{
  "schema_version": 1,
  "experiment": "microwave-debye-relaxation",
  "provenance": {
    "generated_at": "2026-07-20T18:00:20Z",
    "generator": "research/microwave-debye-relaxation/generate-metrics.mjs",
    "inputs": [
      {
        "path": "research/microwave-debye-relaxation/inputs.json",
        "sha256": "70a25b140b760eb94a6d24b7a464a6dc8a9f66116d1afec858d9892ecc8132bd"
      },
      {
        "path": "research/microwave-debye-relaxation/calculate.py",
        "sha256": "cb6400098155f97f2a357e1fc2375cf3345a443ad4e9b32499e5ea2202d2476b"
      },
      {
        "path": "research/microwave-debye-relaxation/results.json",
        "sha256": "c5793fda777791ed79fc7055c2392451a89c1aed74d126f2c1623d3f56db2be1"
      }
    ]
  },
  "metrics": {
    "water_temperature_c": {
      "type": "integer",
      "value": 25,
      "description": "Temperature assigned to the liquid-water Debye parameters",
      "unit": "°C"
    },
    "ice_temperature_c": {
      "type": "integer",
      "value": -10,
      "description": "Temperature assigned to the ice Debye parameters",
      "unit": "°C"
    },
    "room_temperature_k": {
      "type": "number",
      "value": 298.15,
      "format": {
        "style": "fixed",
        "digits": 2
      },
      "description": "Temperature used for the kBT comparison",
      "unit": "K"
    },
    "water_static_relative_permittivity": {
      "type": "number",
      "value": 78.4,
      "format": {
        "style": "fixed",
        "digits": 1
      },
      "description": "Selected static relative permittivity of liquid water",
      "unit": "relative permittivity"
    },
    "water_high_frequency_relative_permittivity": {
      "type": "number",
      "value": 5.2,
      "format": {
        "style": "fixed",
        "digits": 1
      },
      "description": "Selected effective one-pole background relative permittivity of liquid water",
      "unit": "relative permittivity"
    },
    "water_relaxation_time_ps": {
      "type": "number",
      "value": 8.299999999999999,
      "format": {
        "style": "fixed",
        "digits": 1
      },
      "description": "Selected liquid-water relaxation time",
      "unit": "ps"
    },
    "ice_static_relative_permittivity": {
      "type": "number",
      "value": 97,
      "format": {
        "style": "fixed",
        "digits": 1
      },
      "description": "Selected approximate static relative permittivity of ice",
      "unit": "relative permittivity"
    },
    "ice_high_frequency_relative_permittivity": {
      "type": "number",
      "value": 3.2,
      "format": {
        "style": "fixed",
        "digits": 1
      },
      "description": "Selected approximate high-frequency relative permittivity of ice",
      "unit": "relative permittivity"
    },
    "ice_relaxation_frequency_khz": {
      "type": "number",
      "value": 2.8,
      "format": {
        "style": "fixed",
        "digits": 2
      },
      "description": "Selected dielectric relaxation frequency of ice at minus 10 degrees Celsius",
      "unit": "kHz"
    },
    "ice_relaxation_time_s": {
      "type": "number",
      "value": 0.00005684105110424834,
      "format": {
        "style": "scientific",
        "digits": 2
      },
      "description": "Ice relaxation time derived from the selected relaxation frequency",
      "unit": "s"
    },
    "industrial_frequency_mhz": {
      "type": "number",
      "value": 915,
      "format": {
        "style": "fixed",
        "digits": 0
      },
      "description": "Selected industrial ISM evaluation frequency",
      "unit": "MHz"
    },
    "oven_frequency_ghz": {
      "type": "number",
      "value": 2.45,
      "format": {
        "style": "fixed",
        "digits": 2
      },
      "description": "Selected kitchen-microwave ISM evaluation frequency",
      "unit": "GHz"
    },
    "high_evaluation_frequency_ghz": {
      "type": "number",
      "value": 60,
      "format": {
        "style": "fixed",
        "digits": 0
