{
  "counts": {
    "above_hull": 13,
    "entries": 27,
    "intervals": 7,
    "vertices": 8
  },
  "elements": [
    "NI",
    "PR"
  ],
  "flags": [
    "has_intermediate_compounds"
  ],
  "isotherms": [
    {
      "intervals": [
        {
          "intercept": 0.0,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaaaaaax",
            "x": 0.0
          },
          "mu_a_rel": 0.0,
          "mu_b_rel": -1.5658436950000054,
          "right": {
            "phase": "mp-aaaaadne",
            "x": 0.16666666666666666
          },
          "slope": -1.5658436950000054,
          "x_hi": 0.16666666666666666,
          "x_lo": 0.0
        },
        {
          "intercept": -0.1888924825000031,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaaaadne",
            "x": 0.16666666666666666
          },
          "mu_a_rel": -0.1888924825000031,
          "mu_b_rel": -0.6213812824999898,
          "right": {
            "phase": "mp-aaacqgla",
            "x": 0.20833333333333334
          },
          "slope": -0.43248879999998674,
          "x_hi": 0.20833333333333334,
          "x_lo": 0.16666666666666666
        },
        {
          "intercept": -0.21635502000000417,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaacqgla",
            "x": 0.20833333333333334
          },
          "mu_a_rel": -0.21635502000000417,
          "mu_b_rel": -0.5170236399999857,
          "right": {
            "phase": "mp-aaacqjdd",
            "x": 0.2222222222222222
          },
          "slope": -0.3006686199999815,
          "x_hi": 0.2222222222222222,
          "x_lo": 0.20833333333333334
        },
        {
          "intercept": -0.24947365000000354,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaacqjdd",
            "x": 0.2222222222222222
          },
          "mu_a_rel": -0.24947365000000354,
          "mu_b_rel": -0.4011084349999879,
          "right": {
            "phase": "mp-aaacksvt",
            "x": 0.25
          },
          "slope": -0.15163478499998434,
          "x_hi": 0.25,
          "x_lo": 0.2222222222222222
        },
        {
          "intercept": -0.28189891499999986,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaacksvt",
            "x": 0.25
          },
          "mu_a_rel": -0.28189891499999986,
          "mu_b_rel": -0.303832639999999,
          "right": {
            "phase": "mp-aaaaarlv",
            "x": 0.5
          },
          "slope": -0.021933724999999127,
          "x_hi": 0.5,
          "x_lo": 0.25
        },
        {
          "intercept": -0.5688434237499997,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaaaarlv",
            "x": 0.5
          },
          "mu_a_rel": -0.5688434237499997,
          "mu_b_rel": -0.016888131249999105,
          "right": {
            "phase": "mp-aaackyhe",
            "x": 0.75
          },
          "slope": 0.5519552925000006,
          "x_hi": 0.75,
          "x_lo": 0.5
        },
        {
          "intercept": -0.6195078174999971,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaackyhe",
            "x": 0.75
          },
          "mu_a_rel": -0.6195078174999971,
          "mu_b_rel": 0.0,
          "right": {
            "phase": "mp-aaaaaabm",
            "x": 1.0
          },
          "slope": 0.6195078174999971,
          "x_hi": 1.0,
          "x_lo": 0.75
        }
      ],
      "temperature_K": 0.0,
      "vertices": [
        {
          "collinear": false,
          "degenerate": [],
          "energy": 0.0,
          "energy_per_atom": -5.78013668,
          "entries_at_x": 6,
          "formula": "Ni",
          "nsites": 1,
          "phase": "mp-aaaaaaax",
          "phase_kind": "structure",
          "spacegroup_number": 225,
          "spacegroup_symbol": "Fm-3m",
          "theoretical": false,
          "x": 0.0
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.26097394916666755,
          "energy_per_atom": -5.874572141666667,
          "entries_at_x": 1,
          "formula": "PrNi5",
          "nsites": 6,
          "phase": "mp-aaaaadne",
          "phase_kind": "structure",
          "spacegroup_number": 191,
          "spacegroup_symbol": "P6/mmm",
          "theoretical": false,
          "x": 0.16666666666666666
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.2789943158333337,
          "energy_per_atom": -5.850957886458333,
          "entries_at_x": 2,
          "formula": "Pr5Ni19",
          "nsites": 48,
          "phase": "mp-aaacqgla",
          "phase_kind": "structure",
          "spacegroup_number": 194,
          "spacegroup_symbol": "P6_3/mmc",
          "theoretical": false,
          "x": 0.20833333333333334
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.28317026888888897,
          "energy_per_atom": -5.841255632222222,
          "entries_at_x": 2,
          "formula": "Pr2Ni7",
          "nsites": 36,
          "phase": "mp-aaacqjdd",
          "phase_kind": "structure",
          "spacegroup_number": 194,
          "spacegroup_symbol": "P6_3/mmc",
          "theoretical": false,
          "x": 0.2222222222222222
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.28738234624999964,
          "energy_per_atom": -5.817711295,
          "entries_at_x": 1,
          "formula": "PrNi3",
          "nsites": 12,
          "phase": "mp-aaacksvt",
          "phase_kind": "structure",
          "spacegroup_number": 166,
          "spacegroup_symbol": "R-3m",
          "theoretical": false,
          "x": 0.25
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.2928657774999994,
          "energy_per_atom": -5.573386995,
          "entries_at_x": 1,
          "formula": "PrNi",
          "nsites": 4,
          "phase": "mp-aaaaarlv",
          "phase_kind": "structure",
          "spacegroup_number": 63,
          "spacegroup_symbol": "Cmcm",
          "theoretical": false,
          "x": 0.5
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.15487695437499926,
          "energy_per_atom": -5.185590440625,
          "entries_at_x": 1,
          "formula": "Pr3Ni",
          "nsites": 16,
          "phase": "mp-aaackyhe",
          "phase_kind": "structure",
          "spacegroup_number": 62,
          "spacegroup_symbol": "Pnma",
          "theoretical": false,
          "x": 0.75
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": 0.0,
          "energy_per_atom": -4.780905755,
          "entries_at_x": 10,
          "formula": "Pr",
          "nsites": 4,
          "phase": "mp-aaaaaabm",
          "phase_kind": "structure",
          "spacegroup_number": 194,
          "spacegroup_symbol": "P6_3/mmc",
          "theoretical": false,
          "x": 1.0
        }
      ]
    }
  ],
  "mp_agreement": {
    "comparable": true,
    "comparable_note": "",
    "max_abs_delta_energy_above_hull": 2.070565940925917e-14,
    "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": "NI-PR",
  "x_element": "PR"
}