Journal of Mathematical Chemistry vol:51 issue:5 pages:1221-1230
Graphene nanoflakes (GNF) are predicted to possess novel magnetic, optical, and spintronic properties. They have recently been synthesized by chemical vapor deposition and a number of applications are under current study. Here we investigate the statistical properties of rippled graphene nanoflakes (50 – 5000 atoms). These nanoflakes are at room temperature and rippled on a scale of about 10Å. An adjacency matrix is calculated and from the coordinates and we find that the free energy, enthalpy, entropy, and atomic displacement all show power law behavior. The topological Wiener Index is calculated and the vibrational energy versus the Weiner Index shows power law character. These properties are determined from atomic coordinates using MATLAB routines.