Ionic liquid-mediated Darzens condensation: An environmentally-friendly procedure for the room-temperature synthesis of α,β-epoxy ketones

This room-temperature Darzens condensation of α-chloroacetophenone with various aromatic aldehydes mediated by [bmim][BF₄] ionic liquid in the presence of sodium tert-butoxide resulted in the sole formation of good to excellent yields of trans-α,β-epoxy ketones in short time periods. In contrast, tert-butyl 2-chloroacetate underwent Darzens reactions with aldehydes giving mixtures of both cis and trans products with low selectivity. In all reactions, the ionic liquid was recovered and reused in the subsequent reactions without significant loss of activity.     

Structural and particle size evolution of sol–gel-derived nanocrystalline hydroxyapatite

An easy alkoxide-based sol–gel method based on Ca(NO₃)₂·4H₂O and triethyl phosphate [PO(OC₂H₅)₃; TEP] as Ca and P precursors have been developed to synthesize nano-hydroxyapatite (HA). The structural evolution of the samples was studied using X-ray diffraction (XRD), thermal behavior, infrared analysis, and elemental analysis via scanning electron microscopy. It is noticeable that raising of the firing temperature resulted in increasing the HA content as the dominant phase at 600 and 700 °C. The phase transformation from amorphous to crystalline HA occurred at the low temperature of 400 °C, while at higher temperatures other Ca–P compounds as secondary phases transformed to HA. The crystallite size distributions and micro-strain of the HA samples produced were characterized by XRD methods with the aid of Scherrer and Williamson–Hall equations. The results of transmission electron microscopy as a complementary and reliable technique are in good agreement with those obtained from XRD. The results indicate that increasing the firing temperature caused permanent growth of mean crystallite size and a decrease in micro-strain.     

Calculation of chemical shielding in C-doped zigzag BN nanotubes

Abstract  

Chemical shielding tensors at the sites of various ¹¹B and ¹⁵N nuclei were calculated to study the electronic structure properties of carbon-doped boron nitride nanotubes. The chemical shielding tensors were converted to isotropic and anisotropic chemical shielding parameters. The results reveal the significant effect of C-doping on the chemical shielding tensors at the sites of those ¹¹B and ¹⁵N nuclei located in the nearest neighborhood of the C-doped ring. The isotropic and anisotropic chemical shielding tensors of those B atoms directly bonded to C atoms reach values observed for B atoms placed at the B-mouth of the nanotube.     

Synthesis and characterization of tetraprolinium silicotungstic acid tetra‐hydrate,a new organic‐inorganic hybrid based on polyoxometallates

A new solvated polyoxometallate bearing an amino acid, ( I ), has been prepared for the first time by the reaction of 0.16 mmol α‐H₄SiW₁₂O₄₀.15H₂O with 0.78 mmol of L‐proline in hydrochloric acid at pH 3. The structure of ( I ) was substantially characterized by some physical approaches, such as elemental analysis, infrared spectroscopy, and ¹H‐NMR. Our findings proved that ( I ) could be formulated as [L‐C₅H₁₀NO₂]₄[SiW₁₂O₄₀].4H₂O. It is believed that the electrostatic attractions and hydrogen bonding between tungstosilisic acid and the prolinium cation affected the structure of ( I ). It is evident that the polyoxometallates moieties were arranged in good order to form large holes in the structural backbone. These cavities were occupied by the prolinium cations and water molecules. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Characterizing n-Isoclinism Classes of Lie Algebras

In this article, we introduce the notion of the equivalence relation, n-isoclinism, between Lie algebras, and obtain some criterions under which Lie algebras are n-isoclinic. In particular, we show that n-isoclinic Lie algebras can be isoclinically embedded into one Lie algebra. Also, we present the notion of an n-stem Lie algebra and prove its existence within an arbitrary n-isoclinism class. In addition, similar to a result of Hekster [6 Hekster , N. S. ( 1986 ). On the structure of n-isoclinam classes of groups . J. Pure Appl. Algebra 40 : 63 – 85 .[Crossref], [Web of Science ®] , [Google Scholar]] in the group case, we characterize the n-stem Lie algebras in the n-isoclinism classes which contains at least one finitely generated Lie algebra L with dim (L ⁿ⁺¹) finite.     

Numerical study of convective heat transfer and fluid flow around two side by side square cylinders using k - \omega - \overline{{\upsilon^{2} }} - f turbulence model

The effect of spacing between two identical square cylinders placed side by side on the fluid flow and heat transfer is numerically investigated using $ k - \omega - \overline{{\upsilon^{2} }} - f $ turbulence model. The present study is performed at Pr = 0.7 and Re = 10,000, 21,000 for different scaled gap spacing between cylinders in the range of Gl = 0.5–6. It should be noted all geometrical lengths such as Gl are scaled with cylinders side. In order to show the accuracy of $ k - \omega - \overline{{\upsilon^{2} }} - f $ model, part of the results such as various flow patterns (flip-flop, in-phase and anti-phase) and global quantities are compared with the available numerical and experimental results and also a Large Eddy Simulation study of the present work. Based on this comparison, a close agreement is observed. The local and averaged flow and thermal quantities are also compared for two side by side square and circular cylinders and some significant similarities and differences are presented. Progressive increasing and decreasing of the distance between cylinders indicates that the hysteresis phenomenon appears for the gap spacing in the range of Gl = 1–2.5. In the hysteresis range, two different patterns are observed for each distance in the aforementioned range. Also in this range, two different values are found for different quantities such as lift and drag coefficients, Strouhal number and Nusselt number.     

Flexural sensitivity and resonance of cantilever micro-sensors based on nonlocal elasticity theory

Sensors based on microcantilevers, especially ones with uniform structure, have ultrahigh sensitivities. The normalized natural frequencies and the sensitivity of lateral vibration of an elastic microcantilever sensor in contact with a surface are derived analytically based on the Euler–Bernoulli beam theory by taking into account the small scale effect. The interaction of the sensor with the surface is modeled by linear springs, which restricts the results to experiments involving low-amplitude excitations. The results show that the normalized natural frequencies of nonlocal microcantilever are smaller than those for its local counterpart, especially for higher values of small scale parameters. Also, each mode has a different sensitivity to variations in surface stiffness. Moreover, the most sensitivity is observed at the first mode of vibration. When the nonlocal effect is not taken into account, the natural frequencies and the sensitivity of the microcantilever in contact with the surface are compared with those obtained in previous study without considering the nonlocal effect.