Lemonergy · Core equation

arrhenius_factor

Temperature acceleration relative to an explicit reference temperature.

Implementation ID: arrhenius_factor
Reviewed: 2026-10-27

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.

Interface

Original Lemonergy interface view. Lines identify ports; they are not a completed simulation circuit.

Ports and observed outputs
Name	Direction	Unit	Meaning
`return`	output	dimensionless	Scalar float or NumPy array following broadcasting.

Parameters

Defaults are initial model values. Select values for your own model and operating conditions.

Configuration fields
Parameter	Unit	Default	Meaning and limits
temperature c `temperature_c`	deg C	Supplied by the user	Temperature above -273.15 deg C.
activation energy j per mol `activation_energy_j_per_mol`	J/mol	Supplied by the user	Nonnegative activation energy.
reference temperature c `reference_temperature_c`	deg C	25	Reference temperature above absolute zero.

Equations and rules

A = exp((Ea / R) * (1 / T_ref - 1 / T))
R = 8.31446261815324 J/(mol K); temperatures in kelvin

Worked example

Compare reaction rates

At an illustrative 50 kJ/mol activation energy, raising temperature from 25 °C to 35 °C gives a rate factor about 1.92.

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Use in a workflow

Compare reaction rates

Lemonergy Core evaluates this relation.

arrhenius_factor: Core equation
- Temperature (°C)
- Reference temperature (°C)
- Activation energy (J/mol)

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Connected concepts

Limits and interpretation

This factor alone does not predict lifetime or capacity loss.

Implementation sources

This reference follows Lemonergy implementation sources. Scientific articles support the linked concepts separately.

Repository: battery-core · Revision: main

src/battery_core/aging.py

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