{
  "node": {
    "id": "term:overpotential",
    "type": "Term",
    "label": "Overpotential",
    "properties": {
      "id": "overpotential",
      "name": "Overpotential",
      "abbr": "η",
      "section": "topic-electrochemistry",
      "definition": "The extra voltage, beyond the equilibrium potential, needed to drive a reaction at a given rate at one electrode. Activation overpotential pays for charge transfer, concentration overpotential for depleted reactant, and both appear as polarization at the terminals.",
      "unit": "V",
      "related": [
        "polarization",
        "butler-volmer",
        "exchange-current-density",
        "concentration-polarization"
      ],
      "url": "https://lemonergy.com/learn/glossary/overpotential/",
      "mentions": [
        "electrode",
        "charge-transfer"
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    {
      "id": "topic:topic-electrochemistry",
      "type": "Topic",
      "label": "Electrochemistry fundamentals",
      "properties": {
        "id": "topic-electrochemistry",
        "name": "Electrochemistry fundamentals",
        "lede": "The reactions and potentials that make a cell a battery.",
        "context": "Connect reaction sites and transport paths.",
        "example": "A circuit can predict terminal voltage while leaving electrode potentials and reaction kinetics unresolved.",
        "lesson_url": "https://lemonergy.com/learn/fundamentals/cell-anatomy/",
        "lesson_label": "Open cell anatomy"
      }
    },
    {
      "id": "term:polarization",
      "type": "Term",
      "label": "Polarization",
      "properties": {
        "id": "polarization",
        "name": "Polarization",
        "aka": [
          "overvoltage"
        ],
        "section": "topic-charging",
        "definition": "The gap between a cell’s terminal voltage under load and its open-circuit voltage. It has ohmic, charge-transfer and concentration parts, grows with current and falling temperature, and is where delivered energy is lost.",
        "unit": "V",
        "related": [
          "overpotential",
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          "concentration-polarization",
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      "id": "term:butler-volmer",
      "type": "Term",
      "label": "Butler–Volmer equation",
      "properties": {
        "id": "butler-volmer",
        "name": "Butler–Volmer equation",
        "section": "topic-electrochemistry",
        "definition": "The kinetic law relating current density at an electrode to its overpotential: current grows exponentially with overpotential in each direction. It is the charge-transfer term in every physics-based cell model.",
        "formula": "i = i₀[exp(α_a·Fη/RT) − exp(−α_c·Fη/RT)]",
        "related": [
          "overpotential",
          "exchange-current-density",
          "charge-transfer",
          "newman-model"
        ],
        "example": {
          "title": "Compare equilibrium with a positive overpotential",
          "text": "For a symmetric one-electron example at 298.15 K, αa = αc = 0.5 and η = 25.7 mV give i/i₀ ≈ 1.04. At η = 0 the forward and reverse contributions cancel, so net current is zero."
        },
        "url": "https://lemonergy.com/learn/glossary/butler-volmer/",
        "mentions": [
          "electrode"
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    {
      "id": "term:exchange-current-density",
      "type": "Term",
      "label": "Exchange current density",
      "properties": {
        "id": "exchange-current-density",
        "name": "Exchange current density",
        "abbr": "i₀",
        "section": "topic-electrochemistry",
        "definition": "The equal and opposite current flowing each way across an electrode interface at equilibrium. A high value means fast kinetics and a small overpotential; it falls steeply with temperature, which is part of why cold cells are sluggish.",
        "unit": "A/m²",
        "related": [
          "butler-volmer",
          "overpotential",
          "charge-transfer",
          "operating-temperature"
        ],
        "url": "https://lemonergy.com/learn/glossary/exchange-current-density/",
        "mentions": [
          "electrode"
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      }
    },
    {
      "id": "term:concentration-polarization",
      "type": "Term",
      "label": "Concentration polarization",
      "properties": {
        "id": "concentration-polarization",
        "name": "Concentration polarization",
        "section": "topic-electrochemistry",
        "definition": "Voltage loss that arises when reactant is consumed faster than diffusion can replace it, so the concentration at the surface differs from the bulk. It dominates at high current and low temperature and recovers slowly when current stops.",
        "related": [
          "polarization",
          "diffusion",
          "overpotential",
          "relaxation",
          "concentration-gradient"
        ],
        "url": "https://lemonergy.com/learn/glossary/concentration-polarization/",
        "mentions": []
      }
    },
    {
      "id": "term:electrode",
      "type": "Term",
      "label": "Electrode",
      "properties": {
        "id": "electrode",
        "name": "Electrode",
        "section": "topic-components",
        "definition": "A solid conductor where the cell’s reaction happens, in contact with the electrolyte. A lithium-ion cell has a negative electrode and a positive electrode, each a porous coating on a metal foil.",
        "related": [
          "negative-electrode",
          "positive-electrode",
          "porous-electrode",
          "current-collector"
        ],
        "lesson": "fundamentals/cell-anatomy/#components",
        "example": {
          "title": "Two transport paths",
          "text": "Electrons need connected solid paths to the collector; ions need electrolyte paths to reaction sites. More of one constituent displaces others at fixed volume."
