Topological Woodward-Hoffmann classification for cycloadditions in polycyclic aromatic azomethine ylides

The study of cycloaddition mechanisms is central to the fabrication of extended sp2 carbon nanostructures. In the context of polycyclic aromatic hydrocarbons (PAHs), the reaction modeling of these compounds has focused mostly on putative, energetically preferred, exothermic products with limited consideration for symmetry allowed or forbidden mechanistic effects. Here, we introduce a scheme for formally classifying symmetry-forbidden reaction coordinates in Woodward-Hoffmann correlation diagrams. Topological classifiers grant access to the study of reaction pathways and correlation diagrams in the same footing, and are employed to investigate cycloaddition reactions of polycyclic aromatic azomethine ylide (PAMY) yielding PAHs with a tetracenoisoindole core by means of tight-binding modeling and density functional theory (DFT). Our scheme provides new insights into cycloadditions of PAMY with pentacene, as observed by mass spectrometry and scanning tunneling microscopy, resulting in topologically-allowed pathways if the product is endothermic, and topologically-forbidden if the product is exothermic. Using this approach, we find that an endothermic, multi-step mechanism is in much better agreement with the experiment than a putative exothermic mechanism. Our work unveils topological classification as a crucial element for reaction modeling, and highlights its fundamental role in the design of cycloadditions in on-surface and solid-state chemical reactions, while underscoring exothermic pathways which are topologically-forbidden.