Controlled Diffusions with Constraints, II

We consider the ergodic control for a controlled nondegenerate diffusion when m other (m finite) ergodic costs are required to satisfy prescribed bounds. Under a condition on the cost functions that penalizes instability, the existence of an optimal stable Markov control is established by convex analytic arguments.

Covalent attachment of two important dicopper(II) systems in a one-dimensional polymeric chain: An x-ray structure of [Cu2(en)2(OH)2·Cu2(O2CMe)4](PF6)2·0.5EtOH]α showing the shortest Cucdots, three dots, centeredCu Distance in the tetraacetato core

Reaction of Cu2(O2CMe)4(H2O)2 with 1,2-diaminoethane(en) in ethanol, followed by the addition of NH4PF6, led to the formation of a covalently linked 1D polymeric copper(II) title complex showing alternating [Cu2(en)2(OH)22+] and [Cu2(O2CMe)4] units in the chain and the shortest Cucdots, three dots, centeredCu separation of 2.558(2) Å in the tetraacetato core.

Crystal structures, spectral and magnetic properties of (µ-hydroxo)(µ-acetato)dicopper(II) complexes containing chelating amines

The reaction of [Cu2(O2CMe)4(H2O)2] with N, N, N′, N′-tetramethylethane- 1,2-diamine (tmen) in ethanol yielded the dicopper(II) complex [Cu2(OH)(O2CMe)(tmen)2][ClO4]21. A similar reaction with N, N- dimethylethane- 1,2-diamine (dmen) afforded a crystalline product 2 in which two dicopper(II) complexes, [Cu2(OH)(O2CMe)(dmen)2][ClO4]22a and [Cu2(OH)(O2CMe)(H2O)2(dmen)2][ClO4]22b, are cocrystallized in a 1 : 1 molar ratio along with 2NaClO4. The crystal structures of 1 and 2 have been determined. The complexes have an asymmetrically dibridged [Cu2(µ-OH)(µ-O2CMe)]2+ core. The co-ordination geometry of the metal is square planar (CuO2N2). The copper atoms in 2b have a square-pyramidal CuO3N2 co-ordination sphere. The Cu Cu distances and Cu–O–Cu angles in 1, 2a and 2b are 3.339(2), 3.368(3), 3.395(7)Å, 120.1(2), 116.4(1) and 123.6(2)°, respectively. Complex 1 exhibits an axial ESR spectrum in a methanol glass giving g∥= 2.26 (A∥= 164 × 10–4 cm–1) and g⊥= 2.04. The ESR spectra obtained from the bulk material of the dmen product are indicative of the presence of two dimers, viz. complex 2a(g∥= 2.25, A∥= 165 × 10–4 cm–1; g⊥= 2.03) and 2b(g∥= 2.19, A∥= 184 × 10–4 cm–1; g⊥= 2.0). Variable-temperature magnetic susceptibility measurements on these complexes show an intramolecular antiferromagnetic coupling in the dimeric core. The fitting parameters are J=–27.8 cm–1, g= 2.1 for complex 1 and J=–10.1 cm–1, g= 2.0 for 2. The magnetostructural properties of the complexes are discussed. There is a linear correlation of the –2J values with the Cu Cu distances among dibridged complexes having square-planar copper(II) centres.

Effect of Substitution of Ca on Thermal Expansion of Cordierite (Mg2Al4Si5O18)

The effect of substitution of calcium on the anisotropic axial thermal expansion of cordierite was investigated by using a high-temperature X-ray diffraction technique. The compositions were prepared by the sol–gel route. In the Mg2-xCax-Al4Si5O18 system, single-phase cordierite can be prepared for x up to 0.5. Thermal expansion anisotropy (αa–αc) of cordierites reduces progressively by the substitution of increasing amounts of Ca for Mg.

De "de" : Estudio histórico-comparativo de los usos y la semántica de la preposición "de" en español

