{
  "counts": {
    "above_hull": 0,
    "entries": 13,
    "intervals": 12,
    "vertices": 13
  },
  "elements": [
    "MN",
    "ZN"
  ],
  "flags": [
    "has_intermediate_phases",
    "solution_phases"
  ],
  "isotherms": [
    {
      "element_reference": {
        "MN": {
          "energy": -9606.56438339014,
          "phase": "CBCC_A12"
        },
        "ZN": {
          "energy": -12411.984229932199,
          "phase": "HCP_A3"
        }
      },
      "intervals": [
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                0.0,
                6.008728304488795,
                0.000747617149412072,
                -0.0014100001324992562
              ]
            ],
            "knots": [
              0.0,
              0.00040063259745471916
            ],
            "max_abs_error": 0.0002022769725025242
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                0.0,
                -1.621345155635453e-05,
                3.577956301528793e-05,
                -1.780332943368439e-05
              ]
            ],
            "knots": [
              0.0,
              0.00040063259745471916
            ],
            "max_abs_error": 2.555898431452581e-06
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              0.0,
              6.0135623448458215,
              -0.009920059091603761,
              0.003898062295206728
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.0,
            0.00040063259745471916
          ],
          "max_abs_error": 0.0005597641145969057,
          "phase": "CBCC_A12",
          "x_hi": 0.00040063259745471916,
          "x_lo": 0.0
        },
        {
          "enthalpy": {
            "intercept": 7.590410548389887,
            "slope": -3949.6152757839955
          },
          "entropy": {
            "intercept": 0.028782950209601883,
            "slope": 1.5130409843537815
          },
          "intercept": -0.9912260565983664,
          "kind": "two_phase",
          "left": {
            "phase": "CBCC_A12",
            "x": 0.00040063259745471916
          },
          "mu_a_rel": -0.9912260565983664,
          "mu_b_rel": -4401.719671325677,
          "right": {
            "phase": "MNZN_B2",
            "x": 0.5
          },
          "slope": -4400.728445269079,
          "x_hi": 0.5,
          "x_lo": 0.00040063259745471916
        },
        {
          "enthalpy": {
            "intercept": -228.62239548976277,
            "slope": -3477.18966370769
          },
          "entropy": {
            "intercept": -0.2692742388692906,
            "slope": 2.1091553625115664
          },
          "intercept": -148.33828117086978,
          "kind": "two_phase",
          "left": {
            "phase": "MNZN_B2",
            "x": 0.5
          },
          "mu_a_rel": -148.33828117086978,
          "mu_b_rel": -4254.372616211406,
          "right": {
            "phase": "MNZN3_L12",
            "x": 0.7477237204021279
          },
          "slope": -4106.0343350405365,
          "x_hi": 0.7477237204021279,
          "x_lo": 0.5
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                -2828.5995873811007,
                -15.145704206486203,
                0.1351533653512078,
                0.15280224696406464
              ],
              [
                -2843.4573359752717,
                -14.417487766824852,
                0.15152259999538842,
                1.2164529322064652
              ],
              [
                -2856.506848209894,
                -10.47016526792364,
                7.041393145598078,
                1.43434907411637
              ],
              [
                -2858.501271258103,
                7.913669870220919,
                6.208144544439486,
                -2.0349853155215474
              ]
            ],
            "knots": [
              0.7477237204021279,
              0.7485951639847264,
              0.7494666055857714,
              0.7503380471868164,
              0.7512094744018949
            ],
            "max_abs_error": 0.21361412274654867
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                -3.3884010136720315,
                -0.06184790812397429,
                -0.0115141969709903,
                0.012159363504160227
              ],
              [
                -3.449603755262838,
                -0.0484310710643295,
                0.12474383421773716,
                -0.03889459148240082
              ]
            ],
            "knots": [
              0.7477237204021279,
              0.7494666055857714,
              0.7512094744018949
            ],
