(2018-08-13) Silva Filho, Franklin Ferreira da; Bastos, Cristiano Costa; Silva, Luiz Carlos Barbosa da; http://lattes.cnpq.br/1481188647500485; http://lattes.cnpq.br/6385190604693576; http://lattes.cnpq.br/0671142012284329
Considering the remarkable versatility of nanostructures on generating compounds with
varied and well-defined geometry, to study models that include elements of differential
geometry seems to be a natural path. On this perspective, one of the possible analysis
is the use of extrinsic Hamiltonians, which incorporate elements of the ambient that
contains the physical system in the form of a potential term. This work aim to study the
confinemnt on bidimensional structures (planes, cylinders, spheres and cones), to explore
its Hamiltonians, energy spectra and seeks relationships with physical and chemical
properties of equivalent nanomaterials via computational simulation. We present
computational simulated electron density results that are consistent with the theoretical
models, and we explore an application in the acidity-basicity control of nanostructures
using their curvature.
