{
  "counts": {
    "above_hull": 0,
    "entries": 11,
    "intervals": 10,
    "vertices": 11
  },
  "elements": [
    "CU",
    "TI"
  ],
  "flags": [
    "has_intermediate_phases",
    "solution_phases"
  ],
  "isotherms": [
    {
      "element_reference": {
        "CU": {
          "energy": -9883.671551861504,
          "phase": "FCC_A1"
        },
        "TI": {
          "energy": -9159.16813984719,
          "phase": "HCP_A3"
        }
      },
      "intervals": [
        {
          "enthalpy": {
            "intercept": 0.0,
            "slope": -29870.465311381253
          },
          "entropy": {
            "intercept": 0.0,
            "slope": -10.89758001585667
          },
          "intercept": 0.0,
          "kind": "two_phase",
          "left": {
            "phase": "FCC_A1",
            "x": 0.0
          },
          "mu_a_rel": 0.0,
          "mu_b_rel": -26621.35182965361,
          "right": {
            "phase": "CU4TI",
            "x": 0.19620190158717338
          },
          "slope": -26621.35182965361,
          "x_hi": 0.19620190158717338,
          "x_lo": 0.0
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                -5860.642095386701,
                -148.31943114886644,
                -0.802793023613674,
                1.9503280236537535
              ]
            ],
            "knots": [
              0.19620190158717338,
              0.19992043377374324
            ],
            "max_abs_error": 0.2655312564511405
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                -6.254548559849894,
                -0.10452030208626722,
                -0.0034518351457026447,
                -0.0011486094986310896
              ],
              [
                -6.363669306580497,
                -0.11487003266130262,
                0.005045297742704957,
                -0.018186210739760622
              ]
            ],
            "knots": [
              0.19620190158717338,
              0.1980611624535104,
              0.19992043377374324
            ],
            "max_abs_error": 0.0012919773417747749
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              -3995.848442267459,
              -42.99677902246904,
              1.301824660562879,
              0.3429732097679974
            ],
            [
              -4037.2004234195965,
              -39.36455563350567,
              -2.0976177758004475,
              6.343072498390232
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.19620190158717338,
            0.1980611624535104,
            0.19992043377374324
          ],
          "max_abs_error": 0.4995816095929513,
          "phase": "CU4TI",
          "x_hi": 0.19992043377374324,
          "x_lo": 0.19620190158717338
        },
        {
          "enthalpy": {
            "intercept": -2769.2058330099335,
            "slope": -16199.485452251642
          },
          "entropy": {
            "intercept": -2.4919131001948154,
            "slope": 0.7997823002070009
          },
          "intercept": -2026.2419421868517,
          "kind": "two_phase",
          "left": {
            "phase": "CU4TI",
            "x": 0.19992043377374324
          },
          "mu_a_rel": -2026.2419421868517,
          "mu_b_rel": -18464.182487245213,
          "right": {
            "phase": "CU3TI2",
            "x": 0.4
          },
          "slope": -16437.94054505836,
          "x_hi": 0.4,
          "x_lo": 0.19992043377374324
        },
        {
          "enthalpy": {
            "intercept": -2263.0000118949565,
            "slope": -17465.000005039084
          },
          "entropy": {
            "intercept": -0.6880001782880971,
            "slope": -3.710000004559794
          },
          "intercept": -2057.8727587383873,
          "kind": "two_phase",
          "left": {
            "phase": "CU3TI2",
            "x": 0.4
          },
          "mu_a_rel": -2057.8727587383873,
          "mu_b_rel": -18416.736262417908,
          "right": {
            "phase": "CU4TI3",
            "x": 0.42857142857142855
          },
          "slope": -16358.86350367952,
          "x_hi": 0.42857142857142855,
          "x_lo": 0.4
        },
        {
          "enthalpy": {
            "intercept": -1000.5026471217589,
            "slope": -20410.82718950988
          },
          "entropy": {
            "intercept": 3.684162446972218,
            "slope": -13.911712796833864
          },
          "intercept": -2098.935680686549,
          "kind": "two_phase",
          "left": {
            "phase": "CU4TI3",
            "x": 0.42857142857142855
