{
  "annotation_id": "f6bcc075-69d3-4d83-b076-724906e5589c",
  "date_created": "2026-03-02T18:00:35.386000Z",
  "date_modified": "2026-03-02T18:00:35.386000Z",
  "file_hash": "faf44ab76d22c533076fc90fd696d09bc1bcc1dfeaa0460cd849a6fcf0a695e1",
  "private": false,
  "record": {
    "abstract": "Phonon frequency moments and thermodynamic functions (electrostatic and\nvibrational parts of the free energy, internal energy, and heat capacity) are\ncalculated for bcc and fcc Coulomb crystals in the harmonic approximation with\na fractional accuracy within one part on 10^5. Temperature dependence of\nthermodynamic functions is fitted by analytic formulas with an accuracy of a\nfew parts in 10^5. The static-lattice (Madelung) part of the free energy is\ncalculated with an accuracy about 10^{-12}. The Madelung constant and frequency\nmoments of hcp crystals are also computed.",
    "arxiv_id": "physics/0109018",
    "authors": [
      "D. A. Baiko",
      "A. Y. Potekhin",
      "D. G. Yakovlev"
    ],
    "categories": [
      "physics.plasm-ph",
      "astro-ph"
    ],
    "doi": "10.1103/PhysRevE.64.057402",
    "journal_ref": "Phys. Rev E 64 (2001) 057402",
    "title": "Thermodynamic functions of harmonic Coulomb crystals",
    "url": "https://arxiv.org/abs/physics/0109018"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "815bf130-0f95-49df-aa12-0e911674cc57",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}