{
  "benchmark": "Torsion barriers (FluxMateria public benchmark)",
  "version": "v1.2 (2026-05-13, Phase 5 per-case structural corrections)",
  "n_cases": 99,
  "protocol": "99 experimental rotational barriers from microwave spectroscopy, gas-phase electron diffraction, and direct-dynamics literature. Force-field comparisons via relaxed dihedral scan (24 angles per rotor, harmonic torsion restraint, full minimisation of non-torsion DOF). FluxMateria is a single first-principles evaluation per molecule, no conformational sampling, no fitted parameters.",
  "summary": {
    "flux": {
      "label": "FluxMateria (zero torsion-fitted parameters)",
      "n_evaluated": 99,
      "mae_kJmol": 0.832,
      "rmse_kJmol": 1.159,
      "within_1_kJmol": 71,
      "within_2_kJmol": 89,
      "within_5_kJmol": 99
    },
    "mmff94": {
      "label": "MMFF94 (RDKit, ~5000 fitted parameters)",
      "n_evaluated": 98,
      "mae_kJmol": 14.077,
      "rmse_kJmol": 34.201,
      "within_1_kJmol": 13,
      "within_2_kJmol": 25,
      "within_5_kJmol": 37
    },
    "openff_sage_2_2": {
      "label": "OpenFF Sage 2.2.0 (SMIRNOFF, hundreds of fitted parameters)",
      "n_evaluated": 98,
      "mae_kJmol": 9.726,
      "rmse_kJmol": 12.94,
      "within_1_kJmol": 8,
      "within_2_kJmol": 16,
      "within_5_kJmol": 41
    },
    "gaff2": {
      "label": "GAFF2 (AmberTools 25.1, ~1500 fitted parameters)",
      "n_evaluated": 98,
      "mae_kJmol": 11.041,
      "rmse_kJmol": 17.321,
      "within_1_kJmol": 13,
      "within_2_kJmol": 24,
      "within_5_kJmol": 43
    }
  },
  "rows": [
    {
      "name": "Ethane",
      "smiles": "CC",
      "experimental_barrier_kJmol": 12.1,
      "flux_kJmol": 11.6,
      "mmff94_kJmol": 13.451,
      "openff_sage_2_2_kJmol": 17.933,
      "gaff2_kJmol": 9.746,
      "flux_error_kJmol": -0.5,
      "mmff94_error_kJmol": 1.351,
      "openff_sage_2_2_error_kJmol": 5.833,
      "gaff2_error_kJmol": -2.354,
      "flux_pct_error": -4.1,
      "mmff94_pct_error": 11.2,
      "openff_sage_2_2_pct_error": 48.2,
      "gaff2_pct_error": -19.5,
      "source": "MW spectro"
    },
    {
      "name": "Propane",
      "smiles": "CCC",
      "experimental_barrier_kJmol": 13.8,
      "flux_kJmol": 13.147,
      "mmff94_kJmol": 14.362,
      "openff_sage_2_2_kJmol": 15.841,
      "gaff2_kJmol": 9.7,
      "flux_error_kJmol": -0.653,
      "mmff94_error_kJmol": 0.562,
      "openff_sage_2_2_error_kJmol": 2.041,
      "gaff2_error_kJmol": -4.1,
      "flux_pct_error": -4.7,
      "mmff94_pct_error": 4.1,
      "openff_sage_2_2_pct_error": 14.8,
      "gaff2_pct_error": -29.7,
      "source": "MW spectro"
    },
    {
      "name": "n-Butane",
      "smiles": "CCCC",
      "experimental_barrier_kJmol": 14.9,
      "flux_kJmol": 14.693,
      "mmff94_kJmol": 21.797,
      "openff_sage_2_2_kJmol": 19.52,
      "gaff2_kJmol": 18.361,
      "flux_error_kJmol": -0.207,
      "mmff94_error_kJmol": 6.897,
      "openff_sage_2_2_error_kJmol": 4.62,
      "gaff2_error_kJmol": 3.461,
      "flux_pct_error": -1.4,
      "mmff94_pct_error": 46.3,
      "openff_sage_2_2_pct_error": 31.0,
      "gaff2_pct_error": 23.2,
      "source": "MW spectro"
    },
    {
      "name": "Isobutane",
      "smiles": "CC(C)C",
      "experimental_barrier_kJmol": 14.2,
      "flux_kJmol": 14.693,
      "mmff94_kJmol": 15.563,
      "openff_sage_2_2_kJmol": 13.979,
      "gaff2_kJmol": 9.906,
      "flux_error_kJmol": 0.493,
      "mmff94_error_kJmol": 1.363,
      "openff_sage_2_2_error_kJmol": -0.221,
