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 journalArticle

197 Citations (Scopus)

Abstract

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
Volume178
Issue number8 SPEC. ISS.
DOIs
StatePublished - Aug 2005

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Computer program listings
enumeration
embedding
infinity
computer programs
symmetry

Keywords

  • MOFs
  • Nets
  • Tilings

ASJC Scopus subject areas

  • Inorganic Chemistry
  • Physical and Theoretical Chemistry
  • Materials Chemistry

Cite this

Delgado-Friedrichs, O., Foster, M. D., O'Keeffe, M., Proserpio, D. M., Treacy, M., & Yaghi, O. M. (2005). What do we know about three-periodic nets? Journal of Solid State Chemistry, 178(8 SPEC. ISS.), 2533-2554. https://doi.org/10.1016/j.jssc.2005.06.037

What do we know about three-periodic nets? / Delgado-Friedrichs, Olaf; Foster, Martin D.; O'Keeffe, Michael; Proserpio, Davide M.; Treacy, Michael; Yaghi, Omar M.

In: Journal of Solid State Chemistry, Vol. 178, No. 8 SPEC. ISS., 08.2005, p. 2533-2554.

Research output: Contribution to journalArticle

Delgado-Friedrichs, O, Foster, MD, O'Keeffe, M, Proserpio, DM, Treacy, M & Yaghi, OM 2005, 'What do we know about three-periodic nets?', Journal of Solid State Chemistry, vol. 178, no. 8 SPEC. ISS., pp. 2533-2554. https://doi.org/10.1016/j.jssc.2005.06.037
Delgado-Friedrichs O, Foster MD, O'Keeffe M, Proserpio DM, Treacy M, Yaghi OM. What do we know about three-periodic nets? Journal of Solid State Chemistry. 2005 Aug;178(8 SPEC. ISS.):2533-2554. https://doi.org/10.1016/j.jssc.2005.06.037
Delgado-Friedrichs, Olaf ; Foster, Martin D. ; O'Keeffe, Michael ; Proserpio, Davide M. ; Treacy, Michael ; Yaghi, Omar M. / What do we know about three-periodic nets?. In: Journal of Solid State Chemistry. 2005 ; Vol. 178, No. 8 SPEC. ISS. pp. 2533-2554.
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