{
  "counts": {
    "above_hull": 16,
    "entries": 47,
    "intervals": 6,
    "vertices": 7
  },
  "elements": [
    "BA",
    "GE"
  ],
  "flags": [
    "has_intermediate_compounds"
  ],
  "isotherms": [
    {
      "intervals": [
        {
          "intercept": 0.0,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaaaaaes",
            "x": 0.0
          },
          "mu_a_rel": 0.0,
          "mu_b_rel": -1.4765048249999995,
          "right": {
            "phase": "mp-aaaaaupm",
            "x": 0.3333333333333333
          },
          "slope": -1.4765048249999995,
          "x_hi": 0.3333333333333333,
          "x_lo": 0.0
        },
        {
          "intercept": -0.2840531999999999,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaaaaupm",
            "x": 0.3333333333333333
          },
          "mu_a_rel": -0.2840531999999999,
          "mu_b_rel": -0.9083984249999996,
          "right": {
            "phase": "mp-aaaaacoo",
            "x": 0.5
          },
          "slope": -0.6243452249999997,
          "x_hi": 0.5,
          "x_lo": 0.3333333333333333
        },
        {
          "intercept": -0.7807765324999996,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaaaacoo",
            "x": 0.5
          },
          "mu_a_rel": -0.7807765324999996,
          "mu_b_rel": -0.41167509249999995,
          "right": {
            "phase": "mp-aaaaaope",
            "x": 0.5714285714285714
          },
          "slope": 0.3691014399999996,
          "x_hi": 0.5714285714285714,
          "x_lo": 0.5
        },
        {
          "intercept": -0.788075032499997,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaaaaope",
            "x": 0.5714285714285714
          },
          "mu_a_rel": -0.788075032499997,
          "mu_b_rel": -0.40620121750000177,
          "right": {
            "phase": "mp-aaacpqva",
            "x": 0.625
          },
          "slope": 0.38187381499999523,
          "x_hi": 0.625,
          "x_lo": 0.5714285714285714
        },
        {
          "intercept": -0.836614901250006,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaacpqva",
            "x": 0.625
          },
          "mu_a_rel": -0.836614901250006,
          "mu_b_rel": -0.37707729624999636,
          "right": {
            "phase": "mp-aaaaadeh",
            "x": 0.6666666666666666
          },
          "slope": 0.4595376050000097,
          "x_hi": 0.6666666666666666,
          "x_lo": 0.625
        },
        {
          "intercept": -1.5907694937499985,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaaaadeh",
            "x": 0.6666666666666666
          },
          "mu_a_rel": -1.5907694937499985,
          "mu_b_rel": 2.220446049250313e-16,
          "right": {
            "phase": "mp-aaaaaabg",
            "x": 1.0
          },
          "slope": 1.5907694937499988,
          "x_hi": 1.0,
          "x_lo": 0.6666666666666666
        }
      ],
      "temperature_K": 0.0,
      "vertices": [
        {
          "collinear": false,
          "degenerate": [],
          "energy": 0.0,
          "energy_per_atom": -1.91897494,
          "entries_at_x": 11,
          "formula": "Ba",
          "nsites": 2,
          "phase": "mp-aaaaaaes",
          "phase_kind": "structure",
          "spacegroup_number": 229,
          "spacegroup_symbol": "Im-3m",
          "theoretical": false,
          "x": 0.0
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.49216827499999977,
          "energy_per_atom": -3.3124941866666666,
          "entries_at_x": 1,
          "formula": "Ba2Ge",
          "nsites": 12,
          "phase": "mp-aaaaaupm",
          "phase_kind": "structure",
          "spacegroup_number": 62,
          "spacegroup_symbol": "Pnma",
          "theoretical": false,
          "x": 0.3333333333333333
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.5962258124999997,
          "energy_per_atom": -3.86722721,
          "entries_at_x": 1,
          "formula": "BaGe",
          "nsites": 4,
          "phase": "mp-aaaaacoo",
          "phase_kind": "structure",
          "spacegroup_number": 63,
          "spacegroup_symbol": "Cmcm",
          "theoretical": false,
          "x": 0.5
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.5698614239285712,
          "energy_per_atom": -4.034009458214286,
          "entries_at_x": 2,
          "formula": "Ba3Ge4",
          "nsites": 28,
          "phase": "mp-aaaaaope",
          "phase_kind": "structure",
          "spacegroup_number": 65,
          "spacegroup_symbol": "Cmmm",
          "theoretical": false,
          "x": 0.5714285714285714
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.549403898125,
          "energy_per_atom": -4.15841191,
          "entries_at_x": 1,
          "formula": "Ba3Ge5",
          "nsites": 16,
          "phase": "mp-aaacpqva",
          "phase_kind": "structure",
          "spacegroup_number": 63,
          "spacegroup_symbol": "Cmcm",
          "theoretical": false,
          "x": 0.625
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.5302564979166663,
          "energy_per_atom": -4.25193338125,
          "entries_at_x": 2,
          "formula": "BaGe2",
          "nsites": 24,
          "phase": "mp-aaaaadeh",
          "phase_kind": "structure",
          "spacegroup_number": 62,
          "spacegroup_symbol": "Pnma",
          "theoretical": false,
          "x": 0.6666666666666666
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": 0.0,
          "energy_per_atom": -4.623027855,
          "entries_at_x": 17,
          "formula": "Ge",
          "nsites": 2,
          "phase": "mp-aaaaaabg",
          "phase_kind": "structure",
          "spacegroup_number": 227,
          "spacegroup_symbol": "Fd-3m",
          "theoretical": false,
          "x": 1.0
        }
      ]
    }
  ],
  "mp_agreement": {
    "comparable": true,
    "comparable_note": "",
    "max_abs_delta_energy_above_hull": 1.1934897514720433e-15,
    "only_mp_stable": [],
    "only_ours_stable": [],
    "stable_sets_match": true
  },
  "provenance": {
    "above_hull_window_eV": 0.05,
    "builder_version": 1,
    "collinear_tol": 1e-12,
    "correction_model": "MP2020 (applied upstream by the Materials Project; none added)",
    "degenerate_tol": 1e-06,
    "entry_pool": "all_nondeprecated",
    "is_stable_source": "upstream_flag",
    "observed_at": "2026-09-01T20:54:47Z",
    "snapshot_scope_elements": [],
    "snapshot_scope_kind": "full",
    "snapshot_sha256": "b6deba8ecf1b67211b3d89cd33a5f98a1939d4bcd92db561818195e55187492a",
    "source_release": "2026.04.13",
    "stability_tol": 0.0001,
    "thermo_type": "GGA_GGA+U",
    "upstream_energy_corrections": "MP2020 compatibility corrections (anion and GGA/GGA+U mixing corrections), applied by the Materials Project to its GGA_GGA+U thermo energies"
  },
  "reference": {
    "kind": "dft_elemental_ground_state_0K",
    "per": "atom",
    "temperature_K": 0.0,
    "units": "eV/atom"
  },
  "schema_version": 1,
  "system_id": "BA-GE",
  "x_element": "GE"
}