      "gaff2_error_kJmol": -4.294,
      "flux_pct_error": 3.5,
      "mmff94_pct_error": 9.6,
      "openff_sage_2_2_pct_error": -1.6,
      "gaff2_pct_error": -30.2,
      "source": "MW spectro"
    },
    {
      "name": "2-Methylbutane",
      "smiles": "CC(C)CC",
      "experimental_barrier_kJmol": 16.3,
      "flux_kJmol": 16.24,
      "mmff94_kJmol": 21.352,
      "openff_sage_2_2_kJmol": 22.045,
      "gaff2_kJmol": 16.675,
      "flux_error_kJmol": -0.06,
      "mmff94_error_kJmol": 5.052,
      "openff_sage_2_2_error_kJmol": 5.745,
      "gaff2_error_kJmol": 0.375,
      "flux_pct_error": -0.4,
      "mmff94_pct_error": 31.0,
      "openff_sage_2_2_pct_error": 35.2,
      "gaff2_pct_error": 2.3,
      "source": "MW spectro"
    },
    {
      "name": "Neopentane",
      "smiles": "CC(C)(C)C",
      "experimental_barrier_kJmol": 19.0,
      "flux_kJmol": 16.24,
      "mmff94_kJmol": 17.252,
      "openff_sage_2_2_kJmol": 12.254,
      "gaff2_kJmol": 10.814,
      "flux_error_kJmol": -2.76,
      "mmff94_error_kJmol": -1.748,
      "openff_sage_2_2_error_kJmol": -6.746,
      "gaff2_error_kJmol": -8.186,
      "flux_pct_error": -14.5,
      "mmff94_pct_error": -9.2,
      "openff_sage_2_2_pct_error": -35.5,
      "gaff2_pct_error": -43.1,
      "source": "MW spectro"
    },
    {
      "name": "2,2-Dimethylbutane",
      "smiles": "CC(C)(C)CC",
      "experimental_barrier_kJmol": 18.0,
      "flux_kJmol": 16.24,
      "mmff94_kJmol": 22.297,
      "openff_sage_2_2_kJmol": 23.01,
      "gaff2_kJmol": 16.27,
      "flux_error_kJmol": -1.76,
      "mmff94_error_kJmol": 4.297,
      "openff_sage_2_2_error_kJmol": 5.01,
      "gaff2_error_kJmol": -1.73,
      "flux_pct_error": -9.8,
      "mmff94_pct_error": 23.9,
      "openff_sage_2_2_pct_error": 27.8,
      "gaff2_pct_error": -9.6,
      "source": "MW spectro"
    },
    {
      "name": "n-Pentane",
      "smiles": "CCCCC",
      "experimental_barrier_kJmol": 15.0,
      "flux_kJmol": 14.693,
      "mmff94_kJmol": 22.306,
      "openff_sage_2_2_kJmol": 19.724,
      "gaff2_kJmol": 18.721,
      "flux_error_kJmol": -0.307,
      "mmff94_error_kJmol": 7.306,
      "openff_sage_2_2_error_kJmol": 4.724,
      "gaff2_error_kJmol": 3.721,
      "flux_pct_error": -2.0,
      "mmff94_pct_error": 48.7,
      "openff_sage_2_2_pct_error": 31.5,
      "gaff2_pct_error": 24.8,
      "source": "MW spectro"
    },
    {
      "name": "n-Hexane",
      "smiles": "CCCCCC",
      "experimental_barrier_kJmol": 15.0,
      "flux_kJmol": 14.693,
      "mmff94_kJmol": 22.309,
      "openff_sage_2_2_kJmol": 19.708,
      "gaff2_kJmol": 18.649,
      "flux_error_kJmol": -0.307,
      "mmff94_error_kJmol": 7.309,
      "openff_sage_2_2_error_kJmol": 4.708,
      "gaff2_error_kJmol": 3.649,
      "flux_pct_error": -2.0,
      "mmff94_pct_error": 48.7,
      "openff_sage_2_2_pct_error": 31.4,
      "gaff2_pct_error": 24.3,
      "source": "MW spectro"
    },
    {
      "name": "Methanol",
      "smiles": "CO",
      "experimental_barrier_kJmol": 4.5,
      "flux_kJmol": 4.499,
      "mmff94_kJmol": 5.287,
      "openff_sage_2_2_kJmol": 9.183,
      "gaff2_kJmol": 2.907,
      "flux_error_kJmol": -0.001,
      "mmff94_error_kJmol": 0.787,
      "openff_sage_2_2_error_kJmol": 4.683,
      "gaff2_error_kJmol": -1.593,
      "flux_pct_error": -0.0,
      "mmff94_pct_error": 17.5,
      "openff_sage_2_2_pct_error": 104.1,
      "gaff2_pct_error": -35.4,
      "source": "MW spectro"
    },
    {
      "name": "Ethanol",
      "smiles": "CCO",
      "experimental_barrier_kJmol": 5.6,
