{
  "abstract": "We establish an electric-multipole ($Q_{lm}$) criterion for chirality of local atomic charge distributions. For the 11 crystallographic chiral point groups, we identify representative lowest-rank multipole contents required to distinguish the opposite handednesses. For the axial groups $C_n$ and $D_n$ with $n=2,3,4,6$, chirality arises from the relative orientation of two azimuthal anisotropies with $m=n$, belonging to consecutive ranks $l=n$ and $n+1$. Their coexistence produces a latitude-dependent twist of the $n$-fold charge distribution. The polar component, although allowed in $C_n$, is distinct from this chiral mechanism and is not required for handedness. The cubic groups $T$ and $O$ exhibit distinct realizations, with octahedral chirality first appearing at rank nine. We further show that, within a spinless $s$-$p$-$d$-$f$ atomic basis, the scalar charge density contains multipoles only up to rank six and therefore cannot encode the handedness of $C_6$, $D_6$, or $O$. These results connect electric-multipole content and atomic orbital degrees of freedom to the microscopic encoding of crystallographic handedness.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.39150",
  "author_total": 2,
  "authors": [
    {
      "name": "Satoru Hayami"
    },
    {
      "name": "Rikuto Oiwa"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3qr2w8xgb3mp3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.39150",
  "fulltext_url": null,
  "id": "3qr2w8xgb3mp3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.39150",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.str-el"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.39150",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3qr2w8xgb3mp3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:23Z",
      "native_id": "2610.39150",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.39150"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Atomic Charge Chirality from Electric Multipoles",
  "title_text": "Atomic Charge Chirality from Electric Multipoles",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:45Z",
  "url": "https://research.draconitic.com/paper/3qr2w8xgb3mp3",
  "venue": "arXiv",
  "versions": []
}