Essential difficulties of the nucleation theory have been considered,
especially those of calculating the number of droplets forming per uni
t time nu during the condensation of vapor. A more general statistical
method using the Gibb's grand ensemble as the basis has been shown in
the case of moderate supersaturations to allow, in a very strict and
general manner, the determination of nu, a pre-exponential factor incl
usive. For a particular case of rarefied vapor, the pre-exponential fa
ctor coincides with that found by Frenkel.