{
  "counts": {
    "above_hull": 3,
    "entries": 12,
    "intervals": 6,
    "vertices": 7
  },
  "elements": [
    "AU",
    "LU"
  ],
  "flags": [
    "has_intermediate_compounds"
  ],
  "isotherms": [
    {
      "intervals": [
        {
          "intercept": 0.0,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaaaaadd",
            "x": 0.0
          },
          "mu_a_rel": 0.0,
          "mu_b_rel": -3.019937129999999,
          "right": {
            "phase": "mp-aaacivar",
            "x": 0.2
          },
          "slope": -3.019937129999999,
          "x_hi": 0.2,
          "x_lo": 0.0
        },
        {
          "intercept": -0.1312110749999994,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaacivar",
            "x": 0.2
          },
          "mu_a_rel": -0.1312110749999994,
          "mu_b_rel": -2.4950928300000013,
          "right": {
            "phase": "mp-aaacgjbi",
            "x": 0.25
          },
          "slope": -2.3638817550000017,
          "x_hi": 0.25,
          "x_lo": 0.2
        },
        {
          "intercept": -0.21419873500000008,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaacgjbi",
            "x": 0.25
          },
          "mu_a_rel": -0.21419873500000008,
          "mu_b_rel": -2.246129849999999,
          "right": {
            "phase": "mp-aaacfyds",
            "x": 0.3333333333333333
          },
          "slope": -2.031931114999999,
          "x_hi": 0.3333333333333333,
          "x_lo": 0.25
        },
        {
          "intercept": -0.8654793799999999,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaacfyds",
            "x": 0.3333333333333333
          },
          "mu_a_rel": -0.8654793799999999,
          "mu_b_rel": -0.9435685599999993,
          "right": {
            "phase": "mp-aaaaaqqr",
            "x": 0.5
          },
          "slope": -0.07808917999999941,
          "x_hi": 0.5,
          "x_lo": 0.3333333333333333
        },
        {
          "intercept": -1.5896108649999994,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaaaaqqr",
            "x": 0.5
          },
          "mu_a_rel": -1.5896108649999994,
          "mu_b_rel": -0.21943707499999987,
          "right": {
            "phase": "mp-aaackrxo",
            "x": 0.6666666666666666
          },
          "slope": 1.3701737899999995,
          "x_hi": 0.6666666666666666,
          "x_lo": 0.5
        },
        {
          "intercept": -2.028485014999999,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaackrxo",
            "x": 0.6666666666666666
          },
          "mu_a_rel": -2.028485014999999,
          "mu_b_rel": 0.0,
          "right": {
            "phase": "mp-aaaaaafp",
            "x": 1.0
          },
          "slope": 2.028485014999999,
          "x_hi": 1.0,
          "x_lo": 0.6666666666666666
        }
      ],
      "temperature_K": 0.0,
      "vertices": [
        {
          "collinear": false,
          "degenerate": [],
          "energy": 0.0,
          "energy_per_atom": -3.273882,
          "entries_at_x": 4,
          "formula": "Au",
          "nsites": 1,
          "phase": "mp-aaaaaadd",
          "phase_kind": "structure",
          "spacegroup_number": 225,
          "spacegroup_symbol": "Fm-3m",
          "theoretical": false,
          "x": 0.0
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.6039874259999998,
          "energy_per_atom": -4.12728313,
          "entries_at_x": 1,
          "formula": "LuAu4",
          "nsites": 5,
          "phase": "mp-aaacivar",
          "phase_kind": "structure",
          "spacegroup_number": 87,
          "spacegroup_symbol": "I4/m",
          "theoretical": false,
          "x": 0.2
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.7221815137499998,
          "energy_per_atom": -4.30783064375,
          "entries_at_x": 1,
          "formula": "LuAu3",
          "nsites": 8,
          "phase": "mp-aaacgjbi",
          "phase_kind": "structure",
          "spacegroup_number": 59,
          "spacegroup_symbol": "Pmmn",
          "theoretical": false,
          "x": 0.25
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.8915091066666664,
          "energy_per_atom": -4.5810806133333335,
          "entries_at_x": 1,
          "formula": "LuAu2",
          "nsites": 3,
          "phase": "mp-aaacfyds",
          "phase_kind": "structure",
          "spacegroup_number": 139,
          "spacegroup_symbol": "I4/mmm",
          "theoretical": false,
          "x": 0.3333333333333333
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.9045239699999996,
          "energy_per_atom": -4.80194023,
          "entries_at_x": 1,
          "formula": "LuAu",
          "nsites": 2,
          "phase": "mp-aaaaaqqr",
          "phase_kind": "structure",
          "spacegroup_number": 221,
          "spacegroup_symbol": "Pm-3m",
          "theoretical": false,
          "x": 0.5
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.6761616716666664,
          "energy_per_atom": -4.781422685,
          "entries_at_x": 1,
          "formula": "Lu2Au",
          "nsites": 12,
          "phase": "mp-aaackrxo",
          "phase_kind": "structure",
          "spacegroup_number": 62,
          "spacegroup_symbol": "Pnma",
          "theoretical": false,
          "x": 0.6666666666666666
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": 0.0,
          "energy_per_atom": -4.52095052,
          "entries_at_x": 3,
          "formula": "Lu",
          "nsites": 2,
          "phase": "mp-aaaaaafp",
          "phase_kind": "structure",
          "spacegroup_number": 194,
          "spacegroup_symbol": "P6_3/mmc",
          "theoretical": false,
          "x": 1.0
        }
      ]
    }
  ],
  "mp_agreement": {
    "comparable": true,
    "comparable_note": "",
    "max_abs_delta_energy_above_hull": 0.0,
    "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": "AU-LU",
  "x_element": "LU"
}