{
  "field_diagnostic": {
    "table_sha256": "75e02b7d3274148f876c9e1d1f18bb4b7bfd0cf44917ed97e71f65b04557107e",
    "source_git_revision": "a50b5508775086e90dfe423455fb58d812578410",
    "reference_conditions": {
      "pressure_Pa": 100000.0,
      "temperature_K": 300,
      "number_density_m3": 2.4143235053466402e+25,
      "N2_fraction": 0.8,
      "O2_fraction": 0.2,
      "model": "Chosen dry-air state using reduced mobility and five reaction rates from Afivo air_chemistry_v3. Includes both N2 ionization channels, O2 ionization, two-body and three-body attachment. C27 FACTOR1e-6 applied. Drift-local-field approximation, not a rerun of BOLSIG or Afivo."
    },
    "Ek_from_table_V_per_m": 2807413.0717044487,
    "background_V_per_m": 1122965.2286817795,
    "peak_V_per_m": 4491860.914727118,
    "gain_per_sigma_m": 9159.200938280926,
    "quadrature_error_estimate": 8.716135994583436e-06,
    "samples": [
      {
        "gaussian_sigma_m": 5e-05,
        "above_breakdown_length_m": 0.00011774100225154747,
        "log_linear_gain": 0.45796004691404635,
        "drift_transit_s": 7.071926708839653e-10
      },
      {
        "gaussian_sigma_m": 0.0005,
        "above_breakdown_length_m": 0.0011774100225154748,
        "log_linear_gain": 4.5796004691404635,
        "drift_transit_s": 7.0719267088396526e-09
      },
      {
        "gaussian_sigma_m": 0.005,
        "above_breakdown_length_m": 0.011774100225154746,
        "log_linear_gain": 45.79600469140463,
        "drift_transit_s": 7.071926708839653e-08
      }
    ],
    "width_for_formal_Meek18_m": 0.001965236937293177,
    "uniform_field_screening": [
      {
        "uniform_seed_density_m3": 10000.0,
        "screening_time_s": 2.3461620817649887e-08
      },
      {
        "uniform_seed_density_m3": 10000000.0,
        "screening_time_s": 1.852648047501032e-08
      },
      {
        "uniform_seed_density_m3": 10000000000.0,
        "screening_time_s": 1.3591340136271206e-08
      },
      {
        "uniform_seed_density_m3": 10000000000000.0,
        "screening_time_s": 8.656203697979802e-09
      }
    ],
    "single_avalanche_time_to_formal_Meek18_s": 1.2859825309369107e-08,
    "limits": "Prescribed Gaussian field in bulk gas and seed at its above-breakdown entry; no surface, photoionization, diffusion in the path model, or self-consistent space charge. Meek18 is a reference for a single bulk avalanche near standard conditions, not a universal surface or lightning inception threshold. Screening-time formula is a separate uniform, preionized-volume model."
