  Neutrino scattering on atomic systems at low-energy transfer is a powerful
tool for searching the neutrino electromagnetic interactions. The regime of
coherent elastic neutrino-atom scattering, i.e., when the atom recoils as a
pointlike particle, can be effectively fulfilled in the case of tritium
antineutrinos. We present theoretical calculations for coherent elastic
neutrino-atom scattering processes on such targets as the H, $^2$H, $^3$He, and
$^4$He %, and $^{12}$C atoms. We show how the atomic effects and neutrino
electromagnetic properties, namely the neutrino millicharge and magnetic
moment, may manifest themselves in the atomic-recoil spectra. Our results can
be used in planning the experiments on coherent elastic neutrino-atom
scattering (in particular, with superfluid He-4).