            "max_abs_error": 0.0032172316002960777
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              -1818.3478251547876,
              -23.702729035175384,
              8.646003954900157,
              4.333239823999515
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.7477237204021279,
            0.7512094744018949
          ],
          "max_abs_error": 0.5782726570660088,
          "phase": "MNZN3_L12",
          "x_hi": 0.7512094744018949,
          "x_lo": 0.7477237204021279
        },
        {
          "enthalpy": {
            "intercept": -10284.817867013544,
            "slope": 9901.903102030174
          },
          "entropy": {
            "intercept": -12.03465146376656,
            "slope": 17.687343697630567
          },
          "intercept": -6696.6865330915825,
          "kind": "two_phase",
          "left": {
            "phase": "MNZN3_L12",
            "x": 0.7512094744018949
          },
          "mu_a_rel": -6696.6865330915825,
          "mu_b_rel": -2068.2649545099157,
          "right": {
            "phase": "MN5ZN21_D82",
            "x": 0.8035951631495595
          },
          "slope": 4628.421578581667,
          "x_hi": 0.8035951631495595,
          "x_lo": 0.7512094744018949
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                -2327.6964282464774,
                36.63612503774739,
                84.33245637808355,
                -0.011292635098612891
              ]
            ],
            "knots": [
              0.8035951631495595,
              0.8295852875523276
            ],
            "max_abs_error": 0.0005691272281183046
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                -1.9399886058144027,
                0.02387720345543066,
                -0.051629781206000314,
                -0.030290199057740164
              ]
            ],
            "knots": [
              0.8035951631495595,
              0.8295852875523276
            ],
            "max_abs_error": 0.0009057158300502799
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              -1749.2888254229135,
              29.51713682731567,
              99.7258756456581,
              9.019730213151888
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.8035951631495595,
            0.8295852875523276
          ],
          "max_abs_error": 0.27058879461674223,
          "phase": "MN5ZN21_D82",
          "x_hi": 0.8295852875523276,
          "x_lo": 0.8035951631495595
        },
        {
          "enthalpy": {
            "intercept": -12755.690934453247,
            "slope": 12715.934037489915
          },
          "entropy": {
            "intercept": 4.744307664812662,
            "slope": -3.5516876446901584
          },
          "intercept": -14170.20626471723,
          "kind": "two_phase",
          "left": {
            "phase": "MN5ZN21_D82",
            "x": 0.8295852875523276
          },
          "mu_a_rel": -14170.20626471723,
          "mu_b_rel": -395.3365559628437,
          "right": {
            "phase": "MNZN9_LT",
            "x": 0.8969807261421939
          },
          "slope": 13774.869708754386,
          "x_hi": 0.8969807261421939,
          "x_lo": 0.8295852875523276
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                -1349.743187929303,
                31.242531524744273,
                1.3585889200363255,
                -4.190781055513071e-11
              ]
            ],
            "knots": [
              0.8969807261421939,
              0.899435039704306
            ],
            "max_abs_error": 6.571099220309407e-11
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                -1.1991188901240135,
                0.03555752797539065,
                -0.00041472825622296955,
                -7.624053202141823e-06
              ]
            ],
            "knots": [
              0.8969807261421939,
              0.899435039704306
            ],
            "max_abs_error": 1.7783315042763093e-08
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              -992.2258908388258,
              20.64105455879354,
              1.482240149735368,
              0.002273111404541339
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.8969807261421939,
            0.899435039704306
          ],
          "max_abs_error": 5.302051704347832e-06,
          "phase": "MNZN9_LT",
          "x_hi": 0.899435039704306,
          "x_lo": 0.8969807261421939
        },
        {
          "enthalpy": {
            "intercept": -2157.0883110883074,
            "slope": 933.85981924818
          },
          "entropy": {
