A quotient space approach to model nanotori and determine their symmetry groups
Document Type
Conference Proceeding
Publication Date
6-19-2014
Abstract
This paper discusses a geometric model of a nanotorus based on the concept of quotient spaces. The derivation of the symmetry group of the embedded toroidal quotient space in the 4-dimensional flat torus is accomplished using fundamental results from algebra and the theory of manifolds. The realization of these 4-dimensional symmetries as either axial point group symmetries or as non-rigid motions of 3-dimensional round torus will be explored. As a particular example, we discuss the derivation of the symmetry groups of carbon nanotori.
Recommended Citation
Loyola, Mark; De Las Peñas, Ma. Louise Antonette N.; Santoso, Eko Budi; and Estrada, Grace M., (2014). A quotient space approach to model nanotori and determine their symmetry groups. Archīum.ATENEO.
https://archium.ateneo.edu/mathematics-faculty-pubs/41