A New Group of Edge-transitive 3-Periodic Nets and Their Derived Nets for Reticular Chemistry

Edge-transitive and related minimal transitivity nets play a central role in the designed synthesis of crystalline framework materials (reticular chemistry), in particular, metal-organic frameworks. We report a new family of 13 edge-transitive nets that have previously gone unidentified theoretically and their associated minimal transitivity nets. Their relevance to existed materials is noted, uncovering new nets with minimal transitivity 3 2 (three kinds of nodes and two kinds of edges), mostly never known or observed in real crystals, for future design.