In the first part of this paper we briefly review some basic concepts of ki
netic theory. The concept of the velocity distribution function is first in
troduced and its meaning is discussed. Then, the Boltzmann equation is pres
ented on physical grounds and it is shown that the fluid equations are its
moments. In the second part, the Boltzmann equation for free electrons in a
low-temperature plasma is analysed. It is shown how this equation can appr
oximately be solved for electrons under a HF field of frequency omega (incl
uding the particular case of a de field, which corresponds to the limit ome
ga = 0) by using a first-order double expansion in spherical harmonics in v
elocity space and a Fourier series in time. The electron transport paramete
rs, particle balance and energy balance are analysed from a general point o
f view. Finally, an application to argon and nitrogen is given. The effects
of changes in the field frequency on the electron energy distribution func
tion, transport parameters and power balance are discussed. The importance
of the coupling between the electron and the vibrational kinetics in N-2 is
emphasized.