Smoothness in weakly compactly generated Banach spaces

If $\text{X}{}^1$ is a weakly compactly generated (WCG) Banach space, then X admits an equivalent C¹-smooth norm. If a WCG Banach space X admits a C^k-smooth function with bounded support, then X admits C^k-smooth partitions of unity.     

The reversible electrodeposition of trace metal ions from multi-ligand systems: Part II. Calculations on the electrochemical availability of lead at trace levels in seawater

A general method for calculating the electrochemical availability of a trace metal in a multi-ligand system is illustrated by calculations on lead in artificial seawater. The procedure adopted assumes that the metal is accumulated at a mercury-coated rotating disc electrode during the plating process by the reversible reduction of metal ions. Although uncertainties in the rate constants and stability constants employed prevent the model from being used predictively, qualitative relationships between chemical speciation and electrochemical availability are discussed. The sensitivity of the calculated electrochemical availability to uncertainties in the stability constants and rate constants and variations in diffussion layer thickness and pH is considered in some detail. The results of the calculations are used to formulate recommendations for the electrochemical analysis of untreated natural samples.     

Heterocycles from N-benzoylthioamides and dinucleophilic reagents

N-Benzoylthioamides ( 1 ) react with hydrazines and hydroxylamine to form 1H-1,2,4-triazoles and 1,2,4-oxadiazoles, respectively. A similar treatment of the S-methyl derivatives of 1 with amidines leads to 1,3,5-triazines. Ethyl ZV-benzoylthiocarbamate undergoes analogous reactions to yield the corresponding ethoxyheterocycles.     

Vanadogermanate cluster anions

Three novel vanadogermanate cluster anions have been synthesized by hydrothermal reactions. The cluster anions are derived from the (V(18)O(42)) Keggin cluster shell by substitution of V=O(2+) "caps" by Ge(2)O(OH)(2)(4+) species. In Cs(8)[Ge(4)V(16)O(42)(OH)(4)].4.7H(2)O, 1, (monoclinic, space group C2/c (No. 15), Z = 8, a = 44.513(2) A, b = 12.7632(7) A, c = 22.923(1) A, beta = 101.376(1) degrees ) and (pipH(2))(4)(pipH)(4)[Ge(8)V(14)O(50).(H(2)O)] (pip = C(4)N(2)H(10)), 2 (tetragonal, space group P4(2)/nnm (No. 134), Z = 2, a = 14.9950(7) A, c = 18.408(1) A), two and four VO(2+) caps are replaced, respectively, and each cluster anion encapsulates a water molecule. In K(5)H(8)Ge(8)V(12)SO(52).10H(2)O, 3, (tetragonal, space group I4/m (No. 87), Z = 2, a = 15.573(1) A, c = 10.963(1) A), four VO(2+) caps are replaced by Ge(2)O(OH)(2)(4+) species, and an additional two are omitted. The cluster ion in 3 contains a sulfate anion disordered over two positions. The cluster anions are analogous to the vanadoarsenate anions [V(18)(-)(n)()As(2)(n)()O(42)(X)](m)(-) (X = SO(3), SO(4), Cl; n = 3, 4) previously reported.     

Rapid high-performance liquid chromatographic analysis of adenovirus type 5 particles with a prototype anion-exchange analytical monolith column

To support effective process development there is a requirement for rapid analytical methods that can identify and quantitate adenoviral particles throughout the manufacturing process, from cellular lysate through to purified adenovirus. An anion-exchange high-performance liquid chromatography method for the analysis of adenovirus type 5 (Ad5) particles has been developed using a novel quaternary amine monolithic column (Bio-Monolith QA, Agilent). The developed method separates intact Ad5 from contaminating proteins and DNA, thus allowing analysis of non-purified samples during process development. Regeneration conditions were incorporated to extend the functional life of the column. Once developed, the method was qualified according to performance criteria of repeatability, intermediate precision and linearity. The linear working range of analysis was established between 7.5 × 10⁸ to at least 2.4 × 10¹⁰ viral particles (3 × 10¹⁰ to 9.6 × 10¹¹ viral particles/mL), with a correlation coefficient of 0.9992. Relative standard deviations (RSDs) for intra- and inter-day repeatability and precision for retention time and peak area were less than 1 and 2.5%, respectively.     

Near-threshold production of the multistrange Xi- hyperon

The yield for the multistrange Xi(-) hyperon has been measured in 6A GeV Au+Au collisions via reconstruction of its decay products pi(-) and Lambda, the latter also being reconstructed from its daughter tracks of pi(-) and p. The measurement is rather close to the threshold for Xi(-) production and therefore provides an important test of model predictions. The measured yield for Xi(-) and Lambda are compared for several centralities. In central collisions the Xi(-) yield is found to be in excellent agreement with statistical and transport model predictions, suggesting that multistrange hadron production approaches chemical equilibrium in high baryon density nuclear matter.     

Comparison of source images for protons, pi-'s, and lambda's in 6A GeV Au+Au collisions

Source images are extracted from two-particle correlations constructed from strange and nonstrange hadrons produced in 6A GeV Au+Au collisions. Very different source images result from pp vs p Lambda vs pi(-)pi(-) correlations. Scaling by transverse mass can describe the apparent source size ratio for p/pi(-) but not for Lambda/pi(-) or Lambda/p. These observations suggest important differences in the space-time emission histories for protons, pions, and neutral strange baryons produced in the same events.     

63Cu NQR in copper (II) compounds

We report observations of ⁶³Cu NQR in CuF₂, KCuF₃, and RbCuF₃ in the paramagnetic state, NQR line widths of ⁶³Cu in CuF₂ and CuBr₂ and of ⁸¹Br in CuBr₂, SnBr₂ and ZnBr₂. The NQR resonances of certain Cu (II) paramagnetic compounds are exchange-narrowed to values commensurate with linewidths of the diamagnetic infinite-lattice compounds.