Theoretical justification of the von Weimarn law under homogeneous condensation in the free-molecular regime

The von Weimarn (Weymarn) law establishes the power dependence for the radius of formed droplets on vapor supersaturation initially created in the system. A theoretical derivation of this law is presented based on the classical Volmer–Becker–Döring–Zel’dovich–Frenkel approach. Analytical expressions have been obtained for all coefficients in this law.