Battery knowledge · Transport and modelling
Warburg impedance
The impedance of diffusion, which appears as a 45° line at the low-frequency end of a Nyquist plot. Its slope and onset frequency give a route to the diffusion coefficient.
Example
Transport and modelling: an example situation
The same concentration difference across 10 μm gives ten times the gradient across 100 μm; at equal D, first-law flux magnitude is ten times greater.
Read Warburg impedance alongside Diffusion coefficient in this context. The proportionality constant D in Fick’s first law, in m²/s. It sets how fast a species spreads for a given concentration gradient.
Use in Lemonergy
Specify phase, direction and boundaries.
This is a reference concept. No executable Lemonergy block has been verified for this term.
References & further reading
Further reading on this topic
These sources provide broader context; they are not presented as citations for every statement in this entry.
- Modeling of Galvanostatic Charge and Discharge of the Lithium/Polymer/Insertion Cell
Marc Doyle, Thomas F. Fuller, John Newman · Journal of The Electrochemical Society · 1993
Topic background · Porous-electrode transport and insertion-cell modeling; foundational work rather than a specification for a particular commercial cell.
- Quantities, Units and Symbols in Physical Chemistry, 3rd edition, 2nd printing
IUPAC · 2011
Topic background · Physical-chemistry notation, thermodynamics, electrochemistry and transport quantities.