El presente estudio supone un intento de describir y analizar el uso de la preposición "de" sobre la base de un corpus diacrónico, con énfasis en las diferentes relaciones semánticas que establece. Partiendo de un total de más de 16.000 casos de "de" hemos establecido 48 categorías de uso, que corresponden a cuatro tipos de construcción sintáctica, a saber, el uso de "de" como complemento de nombres (CN), verbos (CV), adjetivos (CA) y, finalmente, su uso como núcleo de expresiones adverbiales independientes (CI). El estudio consta de tres partes fundamentales. En la parte I, se introduce la Lingüística Cognitiva, que constituye la base teórica esencial del trabajo. Más exactamente, se introducen conceptos como la teoría del prototipo, la teoría de las metáforas conceptuales y la gramática cognitiva, especialmente las ideas de "punto de referencia" y "relación intrínseca" (Langacker 1995, 1999). La parte II incluye el análisis de las 48 categorías. En esta parte se presentan y comentan casi 2.000 ejemplos del uso contextual de "de" extraídos del corpus diacrónico. Los resultados más importantes del análisis pueden resumirse en los siguientes puntos: El uso de "de" sigue siendo esencialmente el mismo en la actualidad que hace 800 años, en el sentido de que todas las 48 categorías se identifican en todas las épocas del corpus. El uso de "de" como complemento nominal va aumentando, al contrario de lo que ocurre con su uso como complemento verbal. En el contexto nominal son especialmente las relaciones posesivas más abstractas las que se hacen más frecuentes, mientras que en el contexto verbal las relaciones que se hacen menos frecuentes son las de separación/alejamiento, causa, agente y partitivo indefinido. Destaca la importancia del siglo XVIII como época de transición entre un primer estado de las cosas y otro posterior, en especial en relación con el carácter cada vez más abstracto de las relaciones posesivas así como con la disminución de las categorías adverbales de causa, agente y partitivo. Pese a la variación en el contexto inmediato de uso, el núcleo semántico de "de" se mantiene inalterado. La parte III toma como punto de partida los resultados del análisis de la parte II, tratando de deslindar el aporte semántico de la preposición "de" a su contexto de uso del valor de la relación en conjunto. Así, recurriendo a la metodología para determinar el significado básico y la metodología para determinar lo que constituyen significados distintos de una preposición (Tyler , Evans 2003a, 2003b), se llega a la hipótesis de que "de" posee cuatro significados básicos, a saber, 'punto de partida', 'tema/asunto', 'parte/todo' y 'posesión'. Esta hipótesis, basada en las metodologías de Tyler y Evans y en los resultados del análisis de corpus, se intenta verificar empíricamente mediante el uso de dos cuestionarios destinados a averiguar hasta qué punto las distinciones semánticas a las que se llega por vía teórica son reconocidas por los hablantes nativos de la lengua (cf. Raukko 2003). El resultado conjunto de los dos acercamientos tanto refuerza como especifica la hipótesis. Los datos que arroja el análisis de los cuestionarios parecen reforzar la idea de que el núcleo semántico de "de" es complejo, constando de los cuatro valores mencionados. Sin embargo, cada uno de estos valores básicos constituye un prototipo local, en torno al cual se construye un complejo de matices semánticos derivados del prototipo. La idea final es que los hablantes son conscientes de los cuatro postulados valores básicos, pero que también distinguen matices más detallados, como son las ideas de 'causa', 'agente', 'instrumento', 'finalidad', 'cualidad', etc. Es decir, "de" constituye un elemento polisémico complejo cuya estructura semántica puede describirse como una semejanza de familia centrada en cuatro valores básicos en torno a los cuales se encuentra una serie de matices más específicos, que también constituyen valores propios de la preposición. Creemos, además, que esta caracterización semántica es válida para todas las épocas de la historia del español, con unas pequeñas modificaciones en el peso relativo de los distintos matices, lo cual está relacionado con la observada variación diacrónica en el uso de "de".

CA\TG Sequence at the 5'end of Oligo(A)-tracts Strongly Modulates DNA Curvature

An analysis of the base pair doublet geometries in available crystal structures indicates that the often reported intrinsic curvature of DNA containing oligo-(d(A).d(T)) tracts may also depend on the nature of the flanking sequences. The presence of CA/TG doublet in particular at the 5' end of these tracts is expected to enhance their intrinsic bending property. To test this proposition, three oligonucleotides, d(GAAAAACCCCCC), d(CCCCCCAAAAAG), d(GAAAAATTTTTC), and their complementary sequences were synthesized to study the effect of various flanking sequences, at the 5' and 3' ends of the A-tracts, on the curvature of DNA in solution. An analysis of the polyacrylamide gel electrophoretic mobilities of these sequences under different conditions of salts and temperatures (below their melting points) clearly showed that the oligomer with CA/TG sequence in the center was always more retarded than the oligomer with AC/GT sequence, as well as the oligomer with AT/AT sequence. Hydroxyl radical probing of the sequences with AC/GT and CA/TG doublet junctions gives a similar cutting pattern in the A-tracts, which is quite different from that in the C-tracts, indicating that the oligo(A)-tracts have similar structures in the two oligomers. KMnO4 probing shows that the oligomer with a CA/TG doublet junction forms a kink that is responsible for its inherent curvature and unusual electrophoretic mobility. UV melting shows a reduced thermal stability of the duplex with CA/TG doublet junction, and circular dichroism (CD) studies indicate that a premelting transition occurs in the oligomer with CA/TG doublet step before global melting but not in the oligomer with AC/GT doublet step, which may correspond to thermally induced unbending of the oligomer. These observations indicate that the CA/TG doublet junction at the 5' end of the oligo(A)-tract has a crucial role in modulating the overall curvature in DNA.

On extremal solutions to stochastic control problems, II

The set of attainable laws of the joint state-control process of a controlled diffusion is analyzed from a convex analytic viewpoint. Various equivalence relations depending on one-dimensional marginals thereof are defined on this set and the corresponding equivalence classes are studied.

