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Subperiodic group

  • Page ID
    19302
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    A subperiodic group is a group of Euclidean mappings such that its translations form a lattice in a proper subspace of the space on which it acts.
    A crystallographic subperiodic group in n-dimensional space is a subperiodic group for which the group of linear parts is a crystallographic point group of n-dimensional space. The crystallographic subperiodic groups in two and three-dimensional space are classified in:

    • frieze groups: 7 two-dimensional groups with one-dimensional translations;
    • rod groups: 75 three-dimensional groups with one-dimensional translations;
    • layer groups: 80 three-dimensional groups with two-dimensional translations.

    Subperiodic group is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Online Dictionary of Crystallography.

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