{
  "counts": {
    "above_hull": 0,
    "entries": 7,
    "intervals": 6,
    "vertices": 7
  },
  "elements": [
    "AL",
    "MG"
  ],
  "flags": [
    "has_intermediate_phases",
    "solution_phases"
  ],
  "isotherms": [
    {
      "element_reference": {
        "AL": {
          "energy": -8437.646013462985,
          "phase": "FCC_A1"
        },
        "MG": {
          "energy": -9740.858454165827,
          "phase": "HCP_A3"
        }
      },
      "intervals": [
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                0.0,
                41.986322913092884,
                -0.2036155941684541,
                -0.000544417919094542
              ]
            ],
            "knots": [
              0.0,
              0.004593735354532255
            ],
            "max_abs_error": 0.00011878819502442184
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                0.0,
                0.01464247365728707,
                -5.560269189915784e-05,
                -1.6774675535487574e-05
              ]
            ],
            "knots": [
              0.0,
              0.004593735354532255
            ],
            "max_abs_error": 2.3673968924178834e-06
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              0.0,
              37.62066939206588,
              -0.18703765166767283,
              0.004456951789599373
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.0,
            0.004593735354532255
          ],
          "max_abs_error": 0.000594396806326003,
          "phase": "FCC_A1",
          "x_hi": 0.004593735354532255,
          "x_lo": 0.0
        },
        {
          "enthalpy": {
            "intercept": 59.828254829742846,
            "slope": -3928.4134883680094
          },
          "entropy": {
            "intercept": 0.23834983535066273,
            "slope": 4.338489945709764
          },
          "intercept": -11.235748580055162,
          "kind": "two_phase",
          "left": {
            "phase": "FCC_A1",
            "x": 0.004593735354532255
          },
          "mu_a_rel": -11.235748580055162,
          "mu_b_rel": -5233.170014261454,
          "right": {
            "phase": "AL8MG5_BETA",
            "x": 0.38461538461538464
          },
          "slope": -5221.934265681399,
          "x_hi": 0.38461538461538464,
          "x_lo": 0.004593735354532255
        },
        {
          "enthalpy": {
            "intercept": 19.548525509856063,
            "slope": -3823.6861921363034
          },
          "entropy": {
            "intercept": 3.686576680147406,
            "slope": -4.6268998507617685
          },
          "intercept": -1079.6043116761043,
          "kind": "two_phase",
          "left": {
            "phase": "AL8MG5_BETA",
            "x": 0.38461538461538464
          },
          "mu_a_rel": -1079.6043116761043,
          "mu_b_rel": -3523.7803133077755,
          "right": {
            "phase": "AL12MG17_A12",
            "x": 0.5412023463587368
          },
          "slope": -2444.176001631671,
          "x_hi": 0.5412023463587368,
          "x_lo": 0.38461538461538464
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                -2049.839413413815,
                -37.761250130345765,
                39.34144343703031,
                -20.850991022293446
              ],
              [
                -2069.110211129424,
                -47.976589449969346,
                19.014357247229906,
                -3.620052243035513
              ],
              [
                -2101.6924955751983,
                4.904719839807713,
                -51.73967588663103,
                28.753789156300023
              ],
              [
                -2119.7736624657223,
                9.67710722789808,
                -64.91223098715827,
                27.861391205671765
              ],
              [
                -2147.1473950193104,
                -25.27545626046375,
                -20.147334585231043,
                28.96747302262255
              ],
              [
                -2163.6027128423816,
                -62.19509852144984,
                40.31556372832799,
                -12.371370642400478
              ],
              [
                -2197.8536182779044,
                9.248624828597153,
                -62.112814306564665,
                34.941891064051866
              ],
              [
                -2215.775916691819,
                -43.62035698378824,
                3.3431978404981333,
                15.939878071168723
              ],
              [
                -2240.11319776394,
                -42.16000944974829,
                23.858333629951154,
                0.9837428768573968
              ],
              [
                -2257.431130706881,
                -118.15497221285841,
                192.0755621194516,
                -109.05364387503545
              ],
              [
                -2292.5641846753233,
                -48.559495792734815,
                2.3239203022556225,
                25.753355404185847
              ],
              [
                -2313.0464047616165,
                -54.19253070669157,
                35.72608329937053,
                2.9808014873889483
              ],
              [
                -2328.5320506815483,
                -61.483603598665276,
                51.58214838731146,
                -8.5338826488196
              ],
              [
                -2346.9673885417224,
                -3.4927844660808263,
