Despite the recent success of hydrodynamical simulations of binary compact objects, the details of r-processing in these events are still affected by a variety of uncertainties, including in particular those associated with the still complex nuclear physics description of exotic neutron-rich nuclei. R-process nucleosynthesis calculations require a reaction network consisting of about 5000 species from protons up to Z 110 lying between the valley of β-stability and the neutron drip line. Since only an extremely tiny amount of experimental data on neutron-rich nuclei produced during the r-process are known experimentally, theoretical models are crucial in providing the various predictions. Our capacity to predict fundamental nuclear ingredients, namely, nuclear masses, β-decay rates, radiative neutron capture rates, and fission probabilities, for all those 5000 nuclei is discussed in the present chapter. To analyze their impact on the r-process S. Goriely ( ) • I. Kullmann Institut d'Astronomie et d'Astrophysique, CP-