The Characterization of n ir as a Multiplicative Function

the following assertion is proved. If f is a completely multiplicative function taking values of modulus 1, such that the set of limit points of has k 3 distinct values, then f(n) = n ^ir F(n) with some r R, and F ^k(n) = 1 for every n.     

Synthetic studies of new CMP-sialic acid analogues applying a novel buffer-mediated rearrangement

Synthetic studies of analogues of cytidine monophosphate (CMP)-sialic acid as transition state mimics for sialylation are reported, applying selective monohydrolysis of a symmetric diester and a subsequent buffer-mediated regio- and stereospecific rearrangement we reported earlier.     

Liquid crystal dimers possessing chiral rod-like anisometric segments: synthesis, characterization and electro-optic behaviour

Several new optically active liquid crystal dimers comprising pro-mesogenic cholesterol and a chiral diphenylacetylene (tolane) segment, covalently linked in an end-to-end fashion through a flexible spacer, have been synthesized and investigated for their mesomorphic behaviour with the aid of optical, calorimetric and X-ray diffraction studies. Five unsymmetrical dimers, designed on the basis of recent work, involve molecular structural variations of the tolane mesogenic entity with a view to stabilizing a wide thermal range smectic A (SmA) phase featuring the electroclinic effect. Three different chiral chains, namely, (S)-1-methylheptyloxy, (S)-2-methylbutyloxy, (3S)-3,7-dimethyloctyloxy, with or without polar (nitro or fluoro) lateral substituents, were incorporated, while keeping the length (C₆) of the spacer constant. As expected, all the dimers exhibited a SmA phase. A few also showed chiral nematic (N*) and/or twist grain boundary and/or chiral smectic C (SmC*) phases. Remarkably, some of these oligomesogens, upon melting, had a stable SmA phase over a wide thermal interval (100-150°C); this state seems to be stable for a long period of time. Electro-optic studies, including optical tilt angle as well as temporal response as a function of temperature, were carried out in the SmA phase. The SmC* phase was also investigated for its electrical switching and optical tilt angle, as well as spontaneous polarization as a function of temperature. These studies showed that the mesophase response to an applied field is weak and is independent of variations in the dimer investigated.     

Performance comparison of supersonic ejectors with different motive gas injection schemes applicable for flowing medium gas laser

A class of flowing medium gas lasers with low generator pressures employ supersonic flows with low cavity pressure and are primarily categorized as high throughput systems capable of being scaled up to MW class. These include; Chemical Oxygen Iodine Laser (COIL) and Hydrogen (Deuterium) Fluoride (HF/DF). The practicability of such laser systems for various applications is enhanced by exhausting the effluents directly to ambient atmosphere. Consequently, ejector based pressure recovery forms a potent configuration for open cycle operation. Conventionally these gas laser systems require at least two ejector stages with low pressure stage being more critical, since it directly entrains the laser media, and the ensuing perturbation of cavity flow, if any, may affect laser operation. Hence, the choice of plausible motive gas injection schemes viz., peripheral or central is a fluid dynamic issue of interest, and a parametric experimental performance comparison would be beneficial. Thus, the focus is to experimentally characterize the effect of variation in motive gas supply pressure, entrainment ratio, back pressure conditions, nozzle injection position operated together with a COIL device and discern the reasons for the behavior.     

Nonlinear propagation and ponderomotive force of electromagnetic plane waves of arbitrary polarisation in a magnetoplasma

Ponderomotive self-effects of plane uniform electromagnetic modes of a magnetoplasma introduce stop- and pass-band structures in the dispersion characteristics of the waves resulting in Bragg reflection, etc.     

Mouse liver selenium-binding protein decreased in abundance by peroxisome proliferators

Several studies with two-dimensional gel electrophoresis (2-DE) have shown that the abundance of numerous mouse liver proteins is altered in response to treatment with chemicals known to cause peroxisome proliferation. The peptide masses from tryptic digests of two liver proteins showing dramatic decreases in abundance in response to numerous peroxisome proliferators were used to search sequence databases. The selenium-binding protein 2 (SBP2 formerly 56 kDa acetaminophen-binding protein, AP 56) and selenium-binding protein 1 (SBP1 formerly 56 kDa selenium-binding protein, SP 56) in mouse liver, proteins with a high degree of sequence similarity, were the highest ranked identities obtained. Identity with SBP2 was subsequently confirmed by immunodetection with specific antiserum. Treatment of mice with 0.025% ciprofibrate resulted in the more basic of this pair of proteins being decreased to 30% of control abundance while the acidic protein was decreased to 7% of the control amount. Dexamethasone treatment, in contrast, caused increases of 80% and 20% in the abundance of the acidic and basic forms, respectively. Administration of dexamethasone to mice in combination with ciprofibrate produced expression of the acidic SBP2 at 23% of the control level and the basic SBP2 at 36%, a slightly moderated reduction compared with the decrease that occurred with ciprofibrate alone. These data suggest that peroxisome proliferators such as ciprofibrate cause a decrease in the abundance of the SBP2, which leads to increased cell proliferation, even in the presence of an inhibitor such as dexamethasone. Such a decrease in SBP, thought to serve as cell growth regulation factors, could be central to the nongenotoxic carcinogenicity of the peroxisome proliferators observed in rodents.     

