{
  "counts": {
    "above_hull": 13,
    "entries": 26,
    "intervals": 5,
    "vertices": 6
  },
  "elements": [
    "BA",
    "GA"
  ],
  "flags": [
    "has_intermediate_compounds",
    "theoretical_vertices"
  ],
  "isotherms": [
    {
      "intervals": [
        {
          "intercept": 0.0,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaaaaaes",
            "x": 0.0
          },
          "mu_a_rel": 0.0,
          "mu_b_rel": -0.7953004528571422,
          "right": {
            "phase": "mp-aaaabtaj",
            "x": 0.4666666666666667
          },
          "slope": -0.7953004528571422,
          "x_hi": 0.4666666666666667,
          "x_lo": 0.0
        },
        {
          "intercept": -0.1345413688461528,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaaabtaj",
            "x": 0.4666666666666667
          },
          "mu_a_rel": -0.1345413688461528,
          "mu_b_rel": -0.641538888461539,
          "right": {
            "phase": "mp-aaacrwwx",
            "x": 0.5454545454545454
          },
          "slope": -0.5069975196153862,
          "x_hi": 0.5454545454545454,
          "x_lo": 0.4666666666666667
        },
        {
          "intercept": -0.17607431500000062,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaacrwwx",
            "x": 0.5454545454545454
          },
          "mu_a_rel": -0.17607431500000062,
          "mu_b_rel": -0.6069280999999991,
          "right": {
            "phase": "mp-aaaaabux",
            "x": 0.6666666666666666
          },
          "slope": -0.4308537849999985,
          "x_hi": 0.6666666666666666,
          "x_lo": 0.5454545454545454
        },
        {
          "intercept": -0.5246135199999974,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaaaabux",
            "x": 0.6666666666666666
          },
          "mu_a_rel": -0.5246135199999974,
          "mu_b_rel": -0.43265849750000074,
          "right": {
            "phase": "mp-aaaaaamx",
            "x": 0.8
          },
          "slope": 0.09195502249999662,
          "x_hi": 0.8,
          "x_lo": 0.6666666666666666
        },
        {
          "intercept": -2.2552475100000007,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaaaaamx",
            "x": 0.8
          },
          "mu_a_rel": -2.2552475100000007,
          "mu_b_rel": 0.0,
          "right": {
            "phase": "mp-aaaaaafm",
            "x": 1.0
          },
          "slope": 2.2552475100000007,
          "x_hi": 1.0,
          "x_lo": 0.8
        }
      ],
      "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": -0.371140211333333,
          "energy_per_atom": -2.8077049898333333,
          "entries_at_x": 1,
          "formula": "Ba8Ga7",
          "nsites": 60,
          "phase": "mp-aaaabtaj",
          "phase_kind": "structure",
          "spacegroup_number": 198,
          "spacegroup_symbol": "P2_13",
          "theoretical": false,
          "x": 0.4666666666666667
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.41108547045454524,
          "energy_per_atom": -2.935035546363636,
          "entries_at_x": 2,
          "formula": "Ba5Ga6",
          "nsites": 22,
          "phase": "mp-aaacrwwx",
          "phase_kind": "structure",
          "spacegroup_number": 176,
          "spacegroup_symbol": "P6_3/m",
          "theoretical": true,
          "x": 0.5454545454545454
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.46331017166666627,
          "energy_per_atom": -3.1216991666666662,
          "entries_at_x": 2,
          "formula": "BaGa2",
          "nsites": 3,
          "phase": "mp-aaaaabux",
          "phase_kind": "structure",
          "spacegroup_number": 191,
          "spacegroup_symbol": "P6/mmm",
          "theoretical": false,
          "x": 0.6666666666666666
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.45104950200000005,
          "energy_per_atom": -3.2573213080000003,
          "entries_at_x": 1,
          "formula": "BaGa4",
          "nsites": 5,
          "phase": "mp-aaaaaamx",
          "phase_kind": "structure",
          "spacegroup_number": 139,
          "spacegroup_symbol": "I4/mmm",
          "theoretical": false,
          "x": 0.8
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": 0.0,
          "energy_per_atom": -3.0280960225,
          "entries_at_x": 8,
          "formula": "Ga",
          "nsites": 4,
          "phase": "mp-aaaaaafm",
          "phase_kind": "structure",
          "spacegroup_number": 64,
          "spacegroup_symbol": "Cmce",
          "theoretical": false,
          "x": 1.0
        }
      ]
    }
  ],
  "mp_agreement": {
    "comparable": true,
    "comparable_note": "",
    "max_abs_delta_energy_above_hull": 2.7755575615628914e-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-GA",
  "x_element": "GA"
}