{
  "id": "paper_eis_warburg",
  "title": "半无限扩散尾",
  "domain": "general",
  "type": "demo",
  "license": "MIT",
  "scope": "Paper-informed original analytic teaching model; no copied points or figure.",
  "data_status": "synthetic_demo",
  "not_experimental_data": true,
  "source_files": [
    "data.csv",
    "model.json"
  ],
  "test_conditions": "Declared analytic parameters in scientific_basis.parameters; no experimental cell or material is assigned.",
  "variables_and_units": {
    "1": [
      "Z′ (Ω)",
      "−Z″ (Ω)"
    ],
    "2": [
      "Frequency (Hz)",
      "|Z| (Ω)"
    ],
    "3": [
      "Z′ (Ω)",
      "−Z″ (Ω)"
    ]
  },
  "creator": "VoltPeer",
  "generator_version": "1.0.0",
  "reproduce": "python render_existing.py --output new-result-folder",
  "scientific_basis": {
    "schema_version": 1,
    "model_class": "analytic_model",
    "data_origin": "original_synthetic",
    "equations": [
      "Z=Rs+(1/R+Q(jω)^α)^−1",
      "Z_W=σ(1−j)/sqrt(ω)"
    ],
    "assumptions": [
      "Original explicitly idealised model; parameters are illustrative and do not describe the referenced experiment."
    ],
    "parameters": {
      "Rs_ohm": 4,
      "branches": [
        {
          "label": "RC + diffusion",
          "R_ohm": 35,
          "Q_S_s_alpha": 0.003,
          "alpha": 1
        }
      ],
      "frequency_Hz": [
        0.001,
        100000
      ],
      "Warburg_sigma_ohm_s_minus_half": 8
    },
    "references": [
      {
        "title": "Probing process kinetics in batteries with electrochemical impedance spectroscopy",
        "doi": "10.1038/s43246-022-00284-w",
        "url": "https://www.nature.com/articles/s43246-022-00284-w",
        "figure_panel": "Figures 1, 3, 7–8; linearised charge-transfer equation",
        "supports": "Equivalent-circuit / relaxation representations; small-signal, steady-state constraints.",
        "checked_at": "2026-10-02",
        "scope": "Publisher caption / equation / measurement caveat checked. Original analytic teaching inputs; no paper points, images or material inference copied.",
        "support_level": "equation and conditions",
        "formula_scope": "The listed equations are declared teaching assumptions. A plot-form reference does not independently verify every analytic line shape, parameter or inference."
      }
    ],
    "limitations": [
      "Passive lumped circuit, not a unique battery mechanism. Q is a capacitance only when α=1. Finite-diffusion low-frequency limits depend on the declared boundary. The complete equal-scale Nyquist and frequency record are retained alongside any declared zoom. No Kramers–Kronig or measured-data fit is claimed."
    ],
    "validation_scope": "Analytic consistency / dimensional accounting / original synthetic redraw only. Not validation of an actual material or author-supplied measurement."
  },
  "reference": {
    "doi": "10.1038/s43246-022-00284-w",
    "figure_panel": "Figures 1, 3, 7–8; linearised charge-transfer equation",
    "observation": "Equivalent-circuit / relaxation representations; small-signal, steady-state constraints.",
    "review_scope": "Publisher caption / equation / measurement caveat checked. Original analytic teaching inputs; no paper points, images or material inference copied.",
    "default_template": false
  },
  "review": {
    "science": "Analytic consistency and units checked; no material validation.",
    "display": "Actual artist, frame and text-bound checks; inspect exported figure at final size."
  },
  "actual_artist_checks": [
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}