Interpolation of shared π-bonds in cyclofusene

Cyclofusene is a corona-condensed benzenoid whose graph-theoretic representation consists of hexacycles with exactly two non-adjacent shared II-bonds. We showed that the number of linear chains, k, is an upper bound for m, the number of shared II-bonds. Furthermore, this upper bound is achievable. In this paper, we show that given a positive even integer m < k, there exists m shared II-bonds. In other words, the number of shared II-bonds in cyclofusene has the even interpolation property.     

Structure and Properties of Multilayered PET/PC Composites

Summary : With the aid of layer multiplying coextrusion techniques, polymer composites comprising up to thousand of uniform and alternating layers polyethylene terephthalate (PET) and polycarbonate (PC) were produced. Morphology and micromechanical deformation processes in these composites were investigated by means of transmission electron microscopy (TEM) and atomic force microscopy (AFM). In particular, the effect of thickness of individual layers on the large strain deformation micromechanisms was analyzed. On decreasing the thickness of individual polymer layers, a transition in deformation mechanism from two-component behaviour (i.e. the localization of shear bands in individual layer) to one-component-like behaviour (with the shear bands passing unhindered through different layers) was observed at the layer thickness of ca. 1 µm. On further decreasing the layer thickness below 100 nm, the composites exhibited homogeneous plastic deformation (i.e. no localization of deformation). In contrast to pure PET, even after long annealing, the composites showed tough behaviour during tensile loading.     

On the equitability of multiply-connected monolayered cyclofusene

Multiply-connected monolayered cyclofusene (MMC) is a fused hexacyclic system with an exterior region and at least two interior empty regions called holes, as in figure 1. Each hexacyle has either: (a) two edges belonging to an exterior boundary and at least one hole, or (b) two edges belonging to boundaries of at least two holes. Let G be the graph of a given MMC. We show that G is equitable if and only if the set of vertices belonging to three hexacycles is equitable.     

On the existence of multiply connected monolayered cyclofusenes with given parameters

For a given bipartite graph G its skewness is defined as the difference between the sizes of its classes of bipartition. We show that a multiply connected monolayered cyclofusene with m ≥ 2 internal holes and skewness k exists if and only if 0 ≤ k ≤ 2m − 2, thus settling in affirmative two conjectures raised in a recent paper by Karimi et al.     

Multilayered Nanocomposites Prepared through Quadruple-Layering Approach towards Enhanced Mechanical Performance

Multilayered materials are widely studied due to their special structures and great properties, such as their mechanical ones. In this paper a novel and effective technique, a quadruple-layering approach, was used to fabricate multilayered materials. This approach increases the number of layers rapidly via simple operations. Materials with 4, 16, and 64 layers with alternating layers of polypropylene and nanocomposites were fabricated using this approach, and their film morphology and mechanical properties were studied. The influence of the number of layers on the mechanical properties of the materials and the relationship between the mechanical properties of each material were investigated. The results illustrated that the tensile modulus and strength were enhanced and elongation at the break increased when the layer numbers of the multilayered materials increased. However, this approach has a defect in that as the layer number increases, the layer thickness was not uniform, thus restricting the improvement of properties. This may need to be further studied in future work.     

Multilayered electrospun nanofibrous scaffolds for tailored controlled release of embelin

Polymeric electrospun meshes are highly attractive as versatile platforms for numerous biomedical applications, tissue engineering, biosensors, and controlled release of bioactive agents. Herein, we describe the preparation and characterization of multilayered nanofibrous poly(ε-caprolactone) scaffolds with different embelin content by electrospinning technique. In vitro release in physiological and acidic pH and kinetic analysis were performed. The results show that it is possible to modulate the release profile depending on the number and thickness of layers added to drug-loaded scaffold that acts as an embelin reservoir. Electrospun multilayered scaffolds present characteristics, morphology and release profiles that could be very attractive for use as embelin controlled release systems.     

Preparation of Multilayered Polymeric Structures Using a Novel Four‐Needle Coaxial Electrohydrodynamic Device

Coaxial four‐needle electrohydrodynamic forming is applied for the first time to prepare layered structures in both particle and fiber form. Four different biocompatible polymers, polyethylene glycol, poly (lactic‐co‐glycolic acid), polycaprolactone, and polymethylsilsesquioxane, are used to generate four distinct layers confirmed using transmission and scanning electron microscopy combined with focused ion beam milling. The incorporation and release of different dyes within the polymeric system of four layers are demonstrated, something that is much desired in modern applications such as the polypill where multiple active pharmaceutical ingredients can be combined to treat numerous diseases.

