The determination of the rotational quadrupole alignment of diatomic molecu
les via REMPI detection is investigated. In this process a high focal inten
sity usually increases the detection probability. At high intensities the A
C Stark effect may cause a splitting of the normally degenerate mj sublevel
s of a rotational state J beyond the spectral width of the exciting radiati
on. This leads to a selective detection of only certain mi states with the
consequence that deduced alignment factors can be misleading. From the theo
retical considerations line profiles are explicitly calculated for dynamic
polarizabilities which represent the B(1)Sigma (+)(u) <-- X(1)Sigma (+)(g)
transition of H-2, in order to fit an experimental (3+1) REMPI spectrum and
to predict (1+1') line shapes as a function of laser intensity. It is furt
her shown that the deduced quadrupole alignment factor A(0)((2)) is signifi
cantly changed by the second order AC Stark effect when the intensities are
chosen high enough to observe asymmetric broadened line profiles. Differen
t combinations of relative linear polarizations of the exciting and ionizin
g laser beams are discussed.