{
  "counts": {
    "above_hull": 16,
    "entries": 31,
    "intervals": 9,
    "vertices": 10
  },
  "elements": [
    "MG",
    "PD"
  ],
  "flags": [
    "has_intermediate_compounds",
    "theoretical_vertices"
  ],
  "isotherms": [
    {
      "intervals": [
        {
          "intercept": 0.0,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaacidek",
            "x": 0.0
          },
          "mu_a_rel": 0.0,
          "mu_b_rel": -5.136418189999972,
          "right": {
            "phase": "mp-aaacplvg",
            "x": 0.006666666666666667
          },
          "slope": -5.136418189999972,
          "x_hi": 0.006666666666666667,
          "x_lo": 0.0
        },
        {
          "intercept": -0.023636453344748665,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaacplvg",
            "x": 0.006666666666666667
          },
          "mu_a_rel": -0.023636453344748665,
          "mu_b_rel": -1.6145866416324213,
          "right": {
            "phase": "mp-aaaabbrs",
            "x": 0.25
          },
          "slope": -1.5909501882876727,
          "x_hi": 0.25,
          "x_lo": 0.006666666666666667
        },
        {
          "intercept": -0.06599376583333333,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaaabbrs",
            "x": 0.25
          },
          "mu_a_rel": -0.06599376583333333,
          "mu_b_rel": -1.4875147041666674,
          "right": {
            "phase": "mp-aaaaadoo",
            "x": 0.2857142857142857
          },
          "slope": -1.421520938333334,
          "x_hi": 0.2857142857142857,
          "x_lo": 0.25
        },
        {
          "intercept": -0.11253531916666704,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaaaadoo",
            "x": 0.2857142857142857
          },
          "mu_a_rel": -0.11253531916666704,
          "mu_b_rel": -1.371160820833333,
          "right": {
            "phase": "mp-aaaaaatm",
            "x": 0.5
          },
          "slope": -1.258625501666666,
          "x_hi": 0.5,
          "x_lo": 0.2857142857142857
        },
        {
          "intercept": -1.1152497650000002,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaaaaatm",
            "x": 0.5
          },
          "mu_a_rel": -1.1152497650000002,
          "mu_b_rel": -0.368446375,
          "right": {
            "phase": "mp-aaacqwzn",
            "x": 0.625
          },
          "slope": 0.7468033900000002,
          "x_hi": 0.625,
          "x_lo": 0.5
        },
        {
          "intercept": -1.274321502500004,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaacqwzn",
            "x": 0.625
          },
          "mu_a_rel": -1.274321502500004,
          "mu_b_rel": -0.27300333249999764,
          "right": {
            "phase": "mp-aaaaaswb",
            "x": 0.6666666666666666
          },
          "slope": 1.0013181700000064,
          "x_hi": 0.6666666666666666,
          "x_lo": 0.625
        },
        {
          "intercept": -1.4916623824999968,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaaaaswb",
            "x": 0.6666666666666666
          },
          "mu_a_rel": -1.4916623824999968,
          "mu_b_rel": -0.16433289250000116,
          "right": {
            "phase": "mp-aaaaaswc",
            "x": 0.75
          },
          "slope": 1.3273294899999957,
          "x_hi": 0.75,
          "x_lo": 0.6666666666666666
        },
        {
          "intercept": -1.9531944350000052,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaaaaswc",
            "x": 0.75
          },
          "mu_a_rel": -1.9531944350000052,
          "mu_b_rel": -0.01048887499999851,
          "right": {
            "phase": "mp-aaacdpjf",
            "x": 0.8333333333333334
          },
          "slope": 1.9427055600000067,
          "x_hi": 0.8333333333333334,
          "x_lo": 0.75
        },
        {
          "intercept": -2.0056388099999976,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaacdpjf",
            "x": 0.8333333333333334
          },
          "mu_a_rel": -2.0056388099999976,
          "mu_b_rel": 0.0,
          "right": {
            "phase": "mp-aaaaaaac",
            "x": 1.0
          },
          "slope": 2.0056388099999976,
          "x_hi": 1.0,
          "x_lo": 0.8333333333333334
        }
      ],
      "temperature_K": 0.0,
      "vertices": [
        {
          "collinear": false,
          "degenerate": [],
          "energy": 0.0,
          "energy_per_atom": -1.60028005,
          "entries_at_x": 8,
          "formula": "Mg",
          "nsites": 1,
          "phase": "mp-aaacidek",
          "phase_kind": "structure",
          "spacegroup_number": 225,
          "spacegroup_symbol": "Fm-3m",
          "theoretical": true,
          "x": 0.0
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.03424278793333315,
