The theoretical expressions, which describe the directional distribution of
gamma rays emitted by oriented nuclei and the deorientation coefficients,
have been analyzed, and the generalization of these expressions was made fo
r the case of the level population from any number of the initally oriented
nuclear states. The possibilities and also restrictions of the low-tempera
ture nuclear orientation method are shown and are illustrated by our experi
mental and theoretical results. The most possibilities of ffered by the nuc
lear orientation study were used. For example, hundreds of spin values, I,
I-i, and I-f, and of the E2/M1, M2/E1, E3/M2 and E0/E2 mixing ratios, the m
echanismus of orientation of EuGd and YbGd, the magnitudes of the magnetic
dipole moments of the Gd-147 and Gd-149 ground states, the attenuation fact
ors of orientation of the excited states in Yb-171, th, E2/M1 mixing ratio
sign change when going from Yb-169 to Yb-171 (observation of the space refl
ection property), the intensities of the components with different multipol
arities in the beta transition from (EuFe)-Eu-154 and so on where determine
d. The studied nuclei were interpreted in the frame of the quasiparticle-ph
onon model of Soloviev, of this model with a Coriolis interaction, of the I
BA models and of the dynamic deformation model. Some future developments an
d possibilities are shown.