Estudo teórico de faixas de Möbius moleculares

Abstract

Several mathematical applications have been studied in many contexts. One of these cases is the application of differential geometry to molecular systems. The study of nanostructures and their use has gained more and more space. In this work, we apply Da Costa’s formalism, in which by applying a confining potential dependent on the mean curvature and Gaussian curvature of the structure studied, we restrict the movement of the particle on the surface, to the Möbius strip to study the variation of electronic and structural properties based on geometric variations and compare them with computational results. We found that as the size of a strip decreases, the greater the variations in properties will be for lower stability, lower conductivity, and lower reactivity, the greater the number of twists.