Unified approach to forming fullerenes and nanotubes


Reactions of elementary fullerenes (from C4 to C12) with each other as well as with their heirs are considered. Under the elementary fullerenes we understand a tetrahedron, a cube, and triangular, pentagonal and hexagonal prisms. The process is similar to fusion of bubbles in a soap solution. The graphs describing the process are suggested. The reaction zone is a vertexconnected subgraph that takes into account physical restrictions, namely that covalent bonds exist only between nearest-neighbor atoms. We supposed that during the reactions new covalent bonds are formed and old covalent bonds between the reacting atoms are destroyed. The clusters obtained resemble both fullerenes and nanotubes.