Selective separation of metal ions by use of chelate-forming resins prepared by modification of conventional anion-exchangers with spadns and orange II

Anion-exchangers loaded with SPADNS or Orange II or SPADNS + Nitroso-R salt are used for selective separation of bismuth and cadmium, which are then determined by AAS.     

A class of solutions of Einstein-Maxwell equations

A metric defined by $\text{ds}{}^2\text{= [}\text{(p}{}^2\text{+ q}{}^2\text{)}\text{P}\text{] dp}{}^2\text{+ [}\text{P}\text{(p}{}^2\text{+ q}{}^2\text{)}\text{](dτ + q}{}^2\text{dσ)}{}^2\text{+ [}\text{(p}{}^2\text{+q}{}^2\text{)}\text{Q}\text{] dq}{}^2\text{? [}\text{Q}\text{(p}{}^2\text{+ q}{}^2\text{)}\text{](dτ ? p}{}^2\text{dσ)}{}^2$, with P = P(p), Q = Q(q), is studied; the first sections investigate its connections and curvature; the metric is of type D, with Einstein tensor of the electromagnetic algebraic type. Metrics with R = const are characterized by $\text{P}$ and $\text{Q}$ being polynomials of 4th order. In Section 5, by applying Rainich-Wheeler procedure, the electromagnetic field associated with the studied metric is constructed. Section 6 describes change-of-scale transformations of the derived solution of Einstein-Maxwell equations with λ; Sections 7 and 8 study geodesics and trajectories of charged test particles in the field of this solution; with H-J equation separable, the integration process reduces to quadratures. Section 9 gives a summary of basic results, Sections 10 and 11 investigate contractions of general solution with 6 continuous and 1 discrete parameter to the generalized NUT, anti-NUT and Bertotti-Robinson solutions. Section 12 specializes our general solution to the combined NUT and Kerr-Newman solution. Section 13 investigates a complex extension and the double Kerr-Schild form of our solution of Einstein-Maxwell equations with λ. Finally, Section 14 investigates the special-relativistic limit of the discussed solutions: a construction of a topology of flat space-time is proposed in such a manner, that in a sense it represents a “riemannian sheet” of the analytic structure of the electromagnetic field of the Kerr-Newman solution. Concluding remarks which indicate a further generalization of the present results, derived together with Demiañski, close this paper.     

On the Determination of Spin-Parity of Elementary Particles Produced in Collisions of Polarized Particles

In this paper we adopt Peshkin's “maximum complexity method” for reactions 0 + 1/2 → j + s, γ + 0 → j + 0 with polarized initial particles. The produced particles undergo the decays s → 0 + 1/2, and j decays strongly into 0 + 0 + 0. Study of certain correlations in such processes allows to determine the spins of the produced particles. Because the spin of the X° (960) meson is not firmly established we apply the general results obtained to the reactions: K?p → X° Δ, πp → X°N^★, _γHe → X°He.     

Symmetries induced by conserved vector currents in the theory of a scalar field

Let us consider a quantum theory of one scalar, real, local, Poincaré covariant fieldA(x) with the restricted spectrum condition (massive one particle states and a unique vacuum). The asymptotic fieldsA _{in out} (x) are assumed to be irreducible. Our conjecture is that under some technical assumptions the charge of every real, hermitean, locally conserved, Poincaré covariant quantum (pseudo) vector fieldj (x) relatively local toA(x), appearing in this theory-vanishes. This means that in a theory of one scalar, real field with a massive particle one can not expect to get symmetry groups induced by conserved (pseudo) vector currents, only by global, selfadjoint, Poincaré invariant generators.Our arguments can be easily extended to a theory of one complex scalar field, in this case the only symmetry transformation induced by a current can be the gauge transformation.We prove also that under very weak assumptions two fields related to each other by a unitary (or similarity) transformation are equal barring some patological cases.     

A 14N NMR study of the isomeric structures of urea and its analogues

In urea and its structural analogues differences in excess of 100 ppm are found in the nitrogen screening constants for the amide- and isoamide-type structures. The nitrogen chemical shifts are interpreted within the framework of Pople's gauge dependent atomic orbital approximation using INDO molecular orbitals. It is demonstrated that this method provides reasonable values for nitrogen absolute screening constants. The experimental data reported should be useful in examinations of tautomeric equilibria in amides and related structures.     

Determining Optimum Fertilizer Combinations Through Goal Programming with Penalty Functions: An Application to Sugar Beet production in Spain

A goal programming model was used to analyse optimum fertilizer combinations. Under this approach, the fertilizer requirements, instead of being fixed values as in traditional linear programming, are considered targets which may or may not be achieved. A penalty system coupled to the goal programming model makes the specified lower and upper levels of nutrients more flexible and realistic. A simple example is used to expound the model, and then applied to real data to give optimum combinations of fertilizers for sugar beet in Western Andalusia (Spain).     

The Painleve Ping-Pong P IV

We construct a transformation which generates new solutions for a one-parameter family of the fourth Painlevé equations. We obtain solutions with the same parameter values as in the given equation. Also we obtain new relations between two Painlevé transcendents of the fourth kind with different free parameters.     

Chromatographic method for the isolation of active 40S and 60S subunits from rat liver polyribosomes

A rapid and simple procedure for isolation of 40S and 60S ribosomal subunits by ion-exchange column chromatography is described. The dissociated ribosomes can be separated and non-ribosomal proteins and low-molecular-weight substances removed. An assessment by physicochemical and functional criteria showed that the ribosomal subunits obtained are active and sufficiently homogeneous.     

Geometry and ergodic theory of non-recurrent elliptic functions

We explore the class of elliptic functions whose critical points all contained in the Julia set are non-recurrent and whose ω-limit sets form compact subsets of the complex plane. In particular, this class comprises hyperbolic, subhyperbolic and parabolic elliptic maps. Leth be the Hausdorff dimension of the Julia set of such an elliptic functionf. We construct an atomlessh-conformal measurem and show that theh-dimensional Hausdorff measure of the Julia set off vanishes unless the Julia set is equal to the entire complex plane ℂ. Theh-dimensional packing measure is positive and is finite if and only if there are no rationally indifferent periodic points. Furthermore, we prove the existence of a (unique up to a multiplicative constant) σ-finitef-invariant measure μ equivalent tom. The measure μ is shown to be ergodic and conservative, and we identify the set of points whose open neighborhoods all have infinite measure μ. In particular, we show that ∞ is not among them. The research of the first author was supported in part by the Foundation for Polish Science, the Polish KBN Grant No 2 PO3A 034 25 and TUW Grant no 503G 112000442200. She also wishes to thank the University of North Texas where this research was conducted. The research of the second author was supported in part by the NSF Grant DMS 0100078. Both authors were supported in part by the NSF/PAN grant INT-0306004.     

Photoreflectance study of energy level structure of self-assembled InAs/GaAs quantum dots emitting at 1.3 μm

Photoreflectance and photoluminescence measurements were performed on the ensemble of self assembled InAs/GaAs quantum dots designed to emit at 1.3 μm. As many as six QDs-related optical transitions were observed in PR spectra, the energies of which were confirmed by high-excitation PL results. Numerical calculations allowed estimating the average size of the dots, which is larger than for standard InAs/GaAs QDs. This result is in agreement with structural data. Additionally, the energy level structure for such QDs was derived and compared with the electronic structure of standard InAs/GaAs dots. It was shown that the energy level structure of such large dots qualifies them for the active region of a laser emitting at 1.3 μm.