Observed baryon asymmetry of the universe (BAU) cannot be explained by the known sources of charge-parity (CP)-violation in the Standard Model (SM). A non-zero permanent electric-dipole-moment (EDM) of fundamental particles, nuclei or atoms, violates CP. Measuring an EDM definitively allows us to gain a handle on additional sources of CP-violation required to explain the observed BAU. EDM of an atom with a octupole and quadrupole deformed nucleus which are characterized by the terms β3 and β2, respectively, is enhanced. Therefore, the search for such atoms has become important. We have performed a global survey from the list of octupole deformed nuclei predicted in different calculations including Density Functional Theory (DFT), Skyrme, and Hartree-Fock (HF) plus Bardeen-Cooper-Schieffer (BCS). Our search of long-lived, spin-half ground state nuclei with β3,2 >0.1 results in a handful of viable candidate nuclei for future atomic EDM experiments based out of the Facility for Rare Isotope Beams (FRIB). We will present inconsistencies between the theory calculations and measurements, along with highlighting the lack of measurement for certain suspect deformed nuclei. Furthermore, the EDM enhancement in each of these nuclei will be tabulated.