Optical solitons and complexitons of the Schrödinger–Hirota equation

The Schrödinger–Hirota equation governs the propagation of optical solitons in a dispersive optical fiber. In this paper, this equation will be solved by the ansatz method for bright and dark 1-soliton solution. The power law nonlinearity will be assumed. By using the tanh method, some additional solutions will be derived. Finally, the numerical simulations will be given.     

Different indexes for eccentricity faults diagnosis in three-phase squirrel-cage induction motors: A review

In this paper, a short introduction about different types of eccentricity faults in three-phase squirrel-cage induction motors is presented and their effects and consequences on the health and behavior of the motor are reviewed. Two fault diagnosis techniques are discussed, namely: invasive and non-invasive techniques. The relative advantages of the non-invasive techniques are also discussed. Various indices used in the non-invasive techniques are then briefly introduced and some outlines for continuing the research on every index are given. The advantages and disadvantages of the indices under different operating conditions and for any type and eccentricity degree are then discussed together with some effective parameters of the motor. The results of this review are useful for manufacturers of fault diagnosis systems in selecting proper indices for existing conditions and also for researchers in determining further research areas.     

Robust strategies for natural gas procurement

In order to serve their customers, natural gas local distribution companies (LDCs) can select from a variety of financial and non-financial contracts. The present paper is concerned with the choice of an appropriate portfolio of natural gas purchases that would allow a LDC to satisfy its demand with a minimum tradeoff between cost and risk, while taking into account risk associated with modeling error. We propose two types of strategies for natural gas procurement. Dynamic strategies model the procurement problem as a mean-risk stochastic program with various risk measures. Naive strategies hedge a fixed fraction of winter demand. The hedge is allocated equally between storage, futures and options. We propose a simulation framework to evaluate the proposed strategies and show that: (i) when the appropriate model for spot prices and its derivatives is used, dynamic strategies provide cheaper gas with low risk compared to naive strategies. (ii) In the presence of a modeling error, dynamic strategies are unable to control the variance of the procurement cost though they provide cheaper cost on average. Based on these results, we define robust strategies as convex combinations of dynamic and naive strategies. The weight of each strategy represents the fraction of demand to be satisfied following this strategy. A mean–variance problem is then solved to obtain optimal weights and construct an efficient frontier of robust strategies that take advantage of the diversification effect.     

Chelate adsorption for trace voltammetric measurements of iron(III)

Summary A very sensitive electrochemical stripping procedure for trace measurements of iron(III) is described. The chelate of iron with Solochrome Violet RS is adsorbed on the hanging mercury drop electrode, and the reduction current of the accumulated chelate is measured by voltammetry. The adsorption and redox behaviours are explored by cyclic voltammetry. The height of the chelate peak, which is about 0.28 V more negative than the peak of the free dye, is shown to be proportional to the iron concentration. Optimal experimental conditions include a preconcentration potential of –0.40 V, solution pH of 5.1 and a linear scan mode. The sharp chelate peak, associated with the effective interfacial accumulation, coupled with the flat baseline, facilitates measurements at the nanomolar and submicromolar concentration levels using short preconcentration times. The limit of detection after 1 min preconcentration is 0.04 gl^–1 (7 × 10^–10 M), and the relative standard deviation at the 10^–7 M level is 4.7%. The effects of possible interferences, due to coexisting metal ions or organic surfactants, are evaluated. The ability of measuring iron(III) in the presence of iron(II) is illustrated. Actual analyses of sea and tap waters are reported.

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Chelat-Adsorption für voltammetrische Spurenanalyse von Eisen(III)

     

Synthesis and characterization of laterally substituted bis(alkoxybenzoyloxy)hydroquinones

A new series of laterally substituted bis(alkoxybenzoyloxy)hydroquinone compounds has been synthesized and their mesomorphic properties studied. A number of hydroquinone compounds were synthesized with terminal n -alkoxy chains ranging from n -butyloxy to n -decyloxy. Additionally, lateral substituents ranging from n -butyl to n -octyl were incorporated through esterification at the remaining unsubstituted phenolic oxygen atoms. By optimizing the combination of the end group and lateral moieties we were able to tailor the molecular structure to form different liquid crystalline phases.     