      },
      "description": "Selected single-Debye extrapolation frequency above the liquid-water dielectric-loss-factor peak",
      "unit": "GHz"
    },
    "speed_of_light_m_per_s": {
      "type": "integer",
      "value": 299800000,
      "description": "Speed of light used by the attenuation calculation",
      "unit": "m/s"
    },
    "planck_constant_j_s": {
      "type": "number",
      "value": 6.62607015e-34,
      "format": {
        "style": "scientific",
        "digits": 8
      },
      "description": "Planck constant used by the photon-energy comparison",
      "unit": "J s"
    },
    "elementary_charge_c": {
      "type": "number",
      "value": 1.602176634e-19,
      "format": {
        "style": "scientific",
        "digits": 8
      },
      "description": "Elementary charge used to convert joules to electronvolts",
      "unit": "C"
    },
    "boltzmann_constant_j_per_k": {
      "type": "number",
      "value": 1.380649e-23,
      "format": {
        "style": "scientific",
        "digits": 6
      },
      "description": "Boltzmann constant used by the thermal-energy comparison",
      "unit": "J/K"
    },
    "water_dielectric_loss_peak_frequency_ghz": {
      "type": "number",
      "value": 19.175294348421122,
      "format": {
        "style": "fixed",
        "digits": 1
      },
      "description": "Frequency of the liquid-water Debye dielectric-loss-factor maximum",
      "unit": "GHz"
    },
    "photon_energy_microev": {
      "type": "number",
      "value": 10.132385857463456,
      "format": {
        "style": "fixed",
        "digits": 0
      },
      "description": "Photon energy at the selected oven frequency",
      "unit": "μeV"
    },
    "thermal_energy_mev": {
      "type": "number",
      "value": 25.69257912108585,
      "format": {
        "style": "fixed",
        "digits": 1
      },
      "description": "kBT at the selected room temperature",
      "unit": "meV"
    },
    "photon_to_thermal_energy_ratio": {
      "type": "number",
      "value": 0.00039437013348137657,
      "format": {
        "style": "scientific",
        "digits": 1
      },
      "description": "Photon energy divided by kBT at the selected oven frequency and temperature",
      "unit": "ratio"
    },
    "thermal_to_photon_energy_ratio": {
      "type": "number",
      "value": 2535.688976171476,
      "format": {
        "style": "scientific",
        "digits": 1
      },
      "description": "kBT divided by photon energy at the selected oven frequency and temperature",
      "unit": "ratio"
    },
    "photon_energy_orders_below_kbt": {
      "type": "number",
      "value": 3.4040959825629145,
      "format": {
        "style": "fixed",
        "digits": 1
      },
      "description": "Base-10 orders by which photon energy is below kBT",
      "unit": "orders of magnitude"
    },
    "ice_to_water_relaxation_ratio": {
      "type": "number",
      "value": 6848319.410150403,
      "format": {
        "style": "scientific",
        "digits": 1
      },
      "description": "Ice relaxation time divided by liquid-water relaxation time",
      "unit": "ratio"
    },
    "ice_to_water_relaxation_orders": {
      "type": "number",
      "value": 6.835584007923592,
      "format": {
        "style": "fixed",
        "digits": 1
      },
      "description": "Base-10 orders separating the selected ice and water relaxation times",
      "unit": "orders of magnitude"
    },
    "water_oven_loss_angle_deg": {
      "type": "number",
      "value": 6.79561151998996,
      "format": {
        "style": "fixed",
        "digits": 1
      },
      "description": "Liquid-water dielectric loss angle at the oven frequency",
      "unit": "degrees"
    },
    "water_dielectric_loss_peak_penetration_depth_mm": {
      "type": "number",
      "value": 0.474352987471582,
      "format": {
        "style": "fixed",
        "digits": 1
      },
      "description": "Liquid-water 1/e power penetration depth at the Debye dielectric-loss-factor peak",
