  The self-consistent Theory of Finite Fermi Systems based on the Energy
Density Functional by Fayans et al. with the set DF3-a of parameters fixed
previously is used to calculate three kinds of quadrupole moments. At first, we
examined systematically quadrupole moments of odd neighbors of semi-magic lead
and tin isotopes and $N=50,N=82$ isotones. Second, we found quadrupole moments
of the first $2^+$ states in the same two chains of isotopes. Finally, we
evaluated quadrupole moments of odd-odd nuclei neighboring to double magic
ones. Reasonable agreement with available experimental data has been obtained.
Predictions are made for quadrupole moments of nuclei in the vicinity of
unstable magic nuclei
