{
  "counts": {
    "above_hull": 0,
    "entries": 8,
    "intervals": 7,
    "vertices": 8
  },
  "elements": [
    "MG",
    "ND"
  ],
  "flags": [
    "has_intermediate_phases",
    "solution_phases"
  ],
  "isotherms": [
    {
      "element_reference": {
        "MG": {
          "energy": -9740.859138034899,
          "phase": "HCP_A3"
        },
        "ND": {
          "energy": -21194.351275317724,
          "phase": "DHCP"
        }
      },
      "intervals": [
        {
          "enthalpy": {
            "intercept": 0.0,
            "slope": -67233.17435599139
          },
          "entropy": {
            "intercept": 0.0,
            "slope": -20.182382759733393
          },
          "intercept": 0.0,
          "kind": "two_phase",
          "left": {
            "phase": "HCP_A3",
            "x": 0.0
          },
          "mu_a_rel": 0.0,
          "mu_b_rel": -61215.79693617684,
          "right": {
            "phase": "MG41M5",
            "x": 0.10869565217391304
          },
          "slope": -61215.79693617684,
          "x_hi": 0.10869565217391304,
          "x_lo": 0.0
        },
        {
          "enthalpy": {
            "intercept": -2066.4129196009,
            "slope": -48222.175495663105
          },
          "entropy": {
            "intercept": -1.4944759739372904,
            "slope": -6.433203799510322
          },
          "intercept": -1620.8349079714908,
          "kind": "two_phase",
          "left": {
            "phase": "MG41M5",
            "x": 0.10869565217391304
          },
          "mu_a_rel": -1620.8349079714908,
          "mu_b_rel": -47924.95069081062,
          "right": {
            "phase": "MG3M_D03",
            "x": 0.24995120469207815
          },
          "slope": -46304.11578283913,
          "x_hi": 0.24995120469207815,
          "x_lo": 0.10869565217391304
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                -14119.603777614704,
                -3.5956397491090613,
                -4.381508825890279e-05,
                -1.8933105705443154e-06
              ]
            ],
            "knots": [
              0.24995120469207815,
              0.24999999999973022
            ],
            "max_abs_error": 2.7163696358911693e-07
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                -7.777531785232091,
                -0.004927477275142374,
                0.0011635156087827676,
                -0.001569244766038886
              ]
            ],
            "knots": [
              0.24995120469207815,
              0.24999999999973022
            ],
            "max_abs_error": 0.00017574407858589325
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              -11800.732675847757,
              -2.126512399271609,
              -0.3469459941888158,
              0.46786843377131615
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.24995120469207815,
            0.24999999999973022
          ],
          "max_abs_error": 0.05239782748867583,
          "phase": "MG3M_D03",
          "x_hi": 0.24999999999973022,
          "x_lo": 0.24995120469207815
        },
        {
          "enthalpy": {
            "intercept": -14302.811049187383,
            "slope": 718.4463444614607
          },
          "entropy": {
            "intercept": -3.0156786001925657,
            "slope": -0.3666874106704331
          },
          "intercept": -13403.686474539973,
          "kind": "two_phase",
          "left": {
            "phase": "MG3M_D03",
            "x": 0.24999999999973022
          },
          "mu_a_rel": -13403.686474539973,
          "mu_b_rel": -12575.912278587126,
          "right": {
            "phase": "B2_BCC",
            "x": 0.4999773489719303
          },
          "slope": 827.7741959528464,
          "x_hi": 0.4999773489719303,
          "x_lo": 0.24999999999973022
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                -13943.604150504967,
                -0.49789215145199245,
                -4.5099794194924936e-05,
                9.096889814486087e-06
              ]
            ],
            "knots": [
              0.4999773489719303,
              0.4999999991015236
            ],
            "max_abs_error": 1.3052340364083648e-06
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                -8.962160312793142,
                -0.0017328249295405465,
                0.0005324503872320314,
                -0.000720705443493997
              ]
            ],
            "knots": [
              0.4999773489719303,
              0.4999999991015236
            ],
            "max_abs_error": 8.047354876161705e-05
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              -11271.536053245698,
              0.018749601323399596,
              -0.15879518229669132,
              0.21488742438488928
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.4999773489719303,
            0.4999999991015236