          },
          "mu_a_rel": -2098.935680686549,
          "mu_b_rel": -18361.98569982036,
          "right": {
            "phase": "CUTI_B11",
            "x": 0.4999969624830945
          },
          "slope": -16263.05001913381,
          "x_hi": 0.4999969624830945,
          "x_lo": 0.42857142857142855
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                -11205.854243644055,
                -0.14513797156227212,
                -0.00868363195223304,
                0.008812203496570359
              ]
            ],
            "knots": [
              0.4999969624830945,
              0.4999999868457304
            ],
            "max_abs_error": 0.0012498371070250869
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                -9.034798015872461,
                -0.0003218248616770503,
                2.0623395983116843e-05,
                -4.473234370665029e-05
              ]
            ],
            "knots": [
              0.4999969624830945,
              0.4999999868457304
            ],
            "max_abs_error": 3.6015886575313516e-06
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              -8512.129215211678,
              -0.04918588930797778,
              -0.014832497509327981,
              0.022149152064652913
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.4999969624830945,
            0.4999999868457304
          ],
          "max_abs_error": 0.0023033802026475314,
          "phase": "CUTI_B11",
          "x_hi": 0.4999999868457304,
          "x_lo": 0.4999969624830945
        },
        {
          "enthalpy": {
            "intercept": -8430.997258438316,
            "slope": -5550.004135224015
          },
          "entropy": {
            "intercept": 0.9760095847968984,
            "slope": -8.496014649187305
          },
          "intercept": -8721.99451614552,
          "kind": "two_phase",
          "left": {
            "phase": "CUTI_B11",
            "x": 0.4999999868457304
          },
          "mu_a_rel": -8721.99451614552,
          "mu_b_rel": -11738.911883714325,
          "right": {
            "phase": "CUTI2",
            "x": 0.6666666666666666
          },
          "slope": -3016.9173675688057,
          "x_hi": 0.6666666666666666,
          "x_lo": 0.4999999868457304
        },
        {
          "enthalpy": {
            "intercept": -34585.99349931508,
            "slope": 33682.49022609113
          },
          "entropy": {
            "intercept": -12.618027691336348,
            "slope": 11.895041265012564
          },
          "intercept": -30823.92854314313,
          "kind": "two_phase",
          "left": {
            "phase": "CUTI2",
            "x": 0.6666666666666666
          },
          "mu_a_rel": -30823.92854314313,
          "mu_b_rel": -687.9448702155169,
          "right": {
            "phase": "CUTI3_L60",
            "x": 0.7500386505835951
          },
          "slope": 30135.983672927614,
          "x_hi": 0.7500386505835951,
          "x_lo": 0.6666666666666666
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                -9322.823981842555,
                4.425503328585156,
                2.471394985370523e-05,
                1.0884537715583065e-09
              ]
            ],
            "knots": [
              0.7500386505835951,
              0.750117255894851
            ],
            "max_abs_error": 1.3096723705530167e-10
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                -8.371448449211575,
                0.007615989352159919,
                -0.0005594099973461409,
                0.00013125035432080216
              ]
            ],
            "knots": [
              0.7500386505835951,
              0.750117255894851
            ],
            "max_abs_error": 4.413323210883391e-06
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              -6826.876626710126,
              2.154796103469634,
              0.16681280406592336,
              -0.039132291693388055
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.7500386505835951,
            0.750117255894851
          ],
          "max_abs_error": 0.0013158323781681247,
          "phase": "CUTI3_L60",
          "x_hi": 0.750117255894851,
          "x_lo": 0.7500386505835951
        },
        {
          "enthalpy": {
            "intercept": -37291.08421299316,
            "slope": 37291.08421299316
          },
          "entropy": {
            "intercept": -14.766195471415513,
            "slope": 14.766195471415513
          },
          "intercept": -32888.54303319064,
          "kind": "two_phase",
