{
  "counts": {
    "above_hull": 0,
    "entries": 6,
    "intervals": 5,
    "vertices": 6
  },
  "elements": [
    "BI",
    "PB"
  ],
  "flags": [
    "has_intermediate_phases",
    "solution_phases"
  ],
  "isotherms": [
    {
      "element_reference": {
        "BI": {
          "energy": -16915.53990818939,
          "phase": "RHOMBOHEDRAL_A7"
        },
        "PB": {
          "energy": -19320.120436732366,
          "phase": "FCC_A1"
        }
      },
      "intervals": [
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                0.0,
                21.676739452793033,
                0.0028349099797431165,
                -0.0014099525434119187
              ]
            ],
            "knots": [
              0.0,
              0.0014452119596869834
            ],
            "max_abs_error": 0.00020227164422337296
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                0.0,
                -1.7443609569169716e-05,
                3.518979073420371e-05,
                -1.7527578000380607e-05
              ]
            ],
            "knots": [
              0.0,
              0.0014452119596869834
            ],
            "max_abs_error": 2.521184664183964e-06
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              0.0,
              21.681940265009377,
              -0.007656925582214313,
              0.0038158942642283478
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.0,
            0.0014452119596869834
          ],
          "max_abs_error": 0.000549419616325153,
          "phase": "RHOMBOHEDRAL_A7",
          "x_hi": 0.0014452119596869834,
          "x_lo": 0.0
        },
        {
          "enthalpy": {
            "intercept": 18.130672990330716,
            "slope": 2454.651302959738
          },
          "entropy": {
            "intercept": 0.07283534301099355,
            "slope": 12.283336145509951
          },
          "intercept": -3.5851845284014496,
          "kind": "two_phase",
          "left": {
            "phase": "RHOMBOHEDRAL_A7",
            "x": 0.0014452119596869834
          },
          "mu_a_rel": -3.5851845284014496,
          "mu_b_rel": -1211.2105533524468,
          "right": {
            "phase": "HCP_A3",
            "x": 0.6882369360064753
          },
          "slope": -1207.6253688240454,
          "x_hi": 0.6882369360064753,
          "x_lo": 0.0014452119596869834
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                1707.5123647036432,
                -448.22308610660707,
                31.931473804348684,
                3.8295490298878576e-05
              ]
            ],
            "knots": [
              0.6882369360064753,
              0.7539754515394916
            ],
            "max_abs_error": 5.138254437042633e-06
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                3.3675231020008765,
                -0.8042484408425498,
                -0.01690075089389731,
                -0.001623355129244275
              ]
            ],
            "knots": [
              0.6882369360064753,
              0.7539754515394916
            ],
            "max_abs_error": 8.78547461446999e-08
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              703.4853518420832,
              -208.43641346995508,
              36.97043268432935,
              0.48404162686324526
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.6882369360064753,
            0.7539754515394916
          ],
          "max_abs_error": 2.2633653657067043e-05,
          "phase": "HCP_A3",
          "x_hi": 0.7539754515394916,
          "x_lo": 0.6882369360064753
        },
        {
          "enthalpy": {
            "intercept": 4405.902677413517,
            "slope": -4131.012329853688
          },
          "entropy": {
            "intercept": 19.533075181316413,
            "slope": -16.37914731834533
          },
          "intercept": -1417.883687895991,
          "kind": "two_phase",
          "left": {
            "phase": "HCP_A3",
            "x": 0.7539754515394916
          },
          "mu_a_rel": -1417.883687895991,
          "mu_b_rel": -665.4532447849913,
          "right": {
            "phase": "FCC_A1",
            "x": 0.8178748171943648
          },
          "slope": 752.4304431109997,
          "x_hi": 0.8178748171943648,
          "x_lo": 0.7539754515394916
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                1027.2517233067647,
                -1200.004903991346,
