in which the 4-OH group could be selectively labelled have been prepared from a common precursor.     

Laser-diode-pumped phosphosilicate-fiber Raman laser with an output power of 1 W at 1.48 mum

An all-fiber 1.48-mum generator based on a laser-diode-pumped Yb-doped double-clad laser and a cascaded Raman wavelength converter has been developed. Second-order Raman Stokes radiation was generated in a phosphosilicate-fiber resonator formed by two pairs of Bragg gratings. A slope efficiency of the Raman converter of 48% with respect to the power emitted by the double-clad Yb laser has been achieved. We obtained an output power of 1 W at a slope efficiency of 34% with respect to the laser-diode array power, with a total optical-to-optical efficiency of 23%.     

A minimization problem concerning subsets of a finite set

Let F be the set of subsets of a finite set S, and for H ? F, let H′ denote the elements of F which are contained in some element of H. Given integers m_l and m_l+1 does there exist a subset H of F consisting of exactly m_ll-element subsets of S and m_l+1 (l+1)-element subsets of S such that no two elements of H are related by set-wise inclusion, and if such sets H do exist what the smallest |(l?1)(H′)| can be, where |(l?1)(H′)| is the number of (l?1)-element subsets of S in H′? A generalization of this problem, which was posed by G. Katona, is solved in this paper with the help of the generalized Macaulay theorem [2].     

More on the generalized Macaulay theorem

Let k₁ ? k₂ ? … ? k_n be given positive integers and let F denote the set of vectors (l₁, …, l_n) with integer components satisfying 0 ? l_i ? k_i, i = 1, 2, …, n. If H is a subset of F, let (l)H denote the subset of H consisting of those vectors with component sum l, and let C((l)H) denote the smallest [(l)H] elements of (l)F. The generalized Macaulay theorem due to the author and B. Lindström [3] shows that |Gamma;((C)(l)(H)|, ? |Γ(C((l)H))|, where Γ((l)H) is the setof vectors in F obtainable by subtracting l from a single component of a vector in (l)H. A method is given for computing [Γ(C((l)H)] in this paper. It is analogous to the method for computing |Γ(C(l)H))| in the k₁ = … = k_n = 1 case which has been given independently by Katona [4] and Kruskal [5].     

A boundary integral equation method for the solution of a class of crack problems

A boundary integral equation method for the solution of an important class of crack problems in elasticity is outlined. The method is applicable for deformations in which the crack faces remain in contact. Specific numerical examples are considered to illustrate the application of the method.     

A study of molecular motion in a liquid-crystalline copolyester by broad-line nuclear magnetic resonance

Broad-line nuclear magnetic resonance (NMR) measurements have been carried out for the proton resonance in an oriented liquid-crystalline copolyster prepared from 4-hydroxybenzoic acid (HBA) and 2-hydroxy-6-naphthoic acid (HNA). The Second moments were determined as a function of the angle γ between the specimen orientation direction and the static magnetic field. The low-temperature NMR results are consistent with a rigid structure of random copolymer chains arranged on a hexagonal lattice. As the temperature is raised the NMR signal changes and can be modeled very satisfactorily by considering that there is free rotation of the benzene ring residues about the 1-4 substitution direction. At more elevated temperatures the observed NMR spectra are consistent with rotation of both HBA and HNA groups.     

Adiabatic calorimetry of the metallomesogen purple cobalt stearate Co(O2CC17H35)2

The heat capacity of the metallomesogen purple cobalt stearate Co(O₂CC₁₇H₃₅)₂ has been measured by adiabatic calorimetry at temperatures between 16 and 420 K. This compound exhibits two crystalline phases (low temperature Cr2 and high temperature Cr1 phases), mesophase (M phase), and isotropic liquid (I phase). A third crystalline phase Cr3, which is entirely metastable with respect to all the others, is suggested by DSC studies. The Cr2-to-Cr1, Cr1-to-M, and M-to-I phase transitions occurred at 362.1, 380.9, and 400.4 K, respectively. The enthalpy and entropy gains at these phase transitions were determined. The mesophase is either smectic A or nematic.