  Realistic nuclear structure calculations are presented for the event rates
due to coherent elastic neutrino-nucleus scattering (CE$\nu$NS), assuming
neutrinos from pion-decay at-rest, from nuclear reactors and from Earth's
interior. We focus on the currently interesting Germanium isotopes,
$^{70,73,76}$Ge, which constitute detector materials of the recently planned
CE$\nu$NS experiments. We study in addition the potential use of $^{64,70}$Zn
and $^{28}$Si isotopes as promising CE$\nu$NS detectors. From nuclear physics
perspectives, recently, calculations have been carried out within the framework
of the deformed shell-model (DSM), based on realistic nuclear forces, and
assessed on the reproducibility of spectroscopic nuclear properties. The high
confidence level acquired by their agreement with experimental results and by
their comparison with other mostly phenomenological calculations encouraged the
use of DSM to extract predictions for the CE$\nu$NS event rates of the above
isotopes. Our detailed estimation of the nuclear physics aspects of the
recently observed neutral current coherent neutrino-nucleus scattering may shed
light on unravelling the still remaining uncertainties for the CE$\nu$NS
process within and beyond the Standard Model.
