Topological characterizations on hexagonal and rectangular tessellations of antikekulenes and its computed spectral, nuclear magnetic resonance and electron spin resonance characterizations

Tessellations of antikekulenes are of interest from the standpoints of antiaromaticity, ring currents, unusual pi$$ \pi $$-electron characteristics, magnetism and their highly reactive nature. Although precursors of antikekulenes have been synthesized, up to now synthesis of antikekulenes has been proven to be formidably difficult. Yet they are predicted to have intriguing properties and their antiaromatic nature together with a combination of four and six-membered rings makes them intriguing candidates for theoretical indices. In the present study, we have computed the topological indices of antikekulene by employing graph-theoretical cut methods that simplify the parent tessellations of antikekulenes into simpler graphs. We have derived exact mathematical expressions of several topological descriptors for hexagonal and rectangular antikekulene structures. Furthermore we have obtained the graph-spectral properties, algebraic structure counts, resonance stabilization and delocalization energies as well as nuclear magnetic resonance and electron spin resonance spectroscopic patterns of the two tessellations of antikekulenes. Antikekulene is predicted to have intriguing properties. Their antiaromatic nature and a combination of four- and six-membered rings make them intriguing candidates for theoretical indices. This research derived the exact mathematical expressions of several topological descriptors for hexagonal and rectangular antikekulene structures. Furthermore, we have obtained the graph-spectral properties, algebraic structure counts, resonance stabilization, and delocalization energies, as well as the NMR and ESR spectroscopic patterns of the two tessellations of antikekulenes. image