Construction of conducting and photoconducting 3D structures with submicron resolution in electrooptical substrates

It is shown that the implantation of protons in electrooptical substrates enables the construction of 3D structures with submicron features that are both conductive and photoconductive embedded in amorphized regions that possess reduced refractive index. The conductivity and photoconductivity are attributed to the transformation of the material into a degenerate semiconductor due to the formation of high concentration of OH⁻ complexes that are created by the bonding of the implanted H⁺ ions to the O⁻² ions of the lattice. It is argued that these results extend significantly the capabilities of integrated photonic circuits and devices fabricated by Refractive Index Engineering by ion implantations.     

Text Indexing and Dictionary Matching with One Error

The indexing problem is where a text is preprocessed and subsequent queries of the form “Find all occurrences of pattern P in the text” are answered in time proportional to the length of the query and the number of occurrences. In the dictionary matching problem a set of patterns is preprocessed and subsequent queries of the form “Find all occurrences of dictionary patterns in text T” are answered in time proportional to the length of the text and the number of occurrences.There exist efficient worst-case solutions for the indexing problem and the dictionary matching problem, but none that find approximate occurrences of the patterns, i.e., where the pattern is within a bound edit (or Hamming) distance from the appropriate text location.In this paper we present a uniform deterministic solution to both the indexing and the general dictionary matching problem with one error. We preprocess the data in time O(n log² n), where n is the text size in the indexing problem and the dictionary size in the dictionary matching problem. Our query time for the indexing problem is O(m log n log log n + tocc), where m is the query string size and tocc is the number of occurrences. Our query time for the dictionary matching problem is O(n log³ d log log d + tocc), where n is the text size and d the dictionary size. The time bounds above apply to both bounded and unbounded alphabets.     

Magnetic excitations in Cu6 and Mn6 hexagons embedded in D3d-symmetric polyoxotungstates

In this article we reconsider the discussion of the magnetic measurements for the two novel polyoxotungstates, (n-BuNH(3))(12)[(CuCl)(6)(AsW(9)O(33))(2)].6H(2)O and (n-BuNH(3))(12)[(MnCl)(6)(SbW(9)O(33))(2)].6H(2)O, which have been synthesized and characterized by Yamase et al. (Inorg.Chem. 2006, 45, 7698). Analysis of the magnetic susceptibility and magnetization for Cu(6)(12+) and Mn(6)(12+) hexagons based on the exact diagonalization of isotropic exchange Hamiltonian shows that the best-fit first-neighbor coupling parameters are J = 35 and 0.55 cm(-1), respectively, while the second-neighbor interactions are very small. These values exceed considerably those obtained by Yamase et al. (J = 8.82 and 0.14 cm(-1)) on the basis of the Kambe-Van Vleck formula that is inappropriate for six-membered rings. We also got perfect fits to the experimental data for the field dependence of magnetization at 1.8 K. The results imply the importance of axial anisotropy, which is shown to be especially pronounced for the Mn(6)(12+) cluster. We discuss also the symmetry assignments of exchange multiplets to the exact SGamma terms (full spin, S, and irreducible representation, Gamma, of the point group) and correlate the results with the selection rules for the anisotropic magnetic contributions. The antisymmetric exchange is shown to appear in orbitally degenerate multiplets as a first-order perturbation and gives rise to an easy axis of magnetization along the C(6) axis. Evaluation of the Zeeman levels shows that the field applied in the plane of the hexagon fully reduces the effect of the antisymmetric exchange.     

Preparation and conformation of dioxocalix[4]arene derivatives

CrO(3) oxidation experiments conducted on atropisomeric forms of 2 (2(paco), 2(1,3)(-)(alt), and 2(1,2)(-)(alt)) indicate that under the reaction conditions only methylene groups located between pairs of geminal rings oriented in an anti disposition are oxidized to carbonyls. NMR data suggest that the tetrahydroxydioxocalix[4]arenes 7 and 9 adopt the partial cone and 1,2-alternate conformations, respectively. In the crystal structure of 7.2EtOAc the dioxocalixarene adopts a partial cone conformation, whereas 9 adopts in the crystal a 1,2-alternate conformation. In both conformations, pairs of geminal rings connected to a carbonyl are oriented in an anti fashion. The relative stability of the partial cone and 1,2-alternate conformations of 7 and 9 is underestimated by MM3 calculations. The topomerization barriers of 7 and 9 are 12.8 and 13.6 kcal mol(-)(1), respectively.     

Oligonucleotide loaded polypeptide‐peptide nanoparticles towards mitochondrial‐targeted delivery

Nanoparticles (NPs) consisting of biodegradable and biocompatible polymers may have the ability to deliver a cargo to specific tissue, cell type, and organelle. Various diseases, which are linked to mitochondrial genome (mtDNA) mutations and have no effective treatments, may be approached by gene therapy strategies. In this study, we adapted the recently developed mitochondria delivering polypeptide‐peptide nanoparticles (PoP‐NPs) system to carry an oligonucleotide cargo to the proximity of the mitochondria. PoP‐NPs are formulated by self‐assembly of the negatively charged polypeptide, poly gamma glutamic acid (γ‐PGA), with an amphiphilic and cationic β‐sheet peptide (PFK). Here, we show that PFK interacts favorably with oligonucleotides and thereby enables the formation of DNA‐loaded PoP‐NPs (DNA‐PoP‐NPs). DNA‐PoP‐NPs could be assembled with different peptide to oligonucleotide (N/P) ratios, and their targeting to the proximity of mitochondria in cell culture could be facilitated through NPs coating with PFK peptide.     

Carbon nanotubes in emulsion‐templated porous polymers: Polymer nanoparticles,sulfonation, and conductivity

Sulfonated polymers are of interest for ion exchange resins, reaction supports, and membranes for separation, filtration, fuel cells, and electrochemical devices. Sulfonic groups have been introduced into polystyrene (PS) through exposure to sulfuric acid, and carbon nanotubes (CNTs) have been added to polymers to enhance proton conductivity without creating an electronic percolation pathway. PolyHIPEs, emulsion‐templated porous polymers with highly interconnected hierarchical open‐cell porous structures, are synthesized through polymerization in the external phases of high internal phase emulsions (HIPEs). In this article, the synthesis of PS‐based CNT‐filled polyHIPEs, their structure, sulfonation, and conductivity are described. Adding CNT dispersions to the HIPEs produced polymer nanoparticle–covered polyHIPEs from polymerization within the water‐soluble surfactant micelles in the internal aqueous phase droplets. The CNTs migrated from the HIPE's aqueous phase droplets into the HIPE's organic phase and formed interconnected bundles within the polyHIPE walls, reflecting a reduction in the surfactant's ability to disperse the CNTs. The water adsorption in the hygroscopic sulfonated polyHIPEs increased the conductivity by several orders of magnitude. The conductivity of the sulfonated polyHIPE containing CNTs was more than an order of magnitude greater than that of the sulfonated polyHIPEs with no CNTs. The CNTs act as “bridges,” enhancing the connection between existing conductive pathways. © 2013 Wiley Periodicals, Inc. J. Polym. Sci., Part A: Polym. Chem. 2013, 51, 4369–4377     

A Planar 3-Convex Set is Indeed a Union of Six Convex Sets

Suppose S is a planar set. Two points $a,b$ in S  see each other via S if $[a,b]$ is included in S . F. Valentine proved in 1957 that if S is closed, and if for every three points of S, at least two see each other via S, then S is a union of three convex sets. The pentagonal star shows that the number three is the best possible. We drop the condition that S is closed and show that S is a union of (at most) six convex sets. The number six is best possible.