      "unit": "mm"
    },
    "water_0915_frequency_ghz": {
      "type": "number",
      "value": 0.915,
      "format": {
        "style": "fixed",
        "digits": 3
      },
      "description": "Display frequency for the 915 MHz liquid-water row",
      "unit": "GHz"
    },
    "water_0915_relative_permittivity_real": {
      "type": "number",
      "value": 78.23370413999116,
      "format": {
        "style": "fixed",
        "digits": 1
      },
      "description": "Real relative permittivity of liquid water at 915 MHz",
      "unit": "relative permittivity"
    },
    "water_0915_relative_permittivity_loss": {
      "type": "number",
      "value": 3.484996791905532,
      "format": {
        "style": "fixed",
        "digits": 1
      },
      "description": "Loss relative permittivity of liquid water at 915 MHz",
      "unit": "relative permittivity"
    },
    "water_0915_loss_tangent": {
      "type": "number",
      "value": 0.04454597708513825,
      "format": {
        "style": "fixed",
        "digits": 3
      },
      "description": "Loss tangent of liquid water at 915 MHz",
      "unit": "ratio"
    },
    "water_0915_penetration_depth_cm": {
      "type": "number",
      "value": 13.238319969083696,
      "format": {
        "style": "fixed",
        "digits": 1
      },
      "description": "Liquid-water 1/e power penetration depth at 915 MHz",
      "unit": "cm"
    },
    "water_245_relative_permittivity_real": {
      "type": "number",
      "value": 77.22421844077682,
      "format": {
        "style": "fixed",
        "digits": 1
      },
      "description": "Real relative permittivity of liquid water at 2.45 GHz",
      "unit": "relative permittivity"
    },
    "water_245_relative_permittivity_loss": {
      "type": "number",
      "value": 9.202431627571482,
      "format": {
        "style": "fixed",
        "digits": 1
      },
      "description": "Loss relative permittivity of liquid water at 2.45 GHz",
      "unit": "relative permittivity"
    },
    "water_245_loss_tangent": {
      "type": "number",
      "value": 0.11916509889483462,
      "format": {
        "style": "fixed",
        "digits": 3
      },
      "description": "Loss tangent of liquid water at 2.45 GHz",
      "unit": "ratio"
    },
    "water_245_penetration_depth_cm": {
      "type": "number",
      "value": 1.8630591966381522,
      "format": {
        "style": "fixed",
        "digits": 1
      },
      "description": "Liquid-water 1/e power penetration depth at 2.45 GHz",
      "unit": "cm"
    },
    "water_dielectric_loss_peak_relative_permittivity_real": {
      "type": "number",
      "value": 41.80000000000001,
      "format": {
        "style": "fixed",
        "digits": 1
      },
      "description": "Real relative permittivity of liquid water at its Debye dielectric-loss-factor peak",
      "unit": "relative permittivity"
    },
    "water_dielectric_loss_peak_relative_permittivity_loss": {
      "type": "number",
      "value": 36.6,
      "format": {
        "style": "fixed",
        "digits": 1
      },
      "description": "Loss relative permittivity of liquid water at its Debye dielectric-loss-factor peak",
      "unit": "relative permittivity"
    },
    "water_dielectric_loss_peak_loss_tangent": {
      "type": "number",
      "value": 0.8755980861244017,
      "format": {
        "style": "fixed",
        "digits": 3
      },
      "description": "Loss tangent of liquid water at its Debye dielectric-loss-factor peak",
      "unit": "ratio"
    },
    "water_dielectric_loss_peak_penetration_depth_cm": {
      "type": "number",
      "value": 0.0474352987471582,
      "format": {
        "style": "fixed",
        "digits": 2
      },
      "description": "Liquid-water 1/e power penetration depth at its Debye dielectric-loss-factor peak",
      "unit": "cm"
    },
    "water_60_relative_permittivity_real": {
      "type": "number",
      "value": 11.983552918150224,