                -23.63315064863967,
                12.10170415130436
              ],
              [
                -2361.991619505139,
                -14.495043455205355,
                6.811068188316963,
                2.2255686788842333
              ],
              [
                -2367.4500260931427,
                3.538213252804898,
                5.315250864818946,
                0.05259795346239926
              ]
            ],
            "knots": [
              0.5412023463587368,
              0.5433482076108198,
              0.5469246299461163,
              0.5490704833472944,
              0.552646905682591,
              0.554792759083769,
              0.5583691814190657,
              0.5605150348202436,
              0.5640914571555402,
              0.5662373105567182,
              0.5698137328920148,
              0.5733901552273114,
              0.5755360086284894,
              0.5776818620296674,
              0.5812582843649641,
              0.5848347067002606,
              0.586980559900143
            ],
            "max_abs_error": 13.05611265637117
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                -4.552396842763748,
                -0.1078058454866347,
                0.1350849582898129,
                -0.07196163960478161
              ],
              [
                -4.59707936956535,
                -0.1304719820353928,
                0.06449027330445421,
                -0.012808729747368339
              ],
              [
                -4.6758698080436565,
                0.03575770725844266,
                -0.17826902079991994,
                0.09873112888119598
              ],
              [
                -4.719649992703936,
                0.06274014004397475,
                -0.22427300922443918,
                0.09532423280651073
              ],
              [
                -4.785858629077891,
                -0.07058854742644692,
                -0.0754306960008662,
                0.1042919529362059
              ],
              [
                -4.827585919569,
                -0.18993903115821167,
                0.13644534100459704,
                -0.04252670545391257
              ],
              [
                -4.923606315176528,
                0.04356576330960872,
                -0.2143853876530815,
                0.12019160498683437
              ],
              [
                -4.974234334533167,
                -0.13313670394420948,
                0.009581623767019404,
                0.054443550997246765
              ],
              [
                -5.0433458637131094,
                -0.13758256975851613,
                0.08098030665583934,
                0.0033631291789001233
              ],
              [
                -5.096584997636885,
                -0.40614249601026037,
                0.6760520213021678,
                -0.38480488457283923
              ],
              [
                -5.211480356917816,
                -0.16446341723764668,
                0.005154336979145455,
                0.0880477465137789
              ],
              [
                -5.2827416906625375,
                -0.18909782311138718,
                0.12130668794265655,
                0.010223550787822097
              ],
              [
                -5.340309275043446,
                -0.21763609475573523,
                0.17579524830758547,
                -0.029067798567874843
              ],
              [
                -5.411217920059471,
                -0.027143648850358526,
                -0.08946575370101108,
                0.042361894355872134
              ],
              [
                -5.485465428254969,
                -0.07912364675845544,
                0.015353662898204664,
                0.006868611308297471
              ],
              [
                -5.542366800806923,
                -0.016513019096409048,
                0.014414378417415781,
                0.0001687970038297612
              ]
            ],
            "knots": [
              0.5412023463587368,
              0.5433482076108198,
              0.5469246299461163,
              0.5490704833472944,
              0.552646905682591,
              0.554792759083769,
              0.5583691814190657,
              0.5605150348202436,
              0.5640914571555402,
              0.5662373105567182,
              0.5698137328920148,
              0.5733901552273114,
              0.5755360086284894,
              0.5776818620296674,
              0.5812582843649641,
              0.5848347067002606,
              0.586980559900143
            ],
            "max_abs_error": 0.04525630841526862
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              -692.542294743809,
              -14.98379853335933,
              -0.9006890477425493,
              0.8448700179232453
            ],
            [
              -707.5819123069871,
              -15.350508211442516,
              3.5924886914810497,
              -0.9037129327964077
            ],
            [
              -720.2436447597454,
              -11.278615587329694,
              2.2423488297894902,
              -0.6004838907408168
            ],
            [
              -729.8803954080263,
              -9.97468667240202,
              6.399954475374258,
              -2.9845008928239594
            ],
            [
              -736.4396284978782,
              -3.0393767366916937,
              -2.46313267804177,
              3.1808216523313284
