Three‐dimensional blockmodels

In the classic blockmodel formulation, a social network among members of a population with n actors and k relations (types of tie) is arrayed as k n X n matrices. Though this is a three‐dimensional data structure, it is typically reduced to a two‐way analysis. In this paper, a three‐way procedure for analyzing multigraph data is developed. Specifically, in addition to applying the rule of structural equivalence to collapse actors, it is also applied to the relations (the third dimension), and structurally equivalent sets of relations are collapsed. The result is a three‐dimensional blockmodel (image) of social structure that is a more parsimonious representation of social structure than the classic two‐dimensional blockmodel images. The three‐dimensional approach is illustrated by application to three case studies: Homan's Bank Wiring Room, Sampson's monastery, and a local economy of hospital services. The structural equivalence approach to relations is further explored by applying it to the individual‐level Liking and Antagonism relations and their compounds (of length four or less) in the Bank Wiring Room. This application demonstrates that the structural equivalence approach can be used to identify equality equations for primitive and compound relations.     

Temperature dependent characteristics of La2O2S: Ln [Ln=Eu, Tb] with various Ln concentrations over 5-60 °C

This research is aimed at developing an optical sensor for remotely measuring human skin temperature in electromagnetically hostile environments, such as within a magnetic resonance imaging (MRI) scanner. In this feasibility study, various concentrations of europium-doped lanthanum oxysulphide (La₂O₂S: Eu—0.1-15 mol% (m/o)) and terbium-doped lanthanum oxysulphide (La₂O₂S: Tb—0.005-50 m/o) have been investigated in terms of crystallinity, photoluminescent (PL) spectral and decay time characteristics. For both phosphors, X-ray diffraction (XRD) has shown that as dopancy increases, the (1 0 0) and (0 0 2) reflections merge and there is a reduction in the c-axis parameter as well as the crystallite size. Photoluminescent characterisation (337 nm excitation) has also shown a dependency to dopant concentration through variance of peak intensity. Temperature dependent decay time measurements were carried out over a low temperature range 5-60 °C. Optimum brightness of these temperature dependent lines is achieved at concentrations of 1 and 10 m/o for La₂O₂S: Eu and La₂O₂S: Tb respectively. However, optimum temperature dependency is achieved at lower concentration for La₂O₂S: Eu, specifically at 0.1 m/o. In comparison to conventional phosphor temperature dependent characteristic, La₂O₂S: Tb showed an increase in decay time with respect to temperature for concentrations above 2 m/o.     

Lie geometry of flat fronts in hyperbolic space

We propose a Lie geometric point of view on flat fronts in hyperbolic space as special Ω-surfaces and discuss the Lie geometric deformation of flat fronts.     

Photophysical effect of the coordination of water by ruthenium(II) bipyridyl complexes containing hemilabile phosphine-ether ligands

A substantial concentration-dependent red shift of the absorption and emission spectra (77 K) of [Ru(bpy)(2)(POMe-P,O)](2+) (1) (POMe = (2-methoxyphenyl)diphenylphosphine) is reported. NMR experiments show this shift to be due to equilibration of 1 with an aquo complex (1b) (K(eff) = (6 +/- 3) x 10(-3)) that forms upon displacement of the coordinated ether in the hemilabile POMe ligand. The excited-state lifetimes of 1 and 1b at 77 K in solid 2:1 ethanol/acetone solution are tau = 2.13 +/- 0.02 and 1.95 +/- 0.02 mus, respectively. The preparation and X-ray crystal structure of a related complex, [Ru(bpy)(2)(PO(i)Pr-P)(OH(2))](PF(6))(2) (2b) (PO(i)Pr-P = (2-(2-propoxy)phenyl)diphenylphosphine), is also reported. In solution, this species exists as an equilibrium mixture of complexes that cannot be readily separated. This species also has concentration-dependent absorption spectra in 2:1 ethanol/acetone solution, with a significant red shift (20 nm) at lower concentrations.     

Invariant Manifolds and the Long-Time Asymptotics of the Navier-Stokes and Vorticity Equations on R2

We construct finite-dimensional invariant manifolds in the phase space of the Navier-Stokes equation on R ² and show that these manifolds control the long-time behavior of the solutions. This gives geometric insight into the existing results on the asymptotics of such solutions and also allows us to extend those results in a number of ways.     

Noncovalent engineering of carbon nanotube surfaces by rigid,functional conjugated polymers

We report a new nonwrapping approach to noncovalent engineering of carbon nanotube surfaces by short, rigid functional conjugated polymers, poly(aryleneethynylene)s. Our technique not only enables the dissolution of various types of carbon nanotubes in organic solvents, which represents the first example of solubilization of carbon nanotubes via pi-stacking without polymer wrapping, but could also introduce numerous neutral and ionic functional groups onto the carbon nanotube surfaces.     

Generalized ellipsometry for biaxial absorbing materials: determination of crystal orientation and optical constants of Sb(2)S(3)

We demonstrate generalized ellipsometry for precise measurement of the principal indices of refraction, the extinction coefficients, and the orientations of the crystal a, b, and c axes of orthorhombic absorbing materials. Stibnite (Sb(2)S(3)) single crystals cut approximately parallel to (100), (010), (001), and (313) are studied at a representative wavelength of 589 nm. The (313) surface is sufficient for retrieval of all optical constants. The expected effects of surface over-layer formation are removed numerically. We propose generalized ellipsometry as a powerful tool for measurement of anisotropic optical function spectra of biaxial materials.     

SPIN LABELED CYSTEINES AS SENSORS FOR PROTEIN-LIPID INTERACTION AND CONFORMATION IN RHODOPSIN

In stoichiometric amounts, the spin label N-tempoyl-(p-chloromercuribenzamide) reacts rapidly with one cysteine residue in membrane-bound bovine rhodopsin. This residue is distinct from the two reactive cysteines previously used as attachment sites for spectroscopic labels, and is on the external surface of the protein near the cytoplasmic membrane/aqueous interface. The spin-labeled side chain has revealed a light-induced conformational change in membrane-bound rhodopsin that is apparently not associated with protein aggregation. The changes are reversible upon the addition of 11-cis retinal, and the magnitude of the change is dependent on the identity of the phospholipid in the surrounding bilayer. Alteration of lipid composition has a much larger effect on bleached rhodopsin than rhodopsin itself, indicating that the former is more readily deformable in response to changes in bilayer properties. This is consistent with the loss of 11-cis retinal binding energy in opsin compared to rhodopsin. These results provide direct structural evidence that the conformation of a membrane protein can be modulated by the lipid properties.     

Hypocholesterolemic agent compactin. an alternative diels-alder strategy for the synthesis of the hexahydronaphthalene portion

The synthesis of the hexahydronaphthalene segment (4) of compactin (1) has been accomplished in a short sequence (8 steps from 9) featuring the intramolecular Diels-Alder cycloaddition of 7b.