Solid Modeling of Nanoscale Artifacts

摘要

Solid modeling involves creation and manipulation of complete and unambiguous mathematical representations of 3-D objects. The purpose of such a representation is to provide tools for visualization, calculation of geometric properties and realization by design and manufacturing processes. Existing methods of solid modeling namely constructive solid geometry (CSG), boundary representation (B-rep) and decomposition methods are found to be inadequate for representing nanoscale artifacts as they do not account for arrangement of atoms and molecules in the form of lattice structures, lattice planes and lattice constants. The proposed work is a step in the direction of bridging this gap. The paper presents a new solid modeling scheme for representing nanoscale artifacts. The applicability and effectiveness of the new representation is demonstrated by taking many examples including devices such as nanotubes.