{
  "id": "paper_rate_tau",
  "title": "特征时间与倍率容量",
  "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": [
      "Measured inverse discharge time R (h⁻¹)",
      "Specific capacity (mAh g⁻¹)"
    ],
    "2": [
      "Measured R (h⁻¹)",
      "Normalised capacity"
    ]
  },
  "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": [
      "Q=Q0*[1−(Rτ)^n*(1−exp(−(Rτ)^−n))]",
      "R=I/Qmeasured is measured inverse time; not nominal C-rate"
    ],
    "assumptions": [
      "Original explicitly idealised model; parameters are illustrative and do not describe the referenced experiment."
    ],
    "parameters": {
      "Q0_mAh_g": 170,
      "cases": [
        {
          "tau_h": 0.03,
          "n": 0.7
        },
        {
          "tau_h": 0.08,
          "n": 0.7
        },
        {
          "tau_h": 0.2,
          "n": 0.7
        }
      ],
      "return_protocol_h_minus1": null
    },
    "references": [
      {
        "title": "Quantifying the factors limiting rate performance in battery electrodes",
        "doi": "10.1038/s41467-019-09792-9",
        "url": "https://www.nature.com/articles/s41467-019-09792-9",
        "figure_panel": "Figure 1; Equations 2, 4, 5b",
        "supports": "Rate-dependent capacity and length-scale / characteristic-time model. R is measured inverse discharge time, not nominal C-rate.",
        "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": [
      "Semi-empirical forward model, no fit; rate recovery assumes no permanent degradation. Values of τ/n do not uniquely establish a mechanism."
    ],
    "validation_scope": "Analytic consistency / dimensional accounting / original synthetic redraw only. Not validation of an actual material or author-supplied measurement."
  },
  "reference": {
    "doi": "10.1038/s41467-019-09792-9",
    "figure_panel": "Figure 1; Equations 2, 4, 5b",
    "observation": "Rate-dependent capacity and length-scale / characteristic-time model. R is measured inverse discharge time, not nominal C-rate.",
    "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": "τ = 0.03 h, n = 0.7",
          "linestyle": "-",
          "marker": "None",
          "points": 180
        },
        {
          "label": "τ = 0.08 h, n = 0.7",
          "linestyle": "-",
          "marker": "None",
          "points": 180
        },
        {
          "label": "τ = 0.2 h, n = 0.7",
          "linestyle": "-",
          "marker": "None",
          "points": 180
        }
      ]
    },
    {
      "panel_index": 1,
      "spines": {
        "left": true,
        "right": true,
        "top": true,
        "bottom": true
      },
      "continuous_curves": [
        {
          "label": "τ = 0.03 h, n = 0.7",
          "linestyle": "-",
          "marker": "None",
          "points": 180
        },
        {
          "label": "τ = 0.08 h, n = 0.7",
          "linestyle": "-",
          "marker": "None",
          "points": 180
        },
        {
          "label": "τ = 0.2 h, n = 0.7",
          "linestyle": "-",
          "marker": "None",
          "points": 180
        }
      ]
    }
  ],
  "data_frame_checks": [
    {
      "panel_index": 0,
      "spines": {
        "left": true,
        "right": true,
        "top": true,
        "bottom": true
      },
      "continuous_curves": [
        {
          "label": "τ = 0.03 h, n = 0.7",
          "linestyle": "-",
          "marker": "None",
          "points": 180
        },
        {
          "label": "τ = 0.08 h, n = 0.7",
          "linestyle": "-",
          "marker": "None",
          "points": 180
        },
        {
          "label": "τ = 0.2 h, n = 0.7",
          "linestyle": "-",
          "marker": "None",
          "points": 180
        }
      ]
    },
    {
      "panel_index": 1,
      "spines": {
        "left": true,
        "right": true,
        "top": true,
        "bottom": true
      },
      "continuous_curves": [
        {
          "label": "τ = 0.03 h, n = 0.7",
          "linestyle": "-",
          "marker": "None",
          "points": 180
        },
        {
          "label": "τ = 0.08 h, n = 0.7",
          "linestyle": "-",
          "marker": "None",
          "points": 180
        },
        {
          "label": "τ = 0.2 h, n = 0.7",
          "linestyle": "-",
          "marker": "None",
          "points": 180
        }
      ]
    }
  ],
  "continuous_curve_style_checks": [
    {
      "panel_index": 0,
      "label": "τ = 0.03 h, n = 0.7",
      "points": 180,
      "line_style": "-",
      "marker": "None",
      "colour": "#287d8e"
    },
    {
      "panel_index": 0,
      "label": "τ = 0.08 h, n = 0.7",
      "points": 180,
      "line_style": "-",
      "marker": "None",
      "colour": "#ba5574"
    },
    {
      "panel_index": 0,
      "label": "τ = 0.2 h, n = 0.7",
      "points": 180,
      "line_style": "-",
      "marker": "None",
      "colour": "#4868a8"
    },
    {
      "panel_index": 1,
      "label": "τ = 0.03 h, n = 0.7",
      "points": 180,
      "line_style": "-",
      "marker": "None",
      "colour": "#287d8e"
    },
    {
      "panel_index": 1,
      "label": "τ = 0.08 h, n = 0.7",
      "points": 180,
      "line_style": "-",
      "marker": "None",
      "colour": "#ba5574"
    },
    {
      "panel_index": 1,
      "label": "τ = 0.2 h, n = 0.7",
      "points": 180,
      "line_style": "-",
      "marker": "None",
      "colour": "#4868a8"
    }
  ],
  "curve_style_check": "Actual matplotlib artists checked: solid, unmarked continuous traces.",
  "data_frame_check": "All four spines visible on every data axis."
}