Scientific and technological reasons are associated with the potential applications, new knowledge to be acquired, and the optimization of existing technologies. It is worth noticing that, during the process of growth and design of nanostructures, it is possible to control and optimize the fundamental physical and chemical properties of the materials involved. The large variety of compounds, physical properties, and chemical compositions require the use of statistical and optimization methods in order to classify and design new materials, as for example, topological insulators and other topological phases of matter. Products related to Nanotechnology are continuously mentioned among technologists, people in charge of commercialization, and promoters in the business-industrial environment. A race for the benefits of nanotechnology has been launched around the world. The dissemination of Science and Technology plays an important role in the process of decision-making for future educational actions over social sectors.