      "format": {
        "style": "fixed",
        "digits": 1
      },
      "description": "Real relative permittivity of liquid water at 60 GHz",
      "unit": "relative permittivity"
    },
    "water_60_relative_permittivity_loss": {
      "type": "number",
      "value": 21.22591537284675,
      "format": {
        "style": "fixed",
        "digits": 1
      },
      "description": "Loss relative permittivity of liquid water at 60 GHz",
      "unit": "relative permittivity"
    },
    "water_60_loss_tangent": {
      "type": "number",
      "value": 1.7712539442870983,
      "format": {
        "style": "fixed",
        "digits": 3
      },
      "description": "Loss tangent of liquid water at 60 GHz",
      "unit": "ratio"
    },
    "water_60_penetration_depth_cm": {
      "type": "number",
      "value": 0.01597433976532108,
      "format": {
        "style": "fixed",
        "digits": 2
      },
      "description": "Liquid-water 1/e power penetration depth at 60 GHz",
      "unit": "cm"
    },
    "ice_245_relative_permittivity_real": {
      "type": "number",
      "value": 3.2000000001225146,
      "format": {
        "style": "fixed",
        "digits": 2
      },
      "description": "Real relative permittivity of ice at 2.45 GHz",
      "unit": "relative permittivity"
    },
    "ice_245_relative_permittivity_loss": {
      "type": "number",
      "value": 0.00010719999999985997,
      "format": {
        "style": "scientific",
        "digits": 2
      },
      "description": "Loss relative permittivity of ice at 2.45 GHz",
      "unit": "relative permittivity"
    },
    "ice_245_loss_tangent": {
      "type": "number",
      "value": 0.00003349999999867366,
      "format": {
        "style": "scientific",
        "digits": 0
      },
      "description": "Loss tangent of ice at 2.45 GHz",
      "unit": "ratio"
    },
    "ice_245_penetration_depth_m": {
      "type": "number",
      "value": 324.98691829236583,
      "format": {
        "style": "fixed",
        "digits": 0
      },
      "description": "Ice 1/e power penetration depth at 2.45 GHz",
      "unit": "m"
    },
    "ice_245_omega_tau": {
      "type": "number",
      "value": 875000.0000000001,
      "format": {
        "style": "scientific",
        "digits": 2
      },
      "description": "Dimensionless omega tau for ice at 2.45 GHz",
      "unit": "dimensionless"
    },
    "peak_condition_absolute_tolerance": {
      "type": "number",
      "value": 1e-12,
      "format": {
        "style": "scientific",
        "digits": 0
      },
      "description": "Absolute tolerance used by the omega tau peak-condition check",
      "unit": "dimensionless"
    },
    "peak_loss_relative_tolerance": {
      "type": "number",
      "value": 1e-12,
      "format": {
        "style": "scientific",
        "digits": 0
      },
      "description": "Relative tolerance used by the peak-loss identity check",
      "unit": "fraction"
    },
    "water_dielectric_loss_peak_condition_within_tolerance": {
      "type": "boolean",
      "value": true,
      "description": "Whether the computed dielectric-loss-factor peak satisfies omega tau equals one within tolerance"
    },
    "water_dielectric_loss_peak_identity_within_tolerance": {
      "type": "boolean",
      "value": true,
      "description": "Whether dielectric loss at its peak equals half the dielectric strength within tolerance"
    },
    "water_oven_rows_match": {
      "type": "boolean",
      "value": true,
      "description": "Whether independent liquid-water evaluations at 2.45 GHz match exactly"
    },
    "all_evaluations_physical": {
      "type": "boolean",
      "value": true,
      "description": "Whether every evaluated row has finite, positive loss and attenuation quantities"
    },
    "ice_relaxation_slower_than_water": {
      "type": "boolean",
      "value": true,
      "description": "Whether the selected ice relaxation time exceeds the liquid-water value"
    }
  }
}