{
  "counts": {
    "above_hull": 0,
    "entries": 7,
    "intervals": 6,
    "vertices": 7
  },
  "elements": [
    "MG",
    "ND"
  ],
  "flags": [
    "has_intermediate_phases",
    "redundant_phase_descriptions",
    "solution_phases"
  ],
  "isotherms": [
    {
      "element_reference": {
        "MG": {
          "energy": -9740.85848842941,
          "phase": "HCP_A3"
        },
        "ND": {
          "energy": -21194.350824939134,
          "phase": "DHCP"
        }
      },
      "intervals": [
        {
          "enthalpy": {
            "intercept": 0.0,
            "slope": -157354.0398844162
          },
          "entropy": {
            "intercept": 0.0,
            "slope": -120.57796192552645
          },
          "intercept": 0.0,
          "kind": "two_phase",
          "left": {
            "phase": "HCP_A3",
            "x": 0.0
          },
          "mu_a_rel": 0.0,
          "mu_b_rel": -121403.72053632044,
          "right": {
            "phase": "MG41M5",
            "x": 0.10869565217391304
          },
          "slope": -121403.72053632044,
          "x_hi": 0.10869565217391304,
          "x_lo": 0.0
        },
        {
          "enthalpy": {
            "intercept": -15056.469219069233,
            "slope": -18834.52306897925
          },
          "entropy": {
            "intercept": -17.37415406560286,
            "slope": 39.26425547801987
          },
          "intercept": -9876.365184409728,
          "kind": "two_phase",
          "left": {
            "phase": "MG41M5",
            "x": 0.10869565217391304
          },
          "mu_a_rel": -9876.365184409728,
          "mu_b_rel": -40417.526024160674,
          "right": {
            "phase": "MG3M_D03",
            "x": 0.25
          },
          "slope": -30541.160839750944,
          "x_hi": 0.25,
          "x_lo": 0.10869565217391304
        },
        {
          "enthalpy": {
            "intercept": -23869.41397311315,
            "slope": 16417.255947196416
          },
          "entropy": {
            "intercept": -11.223296501275339,
            "slope": 14.660825220709784
          },
          "intercept": -20523.188121257925,
          "kind": "two_phase",
          "left": {
            "phase": "MG3M_D03",
            "x": 0.25
          },
          "mu_a_rel": -20523.188121257925,
          "mu_b_rel": -8477.057213616086,
          "right": {
            "phase": "B2_BCC",
            "x": 0.5000391856992302
          },
          "slope": 12046.130907641838,
          "x_hi": 0.5000391856992302,
          "x_lo": 0.25
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                -15660.14267786121,
                1419.274669104877,
                34.89574926150067,
                -0.3396436961591007
              ]
            ],
            "knots": [
              0.5000391856992302,
              0.5460089085809352
            ],
            "max_abs_error": 0.010874787203647429
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                -9.65545569234283,
                0.1451554308313639,
                -0.06431356177451954,
                0.020905514200927025
              ],
              [
                -9.553708309085057,
                0.07965338116543161,
                -0.009398363546325506,
                0.0013582722530900426
              ],
              [
                -9.482095019212858,
                0.12995719836250222,
                -0.018698757903995986,
                0.0034693858984108233
              ],
              [
                -9.36736719285594,
                0.10297949939098715,
                -0.008575623093502849,
                0.0011978730987183828
              ],
              [
                -9.271765443459739,
                0.08942534465517755,
                -0.004932176356186493,
                0.0005989078577195578
              ],
              [
                -9.186673367303024,
                0.08135916825305006,
                -0.0030793910974823008,
                0.0003555052218112281
              ],
              [
                -9.10803808492565,
                0.07626764542995046,
                -0.00196985499456942,
                0.0002329775944460155
              ],
              [
                -9.033507316895822,
                0.07302729845302751,
                -0.001238908479176265,
                0.00016273259605900647
              ],
              [
                -8.961556194325913,
                0.07103812289853803,
                -0.0007266197841482025,
                0.00011876480074810014
              ]
            ],
            "knots": [
              0.5000391856992302,
              0.5029123062813432,
              0.505785412169126,
              0.5115316239446915,
              0.5172778357202571,
              0.5230240474958225,
              0.5287702592713881,
              0.5345164710469537,
              0.5402626828225192,
              0.5460089085809352
            ],
            "max_abs_error": 0.000785476356620407
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              -12781.36856318919,
              45.42697345471874,
              19.310746273138747,
              -6.232981038632815
            ],
            [
              -12722.863824499971,
              65.22721040001012,
              2.9377666886168754,
              -0.40498336459427264
            ],
            [
              -12655.103830775935,
              139.7474388858372,
              6.117355424398909,
              -1.0346161456083678
            ],
            [
              -12510.273652611311,
              148.87483959291998,
              3.0984162808532574,
              -0.3575286722485771
            ],
            [
              -12358.657925409778,
              153.99806841191753,
              2.010901672158667,