Organometallic chemistry of diphosphazanes. Part 7. Platinum(II), palladium-(o), -(I) and -(II) complexes of RN[P(OPh)2]2(R = Me or Ph)

The reactions of [MCl2(cod)](M = Pd or Pt, cod = cycloocta-1,5-diene) with RN[P(OPh)2]2[R = Me (L1) or Ph (L2)] afford the chelate complexes [MCl2L1] and [MCl2L2]. The dinuclear palladium(O) complex, [Pd2L13] has been synthesized by starting from [Pd2(dba)3](dba = dibenzylideneacetone). Redox condensation of [Pd2(dba)3] and [PdCl2(PhCN)2] in the presence of the diphosphazane ligands gives the dinuclear palladium(I) complexes [Pd2Cl2L12] and [Pd2Cl2L22]. The structures of the complexes have been deduced from 1H and 31P NMR spectroscopic data. Single-crystal X-ray diffraction studies confirm the structures of [Pd2L13] and [Pd2Cl2L22].

Palladium(II) chloride complexes of bis(pyrazolyl)cyclotriphosphazenes

Reactions of the bis(3,5-dimethylpyrazolyl)cyclotriphosphazene derivatives gem-N3P3(MeNCH(2)CH(2)O)(2)(dmp)(2) (1) and nongeminal cis-N3P3(OPh)(4)(dmp)(2) (2) with PdCl2 afford complexes of the type [PdCl2.(L)] (L = 1 or 2). In these complexes, the phosphazenes act as bidentate NN-donor ligands with the two pyrazolyl pyridinic nitrogen atoms bonded to the metal, thus forming a six- and an eight-membered chelate ring, respectively. The structures of 2 and [PdCl2.(2)] (4) have been confirmed by single-crystal X-ray diffraction. Crystal data for 2: a = 16.759(2) Angstrom, b = 10.788(3) Angstrom, c = 19.635(9) Angstrom, beta = 101.61(3)degrees, P2(1/c), Z = 4, R = 0.038 for 4688 reflections with F > 5 sigma(F). Crystal data for 4: a = 9.701(3) Angstrom, b = 24.853(4) Angstrom, c = 15.794(4) Angstrom, beta = 101.46(2)degrees, P2(1/n), Z = 4, R = 0.030 for 5416 reflections with F > 5 sigma(F).

Processing maps for hot working of Cu-Ni-Zn alloys Part II Alpha-Beta nickel silver

The constitutive behaviour of agr-beta nickel silver in the temperature range 600�850 °C and strainrate range 0.001�100s�1 was characterized with the help of a processing map generated on the principles of the dynamic materials model. On the basis of the flow-stress data, processing maps showing the variation of the efficiency of power dissipation (given by [2m/(m+1)], wherem is the strain-rate sensitivity) with temperature and strain rate were obtained, agr-beta nickel silver exhibits a single domain at temperatures greater than 700 °C and at strain rates lower than 1 s�1 with a maximum efficiency of power dissipation of about 42% occurring at about 850 °C and at 0.1 s�1. In the domain, the agr phase undergoes dynamic recrystallization and controls the deformation of the alloy, while the beta phase deforms superplastically. Optimum conditions for the processing of agr-beta nickel silver are 850 °C and 0.1 s�1. The material undergoes unstable flow at strain rates of 10 and 100 s�1 and in the temperature range 600�750 °C, manifestated in the form of adiabatic shear bands.

Reaction of spironaphthalenones with hydroxylamine: Part II. Structure of product in the reaction of 1′-substituted spironaphthalenone.

Reaction of 1′-aryl substituted spironaphthalenones 1a–d with hydroxylamine hydrochloride in ethanol gave substituted cinnamic ester derivatives 4a–d. Similarly, reaction of spironaphthalenone 1a with different alcohols gave the corresponding esters 4i–m. Reaction of unsymmetrical spironaphthalenones 1e–h with hydroxylamine hydrochloride in presence of ethanol gave the respective esters 4e–h. All the esters were characterised by their spectral data.

Solvation and axial ligation properties of (2,3,7,8,12,13,17,18-octabromo-5,10,15,20-tetraphenylporphyrinato)zinc(II)

he solvation of (2,3,7,8,12,13,17,18-octabromo-5,10,15,20-tetraphenylporphyrinato)zinc(II)[Zn(obtpp)], in twelve different solvents results in large red shifts of the B and Q bands of the porphyrin accompanied by enhanced absorbance ratios of the Q bands. These observations are ascribed to the destabilisation of the highest occupied molecular orbital a2u of the porphyrin arising from a flow of charge from the axial ligand to the porphyrin ring through the zinc(II) ion. The binding constants of adducts of [Zn(obtpp)] with neutral bases have been found to be an order of magnitude greater than those observed for the corresponding adducts of (5,10,15,20-tetraphenylporphyrinato)-zinc and vary in the order piperidine > imidazole > pyridine > 3-methylpyridine > pyridine-3-carbaldehyde. The enhanced binding constants and large spectral shifts are interpreted in terms of the electrophilicity of [Zn(obtpp)] induced by the electron-withdrawing bromine substituents in the porphyrin core. The structure of [Zn(obtpp)(PrCN)2] has been determined; it reveals six-co-ordinated zinc(II) with two long Zn–N distance [2.51(4), 2.59(3)Å]. The porphyrin is non-planar and displays a saddle-shaped conformation.