  },
  "photoelectric_threshold": {
    "source": "Pasko et al.2025 Section3 fit and AppendixA runaway multiplication length",
    "fit_domain_reduced_gap_m": [
      100,
      160
    ],
    "threshold_curve": [
      {
        "reduced_gap_m": 101.0,
        "threshold_reduced_kV_per_cm": 14.943898397383421
      },
      {
        "reduced_gap_m": 102.0,
        "threshold_reduced_kV_per_cm": 14.841629435571548
      },
      {
        "reduced_gap_m": 103.0,
        "threshold_reduced_kV_per_cm": 14.74104792233537
      },
      {
        "reduced_gap_m": 104.0,
        "threshold_reduced_kV_per_cm": 14.642110033366183
      },
      {
        "reduced_gap_m": 105.0,
        "threshold_reduced_kV_per_cm": 14.544773489634876
      },
      {
        "reduced_gap_m": 106.0,
        "threshold_reduced_kV_per_cm": 14.448997488819668
      },
      {
        "reduced_gap_m": 107.0,
        "threshold_reduced_kV_per_cm": 14.354742640390029
      },
      {
        "reduced_gap_m": 108.0,
        "threshold_reduced_kV_per_cm": 14.26197090411982
      },
      {
        "reduced_gap_m": 109.0,
        "threshold_reduced_kV_per_cm": 14.170645531818604
      },
      {
        "reduced_gap_m": 110.0,
        "threshold_reduced_kV_per_cm": 14.080731012084959
      },
      {
        "reduced_gap_m": 111.0,
        "threshold_reduced_kV_per_cm": 13.992193017899213
      },
      {
        "reduced_gap_m": 112.0,
        "threshold_reduced_kV_per_cm": 13.90499835688556
      },
      {
        "reduced_gap_m": 113.0,
        "threshold_reduced_kV_per_cm": 13.819114924085184
      },
      {
        "reduced_gap_m": 114.0,
        "threshold_reduced_kV_per_cm": 13.734511657092629
      },
      {
        "reduced_gap_m": 115.0,
        "threshold_reduced_kV_per_cm": 13.651158493417652
      },
      {
        "reduced_gap_m": 116.0,
        "threshold_reduced_kV_per_cm": 13.569026329943894
      },
      {
        "reduced_gap_m": 117.0,
        "threshold_reduced_kV_per_cm": 13.488086984364164
      },
      {
        "reduced_gap_m": 118.0,
        "threshold_reduced_kV_per_cm": 13.408313158480063
      },
      {
        "reduced_gap_m": 119.0,
        "threshold_reduced_kV_per_cm": 13.329678403260818
      },
      {
        "reduced_gap_m": 120.0,
        "threshold_reduced_kV_per_cm": 13.252157085563114
      },
      {
        "reduced_gap_m": 121.0,
        "threshold_reduced_kV_per_cm": 13.17572435641979
      },
      {
        "reduced_gap_m": 122.0,
        "threshold_reduced_kV_per_cm": 13.100356120811231
      },
      {
        "reduced_gap_m": 123.0,
        "threshold_reduced_kV_per_cm": 13.026029008838579
      },
      {
        "reduced_gap_m": 124.0,
        "threshold_reduced_kV_per_cm": 12.952720348223014
      },
      {
        "reduced_gap_m": 125.0,
        "threshold_reduced_kV_per_cm": 12.880408138059911
      },
      {
        "reduced_gap_m": 126.0,
        "threshold_reduced_kV_per_cm": 12.809071023761154
      },
      {
        "reduced_gap_m": 127.0,
        "threshold_reduced_kV_per_cm": 12.738688273122834
      },
      {
        "reduced_gap_m": 128.0,
        "threshold_reduced_kV_per_cm": 12.669239753459388
      },
      {
        "reduced_gap_m": 129.0,
        "threshold_reduced_kV_per_cm": 12.600705909748786
      },
      {
        "reduced_gap_m": 130.0,
        "threshold_reduced_kV_per_cm": 12.533067743736542
      },
      {
        "reduced_gap_m": 131.0,
        "threshold_reduced_kV_per_cm": 12.466306793949572
      },
      {
        "reduced_gap_m": 132.0,
        "threshold_reduced_kV_per_cm": 12.40040511657361
      },
      {
        "reduced_gap_m": 133.0,
        "threshold_reduced_kV_per_cm": 12.33534526715067
      },
      {
        "reduced_gap_m": 134.0,
        "threshold_reduced_kV_per_cm": 12.271110283055542
      },
      {
        "reduced_gap_m": 135.0,
        "threshold_reduced_kV_per_cm": 12.207683666712612
      },
      {
