{
  "counts": {
    "above_hull": 22,
    "entries": 50,
    "intervals": 4,
    "vertices": 5
  },
  "elements": [
    "MN",
    "S"
  ],
  "flags": [
    "has_intermediate_compounds",
    "theoretical_vertices"
  ],
  "isotherms": [
    {
      "intervals": [
        {
          "intercept": 0.0,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaaaaabj",
            "x": 0.0
          },
          "mu_a_rel": 0.0,
          "mu_b_rel": -1.4705103210560342,
          "right": {
            "phase": "mp-aaaaadbl",
            "x": 0.5
          },
          "slope": -1.4705103210560342,
          "x_hi": 0.5,
          "x_lo": 0.0
        },
        {
          "intercept": -0.19069677793102902,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaaaadbl",
            "x": 0.5
          },
          "mu_a_rel": -0.19069677793102902,
          "mu_b_rel": -1.2798135431250053,
          "right": {
            "phase": "mp-aaacdljf",
            "x": 0.6
          },
          "slope": -1.0891167651939762,
          "x_hi": 0.6,
          "x_lo": 0.5
        },
        {
          "intercept": -0.4359837079310504,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaacdljf",
            "x": 0.6
          },
          "mu_a_rel": -0.4359837079310504,
          "mu_b_rel": -1.1162889231249908,
          "right": {
            "phase": "mp-aaadcxpl",
            "x": 0.6666666666666666
          },
          "slope": -0.6803052151939405,
          "x_hi": 0.6666666666666666,
          "x_lo": 0.6
        },
        {
          "intercept": -2.6685615541810317,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaadcxpl",
            "x": 0.6666666666666666
          },
          "mu_a_rel": -2.6685615541810317,
          "mu_b_rel": 0.0,
          "right": {
            "phase": "mp-aaaaaads",
            "x": 1.0
          },
          "slope": 2.6685615541810317,
          "x_hi": 1.0,
          "x_lo": 0.6666666666666666
        }
      ],
      "temperature_K": 0.0,
      "vertices": [
        {
          "collinear": false,
          "degenerate": [],
          "energy": 0.0,
          "energy_per_atom": -9.162015292068965,
          "entries_at_x": 7,
          "formula": "Mn",
          "nsites": 29,
          "phase": "mp-aaaaaabj",
          "phase_kind": "structure",
          "spacegroup_number": 217,
          "spacegroup_symbol": "I-43m",
          "theoretical": false,
          "x": 0.0
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.7352551605280171,
          "energy_per_atom": -7.38448774,
          "entries_at_x": 4,
          "formula": "MnS",
          "nsites": 4,
          "phase": "mp-aaaaadbl",
          "phase_kind": "structure",
          "spacegroup_number": 225,
          "spacegroup_symbol": "Fm-3m",
          "theoretical": false,
          "x": 0.5
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.8441668370474147,
          "energy_per_atom": -6.990842874,
          "entries_at_x": 1,
          "formula": "Mn2S3",
          "nsites": 10,
          "phase": "mp-aaacdljf",
          "phase_kind": "structure",
          "spacegroup_number": 167,
          "spacegroup_symbol": "R-3c",
          "theoretical": true,
          "x": 0.6
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.889520518060344,
          "energy_per_atom": -6.70115886,
          "entries_at_x": 6,
          "formula": "MnS2",
          "nsites": 3,
          "phase": "mp-aaadcxpl",
          "phase_kind": "structure",
          "spacegroup_number": 166,
          "spacegroup_symbol": "R-3m",
          "theoretical": true,
          "x": 0.6666666666666666
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": 0.0,
          "energy_per_atom": -4.136449866875,
          "entries_at_x": 31,
          "formula": "S",
          "nsites": 32,
          "phase": "mp-aaaaaads",
          "phase_kind": "structure",
          "spacegroup_number": 13,
          "spacegroup_symbol": "P2/c",
          "theoretical": false,
          "x": 1.0
        }
      ]
    }
  ],
  "mp_agreement": {
    "comparable": true,
    "comparable_note": "",
    "max_abs_delta_energy_above_hull": 7.771561172376096e-16,
    "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": "MN-S",
  "x_element": "S"
}
