  Ground state quadrupole moments of odd-odd near double magic nuclei are
calculated in the approximation of no interaction between odd particles. Under
such a simple approximation, the problem is reduced to the calculations of
quadrupole moments of corresponding odd-even nuclei. These calculations are
performed within the self-consistent Theory of Finite Fermi Systems based on
the Energy Density Functional by Fayans et al. with the known DF3-a parameters.
A reasonable agreement with the available experimental data has been obtained
for odd-odd nuclei and odd near-magic nuclei investigated. The self-consistent
approach under consideration allowed us to predict the unknown quadrupole
moments of odd-even and odd-odd nuclei near the double-magic $^{56,78}$Ni,
$^{100,132}$Sn ones.
