MatSci-SAM
Definitions for space group

Provenance: space group

The published history of this term as a W3C PROV-O graph, including definitions and revisions, AI-assisted activity, examples and featured selections, comments, and votes. Click a node for details, or download the graph as PROV-O Turtle.

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  1. Term "space group" created

    Oct 20, 2025 at 8:37 PM UTC

  2. Definition 1 · revision 1 writtenElif Ertekin

    Oct 20, 2025 at 8:37 PM UTC

    Initial contribution The group of isometries acting on Euclidean space that contains a subgroup of three linearly independent translations.

  3. Downvoted definition 1 · revision 1A community member

    Oct 20, 2025 at 8:37 PM UTC

  4. Definition 2 · revision 1 generated by AIgemma3revision 53

    Oct 20, 2025 at 8:37 PM UTC

    AI-generated definition A mathematical group describing the symmetry operations of a crystal structure.

  5. Upvoted AI-authored definition 2 · revision 1A community member

    Oct 20, 2025 at 8:37 PM UTC

  6. Upvoted AI-authored definition 2 · revision 1A community member

    Oct 20, 2025 at 8:37 PM UTC

  7. Upvoted AI-authored definition 2 · revision 1A community member

    Sep 8, 2026 at 7:09 PM UTC

  8. Revision guidance submitted for definition 2 · revision 1Colton Gerber

    Sep 8, 2026 at 7:36 PM UTC

    Would be nice to have a less mathematical definition after, clarifying that in practice it describes the symmetry (reflections, rotations, translations, inversions, if those are all the right ones) of a crystal structure. Another much more …

  9. AI generated a revision suggestiongemma4:26brevision-suggestion

    Sep 8, 2026 at 7:36 PM UTC

    A mathematical group describing the symmetry operations of a crystal structure—such as rotations, reflections, inversions, and translations—formally defined as the group of isometries acting on Euclidean space that contains a subgroup of th…

  10. Definition 3 · revision 1 published with AI assistancegemma4:26brevision 102

    Sep 8, 2026 at 7:37 PM UTC

    AI-assisted suggested revision A mathematical group describing the symmetry operations of a crystal structure—such as rotations, reflections, inversions, and translations—formally defined as the group of isometries acting on Euclidean space that contains a subgroup of th…

  11. Upvoted AI-authored definition 2 · revision 1A community member

    Sep 10, 2026 at 4:53 PM UTC