{
  "annotation_id": "e195b423-de05-4613-ace8-1d724316c2fe",
  "date_created": "2026-03-02T18:01:06.754000Z",
  "date_modified": "2026-03-02T18:01:06.754000Z",
  "file_hash": "1a037e09221a9c6c2703cba839f8a46c0c467eb0d5b62af79354234926703e3d",
  "private": false,
  "record": {
    "abstract": "On the basis of empirical Fischer projections, we developed an algebraic\napproach to central molecular chirality of tetrahedral molecules. The elements\nof such an algebra are obtained from the 24 projections which a single chiral\ntetrahedron can generate in S and R absolute configurations. They constitute a\nmatrix representation of the O(4) orthogonal group. According to this\nrepresentation, given a molecule with n chiral centres, it is possible to\ndefine an index of chirality, where n is the number of stereogenic centres of\nthe molecule and p the number of permutations observed under rotations and\nsuperimpositions of the tetrahedral molecule to its mirror image. The chirality\nindex, not only assigns the global chirality of a given tetrahedral chain, but\nindicates also a way to predict the same property for new compounds, which can\nbe consistently built up",
    "arxiv_id": "physics/0604163",
    "authors": [
      "S. Capozziello",
      "A. Lattanzi"
    ],
    "categories": [
      "physics.chem-ph"
    ],
    "doi": "10.1002/chir.20272",
    "journal_ref": "Chirality 18 (2006)",
    "title": "Geometrical and Algebraic Approach to Central Molecular Chirality: a   Chirality Index and an Aufbau Description of Tetrahedral Molecules",
    "url": "https://arxiv.org/abs/physics/0604163"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5bf7ee56-4796-4ee5-90bc-220516715cc7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}