          "left": {
            "phase": "CUTI3_L60",
            "x": 0.750117255894851
          },
          "mu_a_rel": -32888.54303319064,
          "mu_b_rel": 0.0,
          "right": {
            "phase": "HCP_A3",
            "x": 1.0
          },
          "slope": 32888.54303319064,
          "x_hi": 1.0,
          "x_lo": 0.750117255894851
        }
      ],
      "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": "FCC_A1",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.0
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -5223.159851799215,
          "energy_per_atom": -5223.159851799215,
          "enthalpy": -5860.642095386701,
          "entries_at_x": 1,
          "entropy": -2.1381259218094577,
          "formula": "",
          "nsites": null,
          "phase": "CU4TI",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.19620190158717338
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -5312.522146301921,
          "energy_per_atom": -5312.522146301921,
          "enthalpy": -6007.813991535525,
          "entries_at_x": 1,
          "entropy": -2.3320202758128694,
          "formula": "",
          "nsites": null,
          "phase": "CU4TI",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.19992043377374324
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -8601.418160210196,
          "energy_per_atom": -8601.418160210196,
          "enthalpy": -9249.00001391059,
          "entries_at_x": 1,
          "entropy": -2.172000180112015,
          "formula": "",
          "nsites": null,
          "phase": "CU3TI2",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.4
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -9068.814260315325,
          "energy_per_atom": -9068.814260315325,
          "enthalpy": -9748.000014054564,
          "entries_at_x": 1,
          "entropy": -2.2780001802422944,
          "formula": "",
          "nsites": null,
          "phase": "CU4TI3",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.42857142857142855
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -10230.411290964086,
          "energy_per_atom": -10230.411290964086,
          "enthalpy": -11205.854243644055,
          "entries_at_x": 1,
          "entropy": -3.2716516943819087,
          "formula": "",
          "nsites": null,
          "phase": "CUTI_B11",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.4999969624830945
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -10230.453160244579,
          "energy_per_atom": -10230.453160244579,
          "enthalpy": -11205.999253044072,
          "entries_at_x": 1,
          "entropy": -3.2719976280378873,
          "formula": "",
          "nsites": null,
          "phase": "CUTI_B11",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.4999999868457304
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -10733.27276119139,
          "energy_per_atom": -10733.27276119139,
          "enthalpy": -12131.000015254325,
          "entries_at_x": 1,
          "entropy": -4.688000181327972,
          "formula": "",
          "nsites": null,
          "phase": "CUTI2",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.6666666666666666
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -8220.77601509125,
          "energy_per_atom": -8220.77601509125,
          "enthalpy": -9322.823981842555,
          "entries_at_x": 1,
          "entropy": -3.696286992290144,
          "formula": "",
          "nsites": null,
          "phase": "CUTI3_L60",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.7500386505835951
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -8218.279382753957,
          "energy_per_atom": -8218.279382753957,
          "enthalpy": -9318.39845379893,
          "entries_at_x": 1,
          "entropy": -3.689817444390332,
          "formula": "",
          "nsites": null,
          "phase": "CUTI3_L60",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.750117255894851
        },
        {
          "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": "CuTi-02Can",
    "builder_version": 1,
    "engine": {
      "numpy": "2.5.1",
      "pycalphad": "0.11.2",
      "python": "3.13.15"
    },
    "fit_tol": 1.0,
    "observed_at": "2026-09-03T00:32:26Z",
    "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/CuTi-02Can.tdb",
    "source_sha256": "7a0d7d4eccef16ec9dd35c65cfb26fe9bd8ca757b1eadfa98382321fae906fdd"
  },
  "reference": {
    "kind": "calphad_formation_T",
    "per": "mole_atoms",
    "temperature_K": 298.15,
    "units": "J/mol-atoms"
  },
  "schema_version": 1,
  "system_id": "CU-TI",
  "x_element": "TI"
}