Oligosaccharide Analogues of Polysaccharides. Part 2. Regioselective deprotection of monosaccharide-derived monomers and dimers

The Me₃Si? C(1) bond of the bis-(trimethylsilyl)ethynylated anhydroalditol 2 is selectively cleaved with BuLi to yield 3 / 4 , while AgNO₂/KCN in MeOH cleaves the Me₃Si? C(2′) bond, leading to 5 (Scheme 1). Both Me₃Si groups are removed with NaOH in MeOH (→ 7 ), the (i-Pr)₃Si group is selectively cleaved with HCl in aq. MeOH ( → 6 ); all silyl substituents are removed with Bu₄NF ( → 8 ). Acetolysis transformed 9 into 13 , which was desilylated to 14 , while thiolysis of 9 led to a mixture 11 / 12 . The tetraacetate 14 has also been obtained from 9 via 10 . Oxidative dimerisation of either 3 or 5 , or of a mixture 3 / 5 yields only the homodimers 15 and 16 (Scheme 2); treatment of 16 with AgNO₂/KCN yielded 17 , deprotection proceeding much more slowly than the cleavage of the Me₃Si? C(2′) group of 2 . The iodoalkyne 20 , required for the cross-coupling with 5 according to Cadiot-Chodkiewicz, was prepared by deprotection of 3 / 4 to 18 , methoxymethylation (→ 19 ), and iodination. Cross-coupling yielded mostly 21 , besides the homodimer 22 . Similarly, cross-coupling of 20 and 23 (obtained from 5 ) led to 24 and 22 . The structure of 24 was established by X-ray analysis (Fig.), showing a C(6)–C(5′) distance of 5.2 Å. The conditions for deprotecting 2 were applied to 21 , and led to 25 (AgNO₂/KCN), 26 (aq. NaOH), 27 (Bu₄NF), and 29 (HCl/MeOH; Scheme 3). Attempted deprotection of the propargylic-ether moiety with BuLi, however, failed. The dimer 27 was further deprotected to 28 . Acetolytic (Ac₂O/Me₃SiOTf) debenzylation of the dimer 30 , obtained from 10 , gave 31 (83%) which was deacetylated to 32 (Scheme 4). Cross-coupling of 5 and the bromoalkyne 33 , obtained from 10 , yielded 34 ; again, acetolysis proceeded well, leading to 35 . The cellobiose derivative 38 was prepared from the lactone 36 via 37 . The glycosidic linkage of 38 proved resistant to the conditions of acetolysis, leading to 39 . Acetolysis of the benzylated thiophene 40 (from 30 with Na₂S) yielded the octaacetate 41 , but proceeded in substantially lower yields (50%).     

Phosphinsubstituierte chelatliganden: XIII. Photochemische substitution von metallhexacarbonylen mit phosphinothioformamid-liganden

Neutral complexes with mono- and di-coordinated phosphinothioformamide ligands are obtained by photochemical substitution of the metal hexacarbonyls M(CO)₆ (M = Cr, Mo, W) in tetrahydrofuran or cyclohexane solution. The photosubstitution requires specific conditions due to the pronounced thermal and photolytic lability of the new compounds.     

Stripping voltammetry of manganese based on chelate adsorption at the hanging mercury drop electrode

A novel electrochemical stripping approach for the trace measurement of manganese is presented. The metal chelate with erichrome black T is adsorbed on a hanging mercury drop electrode, and the subsequent reduction current of the accumulated chelate is measured by voltammetry. Adsorptive preconcentration for 5 min results in a detection limit of 6 × 10^?10 M (32 l^?1). Cyclic voltammetry is used to characterize the redox and interfacial processes. Optimal experimental conditions include a 0.02 M piperazine-N,N′-bis(2-ethanesulfonic acid) solution (pH 12) containing 1 × 10^?6 M eriochrome black T, a preconcentration potential of ?0.80 V, and a linear potential scan. The response is linear up to 2.9 × 10^?7 M, and the relative standard deviation at 1.8 × 10^?7 M is 1.5%. The effects of possible interferences from metal ions or organic surfactants are evaluated.