Design and synthesis of phenoxymethybenzoimidazole incorporating different aryl thiazole-triazole acetamide derivatives as α-glycosidase inhibitors

Molecular Diversity - A novel series of phenoxymethybenzoimidazole derivatives (9a-n) were rationally designed, synthesized, and evaluated for their α-glycosidase inhibitory activity. All...     

Constrained Minimum-Time-Oriented Feedback Control for the Stabilization of Nonholonomic Systems in Chained Form

In this paper, a discontinuous state-feedback law is proposed for the stabilization of nonholonomic systems in power form. The feedback law is based on a receding-horizon strategy in which the open-loop optimization problem is a minimum-time steering process. Suboptimal formulations are used explicitly to meet the real-time implementability requirements. Stability is established in a sampled-data context and illustrative simulations are given to show the effectiveness and the real-time implementability of the proposed scheme.     

Dynamical properties of a condensate in a moving random potential

We study the dynamics of an inhomogeneous Bose-Einstein condensate subject to a one-dimensional harmonic trap and a moving random potential of finite extent. Above the critical velocity, a part of a condensate glues to the moving random potential with a consequent displacement of the condensate center-of-mass along the harmonic trap. We show that the center-of-mass turning point provides a direct measure of the average drag force acting on the condensate.     

Spiral distortion of magnetic lenses with fields of the form B(z) ∝ z, n = 2, 3, 4

The spiral distortion of magnetic lenses with a field distribution in the form of an inverse power law has been studied. The spiral distortion coefficient can be evaluated explicitly in terms of Bessel function. For spherical field (B ∝ Z⁻³), which is useful for the study of single pole magnetic lens, the spiral distortion coefficient was analytically expressed.     

Magnetic lenses performance with fields of the form B(Z)∝Z

Performance of magnetic lenses with fields of the form B(z)∝Zⁿ was studied. To compare the performance of different objective lenses the results are presented in W. Tretner's [Existenzbereiche rotations symmetrischer Elektronenlinsen, Optik 16 (1959) 155-184] form.     

A study on effect of current density on magnetic lenses

Attention has been concentrated on the effect of the current density on magnetic objective lens design. The optical properties of various objective lens types have been investigated in terms of current density σ. Arrangement of energizing coil on symmetric magnetic electron lenses also, has been examined. Favorable current density σ regions are estimated for the iron polepiece and iron free magnetic lenses.     

On the optical properties of monopole, multipole magnetic lenses

In this paper the spherical and chromatic aberration coefficients for the theoretical model B(Z)=B₀(a/Z)ⁿ, which represented the multipole magnetic lenses, were calculated to express the magnitude analytically. The results are presented in a Tretner's (Optik 16 (1959) 155) form, which is particularly suited to the determination of lenses of optimum performance.     

Radial and spiral distortion of magnetic lenses with fields of the form B(z)αz

Both radial and spiral distortion of magnetic lens with the field distribution in the form B(z)αzⁿ are analyzed by means of Scherzer's formula. To estimate the performance of the image in electron microscope the dimensionless quality factors (F.Z. Marai, T. Mulvey, Sherzer's formula and the correction of spiral distortion in the electron microscope, Ultramicroscopy 2 (1977) 187–192.), for both radial and spiral distortion is calculated. The results have been compared with different projector lenses.