{
  "annotation_id": "f324b5b1-c294-48b4-9b26-db13124a77a0",
  "date_created": "2026-03-02T18:01:00.753000Z",
  "date_modified": "2026-03-02T18:01:00.753000Z",
  "file_hash": "ffce7841c8e921b360c8dca8cb9aadef963bf1180b473e15e08891a5863f35a5",
  "private": false,
  "record": {
    "abstract": "Quaternions are an important tool to describe the orientation of a molecule.\nThis paper considers the use of quaternions in matching two conformations of a\nmolecule, in interpolating rotations, in performing statistics on orientational\ndata, in the random sampling of rotations, and in establishing grids in\norientation space. These examples show that many of the rotational problems\nthat arise in molecular modeling may be handled simply and efficiently using\nquaternions.",
    "arxiv_id": "physics/0506177",
    "authors": [
      "Charles F. F. Karney"
    ],
    "categories": [
      "physics.comp-ph",
      "physics.chem-ph"
    ],
    "doi": "10.1016/j.jmgm.2006.04.002",
    "journal_ref": "J. Mol. Graph. Mod. 25(5), 595-604 (Jan. 2007)",
    "title": "Quaternions in molecular modeling",
    "url": "https://arxiv.org/abs/physics/0506177"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f7f57eee-2df9-4703-b89f-a1c2ca3e4261",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}