{
  "counts": {
    "above_hull": 4,
    "entries": 16,
    "intervals": 6,
    "vertices": 7
  },
  "elements": [
    "LA",
    "PB"
  ],
  "flags": [
    "has_intermediate_compounds",
    "theoretical_vertices"
  ],
  "isotherms": [
    {
      "intervals": [
        {
          "intercept": 0.0,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaaaaaba",
            "x": 0.0
          },
          "mu_a_rel": 0.0,
          "mu_b_rel": -1.503391035,
          "right": {
            "phase": "mp-aaabxjwd",
            "x": 0.25
          },
          "slope": -1.503391035,
          "x_hi": 0.25,
          "x_lo": 0.0
        },
        {
          "intercept": -0.02322149125000017,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaabxjwd",
            "x": 0.25
          },
          "mu_a_rel": -0.02322149125000017,
          "mu_b_rel": -1.4337265612499994,
          "right": {
            "phase": "mp-aaackxym",
            "x": 0.375
          },
          "slope": -1.4105050699999993,
          "x_hi": 0.375,
          "x_lo": 0.25
        },
        {
          "intercept": -0.03196204499999988,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaackxym",
            "x": 0.375
          },
          "mu_a_rel": -0.03196204499999988,
          "mu_b_rel": -1.4191589716666666,
          "right": {
            "phase": "mp-aaabgnem",
            "x": 0.42857142857142855
          },
          "slope": -1.3871969266666666,
          "x_hi": 0.42857142857142855,
          "x_lo": 0.375
        },
        {
          "intercept": -0.7994528300000159,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaabgnem",
            "x": 0.42857142857142855
          },
          "mu_a_rel": -0.7994528300000159,
          "mu_b_rel": -0.3958379249999785,
          "right": {
            "phase": "mp-aaaabgch",
            "x": 0.4444444444444444
          },
          "slope": 0.4036149050000374,
          "x_hi": 0.4444444444444444,
          "x_lo": 0.42857142857142855
        },
        {
          "intercept": -0.8714816809090905,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaaabgch",
            "x": 0.4444444444444444
          },
          "mu_a_rel": -0.8714816809090905,
          "mu_b_rel": -0.3058018613636352,
          "right": {
            "phase": "mp-aaaabfsi",
            "x": 0.75
          },
          "slope": 0.5656798195454553,
          "x_hi": 0.75,
          "x_lo": 0.4444444444444444
        },
        {
          "intercept": -1.788887264999996,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaaabfsi",
            "x": 0.75
          },
          "mu_a_rel": -1.788887264999996,
          "mu_b_rel": 0.0,
          "right": {
            "phase": "mp-aaaabehv",
            "x": 1.0
          },
          "slope": 1.788887264999996,
          "x_hi": 1.0,
          "x_lo": 0.75
        }
      ],
      "temperature_K": 0.0,
      "vertices": [
        {
          "collinear": false,
          "degenerate": [],
          "energy": 0.0,
          "energy_per_atom": -4.936007105,
          "entries_at_x": 3,
          "formula": "La",
          "nsites": 4,
          "phase": "mp-aaaaaaba",
          "phase_kind": "structure",
          "spacegroup_number": 194,
          "spacegroup_symbol": "P6_3/mmc",
          "theoretical": false,
          "x": 0.0
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.37584775875,
          "energy_per_atom": -5.006014855,
          "entries_at_x": 1,
          "formula": "La3Pb",
          "nsites": 4,
          "phase": "mp-aaabxjwd",
          "phase_kind": "structure",
          "spacegroup_number": 221,
          "spacegroup_symbol": "Pm-3m",
          "theoretical": true,
          "x": 0.25
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.5521608924999999,
          "energy_per_atom": -5.029407984375,
          "entries_at_x": 1,
          "formula": "La5Pb3",
          "nsites": 16,
          "phase": "mp-aaackxym",
          "phase_kind": "structure",
          "spacegroup_number": 193,
          "spacegroup_symbol": "P6_3/mcm",
          "theoretical": false,
          "x": 0.375
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.6264750135714284,
          "energy_per_atom": -5.038184960714285,
          "entries_at_x": 1,
          "formula": "La4Pb3",
          "nsites": 14,
          "phase": "mp-aaabgnem",
          "phase_kind": "structure",
          "spacegroup_number": 220,
          "spacegroup_symbol": "I-43d",
          "theoretical": false,
          "x": 0.42857142857142855
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.620068427777777,
          "energy_per_atom": -5.012359961666666,
          "entries_at_x": 1,
          "formula": "La5Pb4",
          "nsites": 36,
          "phase": "mp-aaaabgch",
          "phase_kind": "structure",
          "spacegroup_number": 62,
          "spacegroup_symbol": "Pnma",
          "theoretical": false,
          "x": 0.4444444444444444
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.447221816249999,
          "energy_per_atom": -4.465708895,
          "entries_at_x": 1,
          "formula": "LaPb3",
          "nsites": 4,
          "phase": "mp-aaaabfsi",
          "phase_kind": "structure",
          "spacegroup_number": 221,
          "spacegroup_symbol": "Pm-3m",
          "theoretical": false,
          "x": 0.75
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": 0.0,
          "energy_per_atom": -3.71264707,
          "entries_at_x": 7,
          "formula": "Pb",
          "nsites": 1,
          "phase": "mp-aaaabehv",
          "phase_kind": "structure",
          "spacegroup_number": 225,
          "spacegroup_symbol": "Fm-3m",
          "theoretical": false,
          "x": 1.0
        }
      ]
    }
  ],
  "mp_agreement": {
    "comparable": true,
    "comparable_note": "",
    "max_abs_delta_energy_above_hull": 8.326672684688674e-16,
    "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": "LA-PB",
  "x_element": "PB"
}