Photoluminescent columnar zinc(II) bimetallomesogen of tridentate [ONO]-donor Schiff base ligand

A new zinc(II) bimetallomesogenic complex, [Zn₂L₂], of tridentate [ONO]-donor Schiff base ligand (L = N-(2-hydroxyethyl)-4-hexadecyloxysalicylaldimines) was synthesised and their mesomorphic and photoluminescence properties were investigated. The compounds were characterised by Fourier transform infrared spectroscopy (FTIR), ¹H and ¹³C nuclear magnetic resonance (NMR), ultraviolet-visible spectroscopy (UV-Vis) spectroscopy, elemental analyses and fast atom bombardment (FAB) mass spectrometry. The mesomorphic behaviour of the complex was investigated by polarised optical microscopy, differential scanning calorimetry and X-ray diffraction (XRD) study. A rectangular or oblique columnar mesophase is conjectured on the basis of powder X-ray diffraction (PXRD) study. The complex is found to be blue light emitter in solution, in solid and in condensed states with broad emission maxima at ～427–464 nm. The density functional theory (DFT) calculations revealed a distorted square planar structure around each zinc(II) centre in the dinuclear framework. Time-dependent DFT spectral correlative study was undertaken to account for the electronic transition.     

Dehydrative Annulation Strategy for the Construction of Octahydroindolizine Framework: A Diastereoselective Synthesis of (6R,8aS)-Octahydroindolizin-6-ol

A dehydrative annulation strategy involving an intramolecular ring closure under a Mitsunobu-type reaction condition has been used for the construction of octahydroindolizine framework successfully. This strategy that was reported to be unsuccessful when applied to a similar system allowed us to perform a diastereoselective synthesis of (6R,8aS)-octahydroindolizin-6-ol [a precursor of (–)-8a-epidesacetoxyslaframine] starting from commercially available chiral (S)-epichlorohydrin via a piperidine intermediate, i.e., (3R,6S)-6-(3-hydroxypropyl)piperidin-3-ol. The methodology has potential to afford a library of optically pure small molecules of pharmacological importance based on the related indolizine framework.     

The structure of cis and trans lsomers of 1-(p-Bromobenzylidene)-2-indanone

Abstract

In this communication we wish to report an interesting case of the isolation and characterization of the cis and trans isomers of 1-(p-bromobenzylidene)-2-indanone and their ketals. Prior to this work, Hoogstreen and Trenner² had reported on the cis and trans isomers of 1-(p-chlorobenzylidene)-2-methyl-5-methoxyindenylacetic acid. The condensation of 2-(N-morpholinyl)-indene (1, prepared by the reaction of 2-indanone³ and morpholine) with P-bromobenzaldehyde was conducted by refluxing them in the presence of acetic acid for 4 hours. Acid hydrolysis of the reaction mixture followed by dry column chrcmatography over sillica gel using a fraction collector afforded two iscmeric monobenzylidenes, compounds 2(36.6%, mp 110–111°)and 3(1.3%, mp 115–116°) and a dibenylidene, compound 4 (8.7%, mp 205°). The relative rations of the mono- and dibenzylidenes seemed to depend on the reaction conditions. Higher yields of the monobenzylidenes 2 and 3 were obtained by conducting the reaction in the presence of UV light. The structures of these monobenzylidenes were established as cis and trans isomers of 1-(p-bromobenzylidenes)-2-indanone on the Basis of elemental analyses and ir and nmr spectroscopy. The ir spectra⁴ (CHCl₃)

of compounds 2 [1725 (c=0), 1620 (c=c)cm^?1] and 3[1710 (c=o), 1570, 1600 (c=c) cm^?1] were consistent with the structures. The molecular ion peaks as well as the fragmentation patterns in the mass spectra of both these compounds were consistent with the assigned structures. Before going into the omr discussion it should be pointed out that treatment of compound 2 with athylene glycol in the presence of p-toluene sulfonic acid produced two ketals, 5 (38.3% mp, 118–120°) and 6 (30.6% mp, 125–126°). As depicted; the ketals 5and 6 were also found (by omr) to be related to each other as cis and trans isomers. Furthermore, each of them could be hydrolyzed with acid to the corresponding monobenzylidenes 2 and 3 without any isomerization. However, UV irradiation of compounds 2 and 3 gave equilibrium mixtures containing both the isomers, indicating isomerization had occurred under photolytic conditions.