The present paper examines the ionic charging of small aerosol particl
es in the intermediate Knudsen regime. A numerical Monte Carlo algorit
hm has been developed and applied for the calculation of the ionic cha
rging rate. In the vicinity of the particle, ion motion is modeled in
the framework of classical Langevin scheme. In the intervals between t
he ion-neutral molecule collisions ion trajectories were calculated wi
th allowance for electrostatic interaction between the ion and the par
ticle. At distances from the particle surface larger than several ion
mean free paths in the carrier gas, ion concentration distributions ar
e found by solving continuum transport equations. A comparison between
the experimental results and the data obtained by virtue of the descr
ibed algorithm, as well as with the predictions of the Fuchs theory is
presented. It is shown, that in the transition regime the dependence
of dimensionless charging current on particle size can be described by
simple empirical formula.