electronic states (and unpaired electrons) are relatively rare, but highly important for novel applications in nanoelectronics, optoelectronics and spintronics. One of the best and safest ways to design and/or synthesize open-shell PAHs and GNRs is to break the alternant (bipartite) topology. This has been recently accomplished by introducing Stone-Wales (ST) defects (including pairs of pentagonal-heptagonal together with hexagonal rings) for very small molecules (peri-acenes) such as bisanthene and peritetracene. These molecules (peri-acenes) can be used as models (and precursors) for the 3x2 and 4x2 finite (short) armchair graphene nanoribbons (AGNRs) with Z=3 and 4 zigzag rings respectively, and 2 armchair rings.