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.