{
  "id": "math/0605526",
  "version": "v1",
  "published": "2006-05-18T18:21:32.000Z",
  "updated": "2006-05-18T18:21:32.000Z",
  "title": "Coincidences of Hypercubic Lattices in 4 dimensions",
  "authors": [
    "Peter Zeiner"
  ],
  "comment": "13 pages, 8 tables",
  "journal": "Z. Kristallogr. 221 (2006), p. 105-114",
  "categories": [
    "math.MG"
  ],
  "abstract": "We consider the CSLs of 4-dimensional hypercubic lattices. In particular, we derive the coincidence index $\\Sigma$ and calculate the number of different CSLs as well as the number of inequivalent CSLs for a given $\\Sigma$. The hypercubic face centered case is dealt with in detail and it is sketched how to derive the corresponding results for the primitive hypercubic lattice.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-05-18T18:21:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52C07",
      "05A15",
      "20F55",
      "20G45",
      "51F15",
      "20H15",
      "05A15"
    ],
    "keywords": [
      "dimensions",
      "hypercubic face centered case",
      "coincidence index",
      "inequivalent csls",
      "primitive hypercubic lattice"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1524/zkri.2006.221.2.105",
      "journal": "Zeitschrift fur Kristallographie",
      "year": 2006,
      "month": "Feb",
      "volume": 221,
      "pages": 105
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006ZK....221..105Z"
    }
  }
}