{
  "model": "HEG3D",
  "lattice": "sc",
  "n_sites": 14,
  "boundary": "P",
  "params": {
    "N_up": 7,
    "N_dn": 7,
    "rs": 0.6,
    "twist": "Gamma"
  },
  "instance_id": "HEG3D/sc_14_P_7_7_0.6",
  "rows": [
    {
      "energy": 31.0168900598,
      "sigma": null,
      "energy_variance": null,
      "dof": 14,
      "einf": null,
      "v_score": null,
      "method": "CCD",
      "method_detail": "full CCD (driver, ladders, rings, crossed-rings, mosaics); equals CCSD in the HEG; extrapolated: 1/M → 0 (complete basis)",
      "method_as_published": "CCD [full CCD (driver, ladders, rings, crossed-rings, mosaics); equals CCSD in the HEG; extrapolated: 1/M → 0 (complete basis)] (arXiv:1310.6806)",
      "family": "FCIQMC / CC",
      "bound_type": "extrapolated",
      "bound_type_reason": "zero-variance or bond-dimension extrapolation; not an upper bound (assigned during source reading)",
      "reference": "James J. Shepherd, Thomas M. Henderson, and Gustavo E. Scuseria, Coupled Cluster Channels in the Homogeneous Electron Gas, J. Chem. Phys. 140, 124102, arXiv:1310.6806, doi:10.1063/1.4867783",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-19",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-19",
        "method": "source text of arXiv:1310.6806 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; single reading",
        "reported_as": "E_c = -0.572",
        "note": "Table III, rs=0.6, column CCD; sources/1310.6806.txt line 489; printed in Ha, total; printed correlation energy -0.572, E = E_HF + E_c with E_HF = 2.25634928999 Ha per electron (QMBL, checks/heg-hf/hf.mjs); version read: arXiv text in sources/; journal copy not read | Sec. II (txt line 64-81): HF eigenvalues with the zero-momentum integral given by 'vM, the Madelung constant ... defined uniquely for a cell geometry and box length, and here we calculate it to be vM L ~ 2.8372'. No Ewald-sum statement beyond that. The paper prints correlation energies only, which do not depend on the Madelung term, and no Hartree-Fock energy.",
        "secondary_of": null
      }
    }
  ],
  "url": "https://qmbl.org/i/HEG3D/sc_14_P_7_7_0.6/",
  "per_site_divisor": 14,
  "per_site_label": "E/N (Ha)",
  "record": {
    "energy": 31.0168900598,
    "sigma": null,
    "method": "CCD",
    "method_detail": "full CCD (driver, ladders, rings, crossed-rings, mosaics); equals CCSD in the HEG; extrapolated: 1/M → 0 (complete basis)",
    "reference": "James J. Shepherd, Thomas M. Henderson, and Gustavo E. Scuseria, Coupled Cluster Channels in the Homogeneous Electron Gas, J. Chem. Phys. 140, 124102, arXiv:1310.6806, doi:10.1063/1.4867783",
    "bound_type": "extrapolated",
    "energy_per_site": 2.2154921471285713
  },
  "no_record_reason": null
}