{
  "counts": {
    "above_hull": 0,
    "entries": 10,
    "intervals": 9,
    "vertices": 10
  },
  "elements": [
    "MG",
    "PR"
  ],
  "flags": [
    "has_intermediate_phases",
    "solution_phases"
  ],
  "isotherms": [
    {
      "element_reference": {
        "MG": {
          "energy": -9740.858484453727,
          "phase": "HCP_A3"
        },
        "PR": {
          "energy": -22042.617057814517,
          "phase": "DHCP"
        }
      },
      "intervals": [
        {
          "enthalpy": {
            "intercept": 0.0,
            "slope": -62312.29989342092
          },
          "entropy": {
            "intercept": 0.0,
            "slope": -11.282102794772904
          },
          "intercept": 0.0,
          "kind": "two_phase",
          "left": {
            "phase": "HCP_A3",
            "x": 0.0
          },
          "mu_a_rel": 0.0,
          "mu_b_rel": -58948.54094515926,
          "right": {
            "phase": "MG12PR_D2B",
            "x": 0.07692307692307693
          },
          "slope": -58948.54094515926,
          "x_hi": 0.07692307692307693,
          "x_lo": 0.0
        },
        {
          "enthalpy": {
            "intercept": -114.8986663446558,
            "slope": -60818.61723094039
          },
          "entropy": {
            "intercept": 0.1607906809201587,
            "slope": -13.372381646734965
          },
          "intercept": -162.83840786099154,
          "kind": "two_phase",
          "left": {
            "phase": "MG12PR_D2B",
            "x": 0.07692307692307693
          },
          "mu_a_rel": -162.83840786099154,
          "mu_b_rel": -56994.480050827355,
          "right": {
            "phase": "MG41PR5",
            "x": 0.10869412328734676
          },
          "slope": -56831.641642966366,
          "x_hi": 0.10869412328734676,
          "x_lo": 0.07692307692307693
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                -6725.524945810443,
                -0.10733184763974217,
                -1.2767681434322498e-06,
                1.736041139954736e-06
              ]
            ],
            "knots": [
              0.10869412328734676,
              0.1086953502731642
            ],
            "max_abs_error": 1.538210199214518e-07
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                -4.1510242041572765,
                -0.00014757720695724445,
                -1.858203220611815e-06,
                -4.270633550812247e-06
              ]
            ],
            "knots": [
              0.10869412328734676,
              0.1086953502731642
            ],
            "max_abs_error": 2.0351513985161773e-07
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              -5487.897079340942,
              -0.06333170384458535,
              0.0005527472563267161,
              0.001275025157563045
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.10869412328734676,
            0.1086953502731642
          ],
          "max_abs_error": 6.083097650844138e-05,
          "phase": "MG41PR5",
          "x_hi": 0.1086953502731642,
          "x_lo": 0.10869412328734676
        },
        {
          "enthalpy": {
            "intercept": -635.2844447184389,
            "slope": -56031.35568517521
          },
          "entropy": {
            "intercept": -0.11853950339539021,
            "slope": -10.803602474554602
          },
          "intercept": -599.9418917810881,
          "kind": "two_phase",
          "left": {
            "phase": "MG41PR5",
            "x": 0.1086953502731642
          },
          "mu_a_rel": -599.9418917810881,
          "mu_b_rel": -53410.203499167896,
          "right": {
            "phase": "MG3PR_D03",
            "x": 0.24999856472250906
          },
          "slope": -52810.261607386805,
          "x_hi": 0.24999856472250906,
          "x_lo": 0.1086953502731642
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                -14643.042945468638,
                -0.13204332265364727,
                -2.3367075033253748e-07,
                -8.01303876307724e-08
              ]
            ],
            "knots": [
              0.24999856472250906,
              0.249999999999995
            ],
            "max_abs_error": 1.165062712971121e-08
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                -7.494926044270978,
                -0.00020175921665301343,
                4.4457385810609126e-05,
                -5.639217071141137e-05
              ]
            ],
            "knots": [
              0.24999856472250906,
              0.249999999999995
            ],
            "max_abs_error": 6.674429164910123e-06
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              -12408.430745369244,
              -0.07188881220590673,
              -0.013255203028908313,
              0.01681324534621703
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.24999856472250906,
            0.249999999999995
          ],
          "max_abs_error": 0.0019899694561900105,
          "phase": "MG3PR_D03",
          "x_hi": 0.249999999999995,
          "x_lo": 0.24999856472250906
        },
        {
          "enthalpy": {
            "intercept": -13406.503901295495,
            "slope": -4946.684351238489
          },
          "entropy": {
            "intercept": -2.4720464153105732,
            "slope": -1.3903151366205257
          },
          "intercept": -12669.463262570647,
          "kind": "two_phase",
          "left": {
            "phase": "MG3PR_D03",
            "x": 0.249999999999995
          },
          "mu_a_rel": -12669.463262570647,
          "mu_b_rel": -17201.62515582571,
          "right": {
            "phase": "MGPR_B2",
            "x": 0.49991045904142895
          },
          "slope": -4532.161893255063,
          "x_hi": 0.49991045904142895,
          "x_lo": 0.249999999999995
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                -15879.403146056182,
                -1.8828932261052422,
                0.00022348636654911935,
                9.916374377083592e-05
              ],
              [
                -15881.285716632177,
                -1.8825753108841268,
                8.471746521678016,
                -3.658702910000885
              ]
            ],
            "knots": [
              0.49991045904142895,
              0.4999854819625459,
              0.50006052154313
            ],
            "max_abs_error": 0.2728362006982934