        "reduced_gap_m": 136.0,
        "threshold_reduced_kV_per_cm": 12.145049369516505
      },
      {
        "reduced_gap_m": 137.0,
        "threshold_reduced_kV_per_cm": 12.083191776422145
      },
      {
        "reduced_gap_m": 138.0,
        "threshold_reduced_kV_per_cm": 12.022095691171645
      },
      {
        "reduced_gap_m": 139.0,
        "threshold_reduced_kV_per_cm": 11.96174632212737
      },
      {
        "reduced_gap_m": 140.0,
        "threshold_reduced_kV_per_cm": 11.902129268682136
      },
      {
        "reduced_gap_m": 141.0,
        "threshold_reduced_kV_per_cm": 11.843230508219056
      },
      {
        "reduced_gap_m": 142.0,
        "threshold_reduced_kV_per_cm": 11.78503638359514
      },
      {
        "reduced_gap_m": 143.0,
        "threshold_reduced_kV_per_cm": 11.72753359112407
      },
      {
        "reduced_gap_m": 144.0,
        "threshold_reduced_kV_per_cm": 11.670709169034904
      },
      {
        "reduced_gap_m": 145.0,
        "threshold_reduced_kV_per_cm": 11.61455048638471
      },
      {
        "reduced_gap_m": 146.0,
        "threshold_reduced_kV_per_cm": 11.559045232404298
      },
      {
        "reduced_gap_m": 147.0,
        "threshold_reduced_kV_per_cm": 11.504181406257285
      },
      {
        "reduced_gap_m": 148.0,
        "threshold_reduced_kV_per_cm": 11.44994730719376
      },
      {
        "reduced_gap_m": 149.0,
        "threshold_reduced_kV_per_cm": 11.396331525080836
      },
      {
        "reduced_gap_m": 150.0,
        "threshold_reduced_kV_per_cm": 11.343322931293189
      },
      {
        "reduced_gap_m": 151.0,
        "threshold_reduced_kV_per_cm": 11.29091066994765
      },
      {
        "reduced_gap_m": 152.0,
        "threshold_reduced_kV_per_cm": 11.239084149466654
      },
      {
        "reduced_gap_m": 153.0,
        "threshold_reduced_kV_per_cm": 11.187833034456135
      },
      {
        "reduced_gap_m": 154.0,
        "threshold_reduced_kV_per_cm": 11.137147237884179
      },
      {
        "reduced_gap_m": 155.0,
        "threshold_reduced_kV_per_cm": 11.087016913547457
      },
      {
        "reduced_gap_m": 156.0,
        "threshold_reduced_kV_per_cm": 11.037432448813016
      },
      {
        "reduced_gap_m": 157.0,
        "threshold_reduced_kV_per_cm": 10.988384457623724
      },
      {
        "reduced_gap_m": 158.0,
        "threshold_reduced_kV_per_cm": 10.939863773756151
      },
      {
        "reduced_gap_m": 159.0,
        "threshold_reduced_kV_per_cm": 10.891861444320261
      }
    ],
    "reference_N0_m3": 2.688e+25,
    "example_density_ratio": 0.275,
    "example_physical_gap_m": 545.4545454545454,
    "example_applied_V_per_m": 343750.0,
    "example_feedback_threshold_V_per_m": 311941.3806105627,
    "example_relative_overdrive": 0.10196986153994159,
    "example_potential_difference_MV": 187.5,
    "example_runaway_length_m": 27.254060108269552,
    "limits": "Re-expresses the published fit only within100<d*delta<160m, not a new solution of photon feedback or the full time-dependent model. Source sea-level reference differs from the explicitly chosen1bar300K state. Not a universal lightning threshold; streamer space charge and VHF/optical emission are not explicitly simulated by the cited feedback model."
  },
  "plot_scopes": {
    "avalanche_gain.png": "Weak-ionization local-field drift diagnostic in chosen1bar300K dry80/20N2/O2; field prescribed, no self-consistent streamer. Formal gain ceases to approximate real electron multiplication once space charge matters;18 is a bulk reference, not a surface threshold.",
    "screening_time.png": "Separate uniform-field, uniformly preionized-volume formula from the review; not a simulation of individual avalanches or measured thundercloud density.",
    "photoelectric_threshold.png": "Published fit only for100<d*delta<160m; propagation and runaway criteria are different processes. No full time-dependent photon-feedback reproduction."
  }
}