Hodge numbers of nodal double octics

Let B be a surface of even degree d in P³ with nodes as the only singular points. In [1] Clemens proved that the topology of the small resolution of the double covering of P³ branched along B depends not only on the number of nodes but also on the so-called defect, a non-negative integer describing their configuration.

The aim of this note is to give an elementary proof of the Clemens. result and to present some geometric interpretation of defect.     

Prediction of losses in the flow through the last stage of low‐pressure steam turbine

In this paper, the numerical modelling of the flow through the low‐pressure steam turbine last stage was presented. On the basis of predicted wet steam flow‐field, the aerodynamic as well as thermodynamic losses were estimated. For calculations of the wet steam steady flow‐field three numerical methods were employed. The first method was a streamline curvature method (SCM). The commercial CFD code (CFX‐TACflow) and an in‐house code, both solving the 3‐D RANS equations, were the next two methods. In the wet steam region, by means of all three methods, the equilibrium flow was modelled. Additionally, the in‐house CFD code was used for modelling of the non‐equilibrium steam condensing flow. In this work, the comparison of the cascade loss coefficient for stator and rotor and selected flow parameters for the stage were presented, compared and discussed. Copyright © 2006 John Wiley & Sons, Ltd.     

Electron localization function and electron localizability indicator applied to study the bonding in the peroxynitrous acid HOONO

The ground‐state electronic structure of peroxynitrous acid (HOONO) and its singlet biradicaloid form (HO ··· ONO) have been studied using topological analysis of the electron localization function (ELF), together with the electron localizability indicator (ELI‐D), at the DFT (B3LYP, M05, M052X, and M06), CCSD, and CASSCF levels. Three isomers of HOONO (cis‐cis, cis‐perp, and trans‐perp) have been considered. The results show that from all functionals applied, only B3LYP yields the correct geometrical structure. The ELF and ELI‐D‐topology of the O? O and central N? O bonds strongly depends on the wave function used for analysis. Calculations carried out at CAS (14,12)/aug‐cc‐pVTZ//CCSD(T)/aug‐cc‐pVTZ level reveal two bonds of the charge‐shift type: a protocovalent N? O bond with a basin population of 0.82–1.08e, and a more electron depleted O? O bond with a population of 0.66–0.71e. The most favorable dissociation channel (HOONO → HO + ONO) corresponds to breaking of the most electron‐deficient bond (O? O). In the case of cis‐ and trans‐HO ··· ONO, the ELF, ELI‐D, and electron density fields results demonstrate a closed‐shell O ··· O interaction. The α‐spin electrons are found mainly (0.64e) in the lone pairs of oxygen V_{i = 1,2} (O) from the OH group. The β‐spin electrons are delocalized over the ONO group, with the largest concentration (0.34e) on the lone pair of nitrogen V(N). © 2011 Wiley Periodicals, Inc. J Comput Chem, 2011     

Photophysical properties and photocytotoxicity of novel phthalocyanines - potentially useful for their application in photodynamic therapy

Two novel zinc(II) phthalocyanines bearing non-peripheral ester-alkyloxy substituents (Pc-4 and Pc-5) were synthesized, by a two-step procedure starting from 2,3-dicyanohydroquinone. Both sensitizers show promising photophysical properties, including solvatochromic study, qualitative evaluation of emission, aggregation behavior and singlet oxygen generation. It was proven that the photodynamic activity of the compounds studied depends on the molecular oxygen level. Comparison of the quantum yields of singlet oxygen generation as well as the oxidation rate constants using 1,3-diphenylisobenzofurane before and after deaeration proved the photodynamic effect of Pc-4 and Pc-5 to be governed by the photosensitization mechanism II. Changes in the quantities of the compounds exposed to irradiation were also estimated. Upon their exposure to light the changes in intensity of the Q band were monitored. The photodecomposition of Pc-4 and Pc-5 in DMSO or DMF solutions was found to proceed according to the first order kinetic reaction in two stages.The photosensitizing effect of Pc-4 in HSC-3 cells was significantly lower than that of ZnPc. Pc-4 was ineffective at 0.1 μM, while a low, approx. 15% photocytotoxicity was observed at 5 μM, at a distance of 5 and 10 cm. The efficacy of Pc-4 in photokilling of cultured cells is affected by hydrophobicity and the aggregation status of the photosensitizer.     

Three-divisible families of skew lines on a smooth projective quintic

We give an example of a family of 15 skew lines on a quintic such that its class is divisible by 3. We study properties of the codes given by arrangements of disjoint lines on quintics.

     

Kinetic studies on fluvastatin photodegradation in solutions

Summary The effect of solvent on the photodegradation kinetics of fluvastatin was evaluated. The degradation rate of fluvastatin was estimated on the basis of the quantum yields and kinetic parameters determination. The photodegradation appeared to follow first-order kinetics. In order to establish the light intensity absorbed by a system, Reinecke’s salt was used as a chemical actinometer.     

Projective surfaces with many skew lines

We give an example of a smooth surface of degree that contains pairwise disjoint lines. In particular, our example shows that the degree in Miyaoka's bound is sharp.