{
  "reservoir_plate_mAh_cm2": 2.0,
  "partial_strip_mAh_cm2": 0.25,
  "partial_plate_mAh_cm2": 0.25,
  "partial_cycles": 10,
  "final_strip_mAh_cm2": 1.9775000000000003,
  "CE_reservoir_demo_pct": 99.5,
  "final_active_inventory_mAh_cm2": 0.0,
  "final_trapped_inventory_mAh_cm2": 0.05250000000000005,
  "all_plated_mAh_cm2": 5.5,
  "all_stripped_mAh_cm2": 5.4475,
  "excluded_formation": true,
  "stage_intervals": [
    {
      "stage": "formation plate",
      "start_h": 0.0,
      "end_h": 2.0,
      "current_mA_cm2": -0.5,
      "passed_mAh_cm2": 1.0,
      "deposit_recovery": 0.97,
      "active_before_mAh_cm2": 0.0,
      "trapped_before_mAh_cm2": 0.0,
      "active_after_mAh_cm2": 0.97,
      "trapped_after_mAh_cm2": 0.030000000000000027
    },
    {
      "stage": "formation strip",
      "start_h": 2.0,
      "end_h": 3.94,
      "current_mA_cm2": 0.5,
      "passed_mAh_cm2": 0.97,
      "deposit_recovery": null,
      "active_before_mAh_cm2": 0.97,
      "trapped_before_mAh_cm2": 0.030000000000000027,
      "active_after_mAh_cm2": 0.0,
      "trapped_after_mAh_cm2": 0.030000000000000027
    },
    {
      "stage": "reservoir plate",
      "start_h": 3.94,
      "end_h": 7.9399999999999995,
      "current_mA_cm2": -0.5,
      "passed_mAh_cm2": 2.0,
      "deposit_recovery": 0.995,
      "active_before_mAh_cm2": 0.0,
      "trapped_before_mAh_cm2": 0.030000000000000027,
      "active_after_mAh_cm2": 1.99,
      "trapped_after_mAh_cm2": 0.040000000000000036
    },
    {
      "stage": "partial cycles",
      "start_h": 7.9399999999999995,
      "end_h": 8.44,
      "current_mA_cm2": 0.5,
      "passed_mAh_cm2": 0.25,
      "deposit_recovery": null,
      "active_before_mAh_cm2": 1.99,
      "trapped_before_mAh_cm2": 0.040000000000000036,
      "active_after_mAh_cm2": 1.74,
      "trapped_after_mAh_cm2": 0.040000000000000036
    },
    {
      "stage": "partial cycles",
      "start_h": 8.44,
      "end_h": 8.94,
      "current_mA_cm2": -0.5,
      "passed_mAh_cm2": 0.25,
      "deposit_recovery": 0.995,
      "active_before_mAh_cm2": 1.74,
      "trapped_before_mAh_cm2": 0.040000000000000036,
      "active_after_mAh_cm2": 1.98875,
      "trapped_after_mAh_cm2": 0.04125000000000004
    },
    {
      "stage": "partial cycles",
      "start_h": 8.94,
      "end_h": 9.44,
      "current_mA_cm2": 0.5,
      "passed_mAh_cm2": 0.25,
      "deposit_recovery": null,
      "active_before_mAh_cm2": 1.98875,
      "trapped_before_mAh_cm2": 0.04125000000000004,
      "active_after_mAh_cm2": 1.73875,
      "trapped_after_mAh_cm2": 0.04125000000000004
    },
    {
      "stage": "partial cycles",
      "start_h": 9.44,
      "end_h": 9.94,
      "current_mA_cm2": -0.5,
      "passed_mAh_cm2": 0.25,
      "deposit_recovery": 0.995,
      "active_before_mAh_cm2": 1.73875,
      "trapped_before_mAh_cm2": 0.04125000000000004,
      "active_after_mAh_cm2": 1.9875,
      "trapped_after_mAh_cm2": 0.04250000000000004
    },
    {
      "stage": "partial cycles",
      "start_h": 9.94,
      "end_h": 10.44,
      "current_mA_cm2": 0.5,
      "passed_mAh_cm2": 0.25,
      "deposit_recovery": null,
      "active_before_mAh_cm2": 1.9875,
      "trapped_before_mAh_cm2": 0.04250000000000004,
      "active_after_mAh_cm2": 1.7375,
      "trapped_after_mAh_cm2": 0.04250000000000004
    },
    {
      "stage": "partial cycles",
      "start_h": 10.44,
      "end_h": 10.94,
      "current_mA_cm2": -0.5,
      "passed_mAh_cm2": 0.25,
      "deposit_recovery": 0.995,
      "active_before_mAh_cm2": 1.7375,
      "trapped_before_mAh_cm2": 0.04250000000000004,
      "active_after_mAh_cm2": 1.98625,
      "trapped_after_mAh_cm2": 0.04375000000000004
    },
    {
      "stage": "partial cycles",
      "start_h": 10.94,
      "end_h": 11.44,
      "current_mA_cm2": 0.5,
      "passed_mAh_cm2": 0.25,
      "deposit_recovery": null,
      "active_before_mAh_cm2": 1.98625,
      "trapped_before_mAh_cm2": 0.04375000000000004,
      "active_after_mAh_cm2": 1.73625,
      "trapped_after_mAh_cm2": 0.04375000000000004
    },
    {
