Theory of a quantum-mechanical nucleation rate: classical vs. quantal nucleation

We address problems arising in supersaturated systems of small atomic particles in solids. Nucleation processes in such systems do not seem to follow the classical interpretation but may be indicative of quantal nucleation partucularly at higher supersaturations. We reconcile Gibbs' free energy DeltaG vs. particle radius r dependence with the double-well oscillator energy vs. configurational coordinate q dependence to take advantage of the solution of a well-known eigenvalue problem. Theoretical results are presented and compared with experimental data.