{
  "counts": {
    "above_hull": 0,
    "entries": 10,
    "intervals": 9,
    "vertices": 10
  },
  "elements": [
    "MG",
    "Y"
  ],
  "flags": [
    "has_intermediate_phases",
    "redundant_phase_descriptions",
    "solution_phases"
  ],
  "isotherms": [
    {
      "element_reference": {
        "MG": {
          "energy": -9740.85849405555,
          "phase": "HCP_A3"
        },
        "Y": {
          "energy": -13353.412766950712,
          "phase": "HCP_A3"
        }
      },
      "intervals": [
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                0.0,
                -19.89732578523584,
                0.01047227029946285,
                0.002766254596870965
              ]
            ],
            "knots": [
              0.0,
              0.0006757483725955655
            ],
            "max_abs_error": 0.00039709395150566706
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                0.0,
                -0.009440870359673515,
                3.993686333580125e-05,
                -1.6707536841333026e-05
              ]
            ],
            "knots": [
              0.0,
              0.0006757483725955655
            ],
            "max_abs_error": 2.3999706966755345e-06
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              0.0,
              -17.08253028751776,
              -0.0014349051948769898,
              0.007747606415431818
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.0,
            0.0006757483725955655
          ],
          "max_abs_error": 0.0011126452327410163,
          "phase": "HCP_A3#1",
          "x_hi": 0.0006757483725955655,
          "x_lo": 0.0
        },
        {
          "enthalpy": {
            "intercept": 10.697027936430104,
            "slope": -45255.18142101744
          },
          "entropy": {
            "intercept": 0.041545549760018397,
            "slope": -6.412757554310836
          },
          "intercept": -1.689777724519363,
          "kind": "two_phase",
          "left": {
            "phase": "HCP_A3#1",
            "x": 0.0006757483725955655
          },
          "mu_a_rel": -1.689777724519363,
          "mu_b_rel": -43344.907533924255,
          "right": {
            "phase": "MG24Y5_A12",
            "x": 0.16730575653135588
          },
          "slope": -43343.21775619974,
          "x_hi": 0.16730575653135588,
          "x_lo": 0.0006757483725955655
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                -7560.755336670654,
                -275.8605648260138,
                -0.0009995323432008263,
                0.0004997660959702444
              ]
            ],
            "knots": [
              0.16730575653135588,
              0.1724007984461533
            ],
            "max_abs_error": 7.402582195936702e-05
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                -4.786059871964891,
                -0.06313444344272416,
                -0.0013070545220439517,
                -0.00014255146631157734
              ],
              [
                -4.850643921395971,
                -0.06617613580843774,
                -0.0017161960005854238,
                -0.00028209785110283603
              ],
              [
                -4.918818351056098,
                -0.07045450244148305,
                -0.0024213483370234823,
                -0.0008131968326059169
              ],
              [
                -4.992507398667209,
                -0.07773459213772807,
                0.010160564222046933,
                -0.020271416906243137
              ]
            ],
            "knots": [
              0.16730575653135588,
              0.16857951527992995,
              0.1698532744865648,
              0.17112703369319962,
              0.1724007984461533
            ],
            "max_abs_error": 0.0017158280242002277
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              -6133.791585844333,
              -50.14151321986442,
              0.38944842280633196,
              0.04262666111518598
            ],
            [
              -6183.501023980275,
              -49.23478238311104,
              0.5116838372227406,
              0.0841074744299064
            ],
            [
              -6232.140015051731,
              -47.9591873718195,
              0.721938301048155,
              0.24244134141254392
            ],
            [
              -6279.134822781094,
              -45.78892892337064,
              -3.0293722228424684,
              6.0439229506691134
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.16730575653135588,
            0.16857951527992995,
            0.1698532744865648,
            0.17112703369319962,
            0.1724007984461533
          ],
          "max_abs_error": 0.5115741254357999,
          "phase": "MG24Y5_A12",
          "x_hi": 0.1724007984461533,
          "x_lo": 0.16730575653135588
        },
        {
          "enthalpy": {
            "intercept": -2846.2335767827008,
            "slope": -28946.40204371723
          },
          "entropy": {
            "intercept": -0.9658733846759482,
            "slope": -1.696909265586284
          },
          "intercept": -2558.25842714156,
          "kind": "two_phase",
          "left": {
            "phase": "MG24Y5_A12",
            "x": 0.1724007984461533
          },
          "mu_a_rel": -2558.25842714156,
          "mu_b_rel": -30998.726973324294,
          "right": {
            "phase": "C14_LAVES",
            "x": 0.3093007866458626
          },
          "slope": -28440.468546182736,
          "x_hi": 0.3093007866458626,
          "x_lo": 0.1724007984461533
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                -11799.378499471844,
                -824.5114418003817,
                35.306192418719434,
                0.0020584925742923588
              ]
            ],
            "knots": [
              0.3093007866458626,
