  Precision measurements with atoms and molecules can search for subtle
violations of time-reversal symmetry (T) in nuclei, and thereby probe a variety
of new physics models. We present a detailed scheme for a nuclear T-violation
search experiment using $^{153}$Eu$^{3+}$ ions doped in non-centrosymmetric
sites within a Y$_2$SiO$_5$ crystal. The ions in this solid contain nuclei that
are highly sensitive to T-violation, and avail of large atomic enhancements by
being polarized within the solid. But in particular, the system and methods
that we discuss here enable the use of vast numbers of nuclei trapped in
crystals, while also offering a number of stringent tests to ward off
systematic errors. Our approach maps out a path to probe new physics at the PeV
energy scale.