          "energy_per_atom": -1.6583868496666665,
          "entries_at_x": 1,
          "formula": "Mg149Pd",
          "nsites": 150,
          "phase": "mp-aaacplvg",
          "phase_kind": "structure",
          "spacegroup_number": 187,
          "spacegroup_symbol": "P-6m2",
          "theoretical": true,
          "x": 0.006666666666666667
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.42137400041666684,
          "energy_per_atom": -2.916554490416667,
          "entries_at_x": 2,
          "formula": "Mg3Pd",
          "nsites": 24,
          "phase": "mp-aaaabbrs",
          "phase_kind": "structure",
          "spacegroup_number": 185,
          "spacegroup_symbol": "P6_3cm",
          "theoretical": false,
          "x": 0.25
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.47214260535714303,
          "energy_per_atom": -3.095166015357143,
          "entries_at_x": 2,
          "formula": "Mg5Pd2",
          "nsites": 28,
          "phase": "mp-aaaaadoo",
          "phase_kind": "structure",
          "spacegroup_number": 194,
          "spacegroup_symbol": "P6_3/mmc",
          "theoretical": false,
          "x": 0.2857142857142857
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.7418480700000001,
          "energy_per_atom": -4.131929,
          "entries_at_x": 1,
          "formula": "MgPd",
          "nsites": 2,
          "phase": "mp-aaaaaatm",
          "phase_kind": "structure",
          "spacegroup_number": 221,
          "spacegroup_symbol": "Pm-3m",
          "theoretical": false,
          "x": 0.5
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.6484976462500001,
          "energy_per_atom": -4.48602879625,
          "entries_at_x": 1,
          "formula": "Mg3Pd5",
          "nsites": 16,
          "phase": "mp-aaacqwzn",
          "phase_kind": "structure",
          "spacegroup_number": 55,
          "spacegroup_symbol": "Pbam",
          "theoretical": true,
          "x": 0.625
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.6067760558333332,
          "energy_per_atom": -4.593457279166667,
          "entries_at_x": 1,
          "formula": "MgPd2",
          "nsites": 12,
          "phase": "mp-aaaaaswb",
          "phase_kind": "structure",
          "spacegroup_number": 62,
          "spacegroup_symbol": "Pnma",
          "theoretical": false,
          "x": 0.6666666666666666
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.49616526500000013,
          "energy_per_atom": -4.781146635,
          "entries_at_x": 5,
          "formula": "MgPd3",
          "nsites": 8,
          "phase": "mp-aaaaaswc",
          "phase_kind": "structure",
          "spacegroup_number": 139,
          "spacegroup_symbol": "I4/mmm",
          "theoretical": false,
          "x": 0.75
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.3342731349999995,
          "energy_per_atom": -4.917554651666666,
          "entries_at_x": 2,
          "formula": "MgPd5",
          "nsites": 6,
          "phase": "mp-aaacdpjf",
          "phase_kind": "structure",
          "spacegroup_number": 189,
          "spacegroup_symbol": "P-62m",
          "theoretical": true,
          "x": 0.8333333333333334
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": 0.0,
          "energy_per_atom": -5.17988181,
          "entries_at_x": 4,
          "formula": "Pd",
          "nsites": 1,
          "phase": "mp-aaaaaaac",
          "phase_kind": "structure",
          "spacegroup_number": 225,
          "spacegroup_symbol": "Fm-3m",
          "theoretical": false,
          "x": 1.0
        }
      ]
    }
  ],
  "mp_agreement": {
    "comparable": true,
    "comparable_note": "",
    "max_abs_delta_energy_above_hull": 8.881784197001252e-15,
    "only_mp_stable": [],
    "only_ours_stable": [],
    "stable_sets_match": true
  },
  "provenance": {
    "above_hull_window_eV": 0.05,
    "builder_version": 1,
    "collinear_tol": 1e-12,
    "correction_model": "MP2020 (applied upstream by the Materials Project; none added)",
    "degenerate_tol": 1e-06,
    "entry_pool": "all_nondeprecated",
    "is_stable_source": "upstream_flag",
    "observed_at": "2026-09-01T20:54:47Z",
    "snapshot_scope_elements": [],
    "snapshot_scope_kind": "full",
    "snapshot_sha256": "b6deba8ecf1b67211b3d89cd33a5f98a1939d4bcd92db561818195e55187492a",
    "source_release": "2026.04.13",
    "stability_tol": 0.0001,
    "thermo_type": "GGA_GGA+U",
    "upstream_energy_corrections": "MP2020 compatibility corrections (anion and GGA/GGA+U mixing corrections), applied by the Materials Project to its GGA_GGA+U thermo energies"
  },
  "reference": {
    "kind": "dft_elemental_ground_state_0K",
    "per": "atom",
    "temperature_K": 0.0,
    "units": "eV/atom"
  },
  "schema_version": 1,
  "system_id": "MG-PD",
  "x_element": "PD"
}