Synthesis and Diels-Alder Reactions of a New Kind of Chiral Dienophiles: Cyclic Vinyl-p-tolylsulfilimines

A new kind of chiral dienophiles, cyclic vinyl-p-tolylsulfilimines (2a and 2b), were obtained from the corresponding (Z)-sulfinylacrylonitriles with HBF(4) and methanol. The asymmetric Diels-Alder reaction of optically pure 2a with cyclopentadiene under mild thermal or catalyzed conditions afforded only the endo-4a adduct with complete endo and pi-facial selectivities. The ability of the sulfilimine moiety to enhance the dienophilic reactivity of the double bond is similar to that of the sulfinyl group.     

Zeros of the Whittaker function associated to Coulomb waves

The zeros in the complex z plane of the Whittaker function W_c/z,µ(z),closely related to spherical waves in the quantum-mechanicalCoulomb problem, are investigated for varying real values ofthe parameters c and µ     

Trench formation and lateral damage induced by gallium milling of silicon

Molecular dynamics simulations are performed to model the nanomachining of materials via focused ion beams (FIBs). The goal of this research is to investigate the fundamental dynamics which govern the interaction of FIB with materials which are vital to the semiconductor industry, namely silicon. Specifically, we focus on the formation of trenches/holes within the sample and the dynamics responsible for their characteristic v-shape, as well as the extent of lateral damage due to a gallium beam. These phenomena have been successfully modelled, with evidence that the lateral and subsurface damage created is much larger than the beam itself. The results presented here begin to elucidate the dynamics governing the spatial resolution of these experiments, and provide an idea of some of the technical issues associated with these beams.