{
  "counts": {
    "above_hull": 9,
    "entries": 26,
    "intervals": 8,
    "vertices": 9
  },
  "elements": [
    "LA",
    "SN"
  ],
  "flags": [
    "has_intermediate_compounds",
    "theoretical_vertices"
  ],
  "isotherms": [
    {
      "intervals": [
        {
          "intercept": 0.0,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaaaaaba",
            "x": 0.0
          },
          "mu_a_rel": 0.0,
          "mu_b_rel": -1.910697650000003,
          "right": {
            "phase": "mp-aaaaacmr",
            "x": 0.25
          },
          "slope": -1.910697650000003,
          "x_hi": 0.25,
          "x_lo": 0.0
        },
        {
          "intercept": -0.023749173750001518,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaaaacmr",
            "x": 0.25
          },
          "mu_a_rel": -0.023749173750001518,
          "mu_b_rel": -1.8394501287499985,
          "right": {
            "phase": "mp-aaabdbek",
            "x": 0.375
          },
          "slope": -1.815700954999997,
          "x_hi": 0.375,
          "x_lo": 0.25
        },
        {
          "intercept": -0.29052595049999885,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaabdbek",
            "x": 0.375
          },
          "mu_a_rel": -0.29052595049999885,
          "mu_b_rel": -1.394822167500003,
          "right": {
            "phase": "mp-aaaabtmz",
            "x": 0.4444444444444444
          },
          "slope": -1.1042962170000041,
          "x_hi": 0.4444444444444444,
          "x_lo": 0.375
        },
        {
          "intercept": -0.5892381425000012,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaaabtmz",
            "x": 0.4444444444444444
          },
          "mu_a_rel": -0.5892381425000012,
          "mu_b_rel": -1.0214319275000001,
          "right": {
            "phase": "mp-aaacfxzr",
            "x": 0.5
          },
          "slope": -0.4321937849999989,
          "x_hi": 0.5,
          "x_lo": 0.4444444444444444
        },
        {
          "intercept": -1.0528160325000009,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaacfxzr",
            "x": 0.5
          },
          "mu_a_rel": -1.0528160325000009,
          "mu_b_rel": -0.5578540375000002,
          "right": {
            "phase": "mp-aaacqxxp",
            "x": 0.6
          },
          "slope": 0.4949619950000007,
          "x_hi": 0.6,
          "x_lo": 0.5
        },
        {
          "intercept": -1.3853982765000041,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaacqxxp",
            "x": 0.6
          },
          "mu_a_rel": -1.3853982765000041,
          "mu_b_rel": -0.33613254149999827,
          "right": {
            "phase": "mp-aaacjkon",
            "x": 0.7
          },
          "slope": 1.0492657350000059,
          "x_hi": 0.7,
          "x_lo": 0.6
        },
        {
          "intercept": -1.7133289949999986,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaacjkon",
            "x": 0.7
          },
          "mu_a_rel": -1.7133289949999986,
          "mu_b_rel": -0.19559080500000015,
          "right": {
            "phase": "mp-aaaaaayj",
            "x": 0.75
          },
          "slope": 1.5177381899999984,
          "x_hi": 0.75,
          "x_lo": 0.7
        },
        {
          "intercept": -2.30010141,
          "kind": "two_phase",
          "left": {
            "phase": "mp-aaaaaayj",
            "x": 0.75
          },
          "mu_a_rel": -2.30010141,
          "mu_b_rel": 0.0,
          "right": {
            "phase": "mp-aaaaaaen",
            "x": 1.0
          },
          "slope": 2.30010141,
          "x_hi": 1.0,
          "x_lo": 0.75
        }
      ],
      "temperature_K": 0.0,
      "vertices": [
        {
          "collinear": false,
          "degenerate": [],
          "energy": 0.0,
          "energy_per_atom": -4.936007105,
          "entries_at_x": 3,
          "formula": "La",
          "nsites": 4,
          "phase": "mp-aaaaaaba",
          "phase_kind": "structure",
          "spacegroup_number": 194,
          "spacegroup_symbol": "P6_3/mmc",
          "theoretical": false,
          "x": 0.0
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.47767441250000076,
          "energy_per_atom": -5.182072705,
          "entries_at_x": 1,
          "formula": "La3Sn",
          "nsites": 4,
          "phase": "mp-aaaaacmr",
          "phase_kind": "structure",
          "spacegroup_number": 221,
          "spacegroup_symbol": "Pm-3m",
          "theoretical": false,
          "x": 0.25
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.7046370318750004,
          "energy_per_atom": -5.293230918125,
          "entries_at_x": 2,
          "formula": "La5Sn3",
          "nsites": 16,
          "phase": "mp-aaabdbek",
          "phase_kind": "structure",
          "spacegroup_number": 140,
          "spacegroup_symbol": "I4/mcm",
          "theoretical": false,
          "x": 0.375
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.7813242691666673,
          "energy_per_atom": -5.305582374166667,
          "entries_at_x": 1,
          "formula": "La5Sn4",
          "nsites": 36,
          "phase": "mp-aaaabtmz",
          "phase_kind": "structure",
          "spacegroup_number": 62,
          "spacegroup_symbol": "Pnma",
          "theoretical": false,
          "x": 0.4444444444444444
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.8053350350000006,
          "energy_per_atom": -5.278124515,
          "entries_at_x": 1,
          "formula": "LaSn",
          "nsites": 4,
          "phase": "mp-aaacfxzr",
          "phase_kind": "structure",
          "spacegroup_number": 63,
          "spacegroup_symbol": "Cmcm",
          "theoretical": false,
          "x": 0.5
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.7558388355000005,
          "energy_per_atom": -5.1359847905,
          "entries_at_x": 1,
          "formula": "La2Sn3",
          "nsites": 20,
          "phase": "mp-aaacqxxp",
          "phase_kind": "structure",
          "spacegroup_number": 2,
          "spacegroup_symbol": "P-1",
          "theoretical": true,
          "x": 0.6
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.650912262,
          "energy_per_atom": -4.938414692,
          "entries_at_x": 1,
          "formula": "La3Sn7",
          "nsites": 10,
          "phase": "mp-aaacjkon",
          "phase_kind": "structure",
          "spacegroup_number": 65,
          "spacegroup_symbol": "Cmmm",
          "theoretical": false,
          "x": 0.7
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": -0.5750253525,
          "energy_per_atom": -4.81620602,
          "entries_at_x": 1,
          "formula": "LaSn3",
          "nsites": 4,
          "phase": "mp-aaaaaayj",
          "phase_kind": "structure",
          "spacegroup_number": 221,
          "spacegroup_symbol": "Pm-3m",
          "theoretical": false,
          "x": 0.75
        },
        {
          "collinear": false,
          "degenerate": [],
          "energy": 0.0,
          "energy_per_atom": -4.009571855,
          "entries_at_x": 9,
          "formula": "Sn",
          "nsites": 2,
          "phase": "mp-aaaaaaen",
          "phase_kind": "structure",
          "spacegroup_number": 227,
          "spacegroup_symbol": "Fd-3m",
          "theoretical": false,
          "x": 1.0
        }
      ]
    }
  ],
  "mp_agreement": {
    "comparable": true,
    "comparable_note": "",
    "max_abs_delta_energy_above_hull": 2.6645352591003757e-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": "LA-SN",
  "x_element": "SN"
}