{
  "counts": {
    "above_hull": 0,
    "entries": 10,
    "intervals": 9,
    "vertices": 10
  },
  "elements": [
    "SN",
    "TI"
  ],
  "flags": [
    "has_intermediate_phases",
    "solution_phases"
  ],
  "isotherms": [
    {
      "element_reference": {
        "SN": {
          "energy": -15259.304737854121,
          "phase": "SNTI3_D019"
        },
        "TI": {
          "energy": -9159.168316423164,
          "phase": "HCP_A3"
        }
      },
      "intervals": [
        {
          "enthalpy": {
            "intercept": 0.0,
            "slope": -88499.99977190807
          },
          "entropy": {
            "intercept": 0.0,
            "slope": -3.7500004255085173
          },
          "intercept": 0.0,
          "kind": "two_phase",
          "left": {
            "phase": "SNTI3_D019#1",
            "x": 0.0
          },
          "mu_a_rel": 0.0,
          "mu_b_rel": -87381.93714504271,
          "right": {
            "phase": "SN3TI2",
            "x": 0.4
          },
          "slope": -87381.93714504271,
          "x_hi": 0.4,
          "x_lo": 0.0
        },
        {
          "enthalpy": {
            "intercept": -14499.999953059407,
            "slope": -52249.999889259554
          },
          "entropy": {
            "intercept": -4.47500015738898,
            "slope": 7.437499967963931
          },
          "intercept": -13165.778656133902,
          "kind": "two_phase",
          "left": {
            "phase": "SN3TI2",
            "x": 0.4
          },
          "mu_a_rel": -13165.778656133902,
          "mu_b_rel": -67633.26916084185,
          "right": {
            "phase": "SN5TI6",
            "x": 0.5454545454545454
          },
          "slope": -54467.49050470796,
          "x_hi": 0.5454545454545454,
          "x_lo": 0.4
        },
        {
          "enthalpy": {
            "intercept": -47285.714238773595,
            "slope": 7857.142967883127
          },
          "entropy": {
            "intercept": 4.257142699753877,
            "slope": -8.571428603464641
          },
          "intercept": -48554.981334705204,
          "kind": "two_phase",
          "left": {
            "phase": "SN5TI6",
            "x": 0.5454545454545454
          },
          "mu_a_rel": -48554.981334705204,
          "mu_b_rel": -38142.2669286991,
          "right": {
            "phase": "SN3TI5_D88",
            "x": 0.625
          },
          "slope": 10412.7144060061,
          "x_hi": 0.625,
          "x_lo": 0.5454545454545454
        },
        {
          "enthalpy": {
            "intercept": -70616.95517748522,
            "slope": 45187.12846982172
          },
          "entropy": {
            "intercept": 2.8160878103418967,
            "slope": -6.265740780405472
          },
          "intercept": -71456.57175813874,
          "kind": "two_phase",
          "left": {
            "phase": "SN3TI5_D88",
            "x": 0.625
          },
          "mu_a_rel": -71456.57175813874,
          "mu_b_rel": -24401.312674638983,
          "right": {
            "phase": "SNTI2_B82",
            "x": 0.6664512035088535
          },
          "slope": 47055.25908349976,
          "x_hi": 0.6664512035088535,
          "x_lo": 0.625
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                -40501.939025663356,
                1.5853037342315266,
                -0.036323143604769514,
                0.03984120361457966
              ]
            ],
            "knots": [
              0.6664512035088535,
              0.666627342385206
            ],
            "max_abs_error": 0.004593857476720586
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                -6.653236809159029,
                -0.021467889042023267,
                -0.0008348077960505691,
                -0.0018789837284717663
              ]
            ],
            "knots": [
              0.6664512035088535,
              0.666627342385206
            ],
            "max_abs_error": 8.498467241402352e-05
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              -38518.276471012585,
              7.985954852482104,
              0.21257480078808122,
              0.6000602018696899
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.6664512035088535,
            0.666627342385206
          ],
          "max_abs_error": 0.029793491899908986,
          "phase": "SNTI2_B82",
          "x_hi": 0.666627342385206,
          "x_lo": 0.6664512035088535
        },
        {
          "enthalpy": {
            "intercept": -82880.65278580695,
            "slope": 63574.20388773773
          },
          "entropy": {
            "intercept": -10.043669198873458,
            "slope": 12.988892023297627
          },
          "intercept": -79886.1328141629,
          "kind": "two_phase",
          "left": {
            "phase": "SNTI2_B82",
            "x": 0.666627342385206
          },
          "mu_a_rel": -79886.1328141629,
          "mu_b_rel": -20184.567083171263,
          "right": {
            "phase": "SNTI3_D019#2",
            "x": 0.749999999999995
          },
          "slope": 59701.56573099164,
          "x_hi": 0.749999999999995,
          "x_lo": 0.666627342385206
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                -35199.999870003965,
                12.701964784222458,
                -0.0004116582283444359,
                -4.137123383429753e-06
              ]
            ],
            "knots": [
              0.749999999999995,
              0.7500810074554158
            ],
            "max_abs_error": 5.926849553361535e-07
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                -4.977514720207226,
                0.010197398330691639,
                -0.005875183461878561,
                0.0026008138879237896
              ]
            ],
            "knots": [
              0.749999999999995,
              0.7500810074554158
            ],
            "max_abs_error": 0.0002911193628394315
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              -33715.95385617419,
              9.661610472940305,
              1.7512742880013459,
              -0.7754367958938158
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.749999999999995,
