A novel colorimetric and fluorometric anion sensor based on BODIPY-calix[4]pyrrole conjugate

A novel fluorescent anion sensor 1 based on boradiazaindacenes (BODIPY) derivative was synthesized and its absorption and fluorescence properties were investigated in various solvents. 1 exhibited a red shift of absorption spectrum and fluorescence quenching in varying degree in the presence of F^?, AcO^?, H₂PO₄ ^? and Cl^? due to multiple hydrogen bonding interactions between these anions and calix[4]pyrrole receptor. As an anion sensor in the visible region, 1 displayed the similar selectivity and sensitivity toward anions compared to the parent calix[4]pyrrole. However, 1 can be used as an effective dual responsive optical sensor for F^? via chromogenical and fluorogenical signals.     

Ir–V nanoparticles supported on microstructure controlled carbon nanofibers as electrocatalyst for oxygen reduction reaction

Ir–V nanoparticles supported on microstructure controlled carbon nanofibers (CNFs) or on carbon black, Vulcan XC-72 (XC-72), have been synthesized via chemical reduction, and the oxygen reduction reaction (ORR) properties of catalysts are investigated in this paper. The physico-chemical properties are characterized by high resolution transmission electron microscope (HRTEM), N₂ physisorption and electrochemical analysis. HRTEM results show that the metal nanoparticles are separated on carbon support with well-controlled particle size, dispersity, and composition uniformity. Moreover, the metal nanoparticles on CNFs have a smaller size than those on XC-72. Cyclic voltammetric analysis reveals that Ir–V/CNFs exhibits a higher ORR activity than Ir–V/XC-72, and this may be associated with the smaller metal nanoparticles and the stronger metal-support interaction of Ir–V/CNFs. Linear sweep voltammetric analysis at different rotation rates proves that ORR on the Ir–V/CNFs electrode is a 4e^? process.     

Testing additive integrality gaps

We consider the problem of testing whether the maximum additive integrality gap of a family of integer programs in standard form is bounded by a given constant. This can be viewed as a generalization of the integer rounding property, which can be tested in polynomial time if the number of constraints is fixed. It turns out that this generalization is NP-hard even if the number of constraints is fixed. However, if, in addition, the objective is the all-one vector, then one can test in polynomial time whether the additive gap is bounded by a constant.     

Novel methods for the synthesis of 2-[(4<Emphasis Type="Italic">R</Emphasis>)-2-oxo-4-phenylpyrrolidin-1-yl]-acetamide ((<Emphasis Type="Italic">R</Emphasis>)-phenotropil)

Two novel methods have been developed for the preparation of 2-[(4R)-2-oxo-4-phenylpyrrolidin-1-yl]acetamide ((R)-Phenotropil). In the first, n-butyl (3R)-4-amino-3-phenylbutyrate is alkylated with haloacetamide in DMF in the presence of potassium phosphate monohydrate, and the intermediate 4-carbamoylmethylamino-3-phenylbutyrate is subsequently cyclized by refluxing in toluene in the presence of potassium phosphate monohydrate and tetrabutylammonium bromide. In the second, chloroacetonitrile is used under similar conditions in place of the haloacetamide. Both methods lead to (R)-Phenotropil in 40-60% yields calculated on the starting n-butyl (3R)-4-amino-3-phenylbutyrate.     

Enhanced red-shifted radiation by pulse trapping in photonic crystal fibers with two zero-dispersion wavelengths

A theoretical investigation on the two pulses copropagation and the red-shifted radiation generation in a photonic crystal fiber with two zero-dispersion wavelengths are presented. It is found the intensity of the red-shifted radiation components can be enhanced when the fiber is pumped with two pulses and the pulse trapping occurs. As the input peak power of the pump pulse is increased under the phenomenon of pulse trapping, the intensity of the red-shift radiation can be further enhanced. The above effects can be explained by the energy transfer from the Raman soliton to the red-shifted radiation components due to the effect of pulse trapping and the effect of higher-order dispersion.     

Indecomposable Coverings with Concave Polygons

We show that for any concave polygon that has no parallel sides and for any k, there is a k-fold covering of some point set by the translates of this polygon that cannot be decomposed into two coverings. Moreover, we give a complete classification of open polygons with this property. We also construct for any polytope (having dimension at least three) and for any k, a k-fold covering of the space by its translates that cannot be decomposed into two coverings.     

Harmonic <Emphasis Type="Italic">p</Emphasis>-forms on Hadamard manifolds with finite total curvature

In the present note, the geometric structures and topological properties of harmonic p-forms on a complete noncompact submanifold \(M^{n}(n\ge 4)\) immersed in Hadamard manifold \(N^{n+m}\) are discussed, where \(M^{n}\) and \(N^{n+m}\) are assumed to have flat normal bundle and pure curvature tensor, respectively. Firstly, under the assumption that \(M^{n}\) satisfies the \((\mathcal {P}_\rho )\) property (i.e., the weighted Poincaré inequality holds on \(M^{n}\)) and the \((p,n-p)\)-curvature of \(N^{n+m}\) is not less than a given negative constant, using Moser iteration, the space of all \(L^{2}\) harmonic p-forms on \(M^{n}\) is proven to have finite dimensions if \(M^{n}\) has finite total curvature. Furthermore, if the total curvature is small enough or \(M^{n}\) has at most Euclidean volume growth, two vanishing theorems are, respectively, established for harmonic p-forms. Note that the two vanishing theorems extend several previous results obtained by H. Z. Lin.     

Z-pinch X射线时间分辨多幅图像诊断系统

 介绍了为“强光一号”设计的ns级时间分辨软X射线多幅图像诊断系统，分析了系统的主要性能指标,给出并分析了利用该系统诊断“强光一号”高功率脉冲Z pinch等离子体辐射源的最新的实验结果。     

Interpretation of experimental data near λ-transition point in liquid helium

The recently published experimental data for specific heat C_p of liquid helium in zero gravity conditions very close to the λ–transition have been discussed. We have shown that these data allow different interpretations. They can be well interpreted within the perturbative RG approach and within our recently developed theory, as well. Allowing the logarithmic correction, the corresponding fits lie almost on top of each other over the whole range of the reduced temperatures t (for bin averaged data) 6.3 ×10^-10 < t < 8.8 ×10^-3. However, the plot of the effective exponent α _eff(t) suggests that the behaviour of C_p, probably, changes very close to T_λ. To clarify this question, we need more accurate data for t<10^-7. In addition, we show that the experimental data for superfluid fraction of liquid helium close to T_λ within t ∈[3 ×10^-7;10^-4] can be better fit by our exponents ν=9/13 ≃0.6923, Δ=5/13 ≃0.3846 than by the RG exponents ν≃0.6705 and Δ≃0.5. The latter ones are preferable to fit the whole measured range t ∈[3 ×10^-7;10^-2] where, however, remarkable systematic deviations appear. Our estimated value 0.694 ±0.017 of the asymptotic exponent ν well agrees with the theoretical prediction ν=9/13.     

Digitalizing line segments

We introduce a novel and general approach for digitalization of line segments in the plane that satisfies a set of axioms naturally arising from Euclidean axioms. In particular, we show how to derive such a system of digital segments from any total order on the integers. As a consequence, using a well-chosen total order, we manage to define a system of digital segments such that all digital segments are, in Hausdorff metric, optimally close to their corresponding Euclidean segments, thus giving an explicit construction that resolves the main question of [J. Chun, M. Korman, M. Nöllenburg, and T. Tokuyama. Consistent digital rays. Discrete Comput. Geom., 42(3):359–378, 2009].