            ],
            [
              -738.7613162602802,
              0.760435290697343,
              2.86809510401383,
              -1.1860544617780961
            ],
            [
              -736.3188403273471,
              9.078928140588571,
              -3.256422504865501,
              3.9962326207031005
            ],
            [
              -726.500102070921,
              14.553074409337627,
              5.848820926648877,
              0.5862872652068845
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.5412023463587368,
            0.5469246299461163,
            0.552646905682591,
            0.5583691814190657,
            0.5640914571555402,
            0.5698137328920148,
            0.5755360086284894,
            0.5812582843649641,
            0.586980559900143
          ],
          "max_abs_error": 0.5417110594117958,
          "phase": "AL12MG17_A12",
          "x_hi": 0.586980559900143,
          "x_lo": 0.5412023463587368
        },
        {
          "enthalpy": {
            "intercept": -5758.399508735119,
            "slope": 5792.109274098354
          },
          "entropy": {
            "intercept": 0.039674008315677516,
            "slope": 0.0898244808152965
          },
          "intercept": -5770.228314314449,
          "kind": "two_phase",
          "left": {
            "phase": "AL12MG17_A12",
            "x": 0.586980559900143
          },
          "mu_a_rel": -5770.228314314449,
          "mu_b_rel": -4.9002091711663525,
          "right": {
            "phase": "HCP_A3",
            "x": 0.9980124837366229
          },
          "slope": 5765.328105143282,
          "x_hi": 0.9980124837366229,
          "x_lo": 0.586980559900143
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                22.19785398170727,
                -22.162405424050945,
                -0.03647430388711115,
                0.0010257462307876608
              ]
            ],
            "knots": [
              0.9980124837366229,
              1.0
            ],
            "max_abs_error": 0.00015084896648254187
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                0.01001058906126813,
                -0.009997885405890248,
                -2.9458332130642e-05,
                1.6754676752760503e-05
              ]
            ],
            "knots": [
              0.9980124837366229,
              1.0
            ],
            "max_abs_error": 2.4128102511463724e-06
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              19.21319685308886,
              -19.18153589000714,
              -0.02769130261000541,
              -0.00396966047171432
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.9980124837366229,
            1.0
          ],
          "max_abs_error": 0.0005685304468530106,
          "phase": "HCP_A3",
          "x_hi": 1.0,
          "x_lo": 0.9980124837366229
        }
      ],
      "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": -35.22393263535923,
          "energy_per_atom": -35.22393263535923,
          "enthalpy": 41.782162901005336,
          "entries_at_x": 1,
          "entropy": 0.2582797099995524,
          "formula": "",
          "nsites": null,
          "phase": "FCC_A1",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.004593735354532255
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -2019.6720046113624,
          "energy_per_atom": -2019.6720046113624,
          "enthalpy": -1451.1000099271837,
          "entries_at_x": 1,
          "entropy": 1.9069998144698026,
          "formula": "",
          "nsites": null,
          "phase": "AL8MG5_BETA",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.38461538461538464
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -2402.39809867288,
          "energy_per_atom": -2402.39809867288,
          "enthalpy": -2049.839413413815,
          "entries_at_x": 1,
          "entropy": 1.1824876245482479,
          "formula": "",
          "nsites": null,
          "phase": "AL12MG17_A12",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.5412023463587368
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -2386.092795149414,
          "energy_per_atom": -2386.092795149414,
          "enthalpy": -2358.543964022056,
          "entries_at_x": 1,
          "entropy": 0.0923992323573799,
          "formula": "",
          "nsites": null,
          "phase": "AL12MG17_A12",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.586980559900143
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -16.358892543843467,
          "energy_per_atom": -16.358892543843467,
          "enthalpy": 22.19785398170727,
          "entries_at_x": 1,
          "entropy": 0.1293199615145042,
          "formula": "",
          "nsites": null,
          "phase": "HCP_A3",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.9980124837366229
        },
        {
          "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": "AlMg-93Zuo",
    "builder_version": 1,
    "engine": {
      "numpy": "2.5.1",
      "pycalphad": "0.11.2",
      "python": "3.13.15"
    },
    "fit_tol": 1.0,
    "observed_at": "2026-09-03T00:11:34Z",
    "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/AlMg-93Zuo.tdb",
    "source_sha256": "bb08b378110909d0482ce0c97063c73f9fb595a747719c6a866c7067e156c591"
  },
  "reference": {
    "kind": "calphad_formation_T",
    "per": "mole_atoms",
    "temperature_K": 298.15,
    "units": "J/mol-atoms"
  },
  "schema_version": 1,
  "system_id": "AL-MG",
  "x_element": "MG"
}
