What do we know about three-periodic nets?

Olaf Delgado-Friedrichs, Martin D. Foster, Michael O'Keeffe, Davide M. Proserpio, Michael Treacy, Omar M. Yaghi

Research output: Contribution to journalArticlepeer-review

228 Scopus citations


An account is given of various classifications of three-periodic nets. It is convenient to classify nets according to the nature of their maximum-symmetry embeddings. Other classifications, particularly in terms of the tilings that carry the nets, are also discussed. Although there is an infinity of possible nets, for certain types the number of possibilities is limited - there are for example exactly five regular nets. An account is given of the enumerations of various types of special structures such as sphere packings, the nets of simple tilings and self-dual tilings. Some databases of relevant structures and computer programs are described.

Original languageEnglish (US)
Pages (from-to)2533-2554
Number of pages22
JournalJournal of Solid State Chemistry
Issue number8 SPEC. ISS.
StatePublished - Aug 2005


  • MOFs
  • Nets
  • Tilings

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Ceramics and Composites
  • Condensed Matter Physics
  • Physical and Theoretical Chemistry
  • Inorganic Chemistry
  • Materials Chemistry


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