{
  "abstract": "New results and new data reported in this work. This paper reports a primary data set and the law it yields, not a survey of the literature. (i) Orientational partition functions 𝑍(𝑦) and low-temperature interaction heat capacities 𝛾 = 𝐶𝑣/𝑘𝐵 are computed for 28 multipole rank pairs spanning 𝐿 = 𝑛 +𝑚 = 2 to 𝐿 = 24, each entry obtained by up to three mutually independent numerical routes — the large-𝑦 tail of the thermal coupling function, the exact fluctuation formula, and the sublevel-volume exponent — and each with the coupling-minimum structure measured independently of the exponent. (ii) The exact second-moment identity is verified by direct quadrature for nine rank pairs to a maximum relative deviation of 6.8 × 10−14. (iii) Zero-parameter predictions — dominant channel, coupling scale and freezing temperature 𝑇∗ — are given for 29 real molecule pairs (H2O, NH3, CO2, C2H4, CH4, BF3, CH3I, SF6, among others), and split them into the two low-temperature classes. (iv) A negative result is reported rather than omitted: the widely used singleparameter universality of the thermal coupling function Φ𝑛𝑚(𝑦) is falsified, with relative deviations up to 47%. (v) The orientation average is reduced exactly to a three-dimensional integral and the kernel is obtained from a three-term recurrence valid at any rank, which removes the monomial-expansion ceiling of the earlier 𝐿 ≤ 16 version. Every number quoted is tabulated in the main text (Tables 1, 2, 2a-2c, 3, 4) and in the Supporting Information (S1-S12), and the complete machine-readable data and code are openly archived (Zenodo DOI 10.5281/zenodo.23086356).",
  "abstract_shown": true,
  "affiliations": [
    "Hunan Institute of Engineering"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Fuxing Lin",
      "orcid": "0009-0003-7588-6942"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1f0s610amnj0c.bib",
  "cited_by": 0,
  "doi": "10.26434/chemrxiv.15010099/v1",
  "fulltext_url": null,
  "id": "1f0s610amnj0c",
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  "landing_url": "https://chemrxiv.org/doi/full/10.26434/chemrxiv.15010099/v1",
  "language": null,
  "licence": "CC-BY-NC-ND",
  "licence_label": "CC BY-NC-ND",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by-nc-nd/4.0/",
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  "native_subjects": [
    [
      "openalex",
      "1606|Advanced Physical and Chemical Molecular Interactions"
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  "pdf_url": "https://chemrxiv.org/doi/pdf/10.26434/chemrxiv.15010099/v1",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": "American Chemical Society (ACS)",
  "ris": "https://research.draconitic.com/paper/1f0s610amnj0c.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:22Z",
      "native_id": "10.26434/chemrxiv.15010099",
      "source": "chemrxiv",
      "url": "https://chemrxiv.org/doi/full/10.26434/chemrxiv.15010099/v1"
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  "subjects": [
    {
      "field": "chemistry",
      "origin": "openalex:1606|Advanced Physical and Chemical Molecular Interactions",
      "subfield": "physical"
    }
  ],
  "title": "Exact orientational thermodynamics of multipole rank pairs: a two-valued low-temperature heat-capacity law, with new data for 28 rank pairs (L = 2-24) and 29 real molecule pairs",
  "title_text": "Exact orientational thermodynamics of multipole rank pairs: a two-valued low-temperature heat-capacity law, with new data for 28 rank pairs (L = 2-24) and 29 real molecule pairs",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:22Z",
  "url": "https://research.draconitic.com/paper/1f0s610amnj0c",
  "venue": "ChemRxiv",
  "versions": []
}