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        "definition": "An electrode given a deliberate three-dimensional geometry — laser-drilled channels, interdigitated pillars or a porous metal-foam current collector — instead of a uniform flat coating. The structure shortens the paths ions must travel through a thick electrode and enlarges the reactive surface, so a cell can keep its energy while charging faster.",
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      "label": "Porosity reduces effective transport",
      "properties": {
        "title": "Porosity reduces effective transport",
        "summary": "A Bruggeman relation approximates transport through a porous medium.",
        "readout": "At 40% porosity, D_eff is 25.298% of bulk diffusivity.",
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        "note": "An empirical pore-structure assumption; actual tortuosity must be characterized.",
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          "status": "reference",
          "label": "Reference concept",
          "body": "The flux helper accepts a supplied diffusivity. It does not estimate porosity or tortuosity. The shown D_eff = D εᵇ relationship is an explicit teaching assumption.",
          "href": "../transport/ficks-first-law/"
        },
        "html": "<figure class=\"visual-figure\"><figcaption>Effective diffusivity fraction</figcaption><svg class=\"visual-chart\" viewBox=\"0 0 360 330\" role=\"img\" aria-labelledby=\"static-porous-0-title static-porous-0-desc\"><title id=\"static-porous-0-title\">Effective diffusivity fraction</title><desc id=\"static-porous-0-desc\">Porosity ε (fraction) versus D_eff / D (fraction). εᵇ; Straight-pore scaling ε. 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      "id": "reference:doyle-model",
      "type": "Reference",
      "label": "Modeling of Galvanostatic Charge and Discharge of the Lithium/Polymer/Insertion Cell",
      "properties": {
        "title": "Modeling of Galvanostatic Charge and Discharge of the Lithium/Polymer/Insertion Cell",
        "publisher": "Journal of The Electrochemical Society",
        "url": "https://doi.org/10.1149/1.2221597",
        "type": "Research article",
        "scope": "Porous-electrode transport and insertion-cell modeling; foundational work rather than a specification for a particular commercial cell.",
        "year": 1993,
        "authors": [
          "Marc Doyle",
          "Thomas F. Fuller",
          "John Newman"
        ],
        "accessed": "2026-10-27"
      }
    }
  ]
}