     

A Method of Computing the PI Index of Benzenoid Hydrocarbons Using Orthogonal Cuts

The Padmakar–Ivan (PI) index of a graph G is defined as PI , where for edge e=(u,v) are the number of edges of G lying closer to u than v, and is the number of edges of G lying closer to v than u and summation goes over all edges of G. The PI index is a Wiener–Szeged-like topological index developed very recently. In this paper, we describe a method of computing PI index of benzenoid hydrocarbons (H) using orthogonal cuts. The method requires the finding of number of edges in the orthogonal cuts in a benzenoid system (H) and the edge number of H – a task significantly simpler than the calculation of PI index directly from its definition. On the eve of 70th anniversary of both Prof. Padmakar V. Khadikar and his wife Mrs. Kusum Khadikar.     

The Unfixed Subgraph of a Catacondensed Hexagonal System Obtained by Fixing an Alternating Set

We show that the unfixed subgraph of a catacondensed hexagonal system obtained by fixing an alternating set is either empty or its components are catacondensed hexagonal systems. Also, we provide some alternating sets for which this unfixed subgraph is empty. Finally, we prove that, in catacondensed hexagonal systems, the concept of a maximal M-resonant set, where M is a perfect matching, is equivalent to that of a maximal resonant set     

Evaluation of Morphology and Deformation Micromechanisms in Multilayered PP/PS Films: An Electron Microscopy Study

Nanostructured polymers and ultra-thin polymer layers are used more and more in technical applications like nanotechnology and microelectronics. Therefore, it is really important to understand the size-scale dependent properties as bulk polymers become thinner and more two-dimensional. Here the morphology as well as the macroscopic and the microscopic deformation behaviour of multilayered films of polypropylene (PP) and polystyrene (PS) have been investigated. For investigation different microscopic techniques and tensile testing were used. The films were prepared by multilayer coextrusion, whereas the composition of PP and PS and the film thickness – and therefore the thickness of each layer – varied. The thinnest calculated thickness of a single layer was about 5 nm. It is shown that the PP/PS films consist usually of homogeneous layers with only few defects. As the composition of PP/PS deviates strongly from 50/50 or the films get thinner the number of defects increases and the layered system turns to irregular lamellar system. In macroscopic tensile tests the small PS layers affect the elongation at break enormously: Most of the samples are brittle. For the films with a composition of PP/PS 90/10 and the film PP/PS 70/30 with a film thickness of 25 µm an elongation at break of 66% and higher could be reached. Transmission electron microscopy on these samples shows that the layers are characterized by plastic yielding in local deformation zones.     

On the Anti-forcing Number of Benzenoids

The anti-forcing number is introduced as the smallest number of edges that have to be removed that any benzenoid remains with a single Kekulé structure. Similarly, the anti- Kekulé number is discussed as the smallest number of edges that have to be removed that any benzenoid remains connected but without any Kekulé structure. These concepts have been exemplified on damaged benzenoid parallelograms.     

Electrochemical Detection of Free Chlorine Using Ni Metal Nanoparticles Combined with Multilayered Graphene Nanoshells

An electrochemical detection of free chlorine using carbon‐metal (C?M) composite powder, with a nickel‐metal nanoparticle combined with a multilayered graphene nanoshell (Ni metal@multilayered graphene) as the main component, synthesized from CH₄ via multimode microwave‐assisted catalytic decomposition, was studied. Morphological analysis of the C?M composite powder was performed by TEM–EDX and Raman spectroscopy. The C?M composite powder was packed in a porous microelectrode (PME), and its electrochemical activity with respect to free chlorine was evaluated using a potential sweep method. The C?M composite powder exhibited a sufficient activity against free chlorine. A current based on the reduction of free chlorine was observed in the potential < around+0.3 V vs. Ag/AgCl. A linear relationship was observed between the current and the concentration.     

Computation, Properties and Resonance Topology of Benzenoid Monoradicals and Polyradicals and the Eigenvectors Belonging to Their Zero Eigenvalues

Radical benzenoid structures, i.e., those which cannot have all electrons paired, are known to possess much larger structure counts than closed-shell benzenoids of similar size. Building on our previous work, we report methods for calculating eigenvectors, eigenvalues, and structure counts for benzenoid radicals, diradicals, and radicals of higher multiplicity. When a series of such species is constructed by repeated addition of an aufbau unit, structure counts can usually be expressed as a polynomial in one or two variables. Structure counts for radical series generated by repeated circumscribing, however, cannot.     

