{
  "node": {
    "id": "block:arrhenius_factor",
    "type": "Block",
    "label": "arrhenius_factor",
    "properties": {
      "id": "arrhenius_factor",
      "name": "arrhenius_factor",
      "kind": "core",
      "summary": "Temperature acceleration relative to an explicit reference temperature.",
      "behavior": "Temperatures are supplied in Celsius and converted to kelvin internally; both must exceed absolute zero. Activation energy is nonnegative. This factor can scale a rate but does not predict cell lifetime by itself.",
      "ports": [
        {
          "name": "return",
          "direction": "output",
          "unit": "dimensionless",
          "description": "Scalar float or NumPy array following broadcasting."
        }
      ],
      "parameters": [
        {
          "key": "temperature_c",
          "label": "temperature c",
          "unit": "deg C",
          "description": "Temperature above -273.15 deg C."
        },
        {
          "key": "activation_energy_j_per_mol",
          "label": "activation energy j per mol",
          "unit": "J/mol",
          "description": "Nonnegative activation energy."
        },
        {
          "key": "reference_temperature_c",
          "label": "reference temperature c",
          "unit": "deg C",
          "description": "Reference temperature above absolute zero.",
          "default": 25
        }
      ],
      "equations": [
        "A = exp((Ea / R) * (1 / T_ref - 1 / T))",
        "R = 8.31446261815324 J/(mol K); temperatures in kelvin"
      ],
      "example": {
        "title": "Compare reaction rates",
        "text": "At an illustrative 50 kJ/mol activation energy, raising temperature from 25 °C to 35 °C gives a rate factor about 1.92.",
        "url": "https://lemonergy.com/learn/fundamentals/battery-aging/#arrhenius",
        "label": "Open the worked lesson"
      },
      "limits": [
        "This factor alone does not predict lifetime or capacity loss."
      ],
      "evidence": [
        "src/battery_core/aging.py"
      ],
      "caseIds": [
        "arrhenius"
      ],
      "type": "arrhenius_factor",
      "implementationId": "arrhenius_factor",
      "url": "https://lemonergy.com/learn/glossary/blocks/arrhenius_factor/",
      "documentationUrl": "https://lemonergy.com/learn/glossary/blocks/arrhenius_factor/",
      "sourceFile": "block-library.json",
      "sourceRepository": "battery-core",
      "sourceRevision": "main",
      "reviewed": "2026-10-27"
    }
  },
  "incoming": [
    {
      "id": "edge:usesBlock/arrhenius/0",
      "type": "usesBlock",
      "source": "workflow:arrhenius",
      "target": "block:arrhenius_factor",
      "properties": {
        "sourceFile": "wiki-blocks.json",
        "position": 0,
        "name": "arrhenius_factor",
        "type": "arrhenius_factor",
        "role": "Core equation",
        "settings": [
          "Temperature (°C)",
          "Reference temperature (°C)",
          "Activation energy (J/mol)"
        ]
      }
    }
  ],
  "neighbors": [
    {
      "id": "workflow:arrhenius",
      "type": "Workflow",
      "label": "Compare reaction rates",
      "properties": {
        "id": "arrhenius",
        "title": "Compare reaction rates",
        "kind": "core",
        "summary": "Lemonergy Core evaluates this relation.",
        "steps": [
          "Open the lesson and inspect the equation.",
          "Change one input while holding the others fixed."
        ],
        "example": "At an illustrative 50 kJ/mol activation energy, raising temperature from 25 °C to 35 °C gives a rate factor about 1.92.",
        "observe": "Compare the result with the equation and units.",
        "limits": "This factor alone does not predict lifetime or capacity loss.",
        "url": "https://lemonergy.com/learn/fundamentals/battery-aging/#arrhenius",
        "label": "Open the worked lesson",
        "evidence": [
          "src/battery_core/aging.py"
        ]
      }
    }
  ]
}