              0.33297452453520465
            ],
            "max_abs_error": 0.0003091084636253072
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                -6.633557020539152,
                -0.08316410136501598,
                -0.0012670400590907849,
                -6.626641444801296e-05
              ],
              [
                -6.718054428377711,
                -0.08589648297838047,
                -0.001479280269555211,
                -8.787298974302638e-05
              ],
              [
                -6.805518064615386,
                -0.089118452797586,
                -0.0017602891110112262,
                -0.00012208273157054972
              ],
              [
                -6.896518889255554,
                -0.09300492101326248,
                -0.00214941248325011,
                -0.00018101845634739544
              ],
              [
                -6.991854241208415,
                -0.09784611356473379,
                -0.002722101781704067,
                -0.0002959554288033406
              ],
              [
                -7.092718411983657,
                -0.10417659797256305,
                -0.0036393875127797154,
                -0.0005699792428234124
              ],
              [
                -7.201104376711822,
                -0.1131602408944509,
                -0.005258343237453972,
                -0.0015372113593948022
              ],
              [
                -7.32106017220312,
                -0.12825374496301453,
                -0.0023620662752044663,
                -0.015477007991093916
              ]
            ],
            "knots": [
              0.3093007866458626,
              0.3122600144532222,
              0.31521922969972405,
              0.31817844494622594,
              0.32113766019272777,
              0.3240968754392296,
              0.3270560906857315,
              0.3300153059322333,
              0.33297452453520465
            ],
            "max_abs_error": 0.0007497115903012386
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              -9821.583473798108,
              -78.2689215776206,
              0.9294885245669349,
              0.01974349333094949
            ],
            [
              -9898.903163357834,
              -76.35042966475326,
              0.9927355855257787,
              0.026199334915318673
            ],
            [
              -9974.234658102148,
              -74.28642300748086,
              1.0765183809417778,
              0.03639897256645952
            ],
            [
              -10047.408163756121,
              -72.02429612563203,
              1.1925355330987202,
              0.05397066602918699
            ],
            [
              -10118.185953682623,
              -69.47751812449312,
              1.3632828865426347,
              0.08823914654416853
            ],
            [
              -10186.211949774033,
              -66.48670761169079,
              1.636771717328486,
              0.16993944520294235
            ],
            [
              -10250.891946223193,
              -62.70485741533401,
              2.1194634427204306,
              0.45832058404879206
            ],
            [
              -10311.01901961176,
              -57.10145754108536,
              1.2557857547557205,
              4.614665432722745
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.3093007866458626,
            0.3122600144532222,
            0.31521922969972405,
            0.31817844494622594,
            0.32113766019272777,
            0.3240968754392296,
            0.3270560906857315,
            0.3300153059322333,
            0.33297452453520465
          ],
          "max_abs_error": 0.22354262191583985,
          "phase": "C14_LAVES",
          "x_hi": 0.33297452453520465,
          "x_lo": 0.3093007866458626
        },
        {
          "enthalpy": {
            "intercept": -6622.8313228185625,
            "slope": -17916.536935880893
          },
          "entropy": {
            "intercept": 0.890535172837537,
            "slope": -9.212371988086186
          },
          "intercept": -6888.344384600107,
          "kind": "two_phase",
          "left": {
            "phase": "C14_LAVES",
            "x": 0.33297452453520465
          },
          "mu_a_rel": -6888.344384600107,
          "mu_b_rel": -22058.212612233034,
          "right": {
            "phase": "B2_BCC",
            "x": 0.49994538724837223
          },
          "slope": -15169.868227632925,
          "x_hi": 0.49994538724837223,
          "x_lo": 0.33297452453520465
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                -15580.1213193773,
                -2.1278110974367643,
                -1.9473001459265742,
                1.9678986416076167
              ]
            ],
            "knots": [
              0.49994538724837223,
              0.5000001941254968
            ],
            "max_abs_error": 0.28240257382640266
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                -9.478293980269603,
                -0.004348200903443508,
                -0.00339436483992722,
                0.002982815840681439
              ]
            ],
            "knots": [
              0.49994538724837223,
              0.5000001941254968
            ],
            "max_abs_error": 0.0004873435673307114
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              -12754.167969159917,
              -0.831394998175858,
              -0.9352702690795012,
              1.0785720989862055
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.49994538724837223,
            0.5000001941254968
          ],
          "max_abs_error": 0.1374649697663699,
          "phase": "B2_BCC",
          "x_hi": 0.5000001941254968,
          "x_lo": 0.49994538724837223
        },
        {
          "enthalpy": {
            "intercept": -31318.283289023813,
