Nets with collisions (unstable nets) and crystal chemistry

Olaf Delgado-Friedrichs, Stephen T. Hyde, Shin Won Mun, Michael O'Keeffe*, Davide M. Proserpio

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    17 Citations (Scopus)

    Abstract

    Nets in which different vertices have identical barycentric coordinates (i.e. have collisions) are called unstable. Some such nets have automorphisms that do not correspond to crystallographic symmetries and are called non-crystallographic. Examples are given of nets taken from real crystal structures which have embeddings with crystallographic symmetry in which colliding nodes either are, or are not, topological neighbors (linked) and in which some links coincide. An example is also given of a crystallographic net of exceptional girth (16), which has collisions in barycentric coordinates but which also has embeddings without collisions with the same symmetry. In this last case the collisions are termed unforced.

    Original languageEnglish
    Pages (from-to)535-542
    Number of pages8
    JournalActa Crystallographica Section A: Foundations of Crystallography
    Volume69
    Issue number6
    DOIs
    Publication statusPublished - Nov 2013

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