            "intercept": 44.139869619981205,
            "slope": -47.35267676863423
          },
          "intercept": -15317.390438285584,
          "kind": "two_phase",
          "left": {
            "phase": "MNZN9_LT",
            "x": 0.899435039704306
          },
          "mu_a_rel": -15317.390438285584,
          "mu_b_rel": -265.3300404692345,
          "right": {
            "phase": "MNZN13",
            "x": 0.9217953425080226
          },
          "slope": 15052.060397816349,
          "x_hi": 0.9217953425080226,
          "x_lo": 0.899435039704306
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                -1296.2606791499513,
                0.7314664601748249,
                2.157812817316085e-10,
                -2.548895539078444e-10
              ]
            ],
            "knots": [
              0.9217953425080226,
              0.9222382828538185
            ],
            "max_abs_error": 4.6838977141305804e-11
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                -1.7907838139565695,
                -0.010822788252343259,
                -0.0009766478468118747,
                -0.0010265709447203272
              ]
            ],
            "knots": [
              0.9217953425080226,
              0.9222382828538185
            ],
            "max_abs_error": 3.889250357191898e-05
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              -762.3384850187975,
              3.958280777351021,
              0.29118755618936465,
              0.30607212672054285
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.9217953425080226,
            0.9222382828538185
          ],
          "max_abs_error": 0.011595799941119367,
          "phase": "MNZN13",
          "x_hi": 0.9222382828538185,
          "x_lo": 0.9217953425080226
        },
        {
          "enthalpy": {
            "intercept": -16661.419129970145,
            "slope": 16661.518181322273
          },
          "entropy": {
            "intercept": 6.020170028274317,
            "slope": -6.019810959558486
          },
          "intercept": -18456.332823900186,
          "kind": "two_phase",
          "left": {
            "phase": "MNZN13",
            "x": 0.9222382828538185
          },
          "mu_a_rel": -18456.332823900186,
          "mu_b_rel": -0.00800498549506301,
          "right": {
            "phase": "HCP_A3",
            "x": 0.9999967554043445
          },
          "slope": 18456.32481891469,
          "x_hi": 0.9999967554043445,
          "x_lo": 0.9222382828538185
        },
        {
          "enthalpy": {
            "entropy_form": null,
            "hermite": [
              [
                0.04499146262247665,
                -0.04500522572383757,
                -0.001263573462757836,
                0.0012773365641187695
              ]
            ],
            "knots": [
              0.9999967554043445,
              1.0
            ],
            "max_abs_error": 0.0001831070352145952
          },
          "entropy": {
            "entropy_form": {
              "R": 8.31446261815324,
              "kind": "ideal_mixing_entropy"
            },
            "hermite": [
              [
                1.0673317879708556e-05,
                -1.0847730229325942e-05,
                -1.589913678393849e-05,
                1.6073549133555874e-05
              ]
            ],
            "knots": [
              0.9999967554043445,
              1.0
            ],
            "max_abs_error": 2.304171774952311e-06
          },
          "entropy_form": {
            "RT": 2478.957029602388,
            "kind": "ideal_mixing"
          },
          "hermite": [
            [
              0.04180921289777319,
              -0.04177097540730364,
              0.0034767546920703024,
              -0.0035149921825398667
            ]
          ],
          "kind": "single_phase",
          "knots": [
            0.9999967554043445,
            1.0
          ],
          "max_abs_error": 0.0005038816898349525,
          "phase": "HCP_A3",
          "x_hi": 1.0,
          "x_lo": 0.9999967554043445
        }
      ],
      "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": "CBCC_A12",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.0
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -2.7543013243193855,
          "energy_per_atom": -2.7543013243193855,
          "enthalpy": 6.0080659215057075,
          "entries_at_x": 1,
          "entropy": 0.02938912374921898,
          "formula": "",
          "nsites": null,
          "phase": "CBCC_A12",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.00040063259745471916