            0.7500810074554158
          ],
          "max_abs_error": 0.0867978260939708,
          "phase": "SNTI3_D019#2",
          "x_hi": 0.7500810074554158,
          "x_lo": 0.749999999999995
        },
        {
          "enthalpy": {
            "intercept": -139601.55322201058,
            "slope": 139203.9711220148
          },
          "entropy": {
            "intercept": -7.066811958457945,
            "slope": 9.027017936557849
          },
          "intercept": -137494.58323659634,
          "kind": "two_phase",
          "left": {
            "phase": "SNTI3_D019#2",
            "x": 0.7500810074554158
          },
          "mu_a_rel": -137494.58323659634,
          "mu_b_rel": -982.017512366263,
          "right": {
            "phase": "HCP_A3",
            "x": 0.9336636629975132
          },
          "slope": 136512.56572423008,
          "x_hi": 0.9336636629975132,
          "x_lo": 0.7500810074554158
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                -9631.863640430189,
                8789.072744187053,
                857.4718814632633,
                -14.680985220125876
              ]
            ],
            "knots": [
              0.9336636629975132,
              1.0
            ],
            "max_abs_error": 0.10355203334074758
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                -0.6678193690994827,
                0.5640717310808417,
                0.10230106975947784,
                0.0014465682591631168
              ]
            ],
            "knots": [
              0.9336636629975132,
              1.0
            ],
            "max_abs_error": 1.4437940236977642e-06
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              -9432.753295533174,
              8620.894757564653,
              826.9708175158103,
              -15.11227954728929
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.9336636629975132,
            1.0
          ],
          "max_abs_error": 0.10391691406221071,
          "phase": "HCP_A3",
          "x_hi": 1.0,
          "x_lo": 0.9336636629975132
        }
      ],
      "phase_instances": {
        "SNTI3_D019#1": "SNTI3_D019",
        "SNTI3_D019#2": "SNTI3_D019"
      },
      "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": "SNTI3_D019#1",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.0
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -34952.77485801709,
          "energy_per_atom": -34952.77485801709,
          "enthalpy": -35399.99990876323,
          "entries_at_x": 1,
          "entropy": -1.500000170203407,
          "formula": "",
          "nsites": null,
          "phase": "SN3TI2",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.4
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -42875.31893142915,
          "energy_per_atom": -42875.31893142915,
          "enthalpy": -42999.99989265553,
          "entries_at_x": 1,
          "entropy": -0.41818199304501746,
          "formula": "",
          "nsites": null,
          "phase": "SN5TI6",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.5454545454545454
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -42047.034830951394,
          "energy_per_atom": -42047.034830951394,
          "enthalpy": -42374.99988384664,
          "entries_at_x": 1,
          "entropy": -1.1000001774115233,
          "formula": "",
          "nsites": null,
          "phase": "SN3TI5_D88",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.625
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -40096.53771051942,
          "energy_per_atom": -40096.53771051942,
          "enthalpy": -40501.939025663356,
          "entries_at_x": 1,
          "entropy": -1.3597226736338328,
          "formula": "",
          "nsites": null,
          "phase": "SNTI2_B82",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.6664512035088535
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -40087.43671467625,
          "energy_per_atom": -40087.43671467625,
          "enthalpy": -40500.35020386911,
          "entries_at_x": 1,
          "entropy": -1.3849186288541588,
          "formula": "",
          "nsites": null,
          "phase": "SNTI2_B82",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.666627342385206
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -35109.95851591947,
          "energy_per_atom": -35109.95851591947,
          "enthalpy": -35199.999870003965,
          "entries_at_x": 1,
          "entropy": -0.3020001814003024,
          "formula": "",
          "nsites": null,
          "phase": "SNTI3_D019#2",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.749999999999995
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -35099.100407842176,
          "energy_per_atom": -35099.100407842176,
          "enthalpy": -35187.29832101511,
          "entries_at_x": 1,
          "entropy": -0.2958172502865253,
          "formula": "",
          "nsites": null,
          "phase": "SNTI3_D019#2",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.7500810074554158
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -10037.761077322912,
          "energy_per_atom": -10037.761077322912,
          "enthalpy": -9631.863640430189,
          "entries_at_x": 1,
          "entropy": 1.361386674132909,
          "formula": "",
          "nsites": null,
          "phase": "HCP_A3",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.9336636629975132
        },
        {
          "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": "HCP_A3",
          "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": "SnTi-11Wan",
    "builder_version": 1,
    "engine": {
      "numpy": "2.5.1",
      "pycalphad": "0.11.2",
      "python": "3.13.15"
    },
    "fit_tol": 1.0,
    "observed_at": "2026-09-03T01:02:07Z",
    "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/SnTi-11Wan.tdb",
    "source_sha256": "f212f46d607d7fcfb04035600142e2901de00f9c9018cd5c1c21d3162de4a54a"
  },
  "reference": {
    "kind": "calphad_formation_T",
    "per": "mole_atoms",
    "temperature_K": 298.15,
    "units": "J/mol-atoms"
  },
  "schema_version": 1,
  "system_id": "SN-TI",
  "x_element": "TI"
}