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                -8.930225681790972,
                -0.010350972833120012,
                0.00405276283464771,
                0.00488140901940683
              ]
            ],
            "knots": [
              0.49991045904142895,
              0.50006052154313
            ],
            "max_abs_error": 0.0031679156697421718
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              -13216.856359030195,
              -0.680062014807527,
              1.2990599248542685,
              0.851319026661181
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.49991045904142895,
            0.50006052154313
          ],
          "max_abs_error": 0.4206945724963589,
          "phase": "MGPR_B2",
          "x_hi": 0.50006052154313,
          "x_lo": 0.49991045904142895
        },
        {
          "enthalpy": {
            "intercept": -31869.275554944667,
            "slope": 31977.969901057415
          },
          "entropy": {
            "intercept": -6.8209143862835155,
            "slope": 7.303952235575668
          },
          "intercept": -29835.619930674227,
          "kind": "two_phase",
          "left": {
            "phase": "MGPR_B2",
            "x": 0.50006052154313
          },
          "mu_a_rel": -29835.619930674227,
          "mu_b_rel": -35.32338865370548,
          "right": {
            "phase": "DHCP",
            "x": 0.9899026191714733
          },
          "slope": 29800.296542020522,
          "x_hi": 0.9899026191714733,
          "x_lo": 0.50006052154313
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                -214.1993941013939,
                200.5220710401793,
                13.565482145635428,
                0.11184091557919373
              ]
            ],
            "knots": [
              0.9899026191714733,
              1.0
            ],
            "max_abs_error": 0.0003084078789470368
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                -0.06005215981734968,
                0.048272521072698776,
                0.011654863945883734,
                0.00012477479876717157
              ]
            ],
            "knots": [
              0.9899026191714733,
              1.0
            ],
            "max_abs_error": 1.6173959968140972e-06
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              -196.29484265184664,
              186.1296188816142,
              10.090584461487254,
              0.0746393087451338
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.9899026191714733,
            1.0
          ],
          "max_abs_error": 0.0007906344135193422,
          "phase": "DHCP",
          "x_hi": 1.0,
          "x_lo": 0.9899026191714733
        }
      ],
      "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": -4534.503149627635,
          "energy_per_atom": -4534.503149627635,
          "enthalpy": -4793.253837955455,
          "entries_at_x": 1,
          "entropy": -0.8678540611363772,
          "formula": "",
          "nsites": null,
          "phase": "MG12PR_D2B",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.07692307692307693
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -6340.103871223888,
          "energy_per_atom": -6340.103871223888,
          "enthalpy": -6725.524945810443,
          "entries_at_x": 1,
          "entropy": -1.2927086184355048,
          "formula": "",
          "nsites": null,
          "phase": "MG41PR5",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.10869412328734676
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -6340.171775213432,
          "energy_per_atom": -6340.171775213432,
          "enthalpy": -6725.632277198808,
          "entries_at_x": 1,
          "entropy": -1.292840858579126,
          "formula": "",
          "nsites": null,
          "phase": "MG41PR5",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.1086953502731642
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -13802.431496248013,
          "energy_per_atom": -13802.431496248013,
          "enthalpy": -14643.042945468638,
          "entries_at_x": 1,
          "entropy": -2.8194246158665877,
          "formula": "",
          "nsites": null,
          "phase": "MG3PR_D03",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.24999856472250906
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -13802.503735884391,
          "energy_per_atom": -13802.503735884391,
          "enthalpy": -14643.174989105093,
          "entries_at_x": 1,
          "entropy": -2.8196251994656976,
          "formula": "",
          "nsites": null,
          "phase": "MG3PR_D03",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.249999999999995
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -14935.138395077858,
          "energy_per_atom": -14935.138395077858,
          "enthalpy": -15879.403146056182,
          "entries_at_x": 1,
          "entropy": -3.167079493470787,
          "formula": "",
          "nsites": null,
          "phase": "MGPR_B2",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.49991045904142895
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -14933.66809973151,
          "energy_per_atom": -14933.66809973151,
          "enthalpy": -15878.355248331383,
          "entries_at_x": 1,
          "entropy": -3.1684962220354365,
          "formula": "",
          "nsites": null,
          "phase": "MGPR_B2",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.50006052154313
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -336.22833164151234,
          "energy_per_atom": -336.22833164151234,
          "enthalpy": -214.1993941013939,
          "entries_at_x": 1,
          "entropy": 0.40928706201617615,
          "formula": "",
          "nsites": null,
          "phase": "DHCP",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.9899026191714733
        },
        {
          "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": "MgPr-05Guo",
    "builder_version": 1,
    "engine": {
      "numpy": "2.5.1",
      "pycalphad": "0.11.2",
      "python": "3.13.15"
    },
    "fit_tol": 1.0,
    "observed_at": "2026-09-03T00:47:34Z",
    "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/MgPr-05Guo.tdb",
    "source_sha256": "663c0d9edf4eb1066ea9fb5e1acb1dd97e3ec01a827790b973ad0b2f3c23edce"
  },
  "reference": {
    "kind": "calphad_formation_T",
    "per": "mole_atoms",
    "temperature_K": 298.15,
    "units": "J/mol-atoms"
  },
  "schema_version": 1,
  "system_id": "MG-PR",
  "x_element": "PR"
}