          ],
          "max_abs_error": 0.02399448343567201,
          "phase": "B2_BCC",
          "x_hi": 0.4999999991015236,
          "x_lo": 0.4999773489719303
        },
        {
          "enthalpy": {
            "intercept": -27973.11900112097,
            "slope": 28058.033895342254
          },
          "entropy": {
            "intercept": -6.741633516761224,
            "slope": 7.081396903977455
          },
          "intercept": -25963.10096809862,
          "kind": "two_phase",
          "left": {
            "phase": "B2_BCC",
            "x": 0.4999999991015236
          },
          "mu_a_rel": -25963.10096809862,
          "mu_b_rel": -16.385559677233687,
          "right": {
            "phase": "DHCP",
            "x": 0.994529842654928
          },
          "slope": 25946.715408421387,
          "x_hi": 0.994529842654928,
          "x_lo": 0.4999999991015236
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                -68.56696597959868,
                65.6980612767218,
                2.868315360966079,
                0.0005893419107962927
              ]
            ],
            "knots": [
              0.994529842654928,
              1.0
            ],
            "max_abs_error": 0.0017616394360544518
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                0.018782635931156588,
                -0.019053802432563417,
                0.0001510587786684829,
                0.0001201077227383461
              ]
            ],
            "knots": [
              0.994529842654928,
              1.0
            ],
            "max_abs_error": 1.6961394134857796e-05
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              -74.16700888247367,
              71.37895247252125,
              2.823277184915341,
              -0.035220774962937185
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.994529842654928,
            1.0
          ],
          "max_abs_error": 0.006818679115035309,
          "phase": "DHCP",
          "x_hi": 1.0,
          "x_lo": 0.994529842654928
        }
      ],
      "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": -6653.89097132357,
          "energy_per_atom": -6653.89097132357,
          "enthalpy": -7307.953734346889,
          "entries_at_x": 1,
          "entropy": -2.19373725649276,
          "formula": "",
          "nsites": null,
          "phase": "MG41M5",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.10869565217391304
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -13194.604430093601,
          "energy_per_atom": -13194.604430093601,
          "enthalpy": -14119.603777614704,
          "entries_at_x": 1,
          "entropy": -3.1024630136545497,
          "formula": "",
          "nsites": null,
          "phase": "MG3M_D03",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.24995120469207815
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -13196.742925551984,
          "energy_per_atom": -13196.742925551984,
          "enthalpy": -14123.199463072211,
          "entries_at_x": 1,
          "entropy": -3.107350452860075,
          "formula": "",
          "nsites": null,
          "phase": "MG3M_D03",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.24999999999973022
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -12989.818126500097,
          "energy_per_atom": -12989.818126500097,
          "enthalpy": -13943.604150504967,
          "entries_at_x": 1,
          "entropy": -3.1990139996809503,
          "formula": "",
          "nsites": null,
          "phase": "B2_BCC",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.4999773489719303
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -12989.74328720044,
          "energy_per_atom": -12989.74328720044,
          "enthalpy": -13944.102078659324,
          "entries_at_x": 1,
          "entropy": -3.200935071134964,
          "formula": "",
          "nsites": null,
          "phase": "B2_BCC",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.4999999991015236
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -158.3181755491023,
          "energy_per_atom": -158.3181755491023,
          "enthalpy": -68.56696597959868,
          "entries_at_x": 1,
          "entropy": 0.3010270319285695,
          "formula": "",
          "nsites": null,
          "phase": "DHCP",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.994529842654928
        },
        {
          "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-10Niu",
    "builder_version": 1,
    "engine": {
      "numpy": "2.5.1",
      "pycalphad": "0.11.2",
      "python": "3.13.15"
    },
    "fit_tol": 1.0,
    "observed_at": "2026-09-03T00:47:20Z",
    "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/MgNd-10Niu.tdb",
    "source_sha256": "875ad4d46a8d6b2bc4c7144abe0ed13b9b2723dcea82aae5455bcf57be2048af"
  },
  "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"
}