            "slope": 31472.09729501647
          },
          "entropy": {
            "intercept": -8.133614422122402,
            "slope": 8.82741059993599
          },
          "intercept": -28893.24614906802,
          "kind": "two_phase",
          "left": {
            "phase": "B2_BCC",
            "x": 0.5000001941254968
          },
          "mu_a_rel": -28893.24614906802,
          "mu_b_rel": -53.04132442246555,
          "right": {
            "phase": "HCP_A3#2",
            "x": 0.9808777652457469
          },
          "slope": 28840.204824645556,
          "x_hi": 0.9808777652457469,
          "x_lo": 0.5000001941254968
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                -448.0028266913463,
                441.3035513519614,
                6.74113935407388,
                -0.04186401468911072
              ]
            ],
            "knots": [
              0.9808777652457469,
              1.0
            ],
            "max_abs_error": 0.00031888686220327145
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                -0.26157729379851535,
                0.2564783411692867,
                0.005087176419569295,
                1.1776209659364323e-05
              ]
            ],
            "knots": [
              0.9808777652457469,
              1.0
            ],
            "max_abs_error": 1.7779818338448106e-06
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              -370.01355654531596,
              364.83453393232617,
              5.224397704910643,
              -0.045375091920959676
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.9808777652457469,
            1.0
          ],
          "max_abs_error": 0.0008488749809885121,
          "phase": "HCP_A3#2",
          "x_hi": 1.0,
          "x_lo": 0.9808777652457469
        }
      ],
      "phase_instances": {
        "HCP_A3#1": "HCP_A3",
        "HCP_A3#2": "HCP_A3"
      },
      "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": "HCP_A3#1",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.0
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -30.978886586326553,
          "energy_per_atom": -30.978886586326553,
          "enthalpy": -19.884087260339506,
          "entries_at_x": 1,
          "entropy": 0.037212139278842926,
          "formula": "",
          "nsites": null,
          "phase": "HCP_A3#1",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.0006757483725955655
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -7253.259614928813,
          "energy_per_atom": -7253.259614928813,
          "enthalpy": -7560.755336670654,
          "entries_at_x": 1,
          "entropy": -1.0313457043161236,
          "formula": "",
          "nsites": null,
          "phase": "MG24Y5_A12",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.16730575653135588
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -7461.417912686173,
          "energy_per_atom": -7461.417912686173,
          "enthalpy": -7836.616401262915,
          "entries_at_x": 1,
          "entropy": -1.258421896953699,
          "formula": "",
          "nsites": null,
          "phase": "MG24Y5_A12",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.1724007984461533
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -11354.917721052792,
          "energy_per_atom": -11354.917721052792,
          "enthalpy": -11799.378499471844,
          "entries_at_x": 1,
          "entropy": -1.4907287553884387,
          "formula": "",
          "nsites": null,
          "phase": "C14_LAVES",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.3093007866458626
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -11939.524044957889,
          "energy_per_atom": -11939.524044957889,
          "enthalpy": -12588.581690360936,
          "entries_at_x": 1,
          "entropy": -2.176950009736899,
          "formula": "",
          "nsites": null,
          "phase": "C14_LAVES",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.33297452453520465
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -14472.450030170829,
          "energy_per_atom": -14472.450030170829,
          "enthalpy": -15580.1213193773,
          "entries_at_x": 1,
          "entropy": -3.7151477082222684,
          "formula": "",
          "nsites": null,
          "phase": "B2_BCC",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.49994538724837223
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -14473.138138126154,
          "energy_per_atom": -14473.138138126154,
          "enthalpy": -15582.228531979059,
          "entries_at_x": 1,
          "entropy": -3.7199074085289396,
          "formula": "",
          "nsites": null,
          "phase": "B2_BCC",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.5000001941254968
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -604.5304914400804,
          "energy_per_atom": -604.5304914400804,
          "enthalpy": -448.0028266913463,
          "entries_at_x": 1,
          "entropy": 0.5249963600494283,
          "formula": "",
          "nsites": null,
          "phase": "HCP_A3#2",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.9808777652457469
        },
        {
          "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#2",
          "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": "MgY-03Fab-LB",
    "builder_version": 1,
    "engine": {
      "numpy": "2.5.1",
      "pycalphad": "0.11.2",
      "python": "3.13.15"
    },
    "fit_tol": 1.0,
    "observed_at": "2026-09-03T00:48:01Z",
    "phase_families": {
      "BCC_A2": "A2_BCC"
    },
    "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/MgY-03Fab-LB.tdb",
    "source_sha256": "26a9863a7b6f6b5a155a1ae23b55a67676a481dd5eba3a703bb797d0c95f3408"
  },
  "reference": {
    "kind": "calphad_formation_T",
    "per": "mole_atoms",
    "temperature_K": 298.15,
    "units": "J/mol-atoms"
  },
  "schema_version": 1,
  "system_id": "MG-Y",
  "x_element": "Y"
}