      "stage": "partial cycles",
      "start_h": 11.44,
      "end_h": 11.94,
      "current_mA_cm2": -0.5,
      "passed_mAh_cm2": 0.25,
      "deposit_recovery": 0.995,
      "active_before_mAh_cm2": 1.73625,
      "trapped_before_mAh_cm2": 0.04375000000000004,
      "active_after_mAh_cm2": 1.985,
      "trapped_after_mAh_cm2": 0.04500000000000004
    },
    {
      "stage": "partial cycles",
      "start_h": 11.94,
      "end_h": 12.44,
      "current_mA_cm2": 0.5,
      "passed_mAh_cm2": 0.25,
      "deposit_recovery": null,
      "active_before_mAh_cm2": 1.985,
      "trapped_before_mAh_cm2": 0.04500000000000004,
      "active_after_mAh_cm2": 1.735,
      "trapped_after_mAh_cm2": 0.04500000000000004
    },
    {
      "stage": "partial cycles",
      "start_h": 12.44,
      "end_h": 12.94,
      "current_mA_cm2": -0.5,
      "passed_mAh_cm2": 0.25,
      "deposit_recovery": 0.995,
      "active_before_mAh_cm2": 1.735,
      "trapped_before_mAh_cm2": 0.04500000000000004,
      "active_after_mAh_cm2": 1.9837500000000001,
      "trapped_after_mAh_cm2": 0.04625000000000004
    },
    {
      "stage": "partial cycles",
      "start_h": 12.94,
      "end_h": 13.44,
      "current_mA_cm2": 0.5,
      "passed_mAh_cm2": 0.25,
      "deposit_recovery": null,
      "active_before_mAh_cm2": 1.9837500000000001,
      "trapped_before_mAh_cm2": 0.04625000000000004,
      "active_after_mAh_cm2": 1.7337500000000001,
      "trapped_after_mAh_cm2": 0.04625000000000004
    },
    {
      "stage": "partial cycles",
      "start_h": 13.44,
      "end_h": 13.94,
      "current_mA_cm2": -0.5,
      "passed_mAh_cm2": 0.25,
      "deposit_recovery": 0.995,
      "active_before_mAh_cm2": 1.7337500000000001,
      "trapped_before_mAh_cm2": 0.04625000000000004,
      "active_after_mAh_cm2": 1.9825000000000002,
      "trapped_after_mAh_cm2": 0.04750000000000004
    },
    {
      "stage": "partial cycles",
      "start_h": 13.94,
      "end_h": 14.44,
      "current_mA_cm2": 0.5,
      "passed_mAh_cm2": 0.25,
      "deposit_recovery": null,
      "active_before_mAh_cm2": 1.9825000000000002,
      "trapped_before_mAh_cm2": 0.04750000000000004,
      "active_after_mAh_cm2": 1.7325000000000002,
      "trapped_after_mAh_cm2": 0.04750000000000004
    },
    {
      "stage": "partial cycles",
      "start_h": 14.44,
      "end_h": 14.94,
      "current_mA_cm2": -0.5,
      "passed_mAh_cm2": 0.25,
      "deposit_recovery": 0.995,
      "active_before_mAh_cm2": 1.7325000000000002,
      "trapped_before_mAh_cm2": 0.04750000000000004,
      "active_after_mAh_cm2": 1.9812500000000002,
      "trapped_after_mAh_cm2": 0.04875000000000004
    },
    {
      "stage": "partial cycles",
      "start_h": 14.94,
      "end_h": 15.44,
      "current_mA_cm2": 0.5,
      "passed_mAh_cm2": 0.25,
      "deposit_recovery": null,
      "active_before_mAh_cm2": 1.9812500000000002,
      "trapped_before_mAh_cm2": 0.04875000000000004,
      "active_after_mAh_cm2": 1.7312500000000002,
      "trapped_after_mAh_cm2": 0.04875000000000004
    },
    {
      "stage": "partial cycles",
      "start_h": 15.44,
      "end_h": 15.94,
      "current_mA_cm2": -0.5,
      "passed_mAh_cm2": 0.25,
      "deposit_recovery": 0.995,
      "active_before_mAh_cm2": 1.7312500000000002,
      "trapped_before_mAh_cm2": 0.04875000000000004,
      "active_after_mAh_cm2": 1.9800000000000002,
      "trapped_after_mAh_cm2": 0.050000000000000044
    },
    {
      "stage": "partial cycles",
      "start_h": 15.94,
      "end_h": 16.439999999999998,
      "current_mA_cm2": 0.5,
      "passed_mAh_cm2": 0.25,
      "deposit_recovery": null,
      "active_before_mAh_cm2": 1.9800000000000002,
      "trapped_before_mAh_cm2": 0.050000000000000044,
      "active_after_mAh_cm2": 1.7300000000000002,
      "trapped_after_mAh_cm2": 0.050000000000000044
    },
    {
      "stage": "partial cycles",
      "start_h": 16.439999999999998,
      "end_h": 16.939999999999998,
      "current_mA_cm2": -0.5,
      "passed_mAh_cm2": 0.25,
      "deposit_recovery": 0.995,
      "active_before_mAh_cm2": 1.7300000000000002,
