We present the results of the kinetic theory of laser cooling for four basi
c multilevel atomic schemes: (3+5)-, (5+7)-, (7+9)-, and (9+11)-level atoms
in a sigma (+) - sigma (-) field configuration. The underlying physical pr
ocesses and the effectiveness of laser cooling are compared for the differe
nt models. We show that even-order multiphoton processes caused by two lase
r waves can be identified as the basic physical mechanism responsible for t
he subDoppler laser cooling of atoms. The temperature of laser-cooled atoms
is derived for all four models and is found to be lower for atomic schemes
with bigger numbers of sublevels.