{
  "counts": {
    "above_hull": 0,
    "entries": 4,
    "intervals": 3,
    "vertices": 4
  },
  "elements": [
    "C",
    "TI"
  ],
  "flags": [
    "has_intermediate_phases",
    "solution_phases"
  ],
  "isotherms": [
    {
      "element_reference": {
        "C": {
          "energy": -1712.0723672367367,
          "phase": "GRAPHITE_A9"
        },
        "TI": {
          "energy": -9159.168336593235,
          "phase": "HCP_A3"
        }
      },
      "intervals": [
        {
          "enthalpy": {
            "intercept": 0.0,
            "slope": -188184.98045561532
          },
          "entropy": {
            "intercept": 0.0,
            "slope": -11.839906630777005
          },
          "intercept": 0.0,
          "kind": "two_phase",
          "left": {
            "phase": "GRAPHITE_A9",
            "x": 0.0
          },
          "mu_a_rel": 0.0,
          "mu_b_rel": -184654.91229364916,
          "right": {
            "phase": "FCC_A1",
            "x": 0.5063685210320599
          },
          "slope": -184654.91229364916,
          "x_hi": 0.5063685210320599,
          "x_lo": 0.0
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                -95290.95023375703,
                -2723.147187671613,
                770.5624077313057,
                -41.712823810253894
              ],
              [
                -97285.24783750759,
                -1307.2038694297864,
                638.0401090142398,
                -34.94277873339823
              ],
              [
                -97989.35437665657,
                -135.9868730094174,
                527.0086617877914,
                -29.353086442317363
              ],
              [
                -97627.6856743205,
                829.9422533461352,
                433.7263613316552,
                -24.718739336510907
              ],
              [
                -96388.73579897919,
                1623.2148263138172,
                355.16234235631873,
                -20.86126413484908
              ],
              [
                -94431.21989444393,
                2270.935555705491,
                288.85174583168964,
                -17.639252747580485
              ],
              [
                -91889.07184565431,
                2795.704977007317,
                232.7770306642833,
                -14.938107037325608
              ],
              [
                -88875.52794502006,
                3216.4275850697063,
                185.28619857454441,
                -12.668256097055291
              ]
            ],
            "knots": [
              0.5063685210320599,
              0.5212761689386316,
              0.5361838274833034,
              0.5510914860279752,
              0.5659991445726471,
              0.580906803117319,
              0.5958144616619908,
              0.6107221202066626,
              0.6256297662429036
            ],
            "max_abs_error": 0.18085965426871553
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                -11.757827876241397,
                0.09297928284927803,
                -0.05832804793010246,
                0.04345994442327458
              ],
              [
                -11.67971669689895,
                0.10686230554430498,
                0.056270587817057155,
                0.0027484399943344118
              ],
              [
                -11.513835363543253,
                0.22767463856536949,
                0.0629489996924793,
                -0.0021469345919012395
              ],
              [
                -11.225358659877305,
                0.3471371051571258,
                0.05563589348804304,
                -0.0031149446067162967
              ],
              [
                -10.825700605838854,
                0.44906402361627384,
                0.04556552706461825,
                -0.0031396861464692005
              ],
              [
                -10.334210741304432,
                0.5307743482399381,
                0.03551409532367544,
                -0.002883964917432147
              ],
              [
                -9.770806262658251,
                0.5931485951803496,
                0.026312725615337595,
                -0.0025515119112072826
              ],
              [
                -9.15389645377377,
                0.6381168380460419,
                0.018184668316359343,
                -0.0022153115477197005
              ]
            ],
            "knots": [
              0.5063685210320599,
              0.5212761689386316,
              0.5361838274833034,
              0.5510914860279752,
              0.5659991445726471,
              0.580906803117319,
              0.5958144616619908,
              0.6107221202066626,
              0.6256297662429036
            ],
            "max_abs_error": 0.0015720791246653931
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              -91785.35385245565,
              -2750.8689608530235,
              787.9529152213588,
              -54.67040623982825
            ],
            [
              -93802.94030432717,
              -1339.0648658277576,
              621.263033256673,
              -35.762226117872785
            ],
            [
              -94556.50436301615,
              -203.86806649807525,
              508.2404175301941,
              -28.712977894074015
            ],
            [
              -94280.84498987808,
              726.4433254434734,
              417.1385196882213,
              -23.790018601986276
            ],
            [
              -93161.05316334836,
              1489.3263876730207,
              341.5769804609322,
              -19.925166709612768
            ],
            [
              -91350.07496192401,
              2112.6851837777363,
              278.2632183109695,
              -16.779398607427083
            ],
            [
              -88975.90595844276,
              2618.8577233543965,
              224.93189152182094,
              -14.17737376084915
            ],
            [
              -86146.2937173274,
              3026.1730498059333,
              179.86443971643666,
              -12.007760959173083
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.5063685210320599,
            0.5212761689386316,
            0.5361838274833034,
            0.5510914860279752,
            0.5659991445726471,
            0.580906803117319,
            0.5958144616619908,
            0.6107221202066626,
            0.6256297662429036
          ],
          "max_abs_error": 0.569803053396754,
          "phase": "FCC_A1",
          "x_hi": 0.6256297662429036,
          "x_lo": 0.5063685210320599
        },
        {
          "enthalpy": {
            "intercept": -228347.43446226892,
            "slope": 228347.43446226892
          },
          "entropy": {
            "intercept": -8.018664359944758,
            "slope": 8.018664359944758
          },
          "intercept": -225956.66968335136,
          "kind": "two_phase",
          "left": {
            "phase": "FCC_A1",
            "x": 0.6256297662429036
          },
          "mu_a_rel": -225956.66968335136,
          "mu_b_rel": 0.0,
          "right": {
            "phase": "HCP_A3",
            "x": 1.0
          },
          "slope": 225956.66968335136,
          "x_hi": 1.0,
          "x_lo": 0.6256297662429036
        }
      ],
      "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": "GRAPHITE_A9",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.0
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -93503.43483943985,
          "energy_per_atom": -93503.43483943985,
          "enthalpy": -95290.95023375703,
          "entries_at_x": 1,
          "entropy": -5.995356009784231,
          "formula": "",
          "nsites": null,
          "phase": "FCC_A1",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.5063685210320599
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -84591.45124833127,
          "energy_per_atom": -84591.45124833127,
          "enthalpy": -85486.48241747287,
          "entries_at_x": 1,
          "entropy": -3.001949250852217,
          "formula": "",
          "nsites": null,
          "phase": "FCC_A1",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.6256297662429036
        },
        {
          "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": "TiC-96Jon",
    "builder_version": 1,
    "engine": {
      "numpy": "2.5.1",
      "pycalphad": "0.11.2",
      "python": "3.13.15"
    },
    "fit_tol": 1.0,
    "observed_at": "2026-09-03T01:02:58Z",
    "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/TiC-96Jon.tdb",
    "source_sha256": "45f9b1014632354badfaba122553c7509f7c406b1cd9cabfcdec27db58cfc30a"
  },
  "reference": {
    "kind": "calphad_formation_T",
    "per": "mole_atoms",
    "temperature_K": 298.15,
    "units": "J/mol-atoms"
  },
  "schema_version": 1,
  "system_id": "C-TI",
  "x_element": "TI"
}