        },
        "url": "https://lemonergy.com/learn/glossary/electrode/",
        "mentions": [
          "electrolyte",
          "coating"
        ]
      }
    },
    {
      "id": "term:charge-transfer",
      "type": "Term",
      "label": "Charge transfer",
      "properties": {
        "id": "charge-transfer",
        "name": "Charge transfer",
        "section": "topic-electrochemistry",
        "definition": "The step in which an electron crosses the interface between electrode and electrolyte as an ion is inserted or removed. Its resistance appears as a semicircle in impedance spectra and grows as films thicken and the cell cools.",
        "related": [
          "butler-volmer",
          "double-layer",
          "electrochemical-impedance-spectroscopy",
          "overpotential",
          "solvation"
        ],
        "url": "https://lemonergy.com/learn/glossary/charge-transfer/",
        "mentions": [
          "impedance",
          "electrode",
          "electrolyte"
        ]
      }
    },
    {
      "id": "visual:butler-volmer",
      "type": "Visual",
      "label": "Overpotential drives reaction current",
      "properties": {
        "title": "Overpotential drives reaction current",
        "summary": "At equilibrium, forward and reverse reaction currents cancel.",
        "readout": "At equilibrium net current is zero. At +50 mV, current density is 2.268 A/m².",
        "formula": "i = 2i₀ sinh(Fη / 2RT)",
        "note": "Fixed concentrations, symmetric transfer coefficients and no transport limitation.",
        "software": {
          "status": "reference",
          "label": "Reference concept",
          "body": "This symmetric Butler–Volmer relation assumes one electron, α = 0.5 and 25 °C. It is a reference equation, not an implemented reaction model in battery-core.",
          "href": "../chapter-1/"
        },
        "html": "<figure class=\"visual-figure\"><figcaption>Symmetric reaction kinetics at 25 °C</figcaption><svg class=\"visual-chart\" viewBox=\"0 0 360 330\" role=\"img\" aria-labelledby=\"static-butler-volmer-0-title static-butler-volmer-0-desc\"><title id=\"static-butler-volmer-0-title\">Symmetric reaction kinetics at 25 °C</title><desc id=\"static-butler-volmer-0-desc\">Overpotential (V) versus Current density (A/m²). Net reaction current. Interpretation follows the graphs.</desc><path d=\"M74,238h268\" stroke=\"currentColor\" opacity=\".13\"/><text x=\"64\" y=\"242\" text-anchor=\"end\" font-size=\"13\" fill=\"currentColor\">-18.5</text><text x=\"74\" y=\"265\" text-anchor=\"middle\" font-size=\"13\" fill=\"currentColor\">-0.15</text><path d=\"M74,188.5h268\" stroke=\"currentColor\" opacity=\".13\"/><text x=\"64\" y=\"192.5\" text-anchor=\"end\" font-size=\"13\" fill=\"currentColor\">-9.24</text><text x=\"141\" y=\"265\" text-anchor=\"middle\" font-size=\"13\" fill=\"currentColor\">-0.075</text><path d=\"M74,139h268\" stroke=\"currentColor\" opacity=\".13\"/><text x=\"64\" y=\"143\" text-anchor=\"end\" font-size=\"13\" fill=\"currentColor\">0</text><text x=\"208\" y=\"265\" text-anchor=\"middle\" font-size=\"13\" fill=\"currentColor\">0</text><path d=\"M74,89.5h268\" stroke=\"currentColor\" opacity=\".13\"/><text x=\"64\" y=\"93.5\" text-anchor=\"end\" font-size=\"13\" fill=\"currentColor\">9.24</text><text x=\"275\" y=\"265\" text-anchor=\"middle\" font-size=\"13\" fill=\"currentColor\">0.075</text><path d=\"M74,40h268\" stroke=\"currentColor\" opacity=\".13\"/><text