                172.75276096289292,
                0.0004197216884449517
              ]
            ],
            "knots": [
              0.8178748171943648,
              1.0
            ],
            "max_abs_error": 6.49220979198617e-05
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                2.190932870937845,
                -2.209998103476514,
                0.019074124876576892,
                -8.892337908239512e-06
              ]
            ],
            "knots": [
              0.8178748171943648,
              1.0
            ],
            "max_abs_error": 4.987936308431529e-07
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              374.02508783664894,
              -541.0939694403492,
              167.065810631803,
              0.003070971897216168
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.8178748171943648,
            1.0
          ],
          "max_abs_error": 0.00020969252805969063,
          "phase": "FCC_A1",
          "x_hi": 1.0,
          "x_lo": 0.8178748171943648
        }
      ],
      "temperature_K": 298.15,
      "vertices": [
        {
          "collinear": false,
          "degenerate": [],
          "energy": 0.0,
          "energy_per_atom": 0.0,
          "enthalpy": 0.0,
          "entries_at_x": 1,
          "entropy": 0.0,
          "formula": "",
          "nsites": null,
          "phase": "RHOMBOHEDRAL_A7",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.0
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -5.3304591542473645,
          "energy_per_atom": -5.3304591542473645,
          "enthalpy": 21.678164410229368,
          "entries_at_x": 1,
          "entropy": 0.09058736731333994,
          "formula": "",
          "nsites": null,
          "phase": "RHOMBOHEDRAL_A7",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.0014452119596869834
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -834.7175682115521,
          "energy_per_atom": -834.7175682115521,
          "enthalpy": 1707.5123647036432,
          "entries_at_x": 1,
          "entropy": 8.526680975734351,
          "formula": "",
          "nsites": null,
          "phase": "HCP_A3",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.6882369360064753
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -850.5696047993151,
          "energy_per_atom": -850.5696047993151,
          "enthalpy": 1291.2207906968752,
          "entries_at_x": 1,
          "entropy": 7.183600186135138,
          "formula": "",
          "nsites": null,
          "phase": "HCP_A3",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.7539754515394916
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -802.4897767851071,
          "energy_per_atom": -802.4897767851071,
          "enthalpy": 1027.2517233067647,
          "entries_at_x": 1,
          "entropy": 6.136983062525154,
          "formula": "",
          "nsites": null,
          "phase": "FCC_A1",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.8178748171943648
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": 0.0,
          "energy_per_atom": 0.0,
          "enthalpy": 0.0,
          "entries_at_x": 1,
          "entropy": 0.0,
          "formula": "",
          "nsites": null,
          "phase": "FCC_A1",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 1.0
        }
      ]
    }
  ],
  "mp_agreement": {
    "comparable": false,
    "comparable_note": "CALPHAD isotherms have no upstream stability flag to compare against",
    "max_abs_delta_energy_above_hull": 0.0,
    "only_mp_stable": [],
    "only_ours_stable": [],
    "stable_sets_match": true
  },
  "provenance": {
    "assessment": "BiPb-98Yoo",
    "builder_version": 1,
    "engine": {
      "numpy": "2.5.1",
      "pycalphad": "0.11.2",
      "python": "3.13.15"
    },
    "fit_tol": 1.0,
    "observed_at": "2026-09-03T00:19:25Z",
    "phase_families": {},
    "sample_conditions": {
      "endpoint_tol": 1.0,
      "fit_samples": 65,
      "order_tol": 0.0001,
      "pressure_Pa": 101325.0,
      "redundant_tol": 1.0,
      "refine_tol": 1e-07,
      "step": 0.002,
      "temperature_K": 298.15
    },
    "source_path": "databases/sgte-binary/BiPb-98Yoo.tdb",
    "source_sha256": "a29e66212cd9bf01d1e375bf37f45b92183c0862c4511f8934f5c6017f59dc6c"
  },
  "reference": {
    "kind": "calphad_formation_T",
    "per": "mole_atoms",
    "temperature_K": 298.15,
    "units": "J/mol-atoms"
  },
  "schema_version": 1,
  "system_id": "BI-PB",
  "x_element": "PB"
}