The Landau pole and Z<Superscript>′</Superscript> decays in the 331 dilepton model

We calculate the decay widths and branching ratios of the extra neutral boson Z’ predicted by the 331 dilepton model in the framework of two different particle contents. These calculations are performed taking into account oblique radiative corrections and flavor changing neutral currents (FCNC) under the ansatz of Matsuda as a texture for the quark mass matrices. Contributions of the order of 10^-1–10^-2 are obtained in the branching ratios, and the partial widths about one order of magnitude bigger in relation with other 331 models are also obtained. A Landau-like pole arises at 3.5 TeV considering the full particle content of the minimal dilepton model (MDM), where the exotic sector is considered as a degenerate spectrum at the 3 TeV scale. The Landau pole problem can be avoided at the TeV scales if a new leptonic content running below the threshold at 3 TeV is implemented as suggested by other authors.     

How fair is an equitable distribution?

Envy is a rather complex and irrational emotion. In general, it is very difficult to obtain a measure of this feeling, but in an economical context envy becomes an observable which can be measured. When various individuals compare their possessions, envy arises due to the inequality of their different allocations of commodities and different preferences. In this paper, we show that an equitable distribution of goods does not guarantee a state of fairness between agents and in general that envy cannot be controlled by tuning the distribution of goods.     

Synthesis of 7-amirio-2H, 4H-vic-triazolo[4,5-c]-[1,2,6]thiadiazine 5,5-dioxides

7-Amino-2H,4H-vic-triazolo[4,5-c][1,2,6]thiadiazine 5,5-dioxide was prepared by two different ways from 3,4,5-triamirio-1,2,6-lhiadiazine 1, 1-dioxide and 3,5-diamino-4H-1,2,6-thia-diazine 1, 1-dioxide respectively. 7-A:nino-2-phenyl-4H-vic-triazolo[4,5-c] [1,2,6]thiadiazine 5,5-dioxide was obtained by lead telraacetate oxidation of 3,5-diamino-4-phenylazo-1, 2, 6-thiadiazine 1, 1-dioxide.     

Method for analysis of polymer-supported organic compounds using mass spectrometry direct insertion

A new approach on the use of mass spectrometry direct-insertion and a quadrupole detector for analysis of organic compounds supported in solid phase has been developed. This is a simple and efficient method based on cleavage due to the thermal-instability of the benzylic group of most commercial resins. The cleavage of supported compounds takes place in the spectrometer as a consequence of the high temperature in the instrument's chamber. These compounds are detected using a similar fragmentation pattern and a molecular ion corresponding to the same compound obtained by traditional synthesis. Polymer degradation fragments do not interfere with the spectrum interpretation, because only a few peaks and low intensities are detected. We report here the identification of different types of compounds supported in Merrifield resin, such as bis-o-aminobenzamides and simple aromatic and aliphatic compounds, using this new approach.     

Theoretical study of the highly diastereoselective 1,3-dipolar cycloaddition of 1,4-dihydropyridine-containing azomethine ylides to [60]fullerene (Prato's reaction)

The 1,3-dipolar cycloaddition of azomethine ylides bearing the biologically active 1,4-dihydropiridine ring to C(60) was investigated by means of quantum mechanical calculations at the semiempirical AM1 and DFT (B3LYP/6-31G) methods. The presence of two chiral centers and one chiral axis in the resulting fulleropyrrolidines leads to four possible [6,6] cycloaddition products. Formation of atropoisomers has also been considered. The transition-state structures were computed for the four different cycloaddition pathways to find out the lowest activation energy stereoisomer. In all cases, a frequency analysis and an IRC calculation were carried out to fully characterize the located transition-state structures. AM1 results and single-point energy calculations at the B3LYP/6-31G//AM1 level for the four transition-state structures yield activation energies values below 5 kcal/mol.     

Transformation of schiff bases derived from alpha‐naphthaldehyde. Synthesis,spectral data and biological activity of new‐3‐aryl‐2‐(α‐naphtyl)‐4‐thiazolidinones and N‐aryl‐N‐[1‐(α‐naphthyl)but‐3‐enyl]amines

New N‐aryl substituted 2‐(α‐naphthyl)‐4‐thiazolidinones were prepared by the cyclocondensation of α‐mercaptoacetic acid and corresponding N‐(α‐naphthyliden)anilines. The same starting materials were utilized to obtain a new series of N‐aryl‐N‐[1‐(α‐naphthyl)but‐3‐enyl]amines, which was synthesized through an addition of the Grignard reagent (allylmagnesium bromide) to the double bond C?N of the aldimines. The antichagasic and trichomonacidal in vitro activity, as well as, the antifungal and cytotoxic properties of some of these compounds were evaluated.     

Investigation of the quantitative properties of the quadrupole orthogonal acceleration time-of-flight mass spectrometer with electrospray ionisation using 3,4-methylenedioxymethamphetamine

This paper describes the investigation of the potential of a quadrupole orthogonal acceleration time-of-flight mass spectrometer (Q-TOF) equipped with an atmospheric pressure ionisation interface for quantitative measurements of small molecules separated by reversed phase liquid chromatography. To this end, the detection limits and linear dynamic range in particular were studied in an LC/MS/MS experiment using 3,4-methylenedioxymethamphetamine standards and 3,4-methylenedioxyethylamphetamine for internal standardisation. In a second phase, the experiment was repeated with real biological extracts (whole blood, serum, and vitreous humour). A calibration for 3,4-methylenedioxymethamphetamine and its metabolite 3,4-methylenedioxyamphetamine was prepared in each of these matrices again using 3,4-methylenedioxyethylamphetamine as internal standard. The resulting quantitative data were compared with those obtained by liquid chromatography with fluorescence detection for the same extracts. The Q-TOF results revealed excellent sensitivity and a linear dynamic range of nearly four decades (2-10 000 pg on-column, r(2) = 0.9998, 1/x weighting). Furthermore, all the calibration curves prepared in biological material were superimposable, LC/MS/MS and LC-fluorescence, and the quantitative results for actual samples compared very favourably. It was concluded that the Q-TOF achieves a linear dynamic range for quantitative LC/MS/MS work exceeding that of fluorescence detection and at much better absolute sensitivity. Copyright 1999 John Wiley & Sons, Ltd.     

Fringes demodulation in time-averaged digital shearography using genetic algorithms

This paper presents a phase recovery method, based on genetic algorithms, in time-average shearography. It is proved that a single Bessel fringe pattern obtained under a subtraction operation could be enough to calculate the phase. A merit function is solved iteratively using genetic operator like selection, reproduction and mutation. Experimental results are presented in this paper using a simple shearing system based on a Fresnel biprism.