x=\"64\" y=\"44\" text-anchor=\"end\" font-size=\"13\" fill=\"currentColor\">18.5</text><text x=\"342\" y=\"265\" text-anchor=\"middle\" font-size=\"13\" fill=\"currentColor\">0.15</text><path d=\"M74,40v198h268\" fill=\"none\" stroke=\"currentColor\" opacity=\".3\"/><polyline fill=\"none\" stroke=\"#2459a8\" stroke-width=\"2.8\" points=\"74.00,238.00 75.79,234.20 77.57,230.54 79.36,227.02 81.15,223.64 82.93,220.38 84.72,217.25 86.51,214.23 88.29,211.33 90.08,208.54 91.87,205.85 93.65,203.26 95.44,200.78 97.23,198.38 99.01,196.08 100.80,193.86 102.59,191.73 104.37,189.67 106.16,187.69 107.95,185.79 109.73,183.96 111.52,182.19 113.31,180.49 115.09,178.85 116.88,177.28 118.67,175.76 120.45,174.30 122.24,172.89 124.03,171.53 125.81,170.22 127.60,168.96 129.39,167.74 131.17,166.57 132.96,165.44 134.75,164.35 136.53,163.30 138.32,162.28 140.11,161.30 141.89,160.35 143.68,159.44 145.47,158.56 147.25,157.70 149.04,156.88 150.83,156.08 152.61,155.31 154.40,154.56 156.19,153.84 157.97,153.14 159.76,152.46 161.55,151.80 163.33,151.16 165.12,150.53 166.91,149.93 168.69,149.34 170.48,148.77 172.27,148.21 174.05,147.67 175.84,147.14 177.63,146.62 179.41,146.12 181.20,145.62 182.99,145.13 184.77,144.66 186.56,144.19 188.35,143.73 190.13,143.28 191.92,142.83 193.71,142.39 195.49,141.96 197.28,141.53 199.07,141.10 200.85,140.68 202.64,140.25 204.43,139.84 206.21,139.42 208.00,139.00 209.79,138.58 211.57,138.16 213.36,137.75 215.15,137.32 216.93,136.90 218.72,136.47 220.51,136.04 222.29,135.61 224.08,135.17 225.87,134.72 227.65,134.27 229.44,133.81 231.23,133.34 233.01,132.87 234.80,132.38 236.59,131.88 238.37,131.38 240.16,130.86 241.95,130.33 243.73,129.79 245.52,129.23 247.31,128.66 249.09,128.07 250.88,127.47 252.67,126.84 254.45,126.20 256.24,125.54 258.03,124.86 259.81,124.16 261.60,123.44 263.39,122.69 265.17,121.92 266.96,121.12 268.75,120.30 270.53,119.44 272.32,118.56 274.11,117.65 275.89,116.70 277.68,115.72 279.47,114.70 281.25,113.65 283.04,112.56 284.83,111.43 286.61,110.26 288.40,109.04 290.19,107.78 291.97,106.47 293.76,105.11 295.55,103.70 297.33,102.24 299.12,100.72 300.91,99.15 302.69,97.51 304.48,95.81 306.27,94.04 308.05,92.21 309.84,90.31 311.63,88.33 313.41,86.27 315.20,84.14 316.99,81.92 318.77,79.62 320.56,77.22 322.35,74.74 324.13,72.15 325.92,69.46 327.71,66.67 329.49,63.77 331.28,60.75 333.07,57.62 334.85,54.36 336.64,50.98 338.43,47.46 340.21,43.80 342.00,40.00\"/><text transform=\"translate(208 303)\" text-anchor=\"middle\" font-size=\"14\" fill=\"currentColor\"><tspan x=\"0\" dy=\"0\">Overpotential (V)</tspan></text><text transform=\"translate(20 139) rotate(-90)\" text-anchor=\"middle\" font-size=\"14\" fill=\"currentColor\"><tspan x=\"0\" dy=\"0\">Current density (A/m²)</tspan></text></svg><div class=\"visual-legend\"><span><i style=\"background:#2459a8\"></i>Net reaction current</span></div></figure>"
      }
    },
    {
      "id": "reference:iupac-green",
      "type": "Reference",
      "label": "Quantities, Units and Symbols in Physical Chemistry, 3rd edition, 2nd printing",
      "properties": {
        "title": "Quantities, Units and Symbols in Physical Chemistry, 3rd edition, 2nd printing",
        "publisher": "IUPAC",
        "url": "https://media.iupac.org/publications/books/gbook/IUPAC-GB3-2ndPrinting-Online-22apr2011.pdf",
        "type": "Technical reference",
        "scope": "Physical-chemistry notation, thermodynamics, electrochemistry and transport quantities.",
        "year": 2011,
        "accessed": "2026-10-27"
      }
    }
  ]
}