              -0.1791052042978265
            ],
            [
              -12202.828060529999,
              157.48212401653151,
              1.4567469976183816,
              -0.10669575618629779
            ],
            [
              -12043.995885272037,
              160.07531001369165,
              1.1236767056408326,
              -0.07032519211600174
            ],
            [
              -11882.867223744825,
              162.11156058253755,
              0.9029675453503501,
              -0.049542693953355865
            ],
            [
              -11719.902238310886,
              163.76918638921094,
              0.7469384415097977,
              -0.0365947514518723
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.5000391856992302,
            0.5029123062813432,
            0.505785412169126,
            0.5115316239446915,
            0.5172778357202571,
            0.5230240474958225,
            0.5287702592713881,
            0.5345164710469537,
            0.5402626828225192,
            0.5460089085809352
          ],
          "max_abs_error": 0.23419459502656537,
          "phase": "B2_BCC",
          "x_hi": 0.5460089085809352,
          "x_lo": 0.5000391856992302
        },
        {
          "enthalpy": {
            "intercept": -31333.032132076994,
            "slope": 31367.10767851381
          },
          "entropy": {
            "intercept": -7.134657771860051,
            "slope": 7.2735587722800314
          },
          "intercept": -29205.83391739691,
          "kind": "two_phase",
          "left": {
            "phase": "B2_BCC",
            "x": 0.5460089085809352
          },
          "mu_a_rel": -29205.83391739691,
          "mu_b_rel": -7.337786838405009,
          "right": {
            "phase": "DHCP",
            "x": 0.9971108983737108
          },
          "slope": 29198.496130558506,
          "x_hi": 0.9971108983737108,
          "x_lo": 0.5460089085809352
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                -56.54721536916481,
                56.341535475147346,
                0.20752637167735344,
                -0.0018464776598818844
              ]
            ],
            "knots": [
              0.9971108983737108,
              1.0
            ],
            "max_abs_error": 0.0002648937913320992
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                -0.04654777405204527,
                0.04641288348670431,
                0.0001234586654151118,
                1.1431899925848366e-05
              ]
            ],
            "knots": [
              0.9971108983737108,
              1.0
            ],
            "max_abs_error": 1.653383518155499e-06
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              -42.66899653555189,
              42.50353426402023,
              0.1707171699977792,
              -0.005254898466112934
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.9971108983737108,
            1.0
          ],
          "max_abs_error": 0.0007578501578766605,
          "phase": "DHCP",
          "x_hi": 1.0,
          "x_lo": 0.9971108983737108
        }
      ],
      "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",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.0
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -13196.05658003483,
          "energy_per_atom": -13196.05658003483,
          "enthalpy": -17103.699987436543,
          "entries_at_x": 1,
          "entropy": -13.106300209296354,
          "formula": "",
          "nsites": null,
          "phase": "MG41M5",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.10869565217391304
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -17511.655394347465,
          "energy_per_atom": -17511.655394347465,
          "enthalpy": -19765.099986314046,
          "entries_at_x": 1,
          "entropy": -7.5580901960978935,
          "formula": "",
          "nsites": null,
          "phase": "MG3M_D03",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.25
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -14499.65063137437,
          "energy_per_atom": -14499.65063137437,
          "enthalpy": -15660.14267786121,
          "entries_at_x": 1,
          "entropy": -3.892309396232882,
          "formula": "",
          "nsites": null,
          "phase": "B2_BCC",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.5000391856992302
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -13263.194912946,
          "energy_per_atom": -13263.194912946,
          "enthalpy": -14206.311903190994,
          "entries_at_x": 1,
          "entropy": -3.1632298851081444,
          "formula": "",
          "nsites": null,
          "phase": "B2_BCC",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.5460089085809352
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -91.69520949439902,
          "energy_per_atom": -91.69520949439902,
          "enthalpy": -56.54721536916481,
          "entries_at_x": 1,
          "entropy": 0.1178869499420756,
          "formula": "",
          "nsites": null,
          "phase": "DHCP",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.9971108983737108
        },
        {
          "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": "DHCP",
          "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": "MgNd-07Men",
    "builder_version": 1,
    "engine": {
      "numpy": "2.5.1",
      "pycalphad": "0.11.2",
      "python": "3.13.15"
    },
    "fit_tol": 1.0,
    "observed_at": "2026-09-03T00:47:22Z",
    "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/MgNd-07Men.tdb",
    "source_sha256": "e6ae632117b973961202a6cbb00a9b945311212dcdb2486535a6d673b2ccb6af"
  },
  "reference": {
    "kind": "calphad_formation_T",
    "per": "mole_atoms",
    "temperature_K": 298.15,
    "units": "J/mol-atoms"
  },
  "schema_version": 1,
  "system_id": "MG-ND",
  "x_element": "ND"
}
