Isotopic oxygen exchange rates between [V18O42]12− and water

Summary From kinetic studies of¹⁸O-exchange between aqueous solutions of K₁₂V₁₈O₄₂ · 16H₂O and water it is concluded that [V₁₈O₄₂]^12– exists as a discrete ion in this medium. The rate of exchange is relatively slow (t_1/2 ca. 6×10⁴s at 0°C) and obeys the McKay equation within the precision obtainable. The sensitivity of the ion to its environment in the solid state, leading to induced exchange, prevented a decision as to whether all oxygens are kinetically equivalent. It is clear, however, that the ions remains intact for long periods in solution in the absence of air.     

Stability of m-matrix products

We investigate various types of stability for powers and products of nonsingular M-matrices. Stability of the matrix powers is categorized according to the length of the longest simple circuit in the digraph of the matrix, while stability of the general products is categorized by the order of the matrices. Additional results are given regarding stability of the Hadamard product of M-matrices and for matrices whose digraph has a longest simple circuit of length two.     

The NP-completeness column: An ongoing guide

This is the fifteenth edition of a quarterly column that covers new developments in the theory of NP-completeness. The presentation is modeled on that used by M. R. Garey and myself in our book “Computers and Intractability: A Guide to the Theory of NP-Completeness,“ W. H. Freeman & Co., New York, 1979 (hereinafter referred to as “[G & J]”; previous columns will be referred to by their dates). A background equivalent to that provided by [G & J] is assumed, and, when appropriate, cross-references will be given to that book and the list of problems (NP-complete and harder) presented there. Readers who have results they would like mentioned (NP-hardness, PSPACE-hardness, polynomial-time-solvability, etc.) or open problems they would like publicized, should send them to David S. Johnson, Room 2C-355, AT & T Bell Laboratories, Murray Hill, NJ 07974 (CSNET address: dsj.btl@csnet-relay). Please include details, or at least sketches, of any new proofs; full papers are preferred. If the results are unpublished, please state explicitly that you would like them to be mentioned in the column. Comments and corrections are also welcome. For more details on the nature of the column and the form of desired submissions, see the December 1981 issue of this Journal.     

Cationic di-iron complexes {[η-C5Fe(CO)2]2[μ-(CnH2n1)]}+

The reactions of the complexes [CpFe(CO)₂]₂[μ-(CH₂)_n with Ph₃CPF₆ yield cationic di-iron complexes of the type {[CpFe(C     

HPLC determination of clenbuterol in pharmaceutical gel formulations

A quick, accurate, reproducible high performance liquid chromatographic (HPLC) method for the determination of clenbuterol in the presence of some common pharmaceutical preservatives (i.e., methyl and propyl paraben) is described. The method is specific enough to separate and determine clenbuterol in the presence of degradation products of the formulation components. Extraction of interfering formulation components provides the necessary clean-up to determine clenbuterol via HPLC.     

On translation planes of orderq 2 that admit a group of orderq 2 (q−1); bartolone's theorem

This article is concerned with translation planesP of orderq ² and kernelK isomorphic toG F(q). IfP admits a collineation groupG in the linear translation. complement and the order ofG K/K isq ²(q?1) then it is shown thatP is either a semifield plane or is a Lüneburg-Tits, Walker or Betten plane. This generalizes earlier work of Bartolone.     

List multicolorings of graphs with measurable sets

In an ordinary list multicoloring of a graph, the vertices are “colored” with subsets of pre‐assigned finite sets (called “lists”) in such a way that adjacent vertices are colored with disjoint sets. Here we consider the analog of such colorings in which the lists are measurable sets from an arbitrary atomless, semifinite measure space, and the color sets are to have prescribed measures rather than prescribed cardinalities. We adapt a proof technique of Bollobás and Varopoulos to prove an analog of one of the major theorems about ordinary list multicolorings, a generalization and extension of Hall's marriage theorem, due to Cropper, Gyárfás, and Lehel. © 2006 Wiley Periodicals, Inc. J Graph Theory 54: 179–193, 2007     

Low temperature electrochemistry as a mechanistic probe for the partial reduction of heterocycles

The reduction of a series of electron deficient aromatic heterocycles has been examined using electrochemical techniques: the analysis was performed under anhydrous conditions at low temperature, so as to mimic typical synthetic reducing conditions.     

Synthesis and cation distribution of copper-substituted spinel-related lithium ferrite

Single-phased Cu²⁺-substituted spinel-related Li_0.5Fe_2.5O₄ was synthesized by sintering a mixture of Cu²⁺-substituted corundum-related α-Fe₂O₃ and Li₂CO₃ at 700 °C which is ∼325-400 °C lower than the temperature at which the material is prepared by the conventional ceramic methods. X-ray powder diffraction, X-ray photoelectron spectroscopy, Mössbauer spectroscopy and magnetic measurements were used to characterize the material. In contrast to high-temperature synthetic routes, the present one leads to a Cu⁺-and Fe²⁺-cation free material, thereby optimizing its technological value. Rietveld refinement of the XRD data favors a structural model in which Cu²⁺ substitutes for both Fe³⁺ and Li⁺ at the octahedral sites. Mössbauer and magnetic data are consistent with this model if spin thermal reversal and/or spin canting are taken into account for the later.     

Electroanalytical voltammetry in flowing solutions

A review is given of the principles, key developments and representative applications of small electrodes in flow-through electrochemical (ec) detectors having very low effective dead volume (<10 μl) for voltammetric and amperometric detection in flowing solutions. Emphasis is placed on factors contributing to high sensitivity, reliability and selectivity of ec detection as an integral part of larger analytical systems utilizing continuously flowing, unsegmented streams, e.g., flow-injection and liquid chromatographic analyses. Solid and mercury electrodes are considered under potentiostatic and potentiodynamic control. A review is given also of auxiliary chemical and photolytic derivatizations coupled to ec detection. The majority of the literature on the subject relates to liquid chromatography with electrochemical detection (l.c./ec); however, applications to these concepts to specific examples in flow-injection systems, as well as for on-line process control, should be obvious. Details of chromatographic separations and design of total analytical systems are not reviewed.