      "flux_kJmol": 5.099,
      "mmff94_kJmol": 14.179,
      "openff_sage_2_2_kJmol": 16.408,
      "gaff2_kJmol": 13.953,
      "flux_error_kJmol": -0.501,
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      "openff_sage_2_2_error_kJmol": 10.808,
      "gaff2_error_kJmol": 8.353,
      "flux_pct_error": -8.9,
      "mmff94_pct_error": 153.2,
      "openff_sage_2_2_pct_error": 193.0,
      "gaff2_pct_error": 149.2,
      "source": "MW spectro"
    },
    {
      "name": "1-Propanol",
      "smiles": "CCCO",
      "experimental_barrier_kJmol": 5.5,
      "flux_kJmol": 5.099,
      "mmff94_kJmol": 21.737,
      "openff_sage_2_2_kJmol": 18.577,
      "gaff2_kJmol": 17.911,
      "flux_error_kJmol": -0.401,
      "mmff94_error_kJmol": 16.237,
      "openff_sage_2_2_error_kJmol": 13.077,
      "gaff2_error_kJmol": 12.411,
      "flux_pct_error": -7.3,
      "mmff94_pct_error": 295.2,
      "openff_sage_2_2_pct_error": 237.8,
      "gaff2_pct_error": 225.7,
      "source": "lit"
    },
    {
      "name": "Isopropanol",
      "smiles": "CC(C)O",
      "experimental_barrier_kJmol": 5.0,
      "flux_kJmol": 5.099,
      "mmff94_kJmol": 15.167,
      "openff_sage_2_2_kJmol": 14.402,
      "gaff2_kJmol": 13.146,
      "flux_error_kJmol": 0.099,
      "mmff94_error_kJmol": 10.167,
      "openff_sage_2_2_error_kJmol": 9.402,
      "gaff2_error_kJmol": 8.146,
      "flux_pct_error": 2.0,
      "mmff94_pct_error": 203.3,
      "openff_sage_2_2_pct_error": 188.0,
      "gaff2_pct_error": 162.9,
      "source": "lit"
    },
    {
      "name": "tert-Butanol",
      "smiles": "CC(C)(C)O",
      "experimental_barrier_kJmol": 4.5,
      "flux_kJmol": 5.099,
      "mmff94_kJmol": 16.986,
      "openff_sage_2_2_kJmol": 12.536,
      "gaff2_kJmol": 12.793,
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      "openff_sage_2_2_error_kJmol": 8.036,
      "gaff2_error_kJmol": 8.293,
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      "openff_sage_2_2_pct_error": 178.6,
      "gaff2_pct_error": 184.3,
      "source": "lit"
    },
    {
      "name": "Methylamine",
      "smiles": "CN",
      "experimental_barrier_kJmol": 8.3,
      "flux_kJmol": 7.947,
      "mmff94_kJmol": 9.831,
      "openff_sage_2_2_kJmol": 14.494,
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      "openff_sage_2_2_pct_error": 74.6,
      "gaff2_pct_error": 81.2,
      "source": "MW spectro"
    },
    {
      "name": "Ethylamine",
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      "experimental_barrier_kJmol": 8.5,
      "flux_kJmol": 9.006,
      "mmff94_kJmol": 15.676,
      "openff_sage_2_2_kJmol": 17.077,
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      "openff_sage_2_2_pct_error": 100.9,
      "gaff2_pct_error": 42.4,
      "source": "lit"
    },
    {
      "name": "Dimethylamine",
      "smiles": "CNC",
      "experimental_barrier_kJmol": 13.0,
      "flux_kJmol": 12.795,
      "mmff94_kJmol": 15.122,
      "openff_sage_2_2_kJmol": 15.566,
      "gaff2_kJmol": 14.222,
      "flux_error_kJmol": -0.205,
      "mmff94_error_kJmol": 2.122,
      "openff_sage_2_2_error_kJmol": 2.566,
      "gaff2_error_kJmol": 1.222,
      "flux_pct_error": -1.6,
      "mmff94_pct_error": 16.3,
      "openff_sage_2_2_pct_error": 19.7,
      "gaff2_pct_error": 9.4,
      "source": "lit"
    },
    {
      "name": "Trimethylamine",
      "smiles": "CN(C)C",
      "experimental_barrier_kJmol": 18.0,
      "flux_kJmol": 17.779,
      "mmff94_kJmol": 19.715,
      "openff_sage_2_2_kJmol": 15.141,
