Particle Diffusivity Functions

ionworkspipeline.direct_entries.arrhenius_particle_diffusivity(electrode)

Returns a DirectEntry object with a reference diffusivity multiplied by arrhenius temperature dependence for the negative or positive electrode. The reference diffusivity can be a constant, or a function of the stoichiometry.

The diffusivity is of the form:

\[D = D_{ref}(sto) \exp(E / R (1 / 298.15 - 1 / T))\]

where \(D_{ref}\) is the reference diffusivity, \(E\) is the activation energy, \(R\) is the gas constant, and \(T\) is the temperature.

This leaves the following parameters to be defined (e.g. by fitting to data):

• Negative/Positive particle reference diffusivity [m2.s-1] ($D_{ref}$)

• Negative/Positive particle diffusivity activation energy [J.mol-1] ($E$)

Parameters

electrodestr

The electrode to return the diffusivity for. Must be “negative” or “positive”.