{
  "counts": {
    "above_hull": 38,
    "entries": 110,
    "intervals": 4,
    "vertices": 5
  },
  "elements": [
    "BA",
    "MG"
  ],
  "flags": [
    "degenerate_endpoints",
    "has_intermediate_compounds",
    "mp_agreement_not_comparable"
  ],
  "isotherms": [
    {
      "intervals": [
        {
          "intercept": 0.0,
          "kind": "two_phase",
          "left": {
            "phase": "oqmd-603869",
            "x": 0.0
          },
          "mu_a_rel": 0.0,
          "mu_b_rel": -0.13010017291666998,
          "right": {
            "phase": "oqmd-28642",
            "x": 0.6666666666666666
          },
          "slope": -0.13010017291666998,
          "x_hi": 0.6666666666666666,
          "x_lo": 0.0
        },
        {
          "intercept": -0.13710746840909055,
          "kind": "two_phase",
          "left": {
            "phase": "oqmd-28642",
            "x": 0.6666666666666666
          },
          "mu_a_rel": -0.13710746840909055,
          "mu_b_rel": -0.06154643871212469,
          "right": {
            "phase": "oqmd-19084",
            "x": 0.7931034482758621
          },
          "slope": 0.07556102969696586,
          "x_hi": 0.7931034482758621,
          "x_lo": 0.6666666666666666
        },
        {
          "intercept": -0.15985281696428538,
          "kind": "two_phase",
          "left": {
            "phase": "oqmd-19084",
            "x": 0.7931034482758621
          },
          "mu_a_rel": -0.15985281696428538,
          "mu_b_rel": -0.05561286952381296,
          "right": {
            "phase": "oqmd-10851",
            "x": 0.8947368421052632
          },
          "slope": 0.10423994744047242,
          "x_hi": 0.8947368421052632,
          "x_lo": 0.7931034482758621
        },
        {
          "intercept": -0.6325622079166957,
          "kind": "two_phase",
          "left": {
            "phase": "oqmd-10851",
            "x": 0.8947368421052632
          },
          "mu_a_rel": -0.6325622079166957,
          "mu_b_rel": 0.0,
          "right": {
            "phase": "oqmd-ref-Mg",
            "x": 1.0
          },
          "slope": 0.6325622079166957,
          "x_hi": 1.0,
          "x_lo": 0.8947368421052632
        }
      ],
      "temperature_K": 0.0,
      "vertices": [
        {
          "collinear": false,
          "degenerate": [],
          "energy": 0.0,
          "energy_per_atom": -1.92352708,
          "entries_at_x": 24,
          "formula": "Ba1",
          "nsites": 1,
          "phase": "oqmd-603869",
          "phase_kind": "structure",
          "spacegroup_number": 229,
          "spacegroup_symbol": "Im-3m",
          "theoretical": false,
          "x": 0.0
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.0867334486111133,
          "energy_per_atom": -1.75625310916667,
          "entries_at_x": 7,
          "formula": "Ba1 Mg2",
          "nsites": 12,
          "phase": "oqmd-28642",
          "phase_kind": "structure",
          "spacegroup_number": 194,
          "spacegroup_symbol": "P63/mmc",
          "theoretical": false,
          "x": 0.6666666666666666
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.0771797552011521,
          "energy_per_atom": -1.69852559482759,
          "entries_at_x": 1,
          "formula": "Ba6 Mg23",
          "nsites": 29,
          "phase": "oqmd-19084",
          "phase_kind": "structure",
          "spacegroup_number": 225,
          "spacegroup_symbol": "Fm-3m",
          "theoretical": false,
          "x": 0.7931034482758621
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.0665854955701785,
          "energy_per_atom": -1.64920788105263,
          "entries_at_x": 1,
          "formula": "Ba2 Mg17",
          "nsites": 19,
          "phase": "oqmd-10851",
          "phase_kind": "structure",
          "spacegroup_number": 166,
          "spacegroup_symbol": "R-3m",
          "theoretical": false,
          "x": 0.8947368421052632
        },
        {
          "collinear": false,
          "degenerate": [
            {
              "energy": 0.0,
              "phase": "oqmd-752492"
            }
          ],
          "energy": 0.0,
          "energy_per_atom": -1.542516,
          "entries_at_x": 30,
          "formula": "Mg",
          "nsites": null,
          "phase": "oqmd-ref-Mg",
          "phase_kind": "structure",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 1.0
        }
      ]
    }
  ],
  "mp_agreement": {
    "comparable": false,
    "comparable_note": "is_stable is derived by the extraction, not an upstream flag, so comparing it against a hull recomputed from the same energies tests the derivation rather than the data",
    "max_abs_delta_energy_above_hull": 2.478098420910513e-10,
    "only_mp_stable": [
      "oqmd-752493",
      "oqmd-752508",
      "oqmd-ref-Ba"
    ],
    "only_ours_stable": [],
    "stable_sets_match": false
  },
  "provenance": {
    "above_hull_window_eV": 0.05,
    "builder_version": 1,
    "collinear_tol": 1e-12,
    "correction_model": "OQMD fit-partial ('standard' fit, applied upstream by OQMD; none added)",
    "degenerate_tol": 1e-06,
    "entry_pool": "all_nondeprecated",
    "is_stable_source": "derived",
    "observed_at": "2026-09-05T17:02:03Z",
    "snapshot_scope_elements": [],
    "snapshot_scope_kind": "full",
    "snapshot_sha256": "2a9393262c52ec35600424236c352a4cdb3291c8b25c1c6588f5e62abe8e0d8d",
    "source_release": "qmdb_v1_8_022026",
    "stability_tol": 0.0001,
    "thermo_type": "standard",
    "upstream_energy_corrections": "OQMD 'standard' fit (fit-partial of Kirklin et al. 2015): elemental reference energies of a subset of elements fitted to experimental formation enthalpies, applied by OQMD"
  },
  "reference": {
    "kind": "dft_fitted_elemental_reference_0K",
    "per": "atom",
    "temperature_K": 0.0,
    "units": "eV/atom"
  },
  "schema_version": 1,
  "system_id": "BA-MG",
  "x_element": "MG"
}