Interplay between size and impurity position of doped quantum dot

We explore the effect of on and off-center repulsive impurities on regular parabolic dots and their impact on the level structures coupled with a variation in the dot size. Information entropy and probability density are invoked to monitor the pattern of evolution of the electronic states. We have considered Gaussian impurity centers of repulsive type. We have found that the dot size and impurity position interplay in a subtle way to modulate the spatial arrangement of impurity doped dot energy levels. The information entropy profile evinces emergence of resonance-like situations and the probability contour delineates the alteration in the spatial extension of the system for different dot sizes and impurity locations.     

Development and in vitro evaluation of ketoprofen extended release pellets using powder layering technique in a rotary centrifugal granulator

Powder layering technique was evaluated using laboratory scale centrifugal granulator instrument to prepare extended release pellet dosage form of ketoprofen. Ethyl cellulose and shellac polymers were used for drug layering and extended release coating in the same apparatus. Inert sugar spheres were intermittently treated with drug powder and binding solution. Combination of ethyl cellulose (45cps) and shellac was evaluated as binders at different levels (1:3 ratio, at 6%, 12%, 16% and 21%w/w polymer) for drug loading and for extended release coating (1:3 ratio at 2%, 4% and 7% w/w polymer). Pellets were evaluated for drug release study using paddle apparatus in pH 6.8 Phosphate buffer, 900ml at 100 rpm. Ethyl cellulose and shellac when used as binder during drug layering did not extend the ketoprofen release beyond 4h. However, coating of drug loaded pellets using ethyl cellulose and shellac resulted in extended release profile of ketoprofen for about 10h. Ethyl cellulose coating alone at a level of 3% w/w resulted in extended release profile. Coated pellets were evaluated for sphericity, Hardness-Friability Index and scanning electron microscopy. Scanning electron micrographs of the pellets showed a uniform coating of polymer on the core pellets substantiating the use of centrifugal granulator for extended release coating. Release pattern from the optimized batch was best explained by Higuchi's model. The drug release pattern from the pellets was found to be Non-Fickian anomalous type, involving both diffusion and erosion mechanism. Accelerated stability study of the coated pellets filled in hard gelatin capsule was conducted for 3-month period and observed for the effect on drug release profile.     

∗-Prime Group Algebras

An associative algebra R over a field K is said to be right ?-prime if for every nonzero r ? R, there exists a finitely generated subalgebra S of R such that rSt = 0 implies t = 0. Clearly, strongly prime implies ?-prime and ?-prime implies prime. A large number of examples of group algebras are given which show that the concept of ?-prime lies strictly between prime and strongly prime. A complete characterization of ?-prime group algebras is given. It is proved that a group algebra KG of the group G over the field K is ?-prime if and only if Λ⁺(G) = (1). Intersection theorems play an important role in the study. In the process, a new intersection theorem for ?-prime group algebras is obtained. Elementwise characterization of the ?-prime radical is given and its relation with some well-known radicals is discussed.     

Approximate analysis of planar photonic bandgap waveguides: a simple semi-analytical method

A semi-analytical approximate method, Vopt, is applied to a planar photonic bandgap (PBG) waveguide and a coupler configuration. The variational process of the Vopt method presents simple effective index analysis of the complex two dimensional (2-D) structures. The Vopt method expresses the refractive index profile of the 2-D structure as two 1-D refractive index profiles and obtains the optimized indices for the two structures iteratively. The Vopt method separates the planar PBG waveguide into an effective multilayer waveguide confining optical field in the lateral direction and a 1-D Bragg reflector that gives characteristic reflection/transmission spectra. The results obtained by the Vopt method show good agreement with the numerical results of the finite difference time domain analysis. The present analysis is helpful in understanding the optical properties of such complex waveguides and can be used as starting approximation for optimizing the structures for various applications.     

Complementarity with complete but P-acyclic preferences

This paper extends the formulation of complementarity in Milgrom and Shannon (1994) to the case of complete but P-acyclic preferences. In such a case, quasi-supermodularity and the single-crossing property on their own do not guarantee monotone comparative statics or equilibrium existence: an additional condition, monotone closure, is required.     

β-Cyclodextrin catalyzed access to fused 1,8-dihydroimidazo[2,3-b]indoles via one-pot multicomponent cascade in aqueous ethanol: Supramolecular approach toward sustainability

An eco-friendly multicomponent synthesis of substituted imidazole derivatives catalyzed by β-cyclodextrin (β-CD) was scrutinized for the first time via a one-pot three-compound reaction of aldehyde, isatin, and ammonium acetate in H₂O–EtOH at 80°C. β-CD is a supramolecule, highly efficient, biodegradable, and recyclable catalyst used to produce high yields of desired 1,8-dihydroimidazo[2,3-b]indoles. The developed protocol contains number of advantages like nontoxic, inexpensive catalyst; green reaction condition; easily available starting material; shorter reaction time; and good yields.     

Structure and orientation of an intermetallic phase in a W-Ni-Co alloy

The aim of this investigation is crystal structure determination of an intermetallic phase formed in a W-Ni-Co alloy during a heat-treatment carried out at a temperature of 800°C. This intermetallic phase is expected to play a critical role on the final microstructure (fine tungsten particles in an FCC matrix that is present in between large tungsten grains) and thereby, on the properties of the alloy. 92W-5.3Ni-2.7Co alloy was prepared through powder metallurgy route (liquid phase sintering) followed by heat-treatment at 800°C for 5?h. The intermetallic phase formed at this temperature was characterised using transmission and scanning electron microscopes. The intermetallic phase was found to have orthorhombic crystal structure with Pnam (62) space group as determined using automated diffraction tomography along with precession electron diffraction. Chemical analysis in TEM suggested that the intermetallic phase is based on stoichiometry (Co,Ni)₂W. Orientation imaging of the phase was also carried out in TEM and EBSD to understand its evolution. Equiaxed or lath morphology of the intermetallic phase was found to depend on the crystallographic orientation relationship of the phase with the tungsten grains and the matrix phase.     

Solid state C NMR analysis of human gallstones from cancer and benign gall bladder diseases

Natural abundance ¹³C cross polarized (CP) magic angle spinning (MAS) nuclear magnetic resonance (NMR) analysis of human gall bladder stones collected from patients suffering from malignant and benign gall bladder disease was carried out which revealed different polymorphs of cholesterol in these stones. All gall bladder stones in present study had cholesterol as their main constituent. ¹³C CP-MAS NMR analysis revealed three forms of cholesterol molecules in these stones, which are anhydrous form, monohydrate crystalline with amorphous form and monohydrate crystalline form. Our study revealed that stones collected from patients associated with chronic cholecystitis (CC) disease have mostly different polymorph of cholesterol than stones collected from patients associated with gall bladder cancer (GBC). Such study will be helpful in understanding the mechanism of formation of gallstones which are associated with different gall bladder diseases. This is the first study by solid state NMR revealing different crystal polymorphism of cholesterol in human gallstones, extending the applicability of ¹³C CP-MAS NMR technique for the routine study of gallstones.     

Carbon-13 NMR spectra of Piper alkamides and related compounds

¹³C NMR spectra of Piper alkamides and related compounds have been completely assigned on the basis of splitting patterns in the coupled spectra, application of additivity relationships and internal comparison of chemical shifts.