NucleationBarrierAndCriticalRadius

Source: models/kwn/NucleationBarrierAndCriticalRadius.py

Compute the nucleation critical radius and Gibbs free energy barrier.

Mirrors the C++ NucleationBarrierAndCriticalRadius:

\[ R_{\mathrm{crit}} = \dfrac{2\,\gamma\,V_m}{\Delta g_{\mathrm{total}}}, \qquad \Delta g = \dfrac{16}{3}\,\pi\,\gamma^{3}\,V_m^{2} \big/ \Delta g_{\mathrm{total}}^{2}, \]

where \(\gamma\) is the surface energy of the precipitate, \(V_m\) is the molar volume, and \(\Delta g_{\mathrm{total}}\) is the total Gibbs free energy difference driving nucleation.

Outputs

nucleation_barrier — output · Scalar · required

Gibbs free energy barrier for nucleation

critical_radius — output · Scalar · required

Critical radius for nucleation

Parameters

surface_energy — parameter · Scalar · required

Surface energy of the precipitate

total_gibbs_free_energy_difference — parameter · Scalar · required

Total Gibbs free energy difference driving nucleation

molar_volume — parameter · Scalar · required

Molar volume of the precipitate