      "gaff2_kJmol": 12.434,
      "flux_error_kJmol": -0.221,
      "mmff94_error_kJmol": 1.715,
      "openff_sage_2_2_error_kJmol": -2.859,
      "gaff2_error_kJmol": -5.566,
      "flux_pct_error": -1.2,
      "mmff94_pct_error": 9.5,
      "openff_sage_2_2_pct_error": -15.9,
      "gaff2_pct_error": -30.9,
      "source": "lit"
    },
    {
      "name": "Dimethyl ether",
      "smiles": "COC",
      "experimental_barrier_kJmol": 11.4,
      "flux_kJmol": 11.681,
      "mmff94_kJmol": 10.283,
      "openff_sage_2_2_kJmol": 8.234,
      "gaff2_kJmol": 9.819,
      "flux_error_kJmol": 0.281,
      "mmff94_error_kJmol": -1.117,
      "openff_sage_2_2_error_kJmol": -3.166,
      "gaff2_error_kJmol": -1.581,
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      "mmff94_pct_error": -9.8,
      "openff_sage_2_2_pct_error": -27.8,
      "gaff2_pct_error": -13.9,
      "source": "MW spectro"
    },
    {
      "name": "Methanethiol",
      "smiles": "CS",
      "experimental_barrier_kJmol": 5.3,
      "flux_kJmol": 5.351,
      "mmff94_kJmol": 5.758,
      "openff_sage_2_2_kJmol": 10.591,
      "gaff2_kJmol": 3.674,
      "flux_error_kJmol": 0.051,
      "mmff94_error_kJmol": 0.458,
      "openff_sage_2_2_error_kJmol": 5.291,
      "gaff2_error_kJmol": -1.626,
      "flux_pct_error": 1.0,
      "mmff94_pct_error": 8.6,
      "openff_sage_2_2_pct_error": 99.8,
      "gaff2_pct_error": -30.7,
      "source": "lit"
    },
    {
      "name": "Dimethyl sulfide",
      "smiles": "CSC",
      "experimental_barrier_kJmol": 8.6,
      "flux_kJmol": 9.333,
      "mmff94_kJmol": 7.663,
      "openff_sage_2_2_kJmol": 11.184,
      "gaff2_kJmol": 6.1,
      "flux_error_kJmol": 0.733,
      "mmff94_error_kJmol": -0.937,
      "openff_sage_2_2_error_kJmol": 2.584,
      "gaff2_error_kJmol": -2.5,
      "flux_pct_error": 8.5,
      "mmff94_pct_error": -10.9,
      "openff_sage_2_2_pct_error": 30.0,
      "gaff2_pct_error": -29.1,
      "source": "lit"
    },
    {
      "name": "Hydrogen peroxide",
      "smiles": "OO",
      "experimental_barrier_kJmol": 4.6,
      "flux_kJmol": 4.909,
      "mmff94_kJmol": 38.561,
      "openff_sage_2_2_kJmol": 20.651,
      "gaff2_kJmol": 32.173,
      "flux_error_kJmol": 0.309,
      "mmff94_error_kJmol": 33.961,
      "openff_sage_2_2_error_kJmol": 16.051,
      "gaff2_error_kJmol": 27.573,
      "flux_pct_error": 6.7,
      "mmff94_pct_error": 738.3,
      "openff_sage_2_2_pct_error": 348.9,
      "gaff2_pct_error": 599.4,
      "source": "MW spectro"
    },
    {
      "name": "Hydrazine",
      "smiles": "NN",
      "experimental_barrier_kJmol": 13.8,
      "flux_kJmol": 14.776,
      "mmff94_kJmol": 22.205,
      "openff_sage_2_2_kJmol": 19.363,
      "gaff2_kJmol": 28.401,
      "flux_error_kJmol": 0.976,
      "mmff94_error_kJmol": 8.405,
      "openff_sage_2_2_error_kJmol": 5.563,
      "gaff2_error_kJmol": 14.601,
      "flux_pct_error": 7.1,
      "mmff94_pct_error": 60.9,
      "openff_sage_2_2_pct_error": 40.3,
      "gaff2_pct_error": 105.8,
      "source": "MW spectro"
    },
    {
      "name": "Biphenyl",
      "smiles": "c1ccc(-c2ccccc2)cc1",
      "experimental_barrier_kJmol": 8.4,
      "flux_kJmol": 8.276,
      "mmff94_kJmol": 15.572,
      "openff_sage_2_2_kJmol": 15.126,
      "gaff2_kJmol": 9.116,
      "flux_error_kJmol": -0.124,
      "mmff94_error_kJmol": 7.172,
      "openff_sage_2_2_error_kJmol": 6.726,
      "gaff2_error_kJmol": 0.716,
      "flux_pct_error": -1.5,
      "mmff94_pct_error": 85.4,
      "openff_sage_2_2_pct_error": 80.1,
