We present a new theory for the nucleation of gas-phase monomers in a super
saturated vapor on a growing short-chain polymer. Reiss and co-workers have
shown that cloud chambers can be extraordinarily sensitive detectors of si
ngle molecules of particular size in such experiments, giving valuable info
rmation about rate constants for gas-phase polymerization. We have used a d
ensity functional approach to calculate the free energy and heterogeneous n
ucleation rate of liquid drops of monomer on oligomer chains of varying len
gth. We show that the free energy is not a simple monotonic function of cha
in length as assumed in simple classical theories. (C) 1999 American Instit
ute of Physics. [S0021-9606(99)51719-4].