[NiFe/Cu/Co/Cu]n纳米多层线的电化学制备及表征

采用电沉积法,在阳极氧化铝(AAO)模板中制备了[NiFe/Cu/Co/Cu]_n多层纳米线.利用扫描电子显微镜(SEM)及透射电子显微镜(TEM)对纳米多层线的表面形貌及结构进行了表征,纳米线阵列高度有序、直径均一、层状结构清晰,NiFe层厚度约40 nm,Cu层厚度约60 nm,Co层厚度约15 nm,各子层厚度可控.利用X射线能谱分析仪(EDS)对纳米多层线NiFe层的成分进行了测试,Ni,Fe的原子比为4:1.利用X射线衍射仪(XRD)对[NiFe/Cu/Co/Cu]_n纳米多层膜和多层线结构进行了测试,多层膜为面心立方(fcc)结构,多层线NiFe层为面心立方(fcc)结构,Cu层为六方密排hcp(100),Co层为面心立方(fcc)结构.与组成、结构完全相同的多层膜相比,[NiFe/Cu/Co/Cu]_n多层纳米线具有更优越的巨磁电阻性能.     

On the Strength Calculation of the Rotating parts

The existing solutions of differential equations of equilibrium of an infinitesimal element of the rotating parts of an isotropic elastic solid known as the Navier equilibrium equations are considered. Examples of the flat disk calculation by solving the differential equilibrium equations by the sweep method and the finite element method in the modern program “Autodesk Simulation Multiphysics” are represented; paradoxical changes of radial and hoop stresses are revealed. An original method of derivation formulas based only on the principle of d’Alembert to calculate radial and hoop stresses in parts that operate under centrifugal (inertial) forces is proposed. The solution for rotating disks of any profile that corrects unnatural classical solutions is obtained. Analysis of the obtained new formulas for calculating stresses shows that it is necessary to reject the concept of “equal-strength disk” because of the inability to provide the equality of the hoop and radial stress in all sections of the disk. A new method of the optimum strength disk profile calculation, which requires a restriction of outer radius disk, is suggested. In designing of optimum strength rotating parts is recommended to limit outer disk radius of

where [σ] − the allowable stress, ρ − density of the disk material; ω − angular velocity of disk rotation.     

Multilayered particle‐packed column: Evaluation and comparison with monolithic and core–shell particle columns for the determination of red azo dyes in Sequential Injection Chromatography

A recently presented new type of “multilayered” organic–inorganic hybrid silica particle packed column YMC‐Triart C₁₈ (50 mm × 4.6 mm, 5 μm) was used for the development of a sequential injection chromatography method for determination of five azo dyes (Sudan I, Sudan II, Sudan III, Sudan orange G, and para red) in selected food seasonings. The use of a novel sorbent brings attractive features, reduced backpressure, and broader chemical stability together with high separation performance, which are discussed and compared with that of three types of columns typically used in medium‐pressure flow chromatography techniques (classic monolithic, narrow monolithic, and core–shell particle columns). The separation was performed in gradient elution mode created by the zone mixing of two mobile phases (acetonitrile/water 90:10, 1.5 mL + acetonitrile/water 100:0, 2.3 mL) at a flow rate of 0.60 mL/min and time of analysis <9.5 min. The spectrophotometric detection wavelengths were set to 400, 480, and 500 nm. The high performance of the developed method with multilayered particle column was well documented and the results indicate a broad capability of sequential injection chromatography.     

On dioxo derivatives of benzenoid hydrocarbons

Extending a problem occurring in connection with the stability order of the tautomers of hypericin, we examine the topological factors influencing the stability of the isomeric dioxo derivatives of benzenoid hydrocarbons, in particular the rules determining the number of Kekulé structures in them. Depending on the position of the oxo groups, the pattern of cyclic conjugation varies significantly, as does the Kekulé structure count. Some general regularities along these lines are established.     

Rectifying Properties of Oxide Semiconductor Heterostack Films at Elevated Temperatures

Heterostack films of p-type NiO and n-type TiO₂ semiconductors were deposited by a method of chemical solution deposition on a glass substrate having a sputtered ITO (In₂O₃ doped with Sn) electrode. Transparent films with total thickness of about 280 nm were obtained by heat treatments at 600°C. NiO reacted with TiO₂ to give a NiTiO₃ thin layer between them. The films exhibited a typical rectifying I-V behavior and this property was maintained at 300°C. The thickness of the NiTiO₃ intermediate layer increase with the heating time at 600°C and leading to a decrease of the current density at low voltage.