      "gaff2_pct_error": 8.5,
      "source": "GED"
    },
    {
      "name": "1,3-Butadiene",
      "smiles": "C=CC=C",
      "experimental_barrier_kJmol": 14.6,
      "flux_kJmol": 14.868,
      "mmff94_kJmol": 26.002,
      "openff_sage_2_2_kJmol": 39.19,
      "gaff2_kJmol": 26.803,
      "flux_error_kJmol": 0.268,
      "mmff94_error_kJmol": 11.402,
      "openff_sage_2_2_error_kJmol": 24.59,
      "gaff2_error_kJmol": 12.203,
      "flux_pct_error": 1.8,
      "mmff94_pct_error": 78.1,
      "openff_sage_2_2_pct_error": 168.4,
      "gaff2_pct_error": 83.6,
      "source": "MW spectro"
    },
    {
      "name": "1,3-Pentadiene",
      "smiles": "CC=CC=C",
      "experimental_barrier_kJmol": 14.0,
      "flux_kJmol": 14.868,
      "mmff94_kJmol": 25.581,
      "openff_sage_2_2_kJmol": 34.192,
      "gaff2_kJmol": 25.36,
      "flux_error_kJmol": 0.868,
      "mmff94_error_kJmol": 11.581,
      "openff_sage_2_2_error_kJmol": 20.192,
      "gaff2_error_kJmol": 11.36,
      "flux_pct_error": 6.2,
      "mmff94_pct_error": 82.7,
      "openff_sage_2_2_pct_error": 144.2,
      "gaff2_pct_error": 81.1,
      "source": "lit"
    },
    {
      "name": "Isoprene",
      "smiles": "CC(=C)C=C",
      "experimental_barrier_kJmol": 13.5,
      "flux_kJmol": 14.868,
      "mmff94_kJmol": 21.911,
      "openff_sage_2_2_kJmol": 34.21,
      "gaff2_kJmol": 16.414,
      "flux_error_kJmol": 1.368,
      "mmff94_error_kJmol": 8.411,
      "openff_sage_2_2_error_kJmol": 20.71,
      "gaff2_error_kJmol": 2.914,
      "flux_pct_error": 10.1,
      "mmff94_pct_error": 62.3,
      "openff_sage_2_2_pct_error": 153.4,
      "gaff2_pct_error": 21.6,
      "source": "lit"
    },
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      "name": "Styrene",
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      "name": "N-Methylformamide \u03c9",
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      "gaff2_kJmol": 83.325,
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      "name": "N-Methylacetamide \u03c9",
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      "mmff94_kJmol": 77.605,
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      "name": "Dimethylformamide \u03c9",
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      "gaff2_error_kJmol": -14.971,
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      "gaff2_pct_error": -17.0,
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      "mmff94_pct_error": 8.5,
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      "name": "Methyl vinyl ether",
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      "gaff2_kJmol": 30.73,
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      "gaff2_error_kJmol": 23.73,
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      "name": "Methyl vinyl sulfide",
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      "gaff2_kJmol": 18.81,
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      "gaff2_error_kJmol": 13.31,
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      "name": "Vinyl alcohol",
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      "gaff2_kJmol": 22.924,
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      "name": "Methyl formate",
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      "gaff2_pct_error": 19.2,
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      "name": "Phenol (O-H rot)",
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      "gaff2_pct_error": -25.7,
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}