{
  "id": "paper_tafel_branch",
  "title": "Tafel 单支路与适用区间",
  "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": [
      "Overpotential (V)",
      "Current density (mA cm⁻²)"
    ],
    "2": [
      "log₁₀ [j / (1 mA cm⁻²)]",
      "Overpotential (V)"
    ]
  },
  "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": [
      "j=j0*[exp(αnFη/RT)−exp(−(1−α)nFη/RT)]",
      "Tafel: η=RT/(αnF)*ln(j/j0), positive high-overpotential branch only"
    ],
    "assumptions": [
      "No ohmic drop or mass-transfer limitation. η is overpotential relative to equilibrium, not a reference-electrode absolute potential."
    ],
    "parameters": {
      "j0_mA_cm2": 0.1,
      "alpha": 0.5,
      "n": 1,
      "T_K": 298.15
    },
    "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": [
      "A teaching representation cannot establish a material identity or electrochemical mechanism. Author data require verified units, conditions and model applicability."
    ],
    "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": [
    {
      "panel_index": 0,
      "spines": {
        "left": true,
        "right": true,
        "top": true,
        "bottom": true
      },
      "continuous_curves": [
        {
          "label": "Butler–Volmer",
          "linestyle": "-",
          "marker": "None",
          "points": 401
        }
      ]
    },
    {
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      "spines": {
        "left": true,
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      },
      "continuous_curves": [
        {
          "label": "Exact positive branch",
          "linestyle": "-",
          "marker": "None",
          "points": 110
        },
        {
          "label": "High-η approximation",
          "linestyle": "-",
          "marker": "None",
          "points": 110
        }
      ]
    }
  ],
  "data_frame_checks": [
    {
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      "spines": {
        "left": true,
        "right": true,
        "top": true,
        "bottom": true
      },
      "continuous_curves": [
        {
          "label": "Butler–Volmer",
          "linestyle": "-",
          "marker": "None",
          "points": 401
        }
      ]
    },
    {
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      "spines": {
        "left": true,
        "right": true,
        "top": true,
        "bottom": true
      },
      "continuous_curves": [
        {
          "label": "Exact positive branch",
          "linestyle": "-",
          "marker": "None",
          "points": 110
        },
        {
          "label": "High-η approximation",
          "linestyle": "-",
          "marker": "None",
          "points": 110
        }
      ]
    }
  ],
  "continuous_curve_style_checks": [
    {
      "panel_index": 0,
      "label": "Butler–Volmer",
      "points": 401,
      "line_style": "-",
      "marker": "None",
      "colour": "#287d8e"
    },
    {
      "panel_index": 1,
      "label": "Exact positive branch",
      "points": 110,
      "line_style": "-",
      "marker": "None",
      "colour": "#287d8e"
    },
    {
      "panel_index": 1,
      "label": "High-η approximation",
      "points": 110,
      "line_style": "-",
      "marker": "None",
      "colour": "#ba5574"
    }
  ],
  "curve_style_check": "Actual matplotlib artists checked: solid, unmarked continuous traces.",
  "data_frame_check": "All four spines visible on every data axis."
}