      "trapped_before_mAh_cm2": 0.050000000000000044,
      "active_after_mAh_cm2": 1.9787500000000002,
      "trapped_after_mAh_cm2": 0.051250000000000046
    },
    {
      "stage": "partial cycles",
      "start_h": 16.939999999999998,
      "end_h": 17.439999999999998,
      "current_mA_cm2": 0.5,
      "passed_mAh_cm2": 0.25,
      "deposit_recovery": null,
      "active_before_mAh_cm2": 1.9787500000000002,
      "trapped_before_mAh_cm2": 0.051250000000000046,
      "active_after_mAh_cm2": 1.7287500000000002,
      "trapped_after_mAh_cm2": 0.051250000000000046
    },
    {
      "stage": "partial cycles",
      "start_h": 17.439999999999998,
      "end_h": 17.939999999999998,
      "current_mA_cm2": -0.5,
      "passed_mAh_cm2": 0.25,
      "deposit_recovery": 0.995,
      "active_before_mAh_cm2": 1.7287500000000002,
      "trapped_before_mAh_cm2": 0.051250000000000046,
      "active_after_mAh_cm2": 1.9775000000000003,
      "trapped_after_mAh_cm2": 0.05250000000000005
    },
    {
      "stage": "final strip",
      "start_h": 17.939999999999998,
      "end_h": 21.895,
      "current_mA_cm2": 0.5,
      "passed_mAh_cm2": 1.9775000000000003,
      "deposit_recovery": null,
      "active_before_mAh_cm2": 1.9775000000000003,
      "trapped_before_mAh_cm2": 0.05250000000000005,
      "active_after_mAh_cm2": 0.0,
      "trapped_after_mAh_cm2": 0.05250000000000005
    }
  ],
  "sampling": "Right-continuous stage current; transition endpoint belongs to the new stage. Final endpoint included; stage charge comes from exact intervals, not trapezoidal interpolation across jumps.",
  "scientific_basis": {
    "schema_version": 1,
    "model_class": "analytic_model",
    "data_origin": "original_synthetic",
    "parameter_origin": "Explicit original teaching parameters, not measured values",
    "validation_scope": "Declared teaching model; no experimental/material certification",
    "equations": [
      "Qstage=abs(j)*duration_h; plated/stripped charge integrates the zero-order-hold current",
      "Plating: active_new=active_old+eta*Qplate; trapped_new=trapped_old+(1-eta)*Qplate",
      "Stripping: active_new=active_old-Qstrip; trapped inventory is not recovered",
      "After conditioning: CE_reservoir_demo=100*(n*Qc+Qfinal)/(n*Qc+Qreservoir)"
    ],
    "assumptions": [
      "Formation is excluded from the reservoir metric and ends with no recoverable active Li.",
      "Reservoir and subsequent deposits share eta=0.995; stripping recovers available active Li exactly.",
      "Partial strips remove Qc before redepositing Qc, always leaving positive active inventory.",
      "No calendar corrosion, crossover or additional parasitic stripping process is simulated."
    ],
    "parameters": {
      "formation_plate_mAh_cm2": 1,
      "formation_recovery": 0.97,
      "reservoir_plate_mAh_cm2": 2,
      "Qc_mAh_cm2": 0.25,
      "n": 10,
      "j_mA_cm2": 0.5,
      "deposit_recovery": 0.995,
      "final_cutoff_V": 1
    },
    "references": [
      {
        "url": "https://www.nature.com/articles/s41467-025-66197-7",
        "title": "De-solvation of heteroalkali cations enabling stable solid electrolyte interphase for dendrite-free lithium metal batteries",
        "supports": "Fig. 4c caption/Methods define stage grammar; no times, efficiencies, capacities or curve artwork copied.",
        "scope": "model_definition_only",
        "checked_date": "2026-10-01"
      },
      {
        "url": "https://www.nature.com/articles/s41560-020-0648-z",
        "title": "Understanding and applying coulombic efficiency in lithium metal batteries",
        "supports": "Protocol and cell-configuration boundaries of reservoir versus cycle-by-cycle efficiency.",
        "scope": "model_definition_only",
        "checked_date": "2026-10-01"
      }
    ],
    "limitations": [
      "The reservoir result is an algebraic check of the chosen ledger, not measured electrolyte CE or a universal protocol.",
      "Voltage is an explicit bounded display relation, not SEI or nucleation physics."
    ]
  }
}