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -2201.355448691138,
          "energy_per_atom": -2201.355448691138,
          "enthalpy": -1967.2172273436079,
          "entries_at_x": 1,
          "entropy": 0.7853034423864926,
          "formula": "",
          "nsites": null,
          "phase": "MNZN_B2",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.5
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -3218.517550266257,
          "energy_per_atom": -3218.517550266257,
          "enthalpy": -2828.5995873811007,
          "entries_at_x": 1,
          "entropy": 1.3077912556939566,
          "formula": "",
          "nsites": null,
          "phase": "MNZN3_L12",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.7477237204021279
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -3219.7723917348594,
          "energy_per_atom": -3219.7723917348594,
          "enthalpy": -2846.4144421589644,
          "entries_at_x": 1,
          "entropy": 1.2522486988961674,
          "formula": "",
          "nsites": null,
          "phase": "MNZN3_L12",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.7512094744018949
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -2977.309339526306,
          "energy_per_atom": -2977.309339526306,
          "enthalpy": -2327.6964282464774,
          "entries_at_x": 1,
          "entropy": 2.178812380613209,
          "formula": "",
          "nsites": null,
          "phase": "MN5ZN21_D82",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.8035951631495595
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -2742.7770163843743,
          "energy_per_atom": -2742.7770163843743,
          "enthalpy": -2206.739139465745,
          "entries_at_x": 1,
          "entropy": 1.7978798487963275,
          "formula": "",
          "nsites": null,
          "phase": "MN5ZN21_D82",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.8295852875523276
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -1814.4136308446086,
          "energy_per_atom": -1814.4136308446086,
          "enthalpy": -1349.743187929303,
          "entries_at_x": 1,
          "entropy": 1.558512302248225,
          "formula": "",
          "nsites": null,
          "phase": "MNZN9_LT",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.8969807261421939
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -1779.0398967440233,
          "energy_per_atom": -1779.0398967440233,
          "enthalpy": -1317.1420674845647,
          "entries_at_x": 1,
          "entropy": 1.549212910479504,
          "formula": "",
          "nsites": null,
          "phase": "MNZN9_LT",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.899435039704306
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -1442.471268429019,
          "energy_per_atom": -1442.471268429019,
          "enthalpy": -1296.2606791499513,
          "entries_at_x": 1,
          "entropy": 0.49039271936632645,
          "formula": "",
          "nsites": null,
          "phase": "MNZN13",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.9217953425080226
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -1435.2035151119908,
          "energy_per_atom": -1435.2035151119908,
          "enthalpy": -1295.5292126898162,
          "entries_at_x": 1,
          "entropy": 0.4684699058265025,
          "formula": "",
          "nsites": null,
          "phase": "MNZN13",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.9222382828538185
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.06788829682045616,
          "energy_per_atom": -0.06788829682045616,
          "enthalpy": 0.04499146262247665,
          "entries_at_x": 1,
          "entropy": 0.000378600568318177,
          "formula": "",
          "nsites": null,
          "phase": "HCP_A3",
          "phase_kind": "solution",
          "spacegroup_number": null,
          "spacegroup_symbol": "",
          "theoretical": false,
          "x": 0.9999967554043445
        },
        {
          "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": "MnZn-21Li",
    "builder_version": 1,
    "engine": {
      "numpy": "2.5.1",
      "pycalphad": "0.11.2",
      "python": "3.13.15"
    },
    "fit_tol": 1.0,
    "observed_at": "2026-09-03T00:49:52Z",
    "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/MnZn-21Li.tdb",
    "source_sha256": "e98758ee612e75dd75ea05c6729ff395124968e7cd34877f36db1eabef7a4f97"
  },
  "reference": {
    "kind": "calphad_formation_T",
    "per": "mole_atoms",
    "temperature_K": 298.15,
    "units": "J/mol-atoms"
  },
  "schema_version": 1,
  "system_id": "MN-ZN",
  "x_element": "ZN"
}
