title: Taxonomy of periodic nets and the design of materials.
abstract: The concept of a natural tiling for a periodic net is introduced and used to derive a transitivity associated with the structure. It is accordingly shown that the transitivity provides a useful method of classifying polyhedra and nets. For design of materials to serve as targets for synthesis, structures with one kind of edge (edge transitive) are particularly important. Edge-transitive polyhedra, layers and 3-periodic nets are then described. Some other nets of special importance in crystal chemistry are also identified.
authors.affiliation: Department of Chemistry and Biochemistry, Arizona State University, Tempe, AZ 85287, USA.
authors.forename: Olaf
authors.initials: O
authors.lastname: Delgado-Friedrichs
authors.forename: Michael
authors.initials: M
authors.lastname: O'Keeffe
authors.forename: Omar M
authors.initials: OM
authors.lastname: Yaghi
mesh_terms: D003460:Crystallization; D008958:Models, Molecular; D009942:Organometallic Compounds / Q000138:chemical synthesis / Q000737:chemistry* / Q000145:classification*; D009626:Terminology as Topic
chemical_list: D009942:Organometallic Compounds