Nucleation & Growth — LaMer Model
Critical nucleus size, the nucleation energy barrier, and the LaMer concentration-vs-time diagram
Parameters
Results
Critical radius r*
—
ΔG* (kT)
—
ΔG* (J)
—
J (nucleation rate)
—
$$r^{*} = \dfrac{2\gamma\Omega}{k_BT\ln S} \qquad
\Delta G^{*} = \dfrac{16\pi\gamma^{3}\Omega^{2}}{3(k_BT\ln S)^{2}} \qquad
J = A\,e^{-\Delta G^{*}/k_BT}$$
ΔG(r) — Nucleation Energy Barrier
